diff --git "a/data/dm_maths/full_data/10889_11255.jsonl" "b/data/dm_maths/full_data/10889_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10889_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the ten thousands digit of 3075397365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllrrl. Give prob of picking 3 l.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10*c**4 - 3*c**3 + 12*c. Let a(m) = 11*m**4 + 2*m**3 - 13*m. Let d(s) = 3*a(s) + 2*u(s). What is the second derivative of d(l) wrt l?\nAnswer: 156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 2, -13, 11.\nAnswer: -71, -13, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 11 - ((891 - 873) + -38 + 1 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 14*g + 18. Let v be a(20). Let r = -93 + v. Suppose 2*x + 15 = -j + r, -3*j = x - 105. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**3\/6 + 2*b**2 + 3*b. Let v be m(-8). Calculate the greatest common factor of 36 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/24 + 2*m + 11. Solve l(i) = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1753, 1912, 2067, 2212, 2341, 2448, 2527, 2572?\nAnswer: 2577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064049 rounded to 4 decimal places?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -43. Suppose 14*s + o*s - 340 = 0. Suppose 3*i - i - 20 = 0. What is the remainder when s is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.081696 times -4\nAnswer: -0.326784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**3 - 10*p**2 - 13*p - 9. Let t be s(-6). Suppose 0 = 3*k - l - l - 359, 3*k = 3*l + t. Let o = -75 + k. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/80521 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2348 by -1465.\nAnswer: -2348\/1465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**4 + 0 + 0)*(-3 + 5 - 1)*(22*g - 279 + 279).\nAnswer: -88*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7867529 and 42503?\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 38. Suppose 2*y - l = -4. Let q = y - 8. Solve -q*u + 16 = -0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 1003?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-10))\/((144\/(-15))\/16)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17971991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466703938?\nAnswer: 2, 457, 510617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13116 = 4*q - u - 13165, -q - 7*u = 24 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-15))\/(19\/(3990\/(-238))).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8*w**2 - 82*w - 118. Determine t(12).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 450353109 to the power of 1\/2, to the nearest integer?\nAnswer: 21222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**25*t**(-4)*t assuming t is positive.\nAnswer: t**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -382, -373, -352, -313, -250, -157, -28, 143?\n\"Answer: w**3 + 2*w - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009306186 to 6 decimal places.\nAnswer: -0.009306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -24*p**3 + 3*p**2 - 3. Let l(r) = -24*r**3 + 2*r**2 - 2. Let g(v) = -4*l(v) + 3*t(v). Let a be (5*8\/20)\/(-7 + 9). List the prime factors of g(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.13 - 3.12. Let r = t + 19.2. Is 0.3 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 1, b: 1, d: 2, n: 1, k: 2}. Give prob of picking 1 k, 1 q, and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 + -113. Suppose -6*m = -11*m - 20, -76 = -w*k + 4*m. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/45)*b*b\/b**8)**(-7))**(-37) assuming b is positive.\nAnswer: b**(-58793\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = -2*r + 13370. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21843 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-6.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.7 - -4281077?\nAnswer: 4281063.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/3))\/(b\/(b**(-1\/43)\/b))*b**(-13)\/(b\/((b*b**(-35)\/b*b)\/b)) assuming b is positive.\nAnswer: b**(-6367\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*t**4 + 11*t**3 + t**2 + 241 wrt t.\nAnswer: -2088*t + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 4*f = 44, 5*k + 2*f - 3 = 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117\/4 - -29. Let s = -17.44 - 0.96. Let w = s - -18. What is the second smallest value in w, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1753?\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(390\/(-10))\/13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*z - 719 = 525*z + 437 + 1763 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from lntllldtdtllkn?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)*n)**34*n**(-13)*n**(-1\/2))**(-2\/3) assuming n is positive.\nAnswer: n**(299\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 47 and -7276234929400.\nAnswer: -7276234929353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a**2 - 72*a - 5. Is l(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 99*f - 295. Let x be q(3). Solve 4*a + 2*g + 0*g - 10 = 0, -x*g - 15 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i = 5*b + 32, -4*b = -4*i. What is the closest to 1 in 0.4, i, -0.4, -19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006778 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-18)\/(-62)*(-3 - 403\/(-78)) and (0 + 2\/(-4))\/(-13).\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 81 = 25. Suppose 0*b - 15 = -3*b - 3*l, -4*b + w*l = -44. What is the remainder when 39 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-3129\nAnswer: 15645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 126059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 15*w + 2240 = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, 13.1, 3, -4\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*1)**2*-6 + sqrt(13))*4.\nAnswer: -312 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001055544 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-2)*1 + -6. Let g(v) be the second derivative of -v**5\/20 - v**4\/12 - v**3 - v**2 - 770*v. List the prime factors of g(z).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 14740447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2*d = 0. Suppose 4*r - 10 = -2. Suppose k + r*k = y + 5, 20 = -2*k - 4*y. Solve d = j + 2 - k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2239 + -2236. Solve -8*y = k*y + 77 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -57. Suppose -h = d - 58. What is the remainder when h is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + 2*sqrt(171)*-2 + sqrt(171))*3*1)\/(sqrt(1296) - sqrt(1296)*-2*-6 - (sqrt(1296) - ((sqrt(1296)*1 + sqrt(1296))*-1 + sqrt(1296)))))**2.\nAnswer: 19\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121691.\nAnswer: 73, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -3 (c) 2\/7 (d) 4.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10021211201 (base 3) to base 12\nAnswer: 31591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -2) + (-400)\/(-200). What is the greatest common divisor of 4020 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 12:07 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72675\/(-765)*1\/(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 7*x**2 - 10*x - 11. What is f(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71\/(-2059)*(-3915)\/108?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 0*z - 13*z - 9 + 29*z + 19*z. Let o(w) = 52*w - 13. Calculate -7*d(b) + 5*o(b).\nAnswer: 15*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h + 10 = 8*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*u - 142212 + 284420 - 142208.\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 + 1 = 0. Let m be (-1 + 2)\/(3\/9). Suppose m*s + 3*y = -5 + 2, 5*s - 25 = y. Solve -l*n + 10 = -s*o, -o + 4*n = o + 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 186565 - -5?\nAnswer: 18656a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45417?\nAnswer: 3, 15139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19199471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18181059.\nAnswer: 3, 13, 466181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 0*y + 2*b = 12, -47*y + 107 = -2*b + 13 + 22 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8565944*b**2 - 29216981*b?\nAnswer: -17131888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -87*u + 7744. Let g be c(89). Suppose f - 2*f = t, 2*f = t - 6. Let q(b) = -b**2 + 2*b. Let r be q(t). Solve r = o + g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**20*g\/(g*g\/(g**14\/g)))**15)**(8\/7) assuming g is positive.\nAnswer: g**(4080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -11. Suppose -k - c + 1 = 0, 4*k + 3*c - 4 = -0. Suppose 4*z - 3*q - k = 0, q + q = 5*z - 10. Sort s, z, 3 in decreasing order.\nAnswer: z, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -339 - -351. Let l be 56\/s + -1 + (-2)\/3. Solve 0 = t - 2, 3*j - j - l*t = -16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(12)\/sqrt(3)))\/(1*sqrt(539) + sqrt(539)).\nAnswer: sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 plus -6373?\nAnswer: -6456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(12)*-4) + -1.\nAnswer: -1 - sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5237875 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 316\/19 (c) -0.5 (d) 2.3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 99275 + -4?\nAnswer: 99271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (39 - 27 - 33)*(4*n**2 - 4*n**2 - n**2) + (0*n - 2*n + n)*(19*n + 24*n - 73*n) as f*n + q*n**2 + y and give q.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -524?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*h - 214*h + 6*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 + -68. What is the least common multiple of j and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 48, 82, 120, 162, 208, 258?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 14\/13*g**2 - 8\/13 - 6\/13*g**4 + 2\/13*g**3 + 0*g - 2\/13*g**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 5, -36\/14507 in decreasing order.\nAnswer: 5, -36\/14507, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 4*b + 5. Let f be r(-4). Suppose -f*t = 7 + 43. Let c = 9 - t. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 3, -4, -7.6, 0.4?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*z - 55614 = -54*z - 8*z. Calculate the highest common factor of z and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 4*h + 9. Let y = 758 - 751. What is g(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -305.3 - -292. Let m = y - -13. Is m at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 28116639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, m: 1, y: 2, u: 1, o: 1, k: 1}. Give prob of sequence ykmy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 24*l - 26. Let c(g) = 5*g - 5. Let z(a) = -14*c(a) + 3*q(a). What are the prime factors of z(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/16719 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*y = -32. Let u = 6 - y. Sort 4, -4, u in decreasing order.\nAnswer: 4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.17, -5, -4, 4\/2913 in ascending order.\nAnswer: -5, -4, 4\/2913, 0.17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8122 and 20584.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -7*r**4\/24 - 2*r**2. Suppose 0 = 4*b + f - 4, -2*b - 2*f + 5*f = -2. Determine a(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 11:36 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 2*l)*(-3 + 0 + 4 - 2*l).\nAnswer: -4*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 0 - 1 + 2*x - 3. What is the units digit of q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11697729109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84568, -84566, -84564, -84562, -84560?\nAnswer: -84558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 80, 2 in decreasing order.\nAnswer: 80, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((5 + (-1 + sqrt(68) - sqrt(68)))*4*1)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*c - 19 = 0, 3*x - 8*c - 22 = -4*c. Suppose -10 = 5*g, -x*i + 5*i - g + 86 = 0. What is the least common multiple of i and 64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.97 - -2. Let u = -0.12 - x. Let i = 0.1500158 + u. Round i to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 29 - 11 = 0. Let m = s - 2. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - 1311?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -350656 (base 8) in base 9?\nAnswer: -201470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0.2 (c) 1 (d) 0.4 (e) 4\/7 (f) 348\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = 2*n, 997*n - 2 = -m + 1001*n. Let r = -2 - -3. Let z = -3 + r. Sort 0, z, m, -1.\nAnswer: z, -1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/21 + 228\/(-210).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**3\/3 - 2. Let s(f) = -778*f**2 + 758*f**2 + 3*f - 3*f. Determine d(s(l)).\nAnswer: 400*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 1053867?\nAnswer: -1053862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 3*p - 48, 3*p = -2*i - 90 + 69 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -995\/2 - -508. Let o = 151\/14 - y. Which is the second biggest value? (a) 3\/7 (b) -1\/2 (c) -1\/3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*j - 51. Suppose 3*p + 10 = 2*a, 3*a - j = 4*p + a. Let o be (2 + (-2 - p))*1. Solve o*y + 3*y = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*n + 16 - 16*n - 8*n)*(n + 3 - 3)*(42 - 42 + 21*n) in the form x*n**3 + m*n**2 + g*n + r and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2733002 and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - i + 4. Let m(s) = -s**3 - 10*s**2 + s + 10. Let g be m(-10). List the prime factors of l(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -36053.7\nAnswer: -108161.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p - 16. Let i(k) = -2*k - 10. Let d(o) = -5*b(o) + 8*i(o). Let c(w) be the second derivative of -5*w**3\/3 + w. Calculate d(c(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13828173 divided by 4609391\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 4:33 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135963837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*u - 8, -4*u + 2 = -w - w. Which is the nearest to u? (a) -7 (b) -0.07 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -9a623c?\nAnswer: 9a623a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*422723.\nAnswer: -845446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 23. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -11 - (-6 - -2) - 16\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 4, 0, 1500 in descending order.\nAnswer: 1500, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) - 104\/(-28). Let f(g) = -g**2 - 5*g - 6. Let x be f(-4). Let m be 176\/10 - x\/5. Solve 2 + m = z*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 2*i + i - 4*i + 2*i.\nAnswer: i + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-7)\/(-1))*4671\/54. Let u = -505 - y. Solve 5*n + u = 2*h + 3, 4*h = -4*n + 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 1}. What is prob of sequence if?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 10*k**3 - 9*k**2 + 3*k + 5. Let t(j) = 10*j**3 - 8*j**2 + 2*j + 5. Let p(m) = -5*f(m) + 6*t(m). Is p(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. Let y = -2 - a. Suppose -2*p = -3*x, 0*x + 4*x = -3*p + 17. What is the third biggest value in y, -1\/5, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 2*f - 70 = 0. Let w be 0\/(2*f\/5). Solve w = -5*z + 21 - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -207 at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*5\/(-73740)*-12. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351842 (base 11) to base 7\nAnswer: 4514605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4)**(-40)\/((v*v*v*v*(v**(4\/7)\/v)\/v*v*v)\/v**31))**(-13) assuming v is positive.\nAnswer: v**(12155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 8. Let f be c(7). Suppose -a - z + f*z = -22, -4*a + 5*z = -43. Suppose x = -4*n + a, -4*n - 5*x + 11 = -8. Which is smaller: n or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8851430*b - 8851438*b + 269 - 269.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 3\/10*y**5 + 0*y**3 - 5*y + 1\/3*y**4 + 0 + 0*y**2. Find the third derivative of c(k) wrt k.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46660944986.48 plus -14?\nAnswer: -46660945000.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/4 (c) 2\/11 (d) 8\/9 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 + 12*q**2 - 29*q + 49. Calculate b(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.360343 milliseconds to seconds.\nAnswer: 0.005360343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207654*q + 207791*q = -5069 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -138 - -12?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {h: 1, l: 4, s: 5, p: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s = -4*f + 7340, -f + 1815 = 5*s. Suppose 8 = 2*n, -5*n + f = -4*c - 10*n. What is the hundreds digit of (-59117)\/c - ((-56)\/30 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - t**2)*(-3*t + 4*t + 4*t)*(-t - t + 0*t).\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 73\/4 of a century?\nAnswer: 21900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*m + 3*b, 0*b + 3*b = -4*m - 16. Let y be (0 - 1)*(-2343)\/(-21). Let q = -113 - y. Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 15 = v. Let m = -0.37 - -0.8. Let b = m - 0.13. What is the third biggest value in v, b, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 1\/6 (c) -206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:26 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -368.\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1548 by -3.\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-3) + (-10)\/(-15). Let v be (-2)\/(n\/975*-5). Let r be 13\/v + (-22)\/(-10). Solve t = w - 1, 4*w + 7*t - r*t = 31 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 32 = 2*o - 114, -4*o = -4*q - 152. Let m = -1 + -6. Let j = m + o. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7)*m**(-1\/4))\/(m**(2\/5)\/m)**(-2\/15))**(16\/3) assuming m is positive.\nAnswer: m**(-124\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 21 - 2*j - 21 - j. Let g(n) = -n. What is q(g(x))?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - 3. Let p = 25 + r. Solve p*o - 10 + 26 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75.29156 equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - 0.7. Let f be ((-2)\/30)\/((-59)\/354). What is the third smallest value in f, -12, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 9:02 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -115 + 298 + 4705*v + 1896*v - 78 - 1756*v wrt v?\nAnswer: 4845","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -408 - -436. Solve h*c = c - 54 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2018 - 1987. What is the biggest value in 3, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8*r = 4*q - 1191, 3*q - 917 = -r. What is the tens digit of (-12)\/(-60) + q\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(78) - sqrt(78)))\/(3*sqrt(6)*-3).\nAnswer: 8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 2. Let c be s(2). Let r = 3 - c. Solve -4 = -w + r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57545?\nAnswer: 5, 17, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1100111100000 (base 2) to base 16\nAnswer: -19e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65*1*13\/(-2470)*-38?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + sqrt(88)\/(sqrt(8)\/sqrt(4)))*-5)\/(sqrt(20)\/(sqrt(35)\/(sqrt(63) + sqrt(7)))).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let b(c) = -c. Let r(m) = -2*m**2 - 1. Let j be r(-1). Let z be (8\/12)\/(2\/j). Let w(s) = z*l(s) + 2*b(s). Let o(u) = -2*u**2. Determine w(o(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2556 + -1066. Suppose -3*p + n + 757 = 4*v, 0 = v + p - 563. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565 - 565 = 16*p + 23*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3047 (base 11) to base 16.\nAnswer: fcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 1\/24 (c) -3\/17 (d) -6\/11 (e) -0.4 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1161, -0.3, 11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 5*b**2 - 4*b - 9. Let d(p) = 4*p - 30. Let c be d(9). Let m be n(c). Solve -m*l + 5*l - 6 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 2*f**2 + 2*f + 3. Let q be o(-3). Let r(p) = p**3 - 5*p**2 - 5*p - 4. Let d be r(q). Suppose 2*s**d - 2*s**2 + 2 - 2*s**2 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1. Let y be -1*(3\/3 + 0). Let s(c) = -6*c - 3. Let o(v) = y*j(v) + s(v). Calculate o(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123335 divided by 197?\nAnswer: 123335\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -53, 107, 0.3, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 41505?\nAnswer: 83010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7161185 to two dps.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, d: 1, k: 1, v: 1, g: 1}. What is prob of sequence ykd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-16 - (-8 + 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 16, 10, 2, -8, -20, -34?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*v, 5*t + 708500 = 3*v. Round t to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5\/5 + 1394*g**4\/5 - 1384*g**3\/5 - 5576*g**2\/5 + 5568*g\/5 = 0.\nAnswer: -2, 0, 1, 2, 696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 565, 897, 1255, 1639?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.05, -0.2, 82, 0.4 in decreasing order.\nAnswer: 82, 0.4, 0.05, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572112509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 2*p**2 + 2*p**2)*(-5*p**3 - 17 - 3*p**2 + 7*p**3 + 8).\nAnswer: 2*p**5 - 3*p**4 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - ((-21)\/(-15) + -3))*5. Let i be 18\/g*10*6\/45. Solve 0 = 3*c + 3*b + 18, 4*c = i*b - b + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 13*k. Let l(y) = 168*y. Let h(g) = 2*l(g) - 27*v(g). Suppose -3*u - 4*w - 22 = 0, -5*u + 2*w + 18 = -10*u. Determine h(u).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*h = -3*s - 22, 4*h = s - 9. Suppose -s*o + 6 = 3*q - 3*o, 4*q - 4 = -4*o. Solve -2*k = -3*d, -q*k + 0*d - d = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 35*d - 199. Calculate the remainder when q(-26) is divided by 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 93 = -4*q - 43, 4*g = -11*q + 102 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2312)\/96 - -35 - (-2)\/24?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*a + 1 + 3 = 0, 3*a = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2665, -4585, -6505, -8425, -10345, -12265?\n\"Answer: -1920*a - 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 343 and 29493457.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 = -250*a + 1039 - 5255 - 1603 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(-3*t**2 + 2 - 2) + (0*t**2 - 3*t**2 + 2*t**2)*(-4 - 7 + 1) as p*t**2 + h + w*t and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**4\/12 + z**2. Let d(t) be the second derivative of 0*t**2 + 1\/4*t**4 + 0 - 3*t + 0*t**3. Determine d(m(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s + s**2)*(0*s + 2*s + 0*s) + 3*s**3 - 4*s**3 + 0*s**3 - 3*s**3 - 2*s**2 + s**2 + 3*s**2 + (-107*s**2 - 54*s**2 - 157*s**2 - 1)*(s + 1 - 1).\nAnswer: -320*s**3 + 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85\/429 - 4\/33. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*l + 91 = 1283 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m - 17445 + 2*m + 16383)*(5 - 2 - 5) to the form u*m + j and give j.\nAnswer: 2124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1 + 0 - 3 + 2 - b. Let u be j(-7). Suppose -6*y + y = -u*v - 20, -4*v - 14 = -2*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + -10 + (217 - (207 - 12))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4, -m - 3*n = 2*n - 393. Suppose -13*p + 0 = -m. Are 30 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 267*f**2 - 12078*f.\nAnswer: 3*f*(f - 33)*(f + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 38*r + 71 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1574 = 129*l + 2812 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 71 + 7 = -p, 297 - 75 = 3*i - 35*p + 32*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -64066.91 to the nearest one hundred.\nAnswer: -64100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 242 + -210. Suppose -3*y + h = -37. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 5 + 51*s - 11*s + 12*s + 428.\nAnswer: 59*s + 423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1121.1 + -1121. Which is bigger: h or 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0468112 and 1.\nAnswer: 1.0468112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 235*g + 140 - 133 - 50*g. Let q(o) = o - 1. Let r(x) = -2*f(x) - 14*q(x). Let m(i) = -i. Determine m(r(w)).\nAnswer: 384*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f - 6. Suppose p - 5 + 15 = 0. Let a be x(p). Suppose a*g = 39*g - 395. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 4\/8*-2. Let b(m) = -15*m - 111. Let z be b(x). Let n(t) = -t**2 - 8*t - 2. What is n(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {a: 9, h: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/52)*p*p**(1\/23))\/(p\/p**18)**12 assuming p is positive.\nAnswer: p**(245209\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1512 and 23352.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1, 5, 1\/4, 33?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7*h**3 + 2 + 11*h**3 - h + 29*h**2 - 30*h**2. Let c be l(1). Solve -2*j = 3 + 1, -3*v - c*j = 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 6*j + 3*j)*(1 + 2*j - 1).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 1044\/15 + 9\/(-15). Suppose -572*l + h = -570*l. What is the biggest value in -0.4, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stssvttenntnssskt. What is prob of picking 4 s?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 2, j: 3, m: 5, o: 1, u: 1}. What is prob of picking 2 m and 1 c?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 215 = -2*a. Let l = 70 - a. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-1 - 1) - 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (59 - -41) + -94 + 92?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**1)**50\/(g**(-9)\/g*g\/(g\/(g*g*g**(1\/3))*g)))**(-13\/6))**19 assuming g is positive.\nAnswer: g**(-21736\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -337?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -19*i**3 - 2*i**2 - 3*i - 2. Let s be c(-1). Let x = s - 15. Solve r = -x*z - 3*r + 29, -4*r = -2*z - 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 70 + -135 + 119.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2346366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -2, -13?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wer. Give prob of picking 1 r and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*s + 1434 = -65*f + 555*s, -2*f - f = -s + 67 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 42. Let d = p + 9. What is the third biggest value in 4, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -8*t + 7*t + 439, 2*t - 908 = 2*y. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2009*s + 0*s**4 - 88*s**2 + 0*s**4 + 96*s**2 + 9*s**5 + 23*s**5 wrt s.\nAnswer: 640*s**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**5\/15 + v**4 - 482*v**3\/9 + 154*v**2 + v - 1931. Factor b(m).\nAnswer: 4*(m - 11)*(m - 1)*(m + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -113?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -15, 0.29, -20\/9, 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 529861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3 + 16)*(3 + 1 - 5)*(-15357*k - 86*k**3 + 15357*k + k**4).\nAnswer: -23*k**4 + 1978*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 97320 rounded to the nearest one thousand?\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192201?\nAnswer: 3, 64067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, -1\/2, 9, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 146?\nAnswer: 3\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + -4*(-4 + sqrt(5) + 1 + 3 - ((sqrt(405)*-2 - sqrt(5)) + -1)).\nAnswer: -80*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8 (b) -0.44 (c) 0.3 (d) -1\/5 (e) -132\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -1\/12*m**4 + 0*m + 4\/3*m**3 + 0 + 1\/12*m**5 + 27*m**2 + 1\/120*m**6. Does 2 divide f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/4 + 2369*x**2\/2 - 35760*x = 0.\nAnswer: -4768, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1317498893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41277407 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2511013 is divided by 2264?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Let w(j) = 2*j - 9. Let s be w(h). Let u(q) = 2*q**3 - 12*q**2 - 12. Let n(x) = -x**2 - 1. Give s*u(r) + 12*n(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31466995 or -31466950?\nAnswer: -31466995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s + 20. Solve 2*v - s = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-58)\/(-10) + 17\/(595\/(-28)). Let m = 1 + 2. Which is the second smallest value? (a) m (b) -0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 g, and 1 v when four letters picked without replacement from vvvvvgmvhgvvhtmtvmv.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -25*t**2 - 23*t + 18. Let f(d) = 13*d**2 + 11*d - 9. Let g(a) = -3*c(a) - 5*f(a). Is g(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 3:32 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/7 + 304*j**3\/7 + 12144*j**2\/7 + 44992*j\/7 + 43808\/7.\nAnswer: 2*(j + 2)**2*(j + 74)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6704\/3177 or -3?\nAnswer: -6704\/3177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 896 = 7*o - 236 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*q + 5*q + 294, 2*q = 4. Let s = p + -148. Solve j - s = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*8\/96*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 6. Let l = 4.96 + 0.04. What is the smallest value in b, -1\/6, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 5:07 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -17*g**8\/3360 + g**5\/15 + 31*g**4\/24 - 7*g**2. Let v(c) be the second derivative of l(c). Differentiate v(w) wrt w.\nAnswer: -102*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1387.78 - 23.3.\nAnswer: 1364.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -895199*c**2*p**2*r + 2*c**2*p**2 - 72481*c*p**2*r - 4*c*p**2 + 2*c wrt c.\nAnswer: -1790398*p**2*r + 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 18 = 3*r, 6*z - 12 = z - 3*r. Let l(d) = 6*d - 1. Give l(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9\/86 + -3567\/430. Let i = 1790 + -7225\/4. What is the common denominator of d and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3332 = -5*b - 2*m, 3*b - 5*m = 5030. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckkckccckc. Give prob of sequence cc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 divided by 2?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d - 265249 = -43*d - 5*w, -2*d + 2*w + 176854 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 22*f**2 - 11*f. Let b(y) = y + 3*y - y**2 - 9*y**2 - y**2 + 2*y. Determine -11*b(w) - 6*n(w).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*c*v**2 + 362*c*v - 767*c wrt v.\nAnswer: -8*c*v + 362*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/609 and 38\/56091?\nAnswer: 1626639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 785, -1, 1 in decreasing order.\nAnswer: 785, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -4, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -909 + 269. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -775*a + 473*a = -399*a. Solve a = -p - 61*m + 58*m + 13, -m = -5*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r - 4*r + 2*r)*(-2*r**2 + 4*r**2 + 0*r**2) + (-3 + 1 + 14 - 5*r)*(24*r**2 + 112*r**2 + 69*r**2) as k*r + u*r**3 + p*r**2 + x and give u.\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*3\/(-3) + 1 + 31. Let k = p - 26. Calculate the smallest common multiple of 7 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 905*m - 918*m + 19136. Calculate the remainder when m is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9763787 to 3 dps.\nAnswer: 2.976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409330 is divided by 61.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 2.7654?\nAnswer: 2.7654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**2 - 16623*i - 13335516 = 0?\nAnswer: -711, 6252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12001 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**11)*z**12\/z)\/(z**(2\/19)*z**(-7)) assuming z is positive.\nAnswer: z**(549\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*k + 7, -3*k - 25 + 52 = -5*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 8036 = -4*a, -11*a = -7*a - m - 8036. What are the prime factors of a?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 5\/12*y**4 + 45\/2*y**2 + 0 - 39*y + 5*y**3. Find z such that p(z) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 - 3*w - 1. Suppose 8 = -3*d + 4*d. Suppose -4*m - d = -0*m. Calculate g(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + q = 24, -8 = -3*s + q - 0. Let i be (-1)\/(-3 + 11\/s). Solve -4*a - 2*n = -n - 14, -i*n - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, a: 2, r: 1, b: 6, z: 4, k: 2}. Give prob of picking 2 a.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 10*i = -14*i - 1013, 3*i = -2*g + 664. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*q = 239 - 232, -q - 5 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.17097 > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*k - 45, 46 - 12 = -3*q + 2*k. Which is bigger: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665192 is divided by 4525.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 110141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77029\/2070 - 667\/18. Calculate the common denominator of 67\/15 and u.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 8:04 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.9. Let u = -396 + 5942\/15. Is u equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2167\/44 + 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 4269730 = -4269793 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**2 + 60*m - 299 wrt m?\nAnswer: -4*m + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4210 + -4215. Let w(x) = -x**3 - 4*x**2 + 3*x - 3. What is w(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.22.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4921392*w**5 - 15829753*w?\nAnswer: 98427840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 1, 11, -3, 8, 4 in increasing order.\nAnswer: -3, 1, 4, 8, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -12?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 128068 (base 9) to base 6\nAnswer: 1401225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 20 (b) 41 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 7*o**2 - 2*o - 3. Let w be s(10). Suppose f + w - 63 = 0. Let i = -137 - f. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4\/12 + 2*d**3\/3 + 3*d**2\/2 - 3*d - 1. Let c(f) be the first derivative of i(f). Is c(3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkd when three letters picked without replacement from {d: 5, k: 2, o: 4, p: 2, s: 1}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*w = -5*z + 1990, 2018 = 3*z + 5*w. Let m = -393 + z. Let q = -171 + m. What is the remainder when q is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4872, 2054, -778, -3624, -6484, -9358?\n\"Answer: -7*o**2 - 2797*o + 7676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*h = 40, 2*m = -0*m - 5*h + 32. Let d be ((-2)\/m)\/((-2)\/(-54))*-1. Suppose -u = d*q - 8*q - 4, -5*u = 0. Put q, 0, -16, -3 in descending order.\nAnswer: q, 0, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-208)\/(-39) + -6)\/(1*2\/(-48681))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7397003946 less than -0.33527?\nAnswer: -7397003946.33527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95041627*k**4 - 39521212*k + 2?\nAnswer: -1140499524*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*w = -130, 55 = 2*f - 0*w + 5*w. Suppose f + 3 = 4*p. What is the greatest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 = 0, 5*d - 3*f = f + 40. What is the remainder when (2 - d*-9)\/1 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -w + k - 13, -3*w + w + 22*k - 45 = 7*k for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/1*40\/(-4). Suppose j + o*p - 69 = 0, 110 = 5*j + 4*p - 214. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -40, -122, -278, -532?\n\"Answer: -4*t**3 - t**2 - t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**3 - 242*u**2 + 132*u + 38. What is c(34)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3 - 21 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9069 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 59\/3)*270. Suppose -6*s + 5*s + 4*o = -1260, 0 = 4*s - 3*o - h. What is s rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3022 - -36427\/12. Let k = 17\/3 + h. Calculate the common denominator of k and 44\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46\/5 or -6.72297?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1467 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 8. Suppose i = 6*w - 23 + 5. What is the least common multiple of (-3)\/((-3)\/2)*2 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 77048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*r = 2*m + 24, r = 2*m + 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1415, -1610, -2161, -3248, -5051, -7750?\nAnswer: -11525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-21)*14)\/2*(-4)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 4293808?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 1, -4, -2\/19, 0.0803.\nAnswer: -10, -4, -1, -2\/19, 0.0803, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -24 + 4*a - 3*a - a + 18 + 4*a. Let y = 0 - -4. Calculate r(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/21 + 96\/28. Let a(c) = -2*c**3 + 9*c**2 + 5*c + 3. Let z be a(5). What is the first derivative of -4*r**z - 2*r**3 + r**v - 10 wrt r?\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*i - 8*i + 3888, -12 = -3*i. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2. Let a(y) = 20*y + 403. Let d be a(-20). Let u(s) = 64*s + 28. Let l(n) = 3 + 0*n + 3*n + 4*n. Let b(m) = d*u(m) - 28*l(m). Determine p(b(v)).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -454362 + -5?\nAnswer: -454400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50545989 take away 67124?\nAnswer: -67124.50545989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -819 greater than or equal to -815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b - 12 = 0. Suppose 3*d - 17 = -v + b*v, d - 34 = -4*v. Solve -d - 1 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4581 + -3209. What is the highest common factor of 294 and k?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20502\/55 or 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49037427, 98074848, 147112269, 196149690, 245187111?\nAnswer: 294224532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -61.29 (b) 0 (c) 5 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*h + 4 + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166191.4 nanograms to micrograms.\nAnswer: 166.1914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -605315 by -1899.\nAnswer: 605315\/1899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6880\/430 - (-1455)\/(-20)) + 7\/4.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8541 * -0.3\nAnswer: -2562.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 11 = -5*v - 4, -3*w - 2*v + 9 = 0. Suppose -4*x + t + 20 = 5*t, -3*x = -w*t + 9. List the prime factors of (x\/2)\/(3\/246).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 211, 419, 627?\n\"Answer: 208*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 27 + w + 2*w + 10*w as h*w + f and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1716 - 1113. Suppose 2*p + 131 = 2*s - 347, 0 = -s - 2*p + 245. Suppose l + s = 4*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 362296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -128ef - -4?\nAnswer: -128eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 2*o - 2. Let d be p(-2). Let k(r) be the third derivative of -r**5\/30 - r**4\/24 - r**3\/3 - 81*r**2. Calculate k(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/343 and 50\/3087.\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/3, -1\/4, -2\/3 in descending order.\nAnswer: 2, 2\/3, -1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.11573 to two decimal places.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l - 9*l - 420. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(704) + sqrt(1331)*3).\nAnswer: -4 + 164*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 0 + 1\/3*o**3 + 2\/3*o - o**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(567) - ((sqrt(7) + -1 - sqrt(7))**2 - sqrt(7))*6 - (-5 + (2 + sqrt(7) + 1*sqrt(7))**2).\nAnswer: -32 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/270798 and -51\/451330.\nAnswer: 1353990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 2898?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.051 and -1.\nAnswer: 2.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n = w - 30*n + 1383, 1398 = -w - 2*n. Is w > -1402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s + 7*s. Suppose 12 = 4*x, c + 2*x + 0*x - 8 = s. Solve -7*k = -c*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 353 - 266. Calculate the remainder when a is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 128, 20, -282, -874, -1852, -3312, -5350, -8062?\n\"Answer: -16*c**3 - c**2 + 7*c + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.099.\nAnswer: 0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*d + 6 = 0, 103*d - 98*d = 3*y - 22 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 12 + 3. Let i be (-17)\/a + (-14)\/35. Suppose -2*b + 0 = -5*h - 1, -h - 14 = -5*b. What is the greatest common divisor of h and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 199, -1, -2918 in increasing order.\nAnswer: -2918, -1, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a factor of 28485579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2311521 is divided by 30019.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, -2\/7393, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 144314+-1061\nAnswer: 143253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0173 - 744.0173. Let d = j - -744.00000895. Round d to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-27))\/(170\/(-60))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.2 + -6. Let q = -4 + w. Let x = q - -0.1. What is the closest to 1\/4 in 0, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27\/(-48) + 1)\/((-3)\/(-420)). Let m = -757\/12 + t. Let x = m + 7\/6. What is the fourth smallest value in 4, -2, -1, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 + 38 = -6*w. Let c = w - -60. Let -12\/7*g**c - 24\/7*g**2 - 6\/7*g**3 - 3\/7 + 27\/7*g**4 + 18\/7*g = 0. Calculate g.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 2.7002\nAnswer: 0.027002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 4.5. Let u = 0.15062 + 0.84938. Which is the third smallest value? (a) 5 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-150)\/9)\/(-5)*(-3)\/(-2). Suppose -3*q - 2*d = -119, n*q - 54 = -3*d + 144. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 16) in base 5?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (46\/368*-24)\/(78\/8)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235 by -235.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -517*u**2 - 33*u + 6. Let r(f) = -517*f**2 - 35*f + 4. Let h(m) = 2*d(m) - 3*r(m). What is the second derivative of h(k) wrt k?\nAnswer: 1034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5251*f**6 + 19742*f**5 - 142167*f**2 + 25*f wrt f?\nAnswer: 630120*f**3 + 1184520*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k - 8. Let o(h) = 2*h + 6. Let f(t) = 4*o(t) + 3*z(t). Let w(r) = 2*r**2 - 83*r. Determine f(w(b)).\nAnswer: 4*b**2 - 166*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106.8 - 106. Let x be 7\/8*(-36)\/(-81). Let t = x + -1\/18. Which is the nearest to t? (a) 0 (b) -0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/14 and -115\/1224.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 6*z**2 - 18*z**2 + 4*z**2.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8927426mg in tonnes?\nAnswer: 0.0000000008927426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27124082 is divided by 9041346.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104.4 - 1.6. Let a = v - -106.00000048. Round a to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4599 or -13?\nAnswer: -4599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 10. Let i(p) = p**2 + 9*p + 5. Let m be i(k). Is m bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -32 + (-39 - -12 - (9 + -23))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027770 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 22\/67, -0.05, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -31*s**6\/120 - 47*s**5\/60 - 17*s**2. What is the third derivative of g(k) wrt k?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -3 (b) 3 (c) -23707\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 2 + -1 + -2*((2 + sqrt(176) - sqrt(176)) + sqrt(176) + sqrt(176)) + -2)**2*3.\nAnswer: 360*sqrt(11) + 4827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/((-3)\/102). Suppose 5*w + 0*w - 135 = 0. Let f = c + w. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -r, -3*r + 7 - 1 = 0. Let x = 2 - f. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**1)\/(r\/(r\/r**(2\/11))))**23 assuming r is positive.\nAnswer: r**(713\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*g*m - 3*b**2*g + 6*b**2*m**2 - 2*b*g*m**2 - 34*b*g*m - b - 4*m**2 wrt b.\nAnswer: 4*g*m - 6*g + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 8:25 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3430191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1974926047 and 480.1?\nAnswer: 1974925566.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -283 + 283.91. Let s = j - -0.09. Which is smaller: s or 23?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -4*m**6\/15 + 8*m**2 + 22*m. Differentiate j(h) with respect to h.\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, b: 6}. Give prob of sequence kbbb.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6249*j + 8. Let g be 1*(1\/(-1) - -7). Let v be (16\/g)\/((-3)\/(-9)). Let r be z(v). Round r to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 458036*k**3 - 836287?\nAnswer: 1374108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(704)*1*-5)**2.\nAnswer: 320*sqrt(11) + 17616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3)*i)\/(i**(-5)\/i))\/(i**7*i\/(i\/(((i*i**(-1))\/i)\/i))) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11427 + -16536. Let d(y) = 13549*y**2 + 8*y - 2. Let s be d(3). Let x = s + m. What is x rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(128)*4)**2 + -3*sqrt(12)\/(sqrt(18)\/sqrt(3)).\nAnswer: -3*sqrt(2) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzcz. What is prob of sequence cb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayeebaaqyyyyybbccccb. Give prob of sequence bc.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 113514204 (base 6) to base 7\nAnswer: 24123631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 0*i**4 - 4*i**2 + 0*i + 1\/20*i**5 + 0*i**3 + 0. Let m(o) = o. What is s(m(a))?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - k - 2*k**2 + 2*k**2 - 2*k**2 - 2*k**2 + (-2 + 13 + 14)*(-22 + 7*k**2 + 22) to i*k**2 + b + u*k and give i.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4841 a factor of 313396658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 113?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q + 26. Let d(z) = -8*z + 49. What is -3*d(l) + 5*t(l)?\nAnswer: 4*l - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 4, 2, 603\/26, -0.5, 1, -2\/7, 3\/2?\nAnswer: 603\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 - 1.8. Let t = s - -0.3. Sort t, 5, 1 in ascending order.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-nine halves of a decade?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -23 + 12 - (2 + 7 + -7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4*s**(2\/13)*s)**(-1\/20)\/(s**(-4)\/(s*(s\/s**(-6)*s)\/s*s)*(s**(2\/7)\/s*s)**(-4\/11)) assuming s is positive.\nAnswer: s**(257181\/20020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v - 40. Let n(w) = -6956*w. Determine q(n(a)).\nAnswer: 27824*a - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -3, 912, -4 in decreasing order.\nAnswer: 912, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 + -0.6. Let m = -0.1 + g. Let v be (5 - 3)\/(-1 - 5). Which is the smallest value? (a) 0.2 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 7:52 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.238 - 7.238. Which is the closest to -1? (a) -2 (b) -1 (c) -0.09 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/((3\/8)\/(50\/(1200\/72))*2).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-153115)\/(-50) - (-2)\/(-4). Let p = n + -7332991\/2395. Let j = p + 23407\/7664. What is the common denominator of j and 115\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 33 - 54)*(7 - 7 + 2*l**3 + l**4) + 0 + 0 - l**4.\nAnswer: -70*l**4 - 138*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (207\/92)\/(3\/(-12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -19*o**4\/24 - 32*o**2 + 11. Let l(p) be the second derivative of z(p). Let t(k) = -4*k. Determine l(t(g)).\nAnswer: 76*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -28. Let v(b) = -3 - b - 3 + 6 - 2. Let j be v(-5). What is the third biggest value in 2\/11, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 280 * 372.\nAnswer: 104160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9052*j - 136022. What is a(15)?\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 220.9, -2\/5, 3?\nAnswer: 220.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1780300a - 7?\nAnswer: 17803003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -80964 rounded to the nearest 1000?\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 27 (b) -5 (c) -2\/21 (d) 5 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -40*c + 2. Let h be m(5). What is the common denominator of -71\/20 and ((-45)\/h)\/(1\/(-13))?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44916, -50019, -58520, -70425, -85740, -104471, -126624, -152205?\nAnswer: -181220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + sqrt(2)*1.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 11.3. Let p = q - 4.8. Let m = p + -4.806. What is m rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84757 = 66*a - 35693. Calculate the highest common factor of a and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/53306 and -29\/31746.\nAnswer: 76920558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 14*l**2 + 17*l + 34. Calculate the remainder when j(-16) is divided by 163.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -1225?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 2*j + 22 = 0. Let d(a) = 12 - j*a**2 + 0*a**2 + 0 + 4*a**2 + 11*a. List the prime factors of d(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/(-462)*3 - (-39)\/91. Let m = -37 - -56. Let k = m - 20. Do k and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50532400?\nAnswer: 2, 5, 19, 61, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**5 - 74*h**4\/3 - 52*h**3 - 48*h**2 - 56*h\/3 - 2 = 0?\nAnswer: -3, -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u**2 + 126*u + 42. Let h be j(21). Solve 0 = -p + 3*w - 17, 0 = -p + 5*w + 15 - h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**4 - 10*b**4 + 8*b**4)*(b + 3*b - 2*b) - 2 + 350*b**5 - 792*b**5 + 370*b**5.\nAnswer: -68*b**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxh when three letters picked without replacement from xxxhxxxhhxx?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5688 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -50*t + 55*t. Find the second derivative of 3*f - f - 3*f - 23*f**t - 6*f**4 wrt f.\nAnswer: -348*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27865698?\nAnswer: 2, 3, 7, 101, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 4 - (12 + (14 - -2))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -20. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15078000 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15610\/28*(-8)\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1894*n + 1960*n - 3460*n)*(-25 + 25 + 6*n**2) as i + f*n + g*n**2 + w*n**3 and give w.\nAnswer: 2364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w - 8*w - 370. Calculate the greatest common divisor of w and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*x + 156, -85*c + 87*c - 102 = -4*x. Let d(f) = 12*f + 7. What is the remainder when d(8) is divided by c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**4\/6 + 12*x. Let m(p) = 0*p + 3*p + 2*p. Determine m(g(j)).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + (5 + sqrt(1088)*-2 + sqrt(1088) + sqrt(1088) + 2 + sqrt(1088)*-2 + sqrt(1088) - (-3 + sqrt(1088)*1 - sqrt(1088))*-3)) + 1)**2.\nAnswer: 192*sqrt(17) + 17417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*2*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 992017.6m?\nAnswer: 992017600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -613181, -1226348, -1839517, -2452688, -3065861, -3679036, -4292213?\n\"Answer: -m**2 - 613164*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56640 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 3*q - 2. Let f be o(-4). Suppose s - 36 = -f*s. Calculate the smallest common multiple of s and 185\/10 - (-20)\/(-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwiqqwwwwwtwt. What is prob of sequence qw?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*n + 1. Let g(k) = -k**2 + 19*k. Let p = -164 + 183. Let l be g(p). Which is the closest to l? (a) 0.1 (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -15*r**2 - 74*r - 42. Let d be n(-4). Solve -d = -49*t + 47*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/8)\/((-1)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-1 - 3) + 3. Suppose -2 = w*a - 24. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -11. Let t = -57 + 217. Suppose 23*k = -9*k - t. Sort 2, k, 1, i in decreasing order.\nAnswer: 2, 1, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 1\/210*h**6 + 0*h + 1\/35*h**5 - 1\/42*h**4 + 0 - 2\/7*h**3 - 53*h**2. Factor c(x).\nAnswer: 4*(x - 1)*(x + 1)*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, a: 2}. What is prob of sequence aba?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26798804.\nAnswer: 2, 37, 43, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6934005 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -4079758 and -1\/16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 0*x**2 - x**2 + (-x + x - 9*x)*(x + 5*x - 5*x) - 21*x - x**2 + 2*x**2 + 12*x.\nAnswer: -9*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.9 - 8.686. Let l = g + -0.214000148. What is l rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170.157 + 516138727.\nAnswer: 516138897.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -8\/3, -5, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74958? (a) 3 (b) -0.2 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 459 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*m**2 - 4*m*z**3 - 2*m*z**2 - 4*z**3 - 65*z with respect to m.\nAnswer: 112*m - 4*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 5*j**4\/4 - j**3\/3 + j**2\/2 - 3. Is o(2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1079971107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 16 = 3*n + 7, n = -3*z + 11. What is the second derivative of 45*s**n + 9*s**2 + 32*s + 29*s + 11*s wrt s?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-2)*-1 + 0. Let p = 13 + -19. Sort t, 0, p in descending order.\nAnswer: t, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 51 = 6*g. Solve 0 = 3*s - h - 11, 0 = 4*s - 9*s - 2*h + g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739 is divided by 93?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-3 + -123)*1. Let c = -82 + d. Let i = c - 84. Round i to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/20 and -119\/1730?\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:32 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 12 = 6*f. Suppose f = 2*l - 21. What is the greatest common divisor of l and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1856*u**3 - 319*u - 319. Let f(x) = -35*x**3 + 6*x + 6. What is 319*f(q) + 6*r(q)?\nAnswer: -29*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*m - g, 229*g - 234*g + 19 = -3*m. Sort -4, -41, m.\nAnswer: -41, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3324 - 624. What is the units digit of j\/(-66) - 4\/(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from jsjjsjssjjj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7072 and 49368?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 12:47 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -201203130 (base 5) to base 3\nAnswer: -1111211020202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*u - 4784 = 22*u - 61*u for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, r: 5, f: 1, s: 1, m: 2, a: 2}. What is prob of sequence rfss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a gram in milligrams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44381345\/56268 + 10\/14067. Let d = 779 - f. Find the common denominator of -39\/10 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-10)*(-168)\/1323*((-5)\/6)\/5.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2175 - 1?\nAnswer: 2174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/5 + 731322*c**2\/5 - 2193939*c\/5.\nAnswer: -3*c*(c - 243771)*(c - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3\/7 + 30*j**2\/7 + 1026*j\/7 - 16606\/7 = 0.\nAnswer: -23, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -204, -460, -818, -1278, -1840?\nAnswer: -2504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 5*z - 9, 15 = 73*h - 67*h + z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19402474, 19402473, 19402472, 19402471, 19402470, 19402469?\n\"Answer: -i + 19402475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2))**47*a**(-2)*a*a\/(a\/a**(1\/5))*(a*a**(-2\/9))\/(a*a\/(a\/(a*a\/(a**(-3)*a))))*((a*a\/(a*a**4))\/a*a)\/(a*a\/a**(-4\/5)) assuming a is positive.\nAnswer: a**(1141\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3741877, -3741891, -3741905, -3741919?\n\"Answer: -14*f - 3741863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4579 + 4575. Which is the closest to 0? (a) 33 (b) 5 (c) y (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.241 - 0.059. Let s = 1953 - 1952.96. Which is the smallest value? (a) m (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-425)\/275 + 30\/(0 - -6). Factor 68\/11 - l*u + 2\/11*u**2.\nAnswer: 2*(u - 17)*(u - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 3733453?\nAnswer: 5\/3733453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 times -0.6?\nAnswer: -187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 115435.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9594 + 2.11966. Let l = 0.04 + -0.2. Let t = b + l. Round t to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 547873602, 1095747205, 1643620808, 2191494411, 2739368014, 3287241617?\nAnswer: 3835115220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 5 - 28*k**3 - 4.\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -333581, -333575, -333553, -333515, -333461, -333391?\n\"Answer: 8*r**2 - 18*r - 333571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = o + 1 - 11, 0 = -2*j - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 times -38\nAnswer: 9.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + -23 - 17) + -1 + -13.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909184573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f - b = -253, 2611*f - 2606*f - 2*b = -74 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1288 - -1287. Put -230, 5, -5, k in increasing order.\nAnswer: -230, -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-4 + -1 - (108 - 129)) + -22?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34417 divided by 1.\nAnswer: 34417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -480962600 to the nearest one hundred thousand.\nAnswer: -481000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 230 = -7*i + 2*r + 226, -r = -6*i + i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 787309?\nAnswer: 5\/787309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -24. Calculate the least common multiple of 12 and -44*(-4 - x\/(-4)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5463838 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5\/5 + 386212*b**4\/5 - 9290536312*b**3\/5 - 1543600130504*b**2\/5 + 3115070325116*b\/5 - 1562180044508\/5 = 0. What is b?\nAnswer: -167, 1, 48359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m*m**8\/m)\/m)**(-37)*(m**(-4\/23)*m)**(-26) assuming m is positive.\nAnswer: m**(-8153\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 21669 in increasing order.\nAnswer: 0, 5, 21669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -7 - 6 - (4 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -44. What are the prime factors of l\/(-4) + 57 + -3?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-53 + 42)\/((-1)\/10). What is the greatest common divisor of 7205 and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t - 6. Let n be (-1 - t)\/((-3)\/(-366)). Round n to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 4, m: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.6 and 177620739237.\nAnswer: 177620739240.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**4\/4 - 30*c**3 - 5823*c**2\/2 + 521612*c - 71572683\/4 = 0.\nAnswer: -129, 67, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 7*w - 112. Suppose 6*p = 10*p - w. Find the first derivative of p*u - 12 + 0*u + 21 wrt u.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3*sqrt(165) - sqrt(165))\/sqrt(3))\/(sqrt(5) - (sqrt(35) + sqrt(140)\/sqrt(4))\/sqrt(7)).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + -93 - (-14 - 60).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -85 and 0.136.\nAnswer: -11.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-3))\/((65\/(-13))\/(60\/(-8))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 1600?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/10)*a*a*a**11)\/(a**(-2\/19)*a**(-8)))**12 assuming a is positive.\nAnswer: a**(23946\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + -10 - -22 - (-83 - -39)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/8 - 46\/(4416\/(-96840)) is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3259 - -3351. Calculate the remainder when 449 is divided by h.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 807 - 799. Solve 3*k = 0, -p - b*k = -11*k - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-5))\/(2\/845). Let m = s - -282. Is m >= -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -386\/5 or -0.2?\nAnswer: -386\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 30 + 15. Solve s = 5*b - 0*s + 11, -5 = -t*s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.5 <= 129218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 232 + -369. Let p = 133 + u. Let g = 67\/423 - -3\/47. Is p > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -l, l + 0*l = 3*q - 36. Suppose 5*r + q = -9. Let n = -31\/3 + 53\/6. What is the third smallest value in r, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281670 is divided by 157.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/45 and -143\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 4*l**2 - 2*l**2)*(-1 - 2 + 0) + 10 + 3*l**2 - 10.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3*y + 20 = 0, y + 3*y = 5*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1001*h**2 + 5*h + 35. Let p(x) = -33034*x**2 - 166*x - 1162. Determine 5*p(i) + 166*s(i).\nAnswer: 996*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377548 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(78) + 2*sqrt(78)*-1 - ((sqrt(78) + (sqrt(78)*-1 - sqrt(78) - sqrt(78)) - sqrt(78))*6 + sqrt(78))))\/(-5*sqrt(54)\/(sqrt(9)*-2)*6).\nAnswer: -16*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 249703*j - 749121. Give g(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 + 5*z - 5. Let x(h) = -3*h**2 - 2*h + 2. Suppose -9*k + 24 + 21 = 0. Give k*x(u) + 2*m(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 4 = -174. Which is smaller: y or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2 - 2*f + 2. Let g be r(2). Let n be (3\/(-2))\/(g\/(-48)). Solve -4*s + 32 = 4*x, s - n*x = -3*s - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q + 281. What is h(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*((-1806)\/(-189) - 10). Suppose 0 = -2*c + g + 8, 5*c - 3*g + 8*g = 20. Sort d, c, 2, 0.04 in increasing order.\nAnswer: 0.04, d, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/((-80256)\/88)*-1032.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15252 and 7068.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 10. Suppose -2*w + 17 = -w - 5*l, 20 = -4*w - 2*l. Let m be 84\/(-9)*1*w. What is the highest common divisor of u and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -26, 61, 5, -3, -4, 97 in decreasing order.\nAnswer: 97, 61, 5, 1, -3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by -486\nAnswer: -8\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**9)**(6\/5)*(d**4)**(-44))**48 assuming d is positive.\nAnswer: d**(-39648\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*c = -3464*c - 11514 + 110384 + 25735 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106946198 to the power of 1\/3, to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-91)\/195)\/(10\/50)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w - w)*(-14*w + 105*w + 50*w) + (4*w - w - 4*w)*(2 - 2 - 2*w).\nAnswer: -280*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8413.544 micrograms to nanograms.\nAnswer: 8413544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 7886?\nAnswer: 23658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12530677 and -0.1271855?\nAnswer: 12530676.8728145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2806, -5641, -8478, -11317, -14158, -17001?\nAnswer: -19846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10483468 or -10483470?\nAnswer: -10483470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 148 (b) -4 (c) 1 (d) 1\/4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -57332066 and -64272.\nAnswer: -57396338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -31, 2 in increasing order.\nAnswer: -34, -31, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -39. Suppose -r - 4 = -5*l + g, 5*r + 10 = 0. What is the second derivative of -l*c**2 - 14*c + 13*c - 23*c wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 242. Let y(d) = 2*d**2. Determine y(f(s)).\nAnswer: 8*s**2 - 1936*s + 117128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**4\/8 - t**2 + t. Let w(v) be the first derivative of l(v). Let a(j) = j. What is a(w(r))?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 5*s + 6. Let p(i) = -3056 - 3064 + 9182 - 3061. Give -o(w) + 6*p(w).\nAnswer: -2*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 7\/4 (b) 3 (c) 5 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 10 - -2 - (24 + -24) - (91 + -77)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + -0.39. Let z = 130 - 101.95. Let p = z - 28. Which is the third smallest value? (a) p (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 9*s**4\/4 + 25*s**3 - 53*s**2\/2 + 9*s - 28. Factor u(l).\nAnswer: (l + 9)*(3*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipigipiiiiiigiippg. Give prob of sequence gp.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 41?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4551\/5 - -914. Is z less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**3\/3 + 3*w**2 + 3*w + 2. Let n be i(-6). Solve 5 = p - 3*v - 0*v, 5*v - n = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -18 - (-5 + -4 + 9 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**5\/4 + r**3\/2 - 15*r + 14. Let f(t) be the first derivative of c(t). Find the second derivative of f(b) wrt b.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b. Let p(d) be the second derivative of -10*d**3\/3 + 2*d - 14. Give m(p(g)).\nAnswer: 120*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o**3 + 5*o**2 + 2. Let f(j) = -3*j**3 + 2*j**2 + 1. Let r(t) = -5*f(t) + 2*h(t). What is the derivative of r(s) wrt s?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 2025?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 - 1 = 0, 3*n + 52 = 5*p. Let y be 2\/(-6) - 84\/(-9). Let x be (-26)\/(1 - p\/y). What is the greatest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2, 4*h - 222 = 4*f + h. What is the common denominator of 5\/3 and f\/21*(-14)\/20?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 2, -20, -4 in descending order.\nAnswer: 2, 0, -2, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*v - 3*m, 3*m + 71 = 5*v + 5*m. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1 + 7 + -3. Solve -v*m = 3 + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -643\/3265 - 2\/653. Which is the closest to t? (a) 0 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + m**3 + 2)*(m + 0*m + 3*m + (-3 + 4 + 0)*(3 - 2*m - 3)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7539917.\nAnswer: 7, 11, 181, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 55 = 2*h, 0*h - 5*b + 34 = -h. Suppose -100 + 30 = 5*l. Let j = l - h. Calculate the highest common factor of j and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 2, -1 in descending order.\nAnswer: 2, -1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*h**2 - 5*h**5 + 20*h**4 + 7*h - 13 + 78*h - 17 = 0 for h.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sljswsmswsbsjsmsjsls. Give prob of picking 2 l.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1482 and 663?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33264659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3572 and 4332?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from osf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/7 and (40\/(-70))\/(4\/22).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**1)**(-13\/2)\/(l\/l**(2\/11)*l\/(l\/l**(-14)*l*l)))**(-35) assuming l is positive.\nAnswer: l**(-840\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + r + 12 = 0, -237 = -2*s + 5*r - 258 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 827534538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 382 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*(sqrt(119)\/sqrt(7) + -5 + sqrt(17)) - sqrt(119)\/(-2*sqrt(343))) + -3)**2 + -3.\nAnswer: -80817\/98 + 1392*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152665 is divided by 152373.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1616 and 51792.\nAnswer: 5230992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 170791674 divided by 216466\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1829*s + 1184*s + 54234 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14226 (base 8) to base 10\nAnswer: 6294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*k + 59*k = -i + 33, -12*i - k - 104 = 6*i - i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 117*w - 5401. Give s(46).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1639.9797 months to millennia.\nAnswer: 0.136664975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-852)\/(-90)*-1 + 7 and ((-2)\/(-18))\/(32\/(-492)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {l: 1, n: 1, i: 1, u: 1, t: 2, e: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -103, -769, -2585, -6127, -11971, -20693, -32869, -49075?\n\"Answer: -96*w**3 + w**2 + 3*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 607976 and 8.\nAnswer: 607976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbu when three letters picked without replacement from {w: 8, u: 1, b: 2, l: 4}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*z + 10, -z - 2 = -2*k - 0*z. Let u(a) = a**3 + a**2 + a + 74. Let x be u(k). Let i = x + -70. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c**2 - c - 4. Let v(r) = r**2 - 4. Let l be v(-2). Suppose l = 2*d + w - 5, -w = -2*d + 5 + 6. What is the smallest common multiple of d and i(3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1315*b + 10232. Give q(-6).\nAnswer: 2342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i = 139 + 18 - 58. Factor -5\/4*n**i - n**4 - 1\/2*n**2 + 0 + 0*n - 1\/4*n**5.\nAnswer: -n**2*(n + 1)**2*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + 1\/(1 + 144\/(-146))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14048 is divided by 1404.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -148797363 from -0.5.\nAnswer: 148797362.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4.5 (b) 3 (c) -1\/54 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 38. Let r be j(-19). Solve 0 = -h - r*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g**2 - 7*g + 7. Let d(q) = -5*q**2 + 3*q - 3. Let w(s) = 3*c(s) + 7*d(s). Let h(b) = 4*b**2. Calculate w(h(j)).\nAnswer: -80*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-134400)\/98)\/50)\/(11\/(99\/18)).\nAnswer: -96\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 742687 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304 - -3320?\nAnswer: 4124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -22*w + 0 - 1\/3*w**3 + 0*w**2. Let b(f) = 11*f - 3. Let u(r) = 11*r - 4. Let z(v) = -4*b(v) + 3*u(v). Give q(z(c)).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44053.\nAnswer: 44053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*x - 14 = -193*x. What is the lowest common multiple of 24 + (-1)\/1 - 2 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*-10*1. Suppose 0 = 2*h - 0*h - o, -p*h + 14 = o. Suppose -h*a = -21 - 41. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c. Let p(r) = -8*r. Let b(o) = 5*p(o) - 6*u(o). Let y(k) be the third derivative of -k**5\/60 + k**2. Determine y(b(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59022 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/60 + 7*y**4\/24 + y**3\/6 - 16*y**2. What is w(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -3\/4, -0.051, -0.9, 0.001?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -308, -449, -580?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 243 + -242. Let z = -10 - -5. What is the biggest value in z, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**5 + 4*k**3 - 5*k - 3*k - 4*k**4 + 17*k**2 - 5*k**2 - 8*k**4 = 0. Calculate k.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20680?\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 10 - -16) + -23\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(3*i - 3*i + 5*i) - 619*i - 355*i - 963*i to a*i + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.304 - 0.204. Let c be 3\/(-6) + (-1)\/2. What is the nearest to -7 in c, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -161 - -155 - (1 + -5 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -733 - -730. Which is smaller: i or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114026539?\nAnswer: 11, 251, 41299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203302 - 1303?\nAnswer: -211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 14*i + 36. Let w be z(-16). Suppose 55 = -4*h + x, -w*x = -2*h - 20 - 4. What is the hundreds digit of (-6)\/h + 5271\/49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.790681 milliseconds?\nAnswer: 7790681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 329 and 540829?\nAnswer: 3785803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 10*f - 23. Let l be r(-5). Suppose -t - 9 = -o + 106, 260 = -l*t - 4*o. What is t rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 144*j + 37. Let a(k) = 432*k + 112. Let u(b) = -4*a(b) + 11*d(b). Is u(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242068 and 8290?\nAnswer: 1210340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3.62, 3, -0.2, -0.3 in decreasing order.\nAnswer: 3, 0.1, -0.2, -0.3, -3.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 111 in 0.46, -0.5, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 10\/2531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -347*i**4\/4 - i**3\/3 - 2*i**2 - 3903*i + 3389. Differentiate o(t) wrt t.\nAnswer: -1041*t**2 - 2*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5 + 5539*d**4 + 438238*d**3 + 8283482*d**2 - 17903839*d + 9176579 = 0. What is d?\nAnswer: -5459, -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8294*t**2 + 4149*t**2 + 4154*t**2 + 2*t**3.\nAnswer: 2*t**3 + 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208626.\nAnswer: 2, 604313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563103 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 276 - 120?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**2 + 27*p + 5. Let j be k(15). Find the common denominator of 23\/24 and j\/(-90)*2\/(-3).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-495)\/105)\/((-8)\/(-14)) - -3 and (-53)\/(-10) - (-2)\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1081*g + 2119*g - 1039*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 + 7*k**2\/3 + 1265*k\/3 - 6877.\nAnswer: -(k - 23)**2*(k + 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 48*s - 37*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgv when three letters picked without replacement from {x: 1, c: 5, v: 1, g: 1, p: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 7:59 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, f: 4, z: 3, g: 2, y: 2, o: 2}. What is prob of sequence ym?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131241142 - -1214?\nAnswer: -131234423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3.14. Let p = -0.14 - d. Let a = p + 0.1. Do -2 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (204\/153)\/(1*2\/3). Suppose -x*u + 4*g + 280 = 0, -u + 2*g = 3*g - 134. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3753 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(200)\/(sqrt(10)*-2))**2*6.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(18) + sqrt(2) + 0 + (sqrt(2) - 2*sqrt(2)))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:50 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/1552998 and 13\/7257.\nAnswer: 1552998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2189*z**4 + 47498*z**3 + 1225317*z**2 + 74 wrt z?\nAnswer: -52536*z + 284988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 4268, 2\/5, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 158 = -h, 5*t = -h + 84 + 44. Let c be (-1 + 0)\/(6\/(-78)). Calculate the greatest common divisor of h and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 8. Let c be n(-10). Suppose 87 = 5*d - c*s - 0*s, -4*d + 70 = -2*s. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, -14, -110, -252, -440?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 16*t = 450. Let n = 75 - t. Suppose n = -3*d - 3*x + 333, -x - 4 = -0*x. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 40337*o - 3382. Is n(27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 14*g**2 + 42*g + 236. Is 4 a factor of r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -7*y**3 - 2127597*y**2 + 13981630*y - 7294776 = 0.\nAnswer: -303949, 4\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*2 - (1 + sqrt(35)\/sqrt(7)).\nAnswer: -1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*v - 12, 0*v - 2*v = -3*u - 6. Calculate the remainder when (u - 4)\/((-8)\/64) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*r - 31 - 455 = -12*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32507798 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 6, -5, -4, -2 in ascending order.\nAnswer: -5, -4, -2, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10660 is divided by 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 43?\nAnswer: -3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14\/3 - 9\/2. Let w = -5.9 - -6. Let o = 0.5 + -1. Which is the second biggest value? (a) w (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.88188 litres in millilitres?\nAnswer: 881.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(3\/194*(-16)\/(-48)) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**5\/20 - l**4\/2 + l**3\/3 + 4*l**2 + 1326*l. Give c(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - (sqrt(84) + 1*sqrt(84)*-2)) + -5*(-1*sqrt(84) + sqrt(84) - sqrt(84)) + sqrt(84))\/(sqrt(300)*2*-3 + sqrt(300)))**2.\nAnswer: 448\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28176 and 179035?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 6:23 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1368 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21421 or 2.846?\nAnswer: 2.846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1104 + 135?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 136284264 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 1612860*x.\nAnswer: 5*x*(x - 322572)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i - 20. Let r(o) = -4*o + 24. Let j be r(7). Let z be b(j). Suppose 0*a + 5*a + 10 = 0. Sort 5, z, a.\nAnswer: a, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glnzlgk. What is prob of picking 1 k, 2 l, and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2*l + 5*l - 34 = 11*l - 6*l, 105*w - l - 518 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -50, -178, -528, -1214, -2350, -4050?\n\"Answer: -19*r**3 + 3*r**2 - 4*r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j**2 + 8*j**3 + 18*j**2 - 564 + 564.\nAnswer: 8*j**3 + 38*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, -17910, 0.4, -2\/11, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-928)\/(-12))\/((-880)\/330).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10953137*d**3 + 2379461 with respect to d.\nAnswer: -32859411*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 332 + 368 + 191 - 76 + x - 2*x**3 - 168 to the form g*x**3 + q + t*x**2 + p*x and give q.\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 5*y + 3. Let a be m(-3). Solve -a*x + x = -10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9653 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12490710 is divided by 3122677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + t - 2*t)*(-2*t - t**2 + 2*t) - 2209*t**3 - 1396*t**3 + 1764*t**3 + 2 - 2197*t**3 to o + y*t**2 + s*t + b*t**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 9*f = 4*f. Suppose a + 4*a - 5 = -3*w, f = -5*a - 4*w + 10. Let q be a*((-5)\/(-2) + -5). Calculate the greatest common factor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -33. Is (340\/o)\/(2\/24) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 540, 1301, 2064, 2829, 3596, 4365?\nAnswer: 5136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1336*c**3 + 140*c**3 + 1198*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1314150 + 4?\nAnswer: -1314142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-95)\/30)\/19 + 1226\/12. Let p be 0 - (-546)\/z - 7. Is p less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523 = -5*d - m, 4*d - 88 - 340 = -4*m. Suppose d = 4*w - 0*w. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147130 - -147132.00013. Let i = d - 2. What is i rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 329 and 10272.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -51 (b) -5 (c) 7\/3 (d) 31 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 2*s. Let d(f) = -15*f**2 - 33*f. Suppose -5*w = -3*p - 0*p - 79, -2*w = 8. What is p*l(k) + 2*d(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, u: 1, c: 4, n: 1, z: 3}. Give prob of picking 1 z, 1 n, and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.089986162 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*v + 7. Let l(d) = 4*d**2 + d + 4*d - 6*d. What are the prime factors of l(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/6540 and -19\/654?\nAnswer: 6540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.37 + 0.07. Let p = 1.4426 + -1.5426. Put p, 2\/7, -2\/23, x in ascending order.\nAnswer: x, p, -2\/23, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = -4*v, -2*y = 2*v - 102. Suppose 5*t - 4*j = y, -3*t + 0*t + 4*j = -35. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 1, k: 2, w: 1}. What is prob of sequence mjk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 6:49 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323789101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217284717 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2*4\/8)\/((-12)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 2444165?\nAnswer: 2444156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 77776132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 0, 0*w = 2*r + 3*w. Solve -2*y = 3*b - b, r = 2*y - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2)*-5)\/(55\/(-110)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 1\/112*w**8 - 26*w**2 + 0*w**4 + 0 + 1\/15*w**5 + 0*w + 0*w**3 - 1\/15*w**6 + 1\/210*w**7. Factor d(n).\nAnswer: n**2*(n - 1)*(n + 2)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 9*u + 238 = a + 206, 0 = 2*u + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/30*(-1 + (-69)\/2392*-24)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 167?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 90?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1057860126?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/285*10\/(-3)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21022 (base 3) to base 16.\nAnswer: c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 5*j - 13. Is -14 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s**2 - 8*s**2 + 14*s**2)*(3*s - 9 + 11 - 6*s).\nAnswer: 6*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*q + 211 = -92, 3*q - 273 = -4*r. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*c - 13 = 0. Let d be -4 + 16\/(-10)*(-40)\/16. Suppose -16*j + c*j + 162 = d. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3)*10\/(-2)*-6. Suppose o*f - 7*f = 13. Are -2\/177 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x**3 + 103*x**2 + 30*x**3 - 103*x**2.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 6. Let p(m) = 6*m + 31. Determine -11*i(l) - 2*p(l).\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rppralmo. Give prob of picking 1 o and 2 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(2\/33)*y*y)\/y)\/(y\/(y**(13\/4)*y)))\/((y*(y**3*y)\/y)\/y*y\/(y\/(y\/(y\/y**(-26))*y))))**(-1\/45) assuming y is positive.\nAnswer: y**(-3589\/5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-6)\/(-8)*2. Let n(r) = r**2 + 6*r - 1. Let d be n(-6). Let p = 2 - d. Calculate the greatest common divisor of l and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + p + 1. Let s(h) = -3*h**2 + 2*h + 20. Calculate 2*q(v) - s(v).\nAnswer: v**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 86 + 54. Let f = -20 + 29. Suppose 0 = -3*t, -o + 3*t - t = -f. Calculate the remainder when g is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 218641674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 1, j: 1, o: 1, t: 2}. Give prob of sequence yj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (885\/(-59) + 14)\/(6\/54).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 8*d + 3. Let q be i(8). Let r be 50\/(1 + q\/(-9)). Suppose 5*c - 120 = 2*z, z + 18 = 4*c - r. What is the common denominator of 46\/3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:56 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32343 - -58386. Suppose -9*l + b = -23196. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 565083?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2173 + -2)\/((-5)\/1200). Round u to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2310 and 42.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9426*m**3\/7 + 56560*m**2 - 755256*m\/7 + 320 = 0. Calculate m.\nAnswer: 14\/4713, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -334864 equal to -334862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1269563836 to the nearest integer?\nAnswer: 35631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/5 - 82*j**3\/5 + 132*j**2 - 120*j - 1600.\nAnswer: (j - 10)**3*(3*j + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 7. Let n be a(9). Let k(t) be the first derivative of 2*t**2 - 4 - t**2 - 4*t**2 - n*t. Differentiate k(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -130*s**2 - 120*s + 730\/3*s**3 - 10\/3*s**6 - 555\/4*s**4 + 21 + 35*s**5. Find z such that r(z) = 0.\nAnswer: -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(45)*2).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -462 + -2105?\nAnswer: -2567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-15) - (-6)\/10. Let u = z - -3. Let l(s) = 2*s - 5. Calculate the remainder when l(5) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31\/(-2)*(-10 - -8). Solve -k + 11 = 8*m - 3*m, 0 = 5*m - 4*k - a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47557 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/7 or -6035281?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136857 is divided by 342?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 9. Let k be 4\/(-12)*(0 + -18). Let f be a(k). What is the third derivative of 4*h**2 + 4*h**2 + 7*h**3 + 5*h**2 + 2*h**f wrt h?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/34 (b) 2\/3 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14425607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 12:55 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*v - 3\/7*v**2 = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/10 and -6\/1249.\nAnswer: 12490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 2 + 2)*(3938*n + 37 - 452 - 3953*n) in the form u*n**2 + p + w*n and give w.\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**6\/120 + 7*k**5\/60 - 23*k**4\/12 + k**3\/2 + 262*k**2. Let o be u(-11). Solve 6*g = g + o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 440\/77 - (11 + 40\/(-8)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*k + 52544, 492*y - 489*y - 3*k = 157716. What is the ten thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-7)\/w**(-6))\/((w\/(w**(-1\/4)*w)*w)\/(w\/w**(1\/5))))\/((w**(-1\/3))**(-12\/17)\/(w*w*w**(-1\/2)\/w)**(20\/3)) assuming w is positive.\nAnswer: w**(1681\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*m - 2*n, 2*m - n - 1 = 2*n. Suppose -21*j = -16*j - 5. Which is greater: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3) + 2)\/(198\/(-54)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103200 and 6120?\nAnswer: 5263200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1. Let o(t) = 53*t + 2. Let c(b) = -o(b) - 4*z(b). Is c(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5428 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 1, y: 1, k: 6, q: 3}. What is prob of sequence uu?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1308547292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*w - 6, -3*f - 4*w - 17 = w. Let x(t) = t - 1. Let h(z) = z**2 - 3*z. Determine f*h(j) + 2*x(j).\nAnswer: j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 217*o - 47510. Give n(219).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*a + 245 - 87, 2*a = 2*u + 82. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-3) - (-6)\/(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2838 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 7*x + 14*x**3)*(0*x - 3*x + 3 - x).\nAnswer: -56*x**4 + 42*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*a - 8*a = -4038, d = 3*a + 2004. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) -3 (c) -196 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 664, -1, 1, 62, -2\/11, 4, -0.2 in increasing order.\nAnswer: -1, -0.2, -2\/11, 1, 4, 62, 664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) - sqrt(243))*-1.\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11114*o**4 + 44448*o**3 - 389022*o**2 - 1666820*o + 1200 = 0 for o.\nAnswer: -5, 4\/5557, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 24 - (-9 - -6 - 6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11178 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b (base 13) to base 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -2) + -21 - -15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82500 and 600?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1039605459 > -1039605459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - 3.22?\nAnswer: -2.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23954359069 - 23954359862.05999884. Let o = -793.101 - z. Let x = o - -0.041. What is x rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16005318 divided by -262?\nAnswer: -61089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**3 - 17*h**2 - 46*h + 1?\nAnswer: -24*h - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -21. Suppose -4*h = -4*a + 64, 3*h - 7*h - 61 = -3*a. Let o = 20 + h. What is the remainder when u is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l**12\/l)\/l*l*l)*l*l**(-2\/3))\/(l*l**(-10)*l**(-5)))**(-18))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*o - 9 - 3, 4*o + 6 = -s. Suppose -s*r + 44 = m, r + 3*m = m + 16. Let z = r + -6. Calculate the remainder when 34 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042783656 rounded to seven dps?\nAnswer: 0.0004278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -2 + 0 - 88. Let i = -131999\/8 + 16411. Let f = i - j. Sort 0.2, -0.8, f.\nAnswer: -0.8, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from {i: 4, t: 6, o: 1, g: 1, l: 2, e: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1\/3))\/c*c)\/((c*c**(4\/13))\/c*c*c))\/(c**34\/(c**(-18\/7)*c)) assuming c is positive.\nAnswer: c**(-9977\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o**2 - 2 + 2)*(-8 - 2*o**2 + 8) + 8*o**4 + 16*o**4 - 14*o**4.\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73*l**3 - 5*l**2 - 48?\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6163, 8217, 11647, 16459, 22659, 30253, 39247, 49647?\nAnswer: 61459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o + 15. Suppose 3*z - 2*z = 3*z. Solve -2*d - 2*d = 5*s - o, d - s + 6 = z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 5\/2*i**2 - 1\/3*i**3 + 0 - 4*i. Calculate the least common multiple of w(0) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(45)\/sqrt(81) + -4)**2 - 6*(sqrt(720) - -5*(0 + sqrt(720))).\nAnswer: -1304*sqrt(5)\/3 + 131\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 22*q - 2307. Determine d(60).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495057 is divided by 600.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 35\/8, 1136, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/24*2\/(-20)*42.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 725781 divided by -357?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 691 - 691 - 205*t - 173*t + 51*t as x + v*t and give v.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_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: What is the tens digit of 791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*v**2 + 534*v - 38.\nAnswer: -2*(v - 19)*(14*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 49 + -3607?\nAnswer: -3558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/48369 and 73\/6309.\nAnswer: 145107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6323, 50592, 170841, 405080, 791319, 1367568, 2171837?\nAnswer: 3242136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 11. Suppose 25 = 3*o + 2*q - 0*q, -5*o + q = -20. Let f be w(o). Let k be 11 - f\/16*0. Solve 3*h + 1 = -k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/12 - j**2 + j. Differentiate c(n) wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*o**4 + 4925*o**3 + 616525*o**2 wrt o.\nAnswer: 1872*o + 29550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Let l(m) = -m + 21. Let s be l(11). Suppose -s = -d + 6*d. Which is the third smallest value? (a) 2\/9 (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3044, -2753, -2250, -1529, -584, 591, 2002, 3655?\nAnswer: 5556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1 + 34*z - 5 - 1 + 7*z. Is p(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 + m - 6. Let d be u(-2). Solve -2*z = -d + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 12*r - 8. Let s be p(-6). Suppose u - 8*u = -s. What are the prime factors of -1 + 2 + -1 + u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2830 divide 1688837250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 568, 873, 932, 745, 312?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 + 29*h - 143. Is a(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**3 - 30458 - 30492 - 30456 + 91406.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -20.\nAnswer: 29\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-17)*(-3)\/(-45)*5?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 1. Let k be d(-1). Suppose 0 = -k*f - 3*f. Suppose -2*i - 5*b + 28 = 0, -4*i - i + 3*b + 8 = f. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2219 - -42199703742?\nAnswer: 42199701523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4657\/27978 - -1\/4663. Let r(s) be the third derivative of -s**3 - 1\/60*s**6 + 0 - 7\/12*s**4 - 9*s**2 - k*s**5 + 0*s. What is v in r(v) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + (0 + 14 - 6) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -58.19.\nAnswer: -58.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + (sqrt(2299)*-1 + -1)**2 + -2 + -1.\nAnswer: 22*sqrt(19) + 2306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23779 * -0.1044\nAnswer: 2482.5276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33\/5 of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 13 = -31. Suppose 0*h = 4*d + h - 88, -2*d - h = -g. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -1.96. Let v = 2 - o. Let l = 559 + -556. What is the closest to l in -0.3, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 7:24 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 5*g**2 - 16*g + 170. Calculate r(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 3*b**3 - 4*b**3 - 3 + 3 - b**3 + (-28401*b - 29581*b + 20026*b)*(-b**2 - 3*b**2 + 5*b**2).\nAnswer: -37958*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*b - 12. What is the highest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 15) in base 3?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v - 180*v**3 - 321*v**3 - 108*v**3 + 12*v + 47*v**3.\nAnswer: -562*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -60a6 (base 13) in base 2?\nAnswer: -11010000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/10 - (-3546)\/10.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 3*i**5\/5 + 5*i**3\/3 - 11*i. Find the second derivative of l(a) wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 3*k**2 - 10*k + 4. Is 10 a factor of p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from cdccdcc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-12) - ((-2)\/4 + -2). Solve 0 = -4*l - d - 1, t = 4*d - 2*d - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 913427 and 2533?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*f + 37829 + 63121. Is 29 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -5, -348, -2, 0 in decreasing order.\nAnswer: 2, 0, -2, -4, -5, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*p**3 - 138*p**3 - 130*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 1. Let o(i) = 2*i**3 + 4*i**2 + 4. Suppose 6*d + 20 = d. Let j be (-9)\/12 + d\/16. Give j*o(b) + 4*m(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -51\/7. Let p = -53.79 - 1.21. Let s = -56 - p. What is the biggest value in -1\/3, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 179886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 94 - 69. Let l = 210.5 + -211. What is the nearest to a in l, 4, 6, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*z - 13*z + 13*z)*(-290 - 57*z**3 + 290).\nAnswer: -1083*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b**2 - 4*b + 4. Let x(u) = 8*u**2 - 5*u + 5. What is 5*p(a) - 4*x(a)?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 2:54 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4798 - 4?\nAnswer: 4794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 670 divide 136563420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 3*s + 46.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = d + 3*k, d - 6*d + 34 = 3*k. Let c(n) = 8*n + 74. Let y be c(-9). Solve 5*q - y*l + 15 = 3*l, -3*q + l = d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(5 - 5 - 3*w) + 8583*w - 18184*w + 8791*w + (1 - 5 + 3)*(2*w - 2 + 2) in the form u*w + q and give u.\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 - 97 - (-10 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2610 divided by -290\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-10)*(-50 - -2)\/(-4). Let j(b) = -b**2 - b + 36. Let z be j(t). Suppose 3*g = -2*g + 330. Calculate the highest common divisor of z and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-32) - 34\/8. Let v be ((-2)\/k)\/((-3)\/18). Let g be 20\/12*v\/(-1). What is the highest common factor of 25 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnv when three letters picked without replacement from {s: 7, n: 1, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f = -8*p - 86, -4*f + 153 = -p + 144 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 37 = -3*a, 8*v + 54 = 3*v - 4*a. Let u = 12 + v. Suppose x + 2*k + 102 = 3*x, -u*k - 157 = -3*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 3\/2*m**3 - 24*m + 0*m**4 - 5\/6*m**6 + 0*m**5 + 0*m**2 + 0. What is the second derivative of h(y) wrt y?\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 18. Let l be g\/(-22)*(-40)\/(-30). Which is the third smallest value? (a) l (b) 0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64970*p**5 + 4002*p**2.\nAnswer: -3898200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + x. Suppose -21 = -3*p + 3. Suppose 4*b = 2*j + p, -b - 8 = -3*j + 5. Let c be 2 + j\/(-2) - -2. Give o(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 7:23 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567.34 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + r + 19 = 1, -3*r = 3*w. What is the closest to 0.1 in w, 3.4, 1\/11, 1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186897907 by 2789521.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 - 47 = 3*g. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3\/4 - 503*x**2\/4 - 101*x\/2.\nAnswer: x*(x - 101)*(5*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 7, q: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i = q - 5*i - 59, 2*i = 4*i - 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355352895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -19, -25, -31, -37?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 10*k**2 - 2*k - 2. Let m(r) = r**2 - r - 1. Let o(x) = -2*m(x) + q(x). Let i be 207\/(-45) - -5 - (-3)\/5. Calculate o(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9608*k + 5 - 199*k - 5 + 19440*k)*(-2*k**3 - 2*k**3 + 2*k**3) as o*k**2 + p + w*k + l*k**3 + h*k**4 and give h.\nAnswer: -57698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r + 25 = 5*x, 0 = 2*r + 3*x - 13. Let f be (9\/(-4))\/(3\/(-8)). Let d be (-2)\/(-4) - 9\/f. Sort r, -4, d.\nAnswer: -4, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125 - -37. Let u be 48\/(m\/(-114) + (-2)\/19). Solve 76*r = u*r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1624 divided by -13.\nAnswer: 1624\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*t**3 + 0*t - 10*t**2 + 22*t**3 + 0*t as o + u*t**3 + l*t**2 + b*t and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 9423 = 4*h + 3*d, 4*h - 9433 = -5*d. Let a = -1633 + h. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*n = -40, -19*c + 23*c - 3*n = -28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Which is bigger: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 129*s**5\/5 - 4521*s**4\/5 - 15012*s**3\/5 + 20316*s**2\/5 - 912*s\/5 = 0.\nAnswer: -4, 0, 2\/43, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7802314 to the power of 1\/2, to the nearest integer?\nAnswer: 2793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*t - 198943 = 285193, 242042 = 2*o - 4*t. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 6130212211280?\nAnswer: 6130212211283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16836327 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let o = 1.451 + -1.53. Let j = o + -0.121. Which is the nearest to z? (a) j (b) -2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 + 2 - 2) + 70 + -69\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 31054 and -128190.\nAnswer: -97136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(-308)\/275 + 6 + 245758\/5. Calculate the greatest common divisor of 384 and l.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4456 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.023, 14, -26, 3?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275289.09 months to centuries.\nAnswer: 229.407575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1100*f**3 - 366*f**3 - 364*f**3 - 368*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -598 + 1216. Suppose -824 - 204 = -5*q + 3*u, 0 = 3*q - 3*u - n. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84836.97 hours in milliseconds?\nAnswer: 305413092000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -633, -1413, -2341, -3417, -4641, -6013?\nAnswer: -7533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -54 (c) -1\/2 (d) 1\/3 (e) 0.5 (f) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 138 = 2*k, -k + 5*d - 336 = -5*k. List the prime factors of k.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/82255 and -69\/245.\nAnswer: 4030495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)\/g*g*g**(1\/9)*g)\/(g\/(g**5*g)*g**1\/g))**(-2\/33) assuming g is positive.\nAnswer: g**(-92\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 - 93 - (-29 + 43 - 11)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 125409461 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62961484*m**3 - 367194*m - 45 wrt m.\nAnswer: 377768904*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/65 - 30\/(-26). Calculate the least common multiple of 42\/(-4)*(-16)\/7 and ((-3)\/6)\/(a\/(-54)).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.06 - -10.16. Let d = -0.3 + 0.1. Let m = 0.1 + d. Sort l, m, 0.03.\nAnswer: m, 0.03, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -0.04, -2, -0.3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-1)\/((-1)\/56). Let j be 5\/5 + -7 - -11. Suppose 0*i + 2*i + 64 = 5*v, j*v - w = -3*i. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:52 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**5\/20 + u**4\/6 - u**3\/6 + u**2 + 6*u. Give z(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -591, -4, -3, -2, -173 in descending order.\nAnswer: 0, -2, -3, -4, -173, -591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*o - 47*o + 25*o + 22)*(3 + 7*o + 4 - 8*o).\nAnswer: -o**2 - 15*o + 154","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one sixths of a day in hours?\nAnswer: 164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (42\/8)\/(18\/96)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/10 - (-6)\/15. Let o = -3 + 1. Let b = -3 + o. Put n, 4, b in increasing order.\nAnswer: b, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 106*b**2 + 9*b + 1. Let i(n) = 26*n**2 + 2*n. Give -9*i(a) + 2*j(a).\nAnswer: -22*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + u + 3 - 5, k = -2*u. Let w be (-11)\/((-165)\/20)*(-1 + k). Suppose 5*t + 2*s + 2 = 0, t - 2 = 4*s + 2. Solve t = -0*b - w*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.3, 9, 0.761, 4\/5, 1\/282 in ascending order.\nAnswer: -3.3, 1\/282, 0.761, 4\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*s + s + 8, -4*v + 4*s = -12. Suppose p + 21 = 5*p + n, 5*p = -5*n + 30. Suppose 2*j = p + 11. What is the remainder when j is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 17778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k = 1432 - 1572 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(75) - sqrt(3)) + sqrt(135)\/sqrt(5) + sqrt(3))**2 + (sqrt(240)\/sqrt(5) - sqrt(33)\/(sqrt(11) + sqrt(44))).\nAnswer: 59*sqrt(3)\/3 + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u - u + 0*u + 3*u - u - u + 0*u + 0*u - u + (0 - 3 + 2)*(-2*u + u - u) + u - 7*u + 3*u to n + a*u and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 11*y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42647 (base 8) to base 15.\nAnswer: 543b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 638 and 252967.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/708 and -37\/60.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5 - 27*g**2 - 46*g**2 - 9*g + 82*g**2. Let f(d) = d**2 + d. Let j(l) = 8*l**2 - 2*l - 3. Let t(z) = -3*f(z) + j(z). What is 11*t(m) - 6*u(m)?\nAnswer: m**2 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**2 + i + 1. Let j(c) = -14*c**2 + 20*c + 34. Let b(u) = j(u) - 4*x(u). Determine k so that b(k) = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033436 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262\/8 + 8\/32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - 100?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d77 + 2?\nAnswer: -2d75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/3))\/(((l*l**2)\/l)\/l)*l**0\/((l*(l\/l**5)\/l)\/l) assuming l is positive.\nAnswer: l**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y**2 - 19*y + 68. Determine j(4).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 15, t: 5}. Give prob of sequence tiii.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**3\/7 - 12*k**2 + 156*k\/7 = 0.\nAnswer: 0, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + -59. What is the closest to 0 in u, 0.01, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + 3)*-5)**2*4.\nAnswer: 4800*sqrt(19) + 122500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 4:22 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24410\/14231 - 2\/2033. Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143580645 and 945.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -150\/574259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -44\/389001?\nAnswer: -44\/389001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*q, -5*q = -0*q. Suppose 4*k - 77 - 7 = l. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 327, 735, 1295, 2001, 2847, 3827, 4935?\nAnswer: 6165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 8:24 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1409283 and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 4407*h**2 + 519*h**2 - 372*h**2 + 3*h.\nAnswer: 4554*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**8\/840 + p**7\/140 - p**6\/60 + p**5\/60 - 16*p**3\/3 - 9. Let s(m) be the third derivative of u(m). Factor s(r).\nAnswer: -2*r*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0068946 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 395, -13 in ascending order.\nAnswer: -13, -3, -2, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-4) - 50\/(-8). Suppose 0 = -f*n + 6*n + 29. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 9\/(36\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, -1, -291, 2.\nAnswer: -291, -12, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -7 + -1 + 3 + -7. Let u = 3 - -1. Sort t, u, 8 in ascending order.\nAnswer: t, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let k be y(2). Let f = 17407 - 17356. Sort 3, f, k, 4 in decreasing order.\nAnswer: f, 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-2) + 1890\/(-252). Let b(t) = -2*t - 2. Let n(o) = -2*o - 2. Calculate r*n(a) + 3*b(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 9303399.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (172\/36 - (-16 - -21))*-24. Factor 8*y + 1\/3*y**3 - v - 3*y**2.\nAnswer: (y - 4)**2*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**4 + 22*u**2 + 15*u - 13*u - 10*u**4 - 2 + 2*u**4 as a*u**2 + x + l*u**3 + z*u + k*u**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y = 1477 - 417 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 2. Suppose 2*u + 20 = 4*u. Solve -24 = y - i*k, -5*y = k + 5 + u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 2)*(-24 + 24 + 8*u) + (1 + 4 - 3)*(5*u - 4*u - 2*u) + 0 + 0 + u)*(-2*u + 2*u + u).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120019 is divided by 39970.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5\/7 - 81*j**4\/7 - 1551*j**3\/7 + 17625*j**2\/7 - 49536*j\/7 + 42180\/7 = 0. What is j?\nAnswer: -19, 2, 5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 0*w**2 - w**2)*(w - 2 + 2)*(-30 + 30 - w).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q + 2. Let n(g) be the second derivative of g**3\/2 + g**2\/2 - g. Suppose 4*a + 0*a - 8 = 0. Let y(w) = a*b(w) - 3*n(w). What is y(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 7) to base 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -22) + -10 + -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1.31.\nAnswer: 2.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310221901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*j + 110*j - 4*o - 1190 = 0, -5*j + 1190 = 3*o. What is the remainder when 13087 is divided by j?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313238 to the power of 1\/2, to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192315799 by 13943.\nAnswer: -13793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 13 = -g + 1, -b - 16 = -5*g. Suppose -2*r - 33 = -3*d + 115, g*d = r + 194. Let w = d - 28. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2 + 34074*w + 96753123 = 0. Calculate w.\nAnswer: -5679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9942 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 29875811?\nAnswer: 11950324.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 + 9*j**2 + 17*j + 9. Let q(o) = 2*o**3 - 5*o**2 - 9*o - 5. Calculate 4*g(u) + 7*q(u).\nAnswer: 2*u**3 + u**2 + 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 d when three letters picked without replacement from nnmlnndnnndlnnnnnnm?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16552, 33046, 49464, 65806?\n\"Answer: -38*l**2 + 16608*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h - 15, m - 173 = -4*h. Let i(a) = -a**3 - 2*a**2 + 37*a - 113. Let o be i(0). Let g = m + o. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 6*p - 3. Solve 5*g - 2 = p*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -40. Suppose 25 = -d*l + 214. Does 4 divide 51\/2 + l\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2777524 divided by 2\nAnswer: -1388762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.098 - -172.098. Let g = b - 172.0086. Round g to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {f: 3, u: 3, w: 4, p: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + (-26)\/(-8))*4. Suppose -w*b = 2*r - 3*r - 21, -5*b - 4*r + 41 = 0. Suppose b*o - z - 54 = 3*z, -o + 10 = -z. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4662 and 4987526.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 3*l + 6*l)*(4*l - 3*l + 2*l)*(18 + l - 18 + 3*l**2).\nAnswer: 63*l**4 + 21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 - 2*d + 1 - 2*d**3 - 3 + 13*d**3 - 19*d**3 - 19*d**3 + 308*d**3 + 406*d**3 - 490*d**3 + (-d - d + 4*d)*(-3*d**2 + 0*d**2 + d**2).\nAnswer: 197*d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-58)\/7 + (-4)\/(-14). Let v be (-5)\/(-6) + 12\/h. Put 2, -0.07, v in ascending order.\nAnswer: v, -0.07, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (sqrt(18)\/sqrt(2))\/sqrt(3))**2.\nAnswer: -76 - 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/14 and 46\/53?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8378409044.\nAnswer: 2, 919, 967, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by -3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-4*(240\/(-256))\/((-12)\/(-16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4329 and 12?\nAnswer: 17316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 3143021c?\nAnswer: 31430222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1\/3 (c) 4\/39 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1 - 2 - 6*n + 4 - 2*n**2 + 3. What is p(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144948*w**6 - 4*w**5 + 2*w**3 - 2090434*w**2 - 2*w?\nAnswer: -17393760*w**3 - 240*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 97228536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/4))**(17\/6)\/(w**(-1\/4)\/((w*w\/(w\/(w*w**(5\/4)\/w))*w*w)\/w)) assuming w is positive.\nAnswer: w**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12783730 is divided by 1362?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 2482. Let s(t) = 5*t**2. Determine l(s(p)).\nAnswer: 10*p**2 - 2482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3\/2 - 422*y**2 + 187*y\/2 + 1521.\nAnswer: -(y - 2)*(y + 169)*(5*y + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33392 a multiple of 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (249\/(-12))\/((-21)\/(-314)). Let f = q - -2005\/7. Find the common denominator of f and -45\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7026462752460 and 3.\nAnswer: -7026462752457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**2\/5 - 25729*b\/5 - 32146062\/5 = 0.\nAnswer: -1194, 26923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 + 6472*j**2 - 4*j - 6472 = 0. What is j?\nAnswer: -1618, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7\/(h\/(((h\/(h*h**(-8))*h)\/h)\/h))*(h**(-1))**(-10))\/((h\/(h*h\/(h\/h**(-7))*h))\/(h*h**(1\/5)))**(-29) assuming h is positive.\nAnswer: h**(811\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -21. Let t be 10\/12*v*(10 + -13). Let o be (3\/t)\/(-5 - (-96)\/20). Solve 8 = -o*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2300, 9217, 20752, 36905?\nAnswer: 57676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1160812.\nAnswer: 1\/290203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-21))\/(-8*(-3)\/72*14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/2232 and 119\/6696.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/42)\/(12\/14)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -418\/3 + 140. Factor -2\/3*w**2 + 1\/3*w**3 + p - 1\/3*w.\nAnswer: (w - 2)*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 530 + -809. Let r = 1184 + y. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 4:28 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = -3*q - 161, -2*k - 156 = -2*q. Let v = -74 - k. Suppose 5*s - 14 = -3*f + 515, f + v*s = 163. List the prime factors of f.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54035 is divided by 474?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/37, -0.6, 4 in decreasing order.\nAnswer: 4, 1\/37, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at most 186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60 and -0.28?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004377 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2993*n + 1767*n = 304640 for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4\/9, -0.2, -9.6, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*z + 243*z + 764*z + 2187 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 4 (b) -0.036 (c) -7 (d) -9 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6432 - 6425) + -1 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-4*3)\/sqrt(2))\/(sqrt(22)\/(sqrt(11) - sqrt(99)*-1 - sqrt(11))) + 3.\nAnswer: -36*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 168*l**3 - 1207*l - 526. Differentiate d(f) with respect to f.\nAnswer: 1008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from nhzzhhhss?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j - 4. Let p(a) = -33 + 84*a - 14 - 2. Calculate -4*p(w) + 49*y(w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 65472, -16.7, 12, -4, 1\/2?\nAnswer: 65472","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7 = -n + 6, 0 = 4*n + 2*p + 4. Let x be (4\/(-6496))\/(n\/(-3)). Let d = -20327\/14616 + x. Find the common denominator of -93\/10 and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -16*l - 26. Let z(d) = 3*d + 5. Let o(s) = -2*g(s) - 11*z(s). Suppose 3*h - j + 15 = 0, j - 4 = -2*h + 4*j. Determine o(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 8 (c) 0.183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5019 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - a - 149, 2*j - 2*a + 82 = -58. Let p = j - -51. Calculate the common denominator of -35\/16 and (-4487)\/308 + 4\/p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -46*i + 1. Calculate the remainder when u(-2) is divided by ((-5)\/(-3))\/((-6153)\/(-1512) - 4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -927, -5\/3, 2, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.03 (b) -203 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2 + 189278*i - 1325044 = 0. Calculate i.\nAnswer: -94646, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(6 - (0 - -10)) + -4. What is the biggest value in 0.3, 1, a, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b3 + -606a3?\nAnswer: -60896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3823 divided by -287\nAnswer: 3823\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 8*u**2 - u + 8. Let c be m(8). Suppose -3*i + c*i + 54 = -o, 0 = -2*o. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76\/59005 - 1902143121\/826070. Let a(t) = -64*t**2 - t + 2. Let v be a(-6). Let o = v - p. Find the common denominator of -131\/12 and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20220121 (base 3) to base 16\nAnswer: 13ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3025 greater than -3277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147 + 99. Let a = l + 48.0035. Round a to four dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-10) + (3\/15 - -1). Which is smaller: j or -1\/36?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 16. Let q(z) = 26*z - 12. Give q(a(f)).\nAnswer: 26*f + 404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q - 2*q**2)*(2 - 2 - 2*q**2) + q**4 + 0*q**4 - 2*q**4 + 47*q**4 - 56*q**4 - 24*q**4.\nAnswer: -30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 826514321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*z + 16*z - 10178547 = -41*z - 10182472 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**3\/3 + 5809788*n**2 - 25315221643919*n - 151891399580978\/3 = 0.\nAnswer: -2, 8714683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8938 + 8941. Let s = -0.1 + 0.3. Let i = s + 0.8. Put j, 2\/3, i in descending order.\nAnswer: j, i, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*i + 52 = 4*c, -5*c - 10 = 0. What is the third smallest value in i, -2\/3, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r - 1. Let y(l) = -44*l - 21. What is -18*i(u) + 2*y(u)?\nAnswer: 2*u - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0 (c) -1839 (d) 0.4 (e) 8.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-3) + 2*2. Suppose -2634 + 6420 = j*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/20 and 43\/7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 54. Give v(4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 28 - 4*h**3 + 26 + 2*h**3 - 2*h**4 + (-4*h**3 + 6*h**3 + 0*h**3)*(-5 + 5 - 2*h) in the form y*h**3 + w + l*h**4 + d*h**2 + g*h and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 256 and 992?\nAnswer: 7936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*h - 210 + 676 = -869 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -141310434 (base 5) to base 9\nAnswer: -1330734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4, 2*t = 6*u - u - 707. Let l = -263\/2 + u. Find the common denominator of -3\/20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 3*s**2 - s. Let m be o(-1). Which is smaller: m or -1\/23?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/3688 and 11\/1108.\nAnswer: 1021576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4)*-8)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*m - 3 - 12, 0 = -3*m - 2*j + 9. Let z be m + 2*(-1)\/2. Factor z*t**3 + 3*t**2 + 1 - 5*t**2 + 1 - 2*t.\nAnswer: 2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*g = 22, g = 18*y - 23*y + 7. Solve y*b - 131 = -127 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z\/z**(-6)*z)\/z*(z**(-7)*z)\/z*z*z**(-3)*z**(-1\/11) assuming z is positive.\nAnswer: z**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -711*u + 22046. What is w(31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 248 - 216.6. Let k = s + -31. Sort 0.3, k, -3\/4 in increasing order.\nAnswer: -3\/4, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minus 0.4247634?\nAnswer: 53.5752366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 3*i - 3*i + (2*i**2 + 0*i**2 - i**2)*(-2*i - 3*i + 3*i) - i**3 - 3 + 3 - 8904982 + 3815*i**3 + 8904982.\nAnswer: 3813*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w = 2*j + 4644, 3*w = j + 3484. Suppose -w = -8*f + 1294. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 8. Let k be w(6). Let m be ((-2)\/(-5))\/((k + -1)\/15). Suppose -m*t + t = -1. Solve -3*l + 11 + t = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 112? (a) 0.5 (b) -0.3 (c) -2\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 740 and 84?\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 744\/1364*(-121)\/(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**8\/560 - v**6\/180 + v**3\/6 - v. Let c(x) be the second derivative of f(x). What is the third derivative of c(t) wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 63*l + 192. Let f(h) = -4*h - 12. Let n = -65 + 65. Suppose 4*o + 65 + 67 = n. Let q(w) = o*f(w) - 2*a(w). What is the derivative of q(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -7*v + 2 - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.42 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0, 0.07, 1\/5, 12.\nAnswer: -2\/5, 0, 0.07, 1\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*m + 22, 3*m - 14*r + 16*r = -21. What is the nearest to -6 in m, 1\/4, 2, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -16\/679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h + 1. What is the units digit of z(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3110600 - 1462?\nAnswer: 3106105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210895 - 395842 + 184947 - 8*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33324934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4546*u**4 - 2437 + 8074 + 2031 wrt u?\nAnswer: 18184*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2388 and 45\/43?\nAnswer: 102684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 1794*i**2 - 242004*i + 9452088.\nAnswer: -3*(i - 426)*(i - 86)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1388 + 1599. Calculate the remainder when 227 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-1) + 451\/(-41).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t - 22. Suppose -28 = 4*r - 2*y, -4*y - 9 = -97*r + 102*r. What is v(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -0.01, -12, -33.5 in ascending order.\nAnswer: -33.5, -17, -12, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let o(x) = -2*x - 31. Let d be o(-15). Put 4, b, d in decreasing order.\nAnswer: 4, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * -14.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + p + 39. Give w(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11 - i + 8*i**2 + 4 - i**3 + 2*i**2. Let s be b(10). Solve -3*n = f - 17, -5*n - 6 = s*f - 41 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.15852 years to centuries.\nAnswer: 0.6315852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353636 = -2*t + 1072*f - 1074*f, -2*t = f - 353633. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1657*d. Let b(l) = 1659*l. Determine 5*b(y) + 4*z(y).\nAnswer: 1667*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2883.37159183+-3.48\nAnswer: 2879.89159183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*z - 1 + 5, -3*z + 6 = 0. Let a(c) = o*c + 0*c - c. Let q(h) be the first derivative of -9*h**2\/2 - 19. What is a(q(x))?\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1027 - 1598. Is h smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4783381 is divided by 88581.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6292 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9440712.\nAnswer: 2, 3, 17, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -7 + 13\/3*o**3 - 8*o + 0*o**2. Differentiate v(g) with respect to g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + c + 3. Calculate f(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*v + 0)*(v**4 - v**4 - 3*v**4) + 2*v**3 + 3*v**5 - 11 + 11 + 0*v**5 + 2*v**5 - v**5 + (0*v**3 - 8*v**3 - 3*v**3)*(1 - 4*v**2 - 1).\nAnswer: 54*v**5 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by -7 + 328\/8 + -2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104008577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 - 0.1. Let v = -169511.999984 - -169514. Let b = v - r. What is b rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -2238\nAnswer: -8\/1119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19859, 18745, 17635, 16529, 15427, 14329, 13235?\n\"Answer: 2*c**2 - 1120*c + 20977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**3 - y**2 - 2*y - 4. Let s be n(-2). What is the highest common divisor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 12*v + 11. Let z be l(5). Solve p = 4*b - 0 + 1, 2*p + z = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1193*o**2 - 517 wrt o?\nAnswer: -2386*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 526 + -134. What is the remainder when w is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*b - 6, -u = -3*u + 5*b - 15. Suppose u = 5*q - 0*q + 75. Let d be -2 - (q - (2 + 0)). What is the highest common divisor of 75 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - k = -165, -61 - 55 = -3*v - 4*k. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxl when three letters picked without replacement from xlxxxxxx?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + -1 - (53 + -48) - -5) + -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-56)\/(-24)) + 575\/(-120). Which is the third smallest value? (a) 0 (b) 5 (c) y (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-9)*y)**(-37)*(y\/((y*y**34)\/y))\/(y\/(y**(15\/7)\/y)) assuming y is positive.\nAnswer: y**(1583\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p = 3*g - 309, 7*p - 80 = -12*p + 15*p - 0*p - 2*g for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -30*g - 142. Give f(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 18 = 28. What is the third derivative of 13*q**2 + 16*q**4 - 6*q**4 + u*q**4 + 5*q**2 wrt q?\nAnswer: 480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4 - 1. Let y be 1\/(a\/5*1). Is y bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/316540 and 59\/712215?\nAnswer: 2848860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*z - 26. Let c = 26 + z. Suppose c = 4*l - 107 - 109. Calculate the remainder when l is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8)\/(9*(-8)\/(-1584)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1659132 divided by 6.\nAnswer: 276522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 - (-200)\/35.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1020 + 1440 - 404 = -257*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-6)*(-3)\/(-20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9\/262 + -479\/1310. Let m = 3 - 2. Let g be (m\/(-6))\/(1\/(-3)). Which is the closest to r? (a) g (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 955112344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -57390 and -57390 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 2*l + 1. Let q be t(3). Suppose 0 = q*p - 2*p - 8. Find the second derivative of k**p + 0*k**4 + 0*k + 2*k wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 3*q - 3. Let u be i(7). Let f = u - 36. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*(6 - (-10 + 6)). What are the prime factors of ((-2)\/(2\/i))\/(2\/(-58))?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152)*2)\/(sqrt(80)\/(sqrt(30)\/sqrt(3))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2. Let n(j) be the first derivative of -j**3 + j**2\/2 + 21. Determine t(n(l)).\nAnswer: -18*l**4 + 12*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -23*n**3 - 17*n + 6. Let v(f) be the first derivative of -2*f**4 - 3*f**2 + 2*f - 37. Give 6*u(s) - 17*v(s).\nAnswer: -2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1362 + -1337. Let b(v) = v**3 + 13. Let p = -5 + 5. What is the remainder when n is divided by b(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {a: 1, e: 2, g: 1, o: 3, n: 5}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 5*z - 27. Let t be m(7). Let s(u) = -u**3 - 14*u**2 - 20*u - 16. Let j be s(t). Let k = 80 - j. Solve k*c + 1 = -19 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122122 times -0.3\nAnswer: -36636.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*c = 49, 0 = -4*r - 2*c + c + 144. Suppose -12*i + 26*i = 56. Calculate the remainder when r is divided by (-320)\/100*(-10)\/i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 9*r**3 + 170*r**3 + 3*r**2.\nAnswer: 179*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.8 - 2. Let f = 5.8 - u. What is the nearest to -0.1 in -2\/19, f, 1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 1606?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 173.65 and 37.\nAnswer: 6425.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 12*s - 16*s - 515 = 0, -s = -2*f + 206. Calculate the remainder when f is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of ((-2)\/(-2))\/((-69)\/(-21252))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from eeclelulellllllul?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*c + 4)*(0*c + 5*c - 3*c) - c**2 + 4*c - 4*c + (-c**2 - c**2 + 5*c**2)*(-2 - 1 + 1).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 - 119. Let b be h*(-7 + (3 - (-2)\/(-2))). Solve -4*u = -8*u - 4*l - 28, u + b*l = -23 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15201893403 + 15201892745.00000782. Let q = -658 - w. What is q rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 97211537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 172 (base 8) to base 16\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h + 9. Let n(x) = x + 2. Suppose -31 = -4*t + 33. Suppose 3*k = -k + t. Suppose 7*o - k*o + 6 = 0. Calculate o*r(m) + 9*n(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -3. Suppose 5*s - 2*s - 5*x = -11, 5*s = -4*x + 31. Calculate the remainder when s is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.855 + 2.857347. Round t to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - i - i + (0 - 4 + 0)*(-1 + 2*i + 1))*(i**3 - i**3 - i**3) - 2*i**4 - 2*i**4 + 2*i**4 + (3*i**3 + 2*i**3 - 3*i**3)*(-3*i + 0*i + 2*i).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 146194950 to the power of 1\/2, to the nearest integer?\nAnswer: 12091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8113*a + 1854 - 1854.\nAnswer: 8113*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.085 - -0.085. Let t = 4\/39 + 136\/195. Which is the nearest to -2? (a) t (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6*i*i\/(i*i\/(i\/(i**(-1\/12)*i)))*((i*i**(-5)*i)\/i*i)\/(i**(1\/7)*i))**(-20\/3) assuming i is positive.\nAnswer: i**(-815\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -77\/4. Let l = 69 + -66. What is the biggest value in 2\/3, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7216 + -4743. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*q - 15 = 0, -2*q + 6*q + 20 = -4*m. Let x = 3 + m. Is (4\/x)\/(2\/(-27)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1118 + -1806. Let d = -660 - l. What is the highest common divisor of d and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1632 and 6.52.\nAnswer: 10640.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, a: 7, x: 2}. Give prob of picking 1 x and 2 a.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 0*v - 4 + 10 - 4 as s + j*v and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Let d be f*((-27)\/15 - -2). Which is the biggest value? (a) 1 (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1269\/(-7755))\/((-24)\/44)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33865635, -33865634, -33865633, -33865632?\nAnswer: -33865631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 19*n - 14*n + 27, 108*r - 4*n - 48 = 99*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*1)\/(2 + -4). Let i(k) = -267*k**2 - k + 1. Let g be i(p). Let s = -179 - g. Calculate the greatest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*i + 0)*(3 - 4 - 6 + 2 + 0 - 1 + (1 + 1 - 1)*(-1 - 2 + 1)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*6\/15)\/(4\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -34. Let n = -8 + 9. Which is the closest to n? (a) g (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 118*r**6 - 3*r**5 + 3*r**4 + 76*r**2 - 3*r - 3. Let l(m) = m**5 - m**4 + m + 1. Let d(o) = 3*l(o) + p(o). What is the third derivative of d(f) wrt f?\nAnswer: 14160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*f - 102*f + 396*f - 8100 = -26200 for f.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14570, -29236, -43898, -58556, -73210, -87860, -102506?\n\"Answer: 2*i**2 - 14672*i + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2529 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-29650)\/(-72)*58\/(-7045). Let x = s - -2\/1409. What is the common denominator of (150\/(-135))\/((-8)\/(-78)) and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 + 1914 = -3*q - 2*u, -2*q + 4*u = 1020. Let t be q\/(-36)*75*156. Round t to the nearest one thousand.\nAnswer: 165000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1968 less than -11?\nAnswer: -1979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 58341.999.\nAnswer: -17502.5997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 896*d + 36. Let m(w) = w + 17. What is -2*m(c) + v(c)?\nAnswer: 894*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 + 1179 - 1179 + (-2*u**2 - 4*u**2 + 4*u**2)*(-1 - 3 + 5) + (-u**2 + u**2 + u**2)*(-39 - 5 + 0))*(-2 + 2*u**2 + 2).\nAnswer: -82*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84 + 6225\/50)\/(3\/(-6)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 279125.43 months?\nAnswer: 23.2604525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((392\/21)\/8*(-6)\/8)\/(46\/(-1288))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(330) - sqrt(330)*2))\/sqrt(6))\/(4*(sqrt(160)\/sqrt(4))\/sqrt(8)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/2)*d*d*d\/d**3*d)**5 assuming d is positive.\nAnswer: d**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.33 + -12.67. Let u = l - -5. Let j = -0.1 + 1.1. Is u at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79+-559.2\nAnswer: -480.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*t**3 + 49*t**3 - 5*t + 15*t**3 + 3*t + t**2 to the form y*t**2 + v*t + l + g*t**3 and give g.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 16 = 0, -4*w - d = w - 84. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346.4781 millimeters to nanometers.\nAnswer: 346478100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*x + 1 - 4, -3*a + 27 = -3*x. Let y be x\/4*(-8)\/3. Let r be (-5)\/(1\/(0 + 1)). Sort -4, r, y in decreasing order.\nAnswer: y, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (4 - 7)) + 32512\/(-5440)\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 66*l - 171. Is w(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 8*n + 12. Let u(w) = -60*w**3 + 5*w**2 + 5*w + 2. Let d be u(6). Is (-2)\/5 + d\/(-20) + n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231405865 to the power of 1\/3, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -7 (c) -2\/11 (d) -0.3 (e) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89b (base 14) to base 11.\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154 + 234. Suppose 2016 - y = 4*u. Calculate the greatest common factor of 37 and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 635 to the nearest ten.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**2*h*z**3 + 2*b**2*w*z**3 - 4*b**2*w*z**2 + b**2*z**3 - 13*b**2 + 28*h**2*w + 10*h*w*z - 2*w*z**2 wrt h.\nAnswer: -3*b**2*z**3 + 56*h*w + 10*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 83742 divided by 102?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**2 - 15 + 9 - 12 + 166*k + 20.\nAnswer: 9*k**2 + 166*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**3 - 5*a**3 + a**3 + (2 - 1 + 1)*(77 - 22 + 12)*(2*a**3 - 3 + 3) in the form k*a**3 + q*a**2 + g + c*a and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -0.42, 2 in decreasing order.\nAnswer: 5, 2, -0.42, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*m + 16, -4*m = 2*n. Let t(h) be the second derivative of -h**3\/6 + 11*h**2\/2 - h. What is the units digit of t(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4 - -2. Let h(a) be the second derivative of -a**4\/12 + 7*a**3\/6 - 5*a**2\/2 + 5*a. Let j be h(7). What is the closest to 1 in 5, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:27 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30238667 + 79799843714\/2639. Let s = 1\/377 + x. Put 0.3, -1, 0, s in decreasing order.\nAnswer: s, 0.3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 4*q**2 - 4*q. Let i be d(-6). Let x be (22\/6)\/((-2)\/i). Let g = x + -45. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680.3002 millilitres in litres?\nAnswer: 0.6803002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10362, -40296, -89802, -158880, -247530, -355752?\n\"Answer: -9786*l**2 - 576*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/10 and 35\/232.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1490977*l**4 + 23*l**3 + 2*l - 168702407.\nAnswer: 5963908*l**3 + 69*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 266 = -346. Let k be 4 - ((26 - 28) + h\/26). Let o be (-4)\/14 - 18\/(-14). Is o not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 0.03564 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1228 + -1232. Suppose -3*v - 3 = 0, 3*j - v + 4 = 4*j. Suppose j*q + 2 + 3 = 0. Which is the closest to q? (a) 2\/3 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23743, 23739, 23733, 23725?\nAnswer: 23715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -k + g + 4*g, -2*k = 3*g - 23. Solve k = -4*f + 2*v - 0*v, -5 = 5*f + 5*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -33. Calculate the remainder when (-2)\/7 + 42149\/791 is divided by 4 + 10*(p + -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 9:06 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 3.690650256.\nAnswer: 4.690650256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659977544 to the nearest integer?\nAnswer: 25690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32\/3 in -2\/3, -1, 7\/381?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u + u = -630. Let c = -37 - u. Suppose 0 = -c*n + 5*n + 81. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 207456\/240 - (-1)\/(5\/(-2)). Suppose 11*n = 20*n - j. Calculate the remainder when n is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/10)\/(1 + 0). Let y = -0.53 + 0.33. What is the nearest to y in i, 2, 4\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 651162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-533)\/1599*(-27)\/(-120)*2?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1060*l - 6. Let o(d) = 1059*d - 8. Determine -4*h(p) + 3*o(p).\nAnswer: -1063*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -7\/1663 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 59194042331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 257 = s, 2*k + 4*s + 142 = 4*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 8*m**2 + 13*m**3 - 9*m**2 - m**2.\nAnswer: 13*m**3 - 19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 36. Let q = -31 - -96. Let v = q + -323\/5. Which is smaller: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2031\/(-9) + -14)\/((-8)\/(-6)). Let p = w - -180. Which is the smallest value? (a) -0.5 (b) 6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1294 + -10371\/8. Calculate the common denominator of o and 11\/59.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79926 divided by 13321.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-16)*-4 + 1. Let v be 5 - (y - 0\/(-3)). Let l be (-1)\/(v - 52\/16). Solve l + 1 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(3\/5)*o*o)*o*(o\/o**27)\/o*o)**(1\/42) assuming o is positive.\nAnswer: o**(-23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k. Let t = 48 - 44. Let r(p) = -p + 5*p + 2*p. Let g(s) = 18*s**3 - 70*s**2 - 5*s - 17. Let b be g(4). Give b*x(c) + t*r(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j\/((j*((j*j*j**13)\/j*j)\/j)\/j))\/j)*j\/(j*j\/((j\/((j\/(j*j**(1\/8)))\/j))\/j)*j*j)*((j\/j**(2\/21)*j)\/j*j)\/j**6 assuming j is positive.\nAnswer: j**(1517\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -570 divided by 114?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*7\/280*-12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4704, -3170, -618, 2952, 7540, 13146, 19770?\n\"Answer: 509*g**2 + 7*g - 5220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**11*b)**(24\/7) assuming b is positive.\nAnswer: b**(-216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 3. Let y be s(-3). Let w be y\/14*(-8)\/6. Put w, 4, 1 in descending order.\nAnswer: 4, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 723216 and 126880?\nAnswer: 7232160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 15*b**2 + 17*b - 6. Let o be n(14). Let v(i) = -o*i - 22*i + 74*i. Let q(x) = -x**2. Give v(q(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.5 and 1.41.\nAnswer: -9.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/((-260)\/(-39)))\/(-75).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 44. Let m be -2 - (p - 1 - 68005). Round m to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 6. Let s be t(0). What is the derivative of -4*u + 4*u + s*u - 3*u - 1 wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 193912*r - 3490417. Determine z(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(153)*-6 + (-1*sqrt(68))\/sqrt(4) + sqrt(17))**2.\nAnswer: 5513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5534 from -4750.\nAnswer: -10284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50059, 50057, 50055, 50053, 50051?\nAnswer: 50049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7 = -2*y - 11, 5*r - 2*y - 20 = 0. Is 487 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56889 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or 1\/25?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 46, 48, 50, 52, 54?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 4*o. Let m(x) = -x**2 - 6*x + 2. Let i be m(-6). Let t(y) = 0 + 3 + i*y + 3. Let k be t(-5). Let g(v) = -v. Determine k*g(j) - n(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4248 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -41187, -2, -3, 0, -111 in descending order.\nAnswer: 3, 2, 0, -2, -3, -111, -41187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 33 = -k - 0*k, 0 = 3*k - i + 113. Let n be 57\/k + (-6)\/(-4). Suppose -54 = -6*b - n*b. What is the remainder when b is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00043 to 5 dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8760107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2855 and 374755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242 and 13882?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48*t**2 + 61302*t + 15148962.\nAnswer: -96*t + 61302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**2 - 332564*n + 398679144 = 0.\nAnswer: -84323, 1182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.836, 1, 1\/14, -11.4.\nAnswer: -11.4, 1\/14, 0.836, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3817*g - 3803*g - 1988. Calculate the remainder when g is divided by (-3)\/(2 - 50\/24).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**2 - 7*g + 7. Let d(h) = 5*h**2 + 6*h - 6. Let k(z) = -50*z + 93. Let f be k(2). Determine f*d(b) - 6*m(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/(1\/2) + 1. Let z(l) = 1 + 0*l**3 - l**3 - 9 - 5*l - i*l - 2 + 13*l**2. Let b(f) = -f**3 + 9*f**2 - 5*f - 7. Calculate 7*b(x) - 5*z(x).\nAnswer: -2*x**3 - 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:15 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -492.6 + 647. Round h to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1468 and -19\/8808.\nAnswer: 8808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = -3*r - 5, 2*n + 15 = 3*r + 40 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 379424 - 103.1\nAnswer: 379320.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 0 - 5*t + 4*t - 1 wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -406.1 + 553. Let b = c - 147. Put 0.2, 4, -0.07, b in increasing order.\nAnswer: b, -0.07, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (117 - 108) + 1 + -15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494599.\nAnswer: 7, 70657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 = 3*a + 5*r, -2*a + 3*r + 111 = -2*r. Suppose 38 = 2*i - a. List the prime factors of i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 15 = 2*x, -3*j + 3*x + 28 + 8 = 0. Calculate the highest common factor of 91 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99826 = -2*b - 4*r + 99836, 4*b + r - 27 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 + 112. What are the prime factors of d\/((-1)\/(-7) - (-4)\/21)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -580, -38, 5 in descending order.\nAnswer: 5, -38, -580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3 and 50\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.95 * 0.2.\nAnswer: 1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 325408*f + 976251. What is y(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - -3.6. Let b = 1220.3 - 1218.3. Sort -19\/4, c, b in increasing order.\nAnswer: -19\/4, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 12:20 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j - 6. Let h(u) = 9*u + 18. Let k(v) = 8*c(v) + 3*h(v). Let n be (-12)\/(16\/(-4))*(-10)\/6. Determine k(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30513 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(375) - -1*sqrt(375)*3)*-3)\/(-1*sqrt(40)\/(sqrt(8) - (sqrt(128) + sqrt(128)*1 + sqrt(128) + sqrt(128)))).\nAnswer: -900*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 5:24 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -0.4?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 521510 a multiple of 431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43556 (base 8) to base 4.\nAnswer: -10131232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccllclszzjcllsjclllz. What is prob of sequence clcj?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 21 + 29 = 0. Let b be d\/(-12) - 411\/9. Let a be (-6)\/(1 - b\/(-42)). What is the greatest common factor of a and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**3\/6 - 80*z. Let j(r) = 10*r**2 + 2. What is j(g(o))?\nAnswer: 10*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -112131*s**2 + 51*s + 22. Let o be n(-6). Round o to the nearest 100000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/((j\/j**(1\/5))\/j))\/j*j*j))\/(j\/((j**(10\/9)*j)\/j))*(j*j\/(j\/((j**(1\/14)\/j)\/j)))\/(j**(1\/4)*j) assuming j is positive.\nAnswer: j**(-4117\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**4 - 35*v**2 + 36*v**2 - 2*v**4 wrt v.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(19)*4)**2 + -3)*-5.\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 - 1 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 10:52 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-24)\/(-120)*10\/4. Solve 4*a + 22 = -h*d, -4*a + 0*d = -d + 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 59 = -19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 0 + 1\/3*x**3 - 5\/12*x**4 + 36*x - 1\/2*x**2. What is q(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 7*a = 35*a - 9*o - 6, -2*a = -0*a + 3*o - 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 239.881751 to the nearest integer.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 5*g - 2. Let s be p(-7). Calculate the remainder when s\/(-6) - (-4)\/(-6) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 36*r + 4. Let v be f(9). Let d = v + -175. What is the greatest common divisor of d and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2570352 and -55\/32.\nAnswer: 5140704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - -0.07. Let j = -0.26 - -0.23. Is o less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1547)\/26)\/17)\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 8}. What is prob of sequence hhhk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 129450250 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -19536*k - 117214. Determine g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s - 2656 = -4*t, 0 = -3*t + 3*s + 1998. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 - 3*s**3 + 4*s**3 + s**3 + 206.\nAnswer: 2*s**3 + 429","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 11. Let m(z) = 3*z**3 - 4*z**2 - z - 6. Let d(x) = -4*x**3 + 5*x**2 + 2*x + 7. Let v(j) = f*d(j) + 5*m(j). Factor v(a).\nAnswer: -(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 5*l + 2. What is v(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 - -105. Let h = 36 - w. Calculate the smallest common multiple of 44 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44186435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**2 + g + 2. Let q be x(2). Suppose b - q = -2*c, b - 3*b + 3*c = -21. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 75 in -1\/18, -4, 3, -19, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2323, 4441, 6373, 8131, 9727, 11173, 12481?\nAnswer: 13663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/559390 and -67\/507.\nAnswer: 1678170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1 + (-28)\/(-20))\/(6\/30) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - f - 1. Let n(w) = 2*w**2 + 1. Let s(y) = -3*y - 4. Let g(a) = 2*n(a) + 2*s(a). What is -2*g(p) + 11*k(p)?\nAnswer: 3*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -40*s**2 - 2500*s - 1261. Give z(-62).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -21*v - 0*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/12)\/((-12)\/16)*-12. Solve -y*d + 4*c = -20, -c + 25 = 5*d - 5*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**4 - 4*c**3 - 1669*c**2 + 28*c + 319 wrt c.\nAnswer: -12*c**2 - 24*c - 3338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + j + j)*(113*j - 120*j + 63*j + 1) as t + u*j + b*j**2 and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide (3\/(-1) - ((-1998)\/(-8))\/(-27))*820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -13 (b) 24 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1255 + 1621 = 4*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 575274\/29 or 19837?\nAnswer: 19837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 - 4*p + 1. Let m(n) = 6*n**2 + 3*n - 1. Let k = 5 - 9. Let i(t) = k*m(t) - 3*f(t). Suppose -5*q = 15, w = -0*w + 4*q + 13. Calculate i(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2) - (-21)\/6. Solve -2*b - k*b + 8 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/20 (b) 2\/9 (c) -6 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1443444 (base 5) in base 3?\nAnswer: -1120200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 11:55 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 800\/2560*4\/10.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m = -30. Let x be (2\/m)\/(40\/(-30)). Is -1 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/111 or -1?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337 is divided by 116?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 3*r - 71, x - 3 - 16 = -2*r. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4 = 2*o. Let y be (1 - (-13)\/(-9))\/o. What is the biggest value in y, 0.8, -0.2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332110 (base 5) to base 6.\nAnswer: 125214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + i + 1, 5*i - 19 = -2*h. Let p = -1 - h. Suppose p*r + 2 = 26. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1646 divide 66062385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 986493 and 9338.\nAnswer: 13810902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-13 + 6)\/(-7). Let k(l) be the first derivative of -5 + 0*l + 0*l**2 - 2\/3*l**y. Factor k(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*a + 247*a - 4*a**2 + a**2 - 526*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*c = 13, 0*x = 3*x - 2*c - 4. Suppose -4*a + 222 = -x*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3607 + 4543. What is the greatest common factor of 198 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 56. Solve -p*n - n + w = 0, 5*n - 2*w + 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 560645\/308 or 1819?\nAnswer: 560645\/308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 5*j. Let f(k) = 3*k**2 + 6*k. Let i be (10\/(5 - 3))\/((-2)\/2). Let y(r) = i*p(r) - 4*f(r). Factor y(z).\nAnswer: -z*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**3 - 79*p**2 + 189*p - 111. Calculate w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + (1 - 0))*2. Suppose -o + 2*v = -0*v + 8, -5*o = -5*v + 25. Let y be 0 + (a - o) + 3. Solve 4*w - y*w = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18345?\nAnswer: 3, 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-8))\/(5*7\/140)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -395466 + 19773233\/50. What is the common denominator of p and -1 - (15\/(-8))\/(-1)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 11. Suppose l*h = 5*j + 20, 0 = 5*h - 2*j + 12 - 39. Suppose a + h*a = 12. Solve k + a*k = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 903 - 901. Let y = 71 + -70. Let v = -1 + 4. Which is the third biggest value? (a) v (b) -12 (c) y (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -8, 13, 2, -2, 1, 3 in decreasing order.\nAnswer: 13, 3, 2, 1, -2, -8, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by -283?\nAnswer: 51\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.9 + 2.4. Let y = p - 1.5. Let l = y + 9. Which is the nearest to 0? (a) 1\/6 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*m = -2*i + 61, -42 = -2*i + 3*m. What is the nearest to 1 in -0.5, 0.28, i?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - 37656?\nAnswer: -37665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.03 + -0.03. Let r = 4.8 - c. Let i = r + -0.8. What is the third smallest value in i, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25.6 + -15.7. Let b = -5.6 + a. What is b rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from fffffftttfftt.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643?\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 299448129*h**2 + 967318887*h wrt h?\nAnswer: 598896258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/911370 and 25\/162.\nAnswer: 24606990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 14*t - 173. Determine o(19).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 258. Let n be i(0). Let f = 147 - n. What is the highest common divisor of 45 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010601 rounded to 7 dps?\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31068*n*u**3 - 1622*n*u**2 - n - u**5 + 3*u**2 wrt u?\nAnswer: -186408*n - 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 23 = 233. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.098 - -74.98. Let a = r + -48. Let j = -0.012 - a. Round j to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**5\/60 + 11*l**4\/24 + 3*l**3\/2 + 2*l**2. Let t be (3 - 0) + 20*(-5)\/(-2). Let q = t + -59. Give z(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*((sqrt(1300) + 0)**2 + sqrt(1300))*-5 + 5.\nAnswer: -64995 - 500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6443 - 6442.9999982118. Round k to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253893525*y**2 + 253893525*y**2 + 339*y**3.\nAnswer: 339*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -12, 0, -6 in increasing order.\nAnswer: -12, -6, 0, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 240240\/223 less than 1078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c - 41*c + 42*c + 28*c.\nAnswer: 63*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-108)*-39 - (-2)\/3. Let l be 29*(-135)\/30*u\/6. What is the highest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k = -28*k, -5*r + r = -k - 12. Solve r*x - 2*d = -5, 83*d - 87*d = -16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Let r(z) = -2 - 2*z + g. Give r(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1561764108?\nAnswer: 2, 3, 130147009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21431.2828 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623299.1 litres to millilitres.\nAnswer: 623299100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.7? (a) -61.3 (b) -4 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - k + 1. Let y(p) = -8*p**2 + p + 1. Let x(u) = -6*j(u) - y(u). Suppose 0 = m + 4, -3*m - 16 - 2 = h. Is x(h) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, c: 1, n: 7, j: 1, p: 1}. What is prob of picking 2 n and 1 i?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 34*k - 169. Determine t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1624*w**5 + 637*w**2.\nAnswer: -97440*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2221 = -278*z - 1115 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 9*y**2 - 49*y - 22. Let v(b) = 3*b**2 - 3*b + 7. Calculate the remainder when v(5) is divided by h(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -54. Let n = -0.3 - -0.5. Which is the smallest value? (a) 2\/9 (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a millimeter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 2*o - 22*f + 26*f, 3*o + 9 = f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - g + 15, -2*g + 3*g + 5 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 913103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.3, 291 in descending order.\nAnswer: 291, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*c = -50, -2*q = 3*c - 46 + 80. Let w be (-4)\/6*9\/2. Let i = 0 + 5. Sort w, i, q in decreasing order.\nAnswer: i, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 19*q + 6. Let k be f(0). Sort -4, -1, k, 0 in ascending order.\nAnswer: -4, -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-22 - 2*y**4 + 3*y**4 - 13).\nAnswer: -2*y**4 + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/9, 40, -96, 24\/5, 22?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (0 + (-6)\/27)*-15. Let z = -5 + 3. What is the second biggest value in z, -1\/7, x?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -43454.2 and 2.61?\nAnswer: 43456.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -4115?\nAnswer: -4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 1. Let r = l - -1.2. Which is the nearest to 1\/4? (a) 1\/8 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2606893 to the power of 1\/2, to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -559682*o**4\/3 + 4232*o**3\/3 + 4664014*o**2 - 105800*o\/3 + 200\/3 = 0.\nAnswer: -5, 2\/529, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 26789\nAnswer: 26792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 60 + 452. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 248285210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 4459 = -3995. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207231 and 8248.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27030)\/45 - 4\/(-6). What is the common denominator of 107\/40 and (-2394)\/t - -1 - 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47369 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 21 + 183 = 0. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 + 47. Let s = -89 - y. What is the least common multiple of 2 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -164*o + 131*o + 35*o + 20, -4*o - 15 = -2*i + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 + 2 = 0. Does 4 divide 8\/12 - 16\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 18873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2070 and 21?\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 212 = -4*w - 0*k, 3*w - 160 = -2*k. Suppose 0 = 3*x - h - 1431, -4*h = -3*x + 1388 + w. Calculate the highest common factor of x and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/94 - -227\/1222. Let v = -6.0743 - -0.0743. Which is the fourth smallest value? (a) v (b) -2\/15 (c) p (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125030830 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75728 is divided by 3811?\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**7\/1260 + j**4\/6 + 2*j. Let c(t) be the third derivative of i(t). Let w(k) = 2*k. Give w(c(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1079598, -1079590, -1079582, -1079574, -1079566?\n\"Answer: 8*j - 1079606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45188 + 0?\nAnswer: -45188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1668608 and 45886720.\nAnswer: 91773440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1. Suppose 91*b + 4*r = 94*b - 53, 2*r = -5*b + 71. Let i(y) be the third derivative of -y**5\/20 - 5*y**3\/2 - 11*y**2. What is b*k(o) + i(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613021620 a multiple of 671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1085 + -489. Suppose 3*p = -4*n + 600, 0 = 3*n - p - i + 146. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30120.\nAnswer: 2, 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*u**3 + 3235*u**2 + 30790*u + 1800.\nAnswer: 5*(u + 18)*(u + 20)*(17*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Suppose -4*j - 7 = -9*j + 4*g, -3*j - 4*g + 17 = 0. Let y(h) = 4*h. Calculate j*y(x) + 15*m(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + q**4 + 14*q - 4*q + (4*q**2 - 2*q**2 - 4*q**2)*(2*q**2 + q - q).\nAnswer: -3*q**4 + 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 49, 100, 151, 202, 253?\n\"Answer: 51*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251*-587.\nAnswer: 147337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 8*k**2 - 2*k - 20. Give q(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 182*m - 511. What is j(3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/((-56)\/(-575)) + 2. Let n = j + 39. Find the common denominator of 25\/8 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*q**2 + 213*q**2 - 82227*q**3 + 82228*q**3 as k + p*q**3 + h*q + v*q**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 310 - 336. Let m(w) = -w**3 - 27*w**2 - 24*w + 54. What is the units digit of m(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -48 and 2231840847844.\nAnswer: 2231840847796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-120)\/(-16)*4\/18*-1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 759990*m*p**3 + 283*m*p + 5*m + 5*p**3 - 6*p + 30 wrt p.\nAnswer: 4559940*m*p + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/144317592 and 59\/49188?\nAnswer: 144317592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187191309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.2 (c) 9\/5 (d) -188 (e) -3 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -6 - -32 - 1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78334834 to the nearest integer?\nAnswer: 8851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 56 + 331 = 0. Let a(r) = -2*r**3 - 4*r**2 - 4*r + 36. What is the remainder when u is divided by a(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2507418 + 0*h**3 + h**3 - 2503848 to q*h**2 + d + t*h**3 + k*h and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17456 and 1052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4445, -4452, -4489, -4574, -4725, -4960?\n\"Answer: -3*f**3 + 3*f**2 + 5*f - 4450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1643 or -1?\nAnswer: 0.1643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5202451 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 6, -5, -246 in ascending order.\nAnswer: -246, -6, -5, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21411 (base 5) to base 15\nAnswer: 68b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 214*q**2 - 2337*q - 359. What is d(11)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600 divided by 24.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from vqqqrqqrrqfx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122*r**2 + 113*r**2 - 356*r**2 + 122*r**2 + 19)*(5*r + r - 3*r).\nAnswer: 3*r**3 + 57*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 1, f: 2}. What is prob of sequence yf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -34266, -1680 in increasing order.\nAnswer: -34266, -1680, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 5, 3822, -168, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 18*v**2 + v - 33. Let t be b(-18). Let j = t - -54. Solve -j*a = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3)\/(9*(-4)\/120)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - 24*y**2 + 31*y - 123. Give x(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-85)\/(-34)*-4*(-4)\/20. Suppose 7*v - 2*v = 0. Suppose v = x*q - 13*q + 924. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*g + 48 = -92*g. Suppose 4*b + d - 1029 = 4019, -g = 2*d. What are the prime factors of b?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1549247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42783373 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38 + -1132821?\nAnswer: -11327b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 353*l - 2. Let y(b) = -b**2 - 349*b - 2. What is 2*c(f) - 3*y(f)?\nAnswer: -f**2 + 341*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20931672 bigger than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i + 87. Let q be n(24). What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -415?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*y**3 + 13*y**3 + 20*y**3)*(-y - 15 - y + 4*y) to q*y + w + p*y**3 + i*y**4 + g*y**2 and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 36 + 486*j + 453*j - 934*j - 6*j**2. Let z(x) = 5*x**2 - 4*x - 35. Give -4*b(v) - 5*z(v).\nAnswer: -v**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -106? (a) -2\/3 (b) -0.5 (c) -0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5, -4*b + 7*b = 2*n + 80. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8232200 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43415518 - -43415143.00157. Let c = -375 - b. Round c to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**4 + 1 - 1093*p + p**2 + 1101*p - 2*p**4 - p**4 as y*p**4 + i*p**2 + h*p + q*p**3 + g and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - -0.5. Let r = 0.1 - 0.06. Let n = 0.36 + r. What is the closest to o in n, -1, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1776 and -101\/2856?\nAnswer: 211344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704) - (sqrt(704)*-2 - sqrt(704))*5) + sqrt(704))**2 + -1*sqrt(44)\/sqrt(4) + -5 + -4)*2.\nAnswer: -2*sqrt(11) + 406894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a**3 - 1385*a - 17207 wrt a?\nAnswer: -9*a**2 - 1385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 22. Let z(t) = 3*t - 45. Let f(x) = -7*k(x) - 3*z(x). Let v be f(-14). Factor -87 + 3*y**2 + v*y + 87.\nAnswer: 3*y*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 7 = 30*i - 25*i, -i = 2*o - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 28*o + 46656 = 0. Which is bigger: 1727 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122096 and 288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3*((sqrt(396) - (sqrt(396) - (sqrt(396)*2 + -3))) + -1))**2 + 4*-1*((2*-3*sqrt(396))**2 - sqrt(396))).\nAnswer: 840*sqrt(11) + 42624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 = z + z, -z + 2*h + 6 = 0. Let c = 660 + -647. Suppose -n - 48 = -c*n. Solve n*l = -z*l - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(3 + -1 + sqrt(5)*-1).\nAnswer: -6*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 41*a**2 - 9*a - 35*a**2.\nAnswer: 4*a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480 = 322*d - 164 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/2)\/3*(-686)\/8232?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9822)\/(-150604)*8\/6.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17829 = -874*n + 5593 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-761 + 761 - 408*w)*(2 - 2 - 2 + 2*w**2).\nAnswer: -816*w**3 + 816*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*i + 3*m, i = 2*m + 10 + 4. Let o = 9 - i. Suppose 5*w - 10 = 0, -o*x + 0*w = -4*w - 37. Calculate the highest common divisor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*u - 3 = 0, -17 + 8 = -3*a - 3*u. Suppose -14*z**3 + 12*z**2 + a*z**4 + 8*z + 4*z**2 + 24*z**3 = 0. Calculate z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*q - 12, f + 2 + 0 = q. Let c(l) = 4*l - 21. Let o be c(6). Which is bigger: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 3*q - 15*u + 17*u, 0 = 4*q - 15*u + 89 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.267 + 0.32. Let u = s + 3.947. Let r be ((-5)\/3 + 2)*3. Put -1\/3, u, r in ascending order.\nAnswer: -1\/3, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) - 388\/(-12). Find the first derivative of -32*j - 2*j**2 + 4 + o*j wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21430026 (base 8) to base 3.\nAnswer: -22122200210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15700 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7\/6)*d)**(-3\/8)\/(d**19\/d)**(-17) assuming d is positive.\nAnswer: d**(4897\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -59.7 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 + 4*a**3 + 18*a**2 - 4*a**4 - 2*a - 2*a**2 + a**2 - 6*a**2 in the form g*a + f*a**3 + o*a**4 + y + w*a**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 1:52 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 76? (a) 4 (b) 270.9 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**6\/30 - p**4\/8 - p**3\/3 - 4*p**2. Let z be g(-2). Does 5 divide 10\/6*z\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3 = -11. Let p be v\/6 + (-77)\/3. Is (-4)\/16 + p\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/3850715 and 9\/14740?\nAnswer: 1031991620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 2. Let a = -2 + -3. Let j be t(a). Solve -j*i - 2*y = -y + 14, -5*i - 5*y - 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b + 3*b + 0*b - 2047 + 2048 + 2*b.\nAnswer: 13*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -39*x**2. Let k(f) be the first derivative of -2*f**3\/3 - 27. Give k(d(i)).\nAnswer: -3042*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094 times 3?\nAnswer: 0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78, -42, 32, 162, 366, 662?\n\"Answer: 3*s**3 + s**2 + 12*s - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 1. Suppose y*z - 2*z = -28. Let u be (160*-50)\/(z\/140). Round u to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5837415443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abckacxfafaaacb. Give prob of sequence cxak.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 1\/9*h**2 + 2 + 0*h - 2\/27*h**3. Factor u(k).\nAnswer: -2*k*(k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 8*n - 10. What is c(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -3*d - 8, -5*x + 3*d = -44. What is the units digit of x\/5 - (2 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 6:35 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**4\/4 - 5*y**3\/3 - 4*y**2 - 42*y + 36. Let j be t(7). Solve -5*b + 4*b - 2*r - 8 = j, 3*r = 2*b + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = g - 4*v - 88, 3*v = -2*g + 941. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 67?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 14?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8967 - 1076039\/120. Let q(r) be the second derivative of u*r**5 + 0 + 1\/72*r**4 - 1\/12*r**2 - 1\/36*r**3 - 21*r. Factor q(l).\nAnswer: (l - 1)*(l + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k + 41. Let z be s(-6). Suppose 0 = 2*l - u - 107, z*u = u - 20. List the prime factors of l.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1101 - -411. Is w a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(7) - (sqrt(7) - sqrt(1575)\/sqrt(9)))**2 - -3*(3 + sqrt(7) + sqrt(7))**2).\nAnswer: 144*sqrt(7) + 1144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3. Let c be (-12)\/18*-3*l. Suppose -c*g = g - 6. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**4 - 50*d**3 - 85*d**2 - 40*d = 0. Calculate d.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 1 - -10*2. Suppose -4*y - f = y. Let o(x) = x**3 - x + 1. Let i be o(0). Which is the nearest to i? (a) 3\/4 (b) -0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdkd. Give prob of picking 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {q: 3, u: 13}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 763 - 859. Is c smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2497 or 1.2443?\nAnswer: 2497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - -75. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.81 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k. Let u(a) be the second derivative of 313*a**4\/12 - 3*a + 28. What is h(u(r))?\nAnswer: 313*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 - 4*w + 4. Calculate the least common multiple of m(2) and 14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1130 - 561. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/1*(-15)\/(-2) is divided by (((-32)\/(-6))\/16)\/((-3)\/(-81)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237825*y**2 + 29*y**3 + 237825*y**2.\nAnswer: 29*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3361024129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**(1\/21)*(f\/(f**(1\/4)\/f))**37*((f**5*f)\/(f\/((f*f*f\/((f*f**(-1))\/f*f*f)*f)\/f)*f))**38 assuming f is positive.\nAnswer: f**(24583\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -1006*y + 2015*y - 1018*y. Suppose -q = a - 13, a = -q - q + 18. Solve y*g - 5*g = -a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(52)\/sqrt(4)*1 - (4 + ((sqrt(78)*-2 - sqrt(78))\/sqrt(6))**2).\nAnswer: -121 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 2 + 7\/2*v**3 + 9\/10*v**5 + 0*v - 3\/2*v**2 - 3*v**4. Factor l(h).\nAnswer: 3*h*(h - 1)**2*(3*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*20\/(-2). Let x(w) = -2*w + 6 + 0*w - w + 2*w. Let n be x(g). Calculate the greatest common factor of n and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(3\/2)*m*m)**(1\/49)\/(m**26)**(-17\/3))**(5\/4) assuming m is positive.\nAnswer: m**(216715\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 divided by 1?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52101821 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 + 477 = 203*r + 36. Solve -4*i = -2*h - 309 + 307, -r*h = 2*i - 26 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 42 = 3*l. Suppose -l = -57*k + 50*k. Let w(n) = 2*n - 38. Let o be w(19). Solve k*x - 2 = -o*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(500) + -3 - (sqrt(500) - (sqrt(500) - (sqrt(500) + 1*sqrt(500)*3))).\nAnswer: -30*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0 - 0. Suppose q - 15 = -v*q. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 8. Let l = -30 - -21. Let g = -1.5 + 1. What is the closest to n in 0.4, l, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 6*z**2 - 5*z - 16. Determine h(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30901421 to the nearest integer?\nAnswer: 5559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 0*z + 1\/120*z**6 + 0*z**3 + 0 + 0*z**5 + z**2 - 1\/24*z**4. What is the remainder when 17 is divided by t(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 - 213360?\nAnswer: -213312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/140377?\nAnswer: -3\/140377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221332 + 31201011?\nAnswer: 30313013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18896 is divided by 2362.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3835126, -7670252, -11505378, -15340504, -19175630?\n\"Answer: -3835126*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16083482 is divided by 106?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -23) + -31 - (1 - 17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (245\/6370)\/((-24)\/192)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -178\/6320891?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -15. What is the second biggest value in -4, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0*d)\/(d*d*d**(-4\/3)*d))**(1\/5)*(d**(-1\/5)\/(d\/(d\/(d*d\/(d\/(d*d**6))*d))*d*d))**46 assuming d is positive.\nAnswer: d**(-1546\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 179? (a) 1 (b) -3 (c) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - 583614?\nAnswer: -583623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264472.\nAnswer: 2, 13, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 254372000?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -87*(4 - (-50)\/(-15)). Let p = -33 - q. Calculate the remainder when p is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 3*u**2 + u. Let v be q(3). Let m(a) = -3*a**2 - a**2 + 3*a + 5*a**2 + 5 - v. Give m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63*3\/(-6)*(220\/(-15))\/22.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*z + 3*z. Suppose 5*a = z + 38. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*g + 4*f - 4, -3*g - 2 = -2*f. Solve w = 2*m + 13, 4*w - g*m - 19 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 36*f - 51. Let x(p) = -17*p + 20. Let z(c) = 2*n(c) + 5*x(c). Let v(w) = 15*w. Give v(z(y)).\nAnswer: -195*y - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -222331023?\nAnswer: -222331031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**4\/18 - 2*i**3\/27 - i**2\/9 + 2*i\/9 + 11. Let n(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*p - 78*p + 494 - 63*p.\nAnswer: -193*p + 494","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -843*l**2. Let s(u) = -37309*u**2. Determine s(m(a)).\nAnswer: -26513603541*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 820 + -373. List the prime factors of t.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2006\/13*k**2 + 504006\/13*k + 2\/13*k**3 - 502002\/13.\nAnswer: 2*(k - 501)**2*(k - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 2, 1221 in decreasing order.\nAnswer: 1221, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21317421 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*l**3 + 27*l**3 - 24*l**3.\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -69*g + 2. Let y be n(4). Let w = y + 567. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 12, 5*z = 7*m - 8*m + 5. Let j(x) = -28*x + 36. What is the units digit of j(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -6\/7, -6, -5\/9.\nAnswer: -6, -6\/7, -5\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 + 263*r**2\/4 + 79433*r\/4 + 692865\/4.\nAnswer: -(r - 445)*(r + 9)*(r + 173)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 40. Let m = -46.6 - t. Which is the smallest value? (a) -0.2 (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, 1, 15, -3272\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 76 - (-8 + (-116 - -104))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/(16121\/(-94)))\/(2\/(-112)*-1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36987532643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glglliihghlhiglhli. What is prob of sequence hhgi?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 65\/(-27)*(-12)\/(-16). Let q = u - -5\/9. Let z(t) = t**2 - 6*t + 3. Let l be z(5). Which is greater: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245 (base 10) to base 6.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8790, 17609, 26420, 35217, 43994?\nAnswer: 52745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/189)\/(-1*2\/1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105403427.\nAnswer: 1657, 63611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 103459.\nAnswer: -517295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2472 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**4\/42 - 20*l**3\/21 + 69*l**2\/7 + 1887*l. Factor f(d).\nAnswer: -2*(d - 3)*(d + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280083*y - 17 = 280074*y + 4*j, -40 = -y - 5*j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 480284640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, b: 5, w: 4}. What is prob of picking 3 w?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, 16, -959 in ascending order.\nAnswer: -959, -12, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*j + 131 - 578 + 231 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 43*l = -40*l - 5248, -2100 = -2*s - l. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 1178*v**2 + v + 1496*v**2 - 7159*v**2 to h + t*v + k*v**2 and give k.\nAnswer: -6841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/6063918 and 18\/5053265?\nAnswer: 30319590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 + 1.4. Let a be ((-93)\/(-81))\/((-9)\/54) - (-7 - 0). Sort a, l, -1\/7.\nAnswer: l, -1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8380558 and 1232435?\nAnswer: 41902790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1436\/820 - 4\/(-82). Let c(a) be the first derivative of 0*a**4 + 3*a**3 + p*a**5 + 0*a**2 + 0*a + 8. What is the third derivative of c(h) wrt h?\nAnswer: 216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -688 - -721. What is the remainder when 224 is divided by r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 1501\/14479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -978573679423 and -0.1.\nAnswer: -978573679423.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (4 - (7 + -3)) - (-5 + 4) - 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*q - 7 - 71 = 0, 4*u = q + 363. Let m be 2*(1 + 0) - 0. Suppose t + m - 12 = 0. What is the greatest common divisor of u and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39\/4724441 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 12 + (5 - -2 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 5\/6*l**4 + 17 + 19*l + 0*l**3 + 0*l**2. Let s(w) be the first derivative of d(w). Let q(p) = -p. Calculate s(q(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-56) - 159\/(-1134).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2421, -2416, -2409, -2400, -2389?\nAnswer: -2376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3167, 3155, 3141, 3125?\nAnswer: 3107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -699 divided by 2.\nAnswer: -699\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -2*n - 37, 25*n = 5*w - 7577 + 7347 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q + 3. Let z(o) be the third derivative of -5*o**4\/6 - 5*o**3\/3 - 2500*o**2 - o. Determine 14*j(t) + 5*z(t).\nAnswer: -2*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 756419.29?\nAnswer: 756419.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -548 - -553. Let y = 0.068 - -1.932. Which is the third biggest value? (a) -1 (b) 4 (c) n (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.07, 0.3, 0.2, 2\/13?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 s, and 1 j when three letters picked without replacement from {j: 5, s: 3, p: 1, t: 1, o: 3}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/47000 and 55\/3948?\nAnswer: 987000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 - -184. Let h(u) = u**3 + 4*u**2 - 6*u - 2. Let i be h(-5). What is the second derivative of -6*w**3 - z*w**3 - 6*w + 0*w**i wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h**2 - 105*h - 13. Let c(s) = -2*s**2 - 26*s - 3. Let m be (12\/(-14))\/((-14)\/441*3). What is m*c(z) - 2*o(z)?\nAnswer: -2*z**2 - 24*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -2*a**6\/15 + 24*a**5\/5 - 214*a**4\/3 + 560*a**3 - 2450*a**2 + 40*a. Determine k, given that n(k) = 0.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**4 + 234*l**3 - 2553*l**2 + 7596*l - 5280 = 0.\nAnswer: -88, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12030020323013 - -10?\nAnswer: 12030020323023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 - 2*f**2 - 4*f - 2. Let v be d(-2). Let a be ((-1564)\/(-90))\/((-4)\/(-6)). Let w = a + v. Is w <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-162)\/(-12))\/((-2)\/(160\/(-15))). Find the common denominator of ((20\/z)\/5)\/((-8)\/(-202)) and -21\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9548251 rounded to the nearest one hundred thousand?\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52\/12 + (-2)\/(-3). Suppose -2*v + 0*u = r*u, 0 = -3*u - 6. Let x(y) be the second derivative of -y**4\/12 + 5*y**3\/6 + 5*y**2\/2 - 128*y. Determine x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 536*p + 963. Is w(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-60)\/(-8))\/(0 + -3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -23*k + 1. Let n(m) = 68*m - 2. Give -8*b(d) - 3*n(d).\nAnswer: -20*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -20, 2, -5 in increasing order.\nAnswer: -20, -5, 2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -11. Let m = -10 - -6. Let t(n) = -3*n**3 + 2*n**2 - 1. Let k be t(-1). Sort k, g, m in descending order.\nAnswer: k, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/52 and -109\/2236.\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*g*o - 2*d**2*g + 6*d**2 + 42*d*o + 3*g*o + 9*g with respect to o.\nAnswer: -2*d**2*g + 42*d + 3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f - w - 36 = 0, 5*w + 78 = 2*f. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18 + 2)*(-3 + 2). Suppose t = g + 2. Suppose -3*x - 5 = -g. Solve x*c = 2*c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0 - 0) + 570\/(-75) + 5\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35674 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = 0, -5*x + 4*d = -d - 30. What is the second derivative of 0*w**5 + 17*w**x + 4*w**5 - 24*w wrt w?\nAnswer: 420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76513868.\nAnswer: 2, 19128467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -495*l + 20943 - 1638. Factor 147\/4*t**3 - l*t - 6 - 105\/2*t**2.\nAnswer: 3*(t - 2)*(7*t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 4564253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 536\/(-10) + 4\/(-10). Let l be ((-6)\/9)\/(4\/n). Suppose -63 + l = -3*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - v)*(0*v**3 + 0*v**3 - 2*v**3) - 2 + 2 - v**4 - 678*v**4 - 18368*v**3 - 685*v**4 + 1360*v**4 - 942*v**3.\nAnswer: -2*v**4 - 19310*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792 = -p + 5*u - 304, 0 = -2*p - 4*u + 976. Let t = p + -115. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -16*m + 201. Determine v(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(60))\/sqrt(5))\/(sqrt(100)*-4).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 - -0.01. What is the fourth biggest value in o, -0.1, -1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p. Let v(g) = -2*g**2 + g. Let n(b) = 3*b**2 - 6*b. Let u(d) = n(d) + 6*v(d). Give u(f(t)).\nAnswer: -81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1593.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 18*o - 121. What is the units digit of k(47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*f + 9769 = 2377 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5847.96 - 5848. Put j, 2\/831, 3\/8 in descending order.\nAnswer: 3\/8, 2\/831, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l - 10 = 30*l. What are the prime factors of -1 + 1\/l - 464\/(-4)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 - -62 - (14 - (1 + 0))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -40\/3*z**4 + 16\/3*z**6 - 28*z - 19\/5*z**5 + 2\/3*z**7 + 0*z**2 + 8*z**3 + 2. Let n(m) = 0. What is m?\nAnswer: -6, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6120*a**2. Let r(m) = -30*m - 296. What is r(c(q))?\nAnswer: 183600*q**2 - 296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 7. Calculate the lowest common multiple of 2 and (-5)\/((p - -3)\/8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19227 divided by -663.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15767 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c - 1 - c + 1. Let u(f) = 3*f**2 + 2. Let w(r) = -4*r**2 - 3. Let t(a) = -3*u(a) - 2*w(a). What is b(t(p))?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t**3 - 4*t**2 + 2 + 5*t + 11*t**3 - 3*t**3. Suppose r + 0*r = 0. Let d = r - 5. What is u(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 137*k - 30836. Give x(225).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/3*(-2 + -64). Suppose -4*g + 356 + x = 0. What is the greatest common factor of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 - 13*x**2 - 5*x**2)*(1 - 1 - 2 + (3 + 3 - 8)*(-1 + 3 - 1)).\nAnswer: 88*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4059*w + 33*w**2 + 1912*w + 2147*w.\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + (-35)\/((-280)\/(-96)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 324528712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 214\/(59\/(-118) - (-25)\/6). Which is smaller: 57 or m?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10a + 3e?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*1)\/(sqrt(196)*-2 - sqrt(196)).\nAnswer: -4*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 6588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 16) to base 11.\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.038 - 0.038. Suppose 10 = 5*a, 0 = -4*k - 5*a + 1 + 33. Suppose 2 = 4*v - k. What is the fourth smallest value in -0.5, v, 2\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -70, -144, -248, -382, -546, -740?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-13 - -13 - 13) + -41 + 0.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 47880?\nAnswer: -47876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*d - 58*d - 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92210?\nAnswer: 2, 5, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**6\/60 + 3*w**4\/4 + 484*w**2. Factor z(p).\nAnswer: -2*p*(p - 3)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 2, -0.5, -2\/13.\nAnswer: -0.5, -2\/13, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 311352508 to the nearest 10000.\nAnswer: 311350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2749\/10 + 283. Find the common denominator of -107\/22 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {c: 1, q: 2, o: 1, i: 1, j: 2, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/3*(6 - 63\/14). Let k(d) = 9*d**2 - 6*d + 21. Let n(a) = 5*a**2 - 3*a + 11. Let x(i) = -6*k(i) + 11*n(i). Calculate x(g).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*q - 41*q + 35483032 = 0. Suppose 2*i - 7088913 = 7369571. Let f = i - q. What is f rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:36 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.00214 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mee when three letters picked without replacement from eneeeneeeeemene.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 4.53.\nAnswer: -0.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 281 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 391311702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 72\/(-5)) + 10\/(-25). Sort 5, 8, -4, f.\nAnswer: -4, 5, 8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*m = -8, 6*m - 2475 = -a - 2495 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -429\/35 + 62\/5. Let q = -32 + 34.1. Let j = q + -0.1. Which is the second smallest value? (a) -0.3 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -797363?\nAnswer: 40\/797363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 q when four letters picked without replacement from {q: 3, y: 1, k: 4, z: 6}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/35)\/((-216)\/(-840)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3 + 497*p**2 - 60064*p + 59568 = 0. What is p?\nAnswer: 1, 204, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**2. Let v(l) = -1766 + 1766 + l. Let g(m) = 3*m. Let k(y) = -6*g(y) + 15*v(y). Determine k(a(x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144809 = 349*a + 1125*a + 33941 - 10714 for a.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - -24871803752.\nAnswer: 24871803780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*w - 239 = 127 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -0 - 15. Let t(b) = 2*b - 7*b + 2*b - 261 - 3*b + 0*b. Let o be t(-44). Put -5, 1, o, p in descending order.\nAnswer: o, 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(304) + (sqrt(475)*6 - sqrt(19)).\nAnswer: 3 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**4\/12 - d**3\/2 + 2*d**2. Let i be (-9)\/((-81)\/6)*(-12)\/(-1). What are the prime factors of c(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 5*s**2 - 2*s**2 - 3*s**2 + 8. Let w be b(0). Let q be 114\/w - (-18)\/24. What is the highest common factor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4 - 1342*b**3 + 282828*b**2 - 18895232*b - 38932544 = 0. What is b?\nAnswer: -2, 172, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*l - 1270 = 137*l + 1754 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 368583?\nAnswer: -368591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 117*g**2 - 189*g + 228177?\nAnswer: 234*g - 189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2862855950 rounded to the nearest 100000?\nAnswer: -2862900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Suppose -2*m - 630 = -12*m. Let l(r) = -63 + 92*r**2 + m - 29*r**2. Give l(c(t)).\nAnswer: 252*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21000764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 117641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -10, 2\/9, 447?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 1. Suppose 0*m - 10 = 5*m + 2*l, m + 2*l = -10. Suppose 3*u + m*q - 3*q + 15 = 0, -3*q = 2*u. What is n(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {u: 6, j: 2, t: 4, o: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 103194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8710 and 3316950?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -7 - (3 - (0 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01732 + 0.07732. What is the closest to 0.073 in 4, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 138 = 45*h + 8*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(304) + (sqrt(304) + 2)**2 - ((sqrt(19) + 1 + sqrt(57)\/sqrt(3))**2 - sqrt(19)).\nAnswer: 18*sqrt(19) + 231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-15)*-1*10. Suppose -k + 59442 + 64563 = a*v, 5*k = v + 619983. Let y be -1 - k - (12 + -10). What is y rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5131983*q**2 + 805*q**3 + 0*q + 0*q + 5131986*q**2.\nAnswer: 805*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -42 and -3484094 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 841481, 841511, 841539, 841565, 841589?\n\"Answer: -x**2 + 33*x + 841449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 21719*l - 483. Is q(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866358869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/21*(-2655)\/354.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177 - 156 + u + 333.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 308742017\/723 + -427029. Calculate the common denominator of 37\/7 and n.\nAnswer: 5061","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103 - 6751*s**2 - 47 - 56 to l*s + a + o*s**2 and give o.\nAnswer: -6751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-15))\/((-1)\/10). Suppose -368 = -r*g - 4*g. Which is greater: g or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 7?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*p + 1104, -4*p + 752 = -7*w + 9*w. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 2.09 (c) 15 (d) 0.3 (e) -0.1 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13335 - -2918. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*f*l**5 - 28*f*l**3 + 2*f*l**2*w + 1536*f*l**2 - f*l - 2*l**3*w + l**2*w wrt l?\nAnswer: -3900*f*l**2 - 168*f - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26796 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*m + 60 = 0, -f = -m - 6 + 19. List the prime factors of (f\/2)\/(-1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0. Let s = 1 + c. Let o(a) = -a**2 + a. Let x be o(s). Solve -3*m = -2*m - 5*g - 16, -3*m - g = x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48929564 divided by -4453\nAnswer: -10988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2982159785 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52574337 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**6\/360 - y**5\/120 + y**3\/2 - 7*y**2. Let i(g) be the first derivative of r(g). What is i(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 108550769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from {y: 1, i: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m - 68. Let j = 35 - m. Let x(n) = 231*n**3 + 2*n**2 - 3*n + 2. Let g be x(j). Calculate the highest common factor of g and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -823 - -1679\/2. Which is bigger: v or 16?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(-5) - 8\/40. Let f(x) = 15*x**2 + 15*x - 33. Let i(n) = -n**2 - n + 2. Let v(m) = j*f(m) + 33*i(m). What is the second derivative of v(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 7:48 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.398288 rounded to zero dps?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184698 + 184698 - 2*t + 3*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 883, 993, 1185, 1465, 1839, 2313, 2893, 3585?\nAnswer: 4395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*o - 315*o + 49*o - 357*o.\nAnswer: -760*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*r = 2, 4*t - 2*r = 8*t - 2. Suppose t = -4*s + 80 - 64. Suppose -2*v - 369 = -u, u - s*u = 3*v - 1152. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 573, 481, 241, -225, -995, -2147, -3759?\n\"Answer: -13*v**3 + 4*v**2 - 13*v + 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*z - 2308 + 148 = 0. Calculate the least common multiple of 501 and z.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - -6) + (-27332)\/(-4) + -7?\nAnswer: 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29721, -29883, -30047, -30213?\nAnswer: -30381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 392\/(-133) - ((-16)\/8 - -3).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -902256109736?\nAnswer: 902256109735.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2007 = 3*o. Let h = 3356 + o. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4146*u + 57. What is the units digit of w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -i + 5*i + 10, 4 = -i. Let u(r) = -r**3 - 3*r**2 + r + 4. Let x be u(s). Let p = x + 45. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11144.92 - 11145. Suppose -3*n = -6*n + 3. Let d be (n\/(-2))\/(2\/4). Sort 4, d, t in increasing order.\nAnswer: d, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1045 - 1285*q + 518 + 1400*q + 526.\nAnswer: 115*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 16, 1, 0.06, 2\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2. Let i(u) = -28*u + 17. Let x(a) = 9*a - 6. Let y(r) = 6*i(r) + 17*x(r). Give y(c(v)).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24070563 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 531.115 nanometers?\nAnswer: 0.0000531115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*s - 6*s - s - 29*s + 1.\nAnswer: -76*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -115 + -2?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - -2) + (-2 - -727) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.6 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - v**4 - 2*v**4 + (2*v**2 + 0*v**2 - v**2)*(-10 + 9*v**2 + 10) + 2*v**4 - 3*v**4 - v**4.\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 1. Let a(l) = 5*l**2 - 5*l - 5. Let b(i) = a(i) + 6*p(i). Let h be b(-4). Let d(m) = m**2 - 3*m - 5. What is d(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-87)\/1 + -7 + 7. Let t be (-8)\/36 - c\/27. Suppose m - 8 = t. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393420832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18954?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 136*q**5\/9 - 70*q**4\/3 - 2972*q**3\/9 + 310*q**2\/3 + 2836*q\/9 - 80 = 0. Calculate q.\nAnswer: -4, -1, 1\/4, 1, 90\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(17625\/30))\/((25\/50)\/((-10)\/4))\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -29 = -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 1, g: 1, t: 1, e: 1, m: 2}. What is prob of picking 1 m and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -226 - 102?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + f = -2*c + 46, 3*c + 2*f + 43 = 0. Let v = -10 - c. Let -2*q**5 - q + 4*q**5 - q**v + 2*q**4 - 2*q**2 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 165 - 213 + 143 + 2*z - 4*z + 0*z + z + (0 + 0 - 1)*(z - 4*z + 5*z).\nAnswer: -3*z + 95","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4\/4 + 5*u**3\/2 + 11*u**2\/4 - 90*u + 225 = 0.\nAnswer: -6, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -1073*r + 1071*r - 3*p, -5*r - 18 = -p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 4*p + 3. Let w = -41 - -45. Suppose l - w*g - 3 = 4*l, -3*g - 3 = 3*l. Let d be r(l). What is the nearest to -1\/9 in d, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*b + 3012, -2*b + 3012 = 2*b + 4*o. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7*b - 200 = 0. Let d = b - 31. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - -2*sqrt(3072))**2 + 0 + (sqrt(252)\/(sqrt(12)*1) - sqrt(21))\/((sqrt(84)\/sqrt(2))\/sqrt(6)) + 1.\nAnswer: 13873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10410330343 (base 5) to base 10\nAnswer: -11417598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -855 in -0.5, 5, 38?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9880070 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**5 - 5*z**4 - 3*z**3 + 5*z**2 + 2*z - 4. Let s(l) = -3*l**5 - 5*l**4 - 2*l**3 + 5*l**2 + 2*l - 3. Let r(u) = -4*s(u) + 3*x(u). Factor r(p).\nAnswer: p*(p - 1)*(p + 1)**2*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12943 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40221738 is divided by 1107.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**2 - 2\/3*p**4 - 45*p + 0 - 1\/20*p**5 - 1\/6*p**3. Determine k(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -2\/1179 (b) 16 (c) 1\/5 (d) -0.5 (e) 0.1 (f) 5.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 614344.9 minutes in milliseconds?\nAnswer: 36860694000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -1\/4 (b) -3 (c) 5 (d) 157 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -416 - -419. Is -99 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = 7*c - 151 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 349 and 99613674.\nAnswer: 99613674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108 - -116) + (0 - 0 - 2) - -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381 + h - 11*h - 381 + 762.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 146482914 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*(sqrt(112))**2 - (-2 + sqrt(7))*3).\nAnswer: -3*sqrt(7) + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -674*p**6 + p**4 + 12*p**3 + 5*p**2 + p - 10664 wrt p.\nAnswer: -80880*p**3 + 24*p + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 310*i**2 + 3567*i - 112. Determine d(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**2\/2 - m. Let f be -9*18\/162 - 1\/((-2)\/4). Let g be (-2)\/9 - 20\/(-9). Let c(h) = -3*h + 2. Determine f*c(i) + g*b(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.8 * 1.8.\nAnswer: 14.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42, 72, 98, 120, 138, 152?\n\"Answer: -2*g**2 + 36*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttaaaataaaa. What is prob of picking 2 a and 1 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.6364 + -4.2288. What is p rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 366*a - 33491. Calculate d(189).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a99 (base 16) to base 5.\nAnswer: -322110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 254279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 61, -65, -0.3, 1, 26, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 717.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-232)*(-193)\/(16791\/232).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/18)\/(1\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16618*d*i**3 + 23*d*i**2 - 11*d + 2 wrt i?\nAnswer: 99708*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esnejtneejreejeete. Give prob of sequence ett.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6*u = 80. Let a(n) = n**3 - 8*n**2 - 8*n - 8. Let q be -28*(-1)\/6 + 3\/9. Let j(y) = -y**2 - y - 1. Determine q*a(v) + u*j(v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115565020?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -18*k**2. Let j(t) = -199866*t**2. Give j(h(n)).\nAnswer: -64756584*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + 4*i**4 + 0*i**4)*(-3180*i - 433*i + 802*i).\nAnswer: -11244*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 8*l - 0*l. Solve 0*n - 6*n + 24 = l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/24*31680\/(-5148))\/(((-1)\/65)\/(-1)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124731 - -124729. Let i = -0.21 - -0.2. What is the closest to i in 0.5, 3\/2, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 48\/17*h**2 - 6\/17*h**4 - 2\/17*h**5 + 0*h + 20\/17*h**3 + 0 = 0?\nAnswer: -4, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1089.9372 months?\nAnswer: 0.0908281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.4, -2, 7 in ascending order.\nAnswer: -2, -0.4, -0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3153\/(-6)*(29 - 441). Suppose -81223 = -27*v + x. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**3*y - 97*s**3 - 17*y wrt s.\nAnswer: -3*s**2*y - 291*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/35035584 and -73\/69792.\nAnswer: 35035584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 24 = -3*c, -2*c = 2*c + 12. Let x = 35 - f. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 64?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 2:59 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.43 + -4.63. Let o = u - 0.8. What is the third smallest value in -3, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(40)\/(3*sqrt(10))))\/((sqrt(33) - (-2*sqrt(165))\/sqrt(5))\/sqrt(11)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111.48 centuries in millennia?\nAnswer: 211.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 60?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l - 2*o + 46 = 0, -3*l + 42 = 3*o. Calculate the lowest common multiple of 2 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549*o + 266 = -535*o. Solve -o*f - 9 = 29 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/25 (b) -1\/3 (c) -0.08 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 2. Suppose -2*w = -w - 7. Suppose -w*y = -8*y + 2. Let u be s(y). Solve -4*r + 2 = -u*o - 3*r, 4*r + 3 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:42 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2527642 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000601637 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 5*l**2 - 2 + 3*l + 2*l**2 + 0*l + 2*l. Is r(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2505)\/(-1336))\/(15\/(-320))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/36*-4)\/(-17*(-22)\/1122)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/133 > 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 44 = 12. Calculate the highest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-2 + 7) - 1 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*t = 25, 7*h + 43 = -t - 76 + 75 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 15792?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302 + (3 - (2 + 5)).\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45088156?\nAnswer: 2, 29, 388691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*h - 12 = 0, 4*h - 4 = -k - h. Let w = k + 19. Sort 2, 5, w in decreasing order.\nAnswer: 5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 5*m**2 - 4*m**2 + m**2 - 2 + 2 - m + m + 2*m**2 + (-6 - 7 + 6)*(0*m**2 - 4*m**2 + 5*m**2) as g*m**2 + a*m + d and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 82153471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30773193.\nAnswer: 3, 11, 932521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzz. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -463 - -17a?\nAnswer: -2d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54932*v - 54323*v + 9744 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 75*a = -28*a - 152950. Which is greater: 6117 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7687025.92 to the nearest 10000.\nAnswer: 7690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (1 + -9 + (-5 - -9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -980, -981, -982, -983?\n\"Answer: -f - 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - h. Let o(x) = -10*x**3 - 4*x**2 + 5*x. Let b(l) = -4*i(l) + o(l). Find the second derivative of b(j) wrt j.\nAnswer: -60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -854.1 - -898. Let d = j - 44. Which is the nearest to d? (a) 5 (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(sqrt(5) + 0))**2 + sqrt(25)\/(sqrt(20)\/sqrt(4))*-1 - ((sqrt(60) - sqrt(240)\/sqrt(4))*-2)\/(-1*sqrt(48)).\nAnswer: -sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4671*w - 4675*w = 56 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.165*-6.36025\nAnswer: 1.04944125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244450, -488915, -733380?\nAnswer: -977845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 + 1b23?\nAnswer: 1add","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 4*r - 6*r - 32775524*r**2.\nAnswer: -32775524*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*t - 167 - 49. Solve -4*v - 2*k + 16 = 0, -3*k = -0*v + 3*v - t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, y: 1, z: 1}. Give prob of picking 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 9*k**2 - 10*k - 1. What is the remainder when n(7) is divided by (-14)\/3*(-3)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -9. Sort -2\/5, 1, q in decreasing order.\nAnswer: q, 1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -288.81 - -290. Let y = 0.59 - z. Let m(u) = u - 5. Let s be m(4). Which is the nearest to 0? (a) -5 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - m**2 - 1)*(-2 + 2 - m**2) + 15 + 2*m**4 + 12 - 21.\nAnswer: 3*m**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101826*b**3*x**2 - 76*b**2*z + 10*b*x**2*z - b*z - 32661*x**2*z wrt b.\nAnswer: -610956*b*x**2 - 152*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:18 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/3267 - -3059\/339768. Let k = 26 - 26. Is k < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -370 divided by 74.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*o - 32 = -619*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2430 * 0.054.\nAnswer: 131.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Suppose 2*m = -3*m + x*h + 13, -2*h + 3 = -m. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113188294*d**2 + 173984289*d?\nAnswer: 226376588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -90*v**2 - 1560*v - 21. Let q(h) = 17*h**2 + 312*h + 4. Let z(s) = -4*j(s) - 21*q(s). Factor z(i).\nAnswer: 3*i*(i - 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 10)*(2*t + 1 - 4*t + 3*t)*(2*t + 2*t - 6*t).\nAnswer: 16*t**2 + 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + 29*i**2 - 196. Let b be l(-14). Solve 10*s - 5*s + 10 = b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339 + 79 + 12 + b + 153 + 104.\nAnswer: b + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*t - 3 + 77*t - 124*t.\nAnswer: 6*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 4. Let c be f(9). Let a = -10 + c. Let q be ((-32)\/12)\/(-2*a). What is the second smallest value in -1\/4, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -131, -314, -593, -980?\nAnswer: -1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**2 - 3*c**2 + 0*c**2 in the form p*c**2 + v*c + f and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*x + 72 - 83, -4*h = 2*x - 56. Solve 3*a + 40 = -2*k + x, 5*k = 5*a + 20 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -88a37?\nAnswer: -88a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-21)*s\/s**(-35) assuming s is positive.\nAnswer: s**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, b: 6}. Give prob of sequence bb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3094 is divided by 173.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 9*o + 0 + (5 - 3 - 4)*(-2*o - o + 4*o) - 2*o + 2*o - 2*o - o + 3*o - 4*o + (-1 + 0 + 3)*(-4*o + 3*o + 3*o).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.051 - -9. Is -1\/2 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 10192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 169, 219, 269, 319?\n\"Answer: 50*m + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*r + 6 + 5*r**3 - 3*r**3 - 398*r.\nAnswer: 2*r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 3*d + 5. Let l(z) = -z**2 - z. Let f(k) = -2*a(k) - 2*l(k). Is f(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.08 - 9. Let i = -0.12 - r. Put i, 2, 2\/3 in descending order.\nAnswer: 2, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**2 - 25*c**2 - 621*c + 181*c + 11*c**2.\nAnswer: -2*c**2 - 440*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m*q**2*s**2 + m*q*s**2 + 297*q**2 - 12*q*s**2 - 18*s**2 wrt q?\nAnswer: 2*m*s**2 + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 4*w**2 + 4*w - 6. Let a = 3 + 1. Let q be h(a). What is the greatest common divisor of 70 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 62.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 20 (b) 0 (c) -1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1127 = -39*y + 1486. Let v = 25330082\/377195 - -1\/29015. Let f = y - v. Which is the biggest value? (a) 1\/4 (b) -0.9 (c) 0.4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**2 + 32*s - 10. Let d be f(7). Let t(x) = -3*x + 83. Calculate the remainder when (2 - -1)*(-275)\/(-15) is divided by t(d).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7 = 11. Let a(h) = -h**3 - h**2. Let o(f) = -7*f**3 - 10*f**2 - 5*f - 2. Let s(z) = p*a(z) + o(z). Factor s(m).\nAnswer: -(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2838 and -11580307774?\nAnswer: 11580304936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*n - 160 = -n, -y - 5*n - 28 = 0. Let p = y - -74. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 4, 29.\nAnswer: 2\/19, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(0 - -4) - (4 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/7 - 10*v\/7 - 4 = 0. What is v?\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 8:53 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 5:55 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6085, 12454, 18823, 25192?\n\"Answer: 6369*w - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -128730.68 to the nearest 100.\nAnswer: -128700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 36\/32)\/((-78)\/(-52))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 59 = -5*j. Calculate the remainder when 65 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2050 is divided by 667?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (233\/(-932))\/((((-4)\/(-20))\/((-4)\/10))\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 9. Let j(a) = a**2 + 2*a + 4 - 2 + 0 + 0. Let b be j(-4). What is the highest common factor of v and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u. Differentiate u - 8*v + 2 - 12 wrt v.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2) - 2 - -3. Let d be (0 - 1)\/(-1) + i. Suppose 0 = -d*n + 8*n - 60. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**5\/20 - 2*k**4\/3 - k**3 + 5*k**2\/2 + 52*k - 1. What is r(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-84) + (-13)\/(-7). Let m = 0 + 1. Suppose -x - 5*g + 23 = 0, 0*g = 5*x - 4*g + m. Solve -10 = -2*q + 2*i, -i - x = -s*q + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**3\/5 + 138976*f**2\/5 = 0.\nAnswer: 0, 34744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 22*a + 40. Let w be s(-9). Let g(y) = 2*y**3 - 3*y**2 + 3*y. Let k(x) = x**3 - 4*x**2 + 4*x. What is w*g(d) - 3*k(d)?\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 6:53 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*m + 48 = -18*d, 5*m + 6*d + 16 = 8*d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3148.4 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26286411421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 + (83 - 40) - -78?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6671757 and 873?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**4\/3 - 15871378*d**3\/3 + 62975144033341*d**2\/3 + 41983445226940*d + 20991725258700 = 0.\nAnswer: -1, 7935690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4377125?\nAnswer: 5, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -99 in -1, -3\/5, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 9.191.\nAnswer: -9.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7172858783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/68)\/(416\/(-14144)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10066, -80285, -270628, -641077, -1251614, -2162221, -3432880, -5123573?\nAnswer: -7294282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*v - 16 = 0, 2*n + 0 = v + 11. Let o(d) = d**2 - 8*d - 1. Let q(y) = -2*y**2 + 9*y + 2. Let x(l) = n*o(l) + 2*q(l). What is x(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1964 + -300499\/153. Is 1 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 + 3079*l\/5 + 616.\nAnswer: -(l - 3080)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**22\/j**35)\/((j\/(j*j*j**10*j))\/((j**(-7\/11)\/j)\/j)) assuming j is positive.\nAnswer: j**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 124248, 994099, 3355128, 7952925, 15533080, 26841183?\n\"Answer: 124265*h**3 - h**2 - h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 3*h**2 + 4*h + 17. Let v be b(-3). Sort v, 10, 0 in decreasing order.\nAnswer: 10, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -1, 74.7, -2, 3\/2?\nAnswer: 74.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -18*j**3 - j - j**2 - 13*j**2 + 17*j**2. Suppose -s + 3*z - 7 = 10, -3*z + 12 = 0. Let a be k(s). Round a to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, j: 1, w: 1, b: 1, f: 1}. Give prob of sequence bbzb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + -8. Let t = -220\/3 - j. Which is the third biggest value? (a) 1\/6 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q**2 + 17*q. Let h(u) = -4 + u**3 + 6*u**2 - 6*u - 3 - u + 8*u. Let i be h(-6). Let d(b) = -8*b + b**2 + 5*b**2 - b**2. What is i*d(k) - 6*m(k)?\nAnswer: k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 0 (b) 1\/7 (c) -1 (d) 142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 13*n + 0*n + 0*n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -87, -231, -427, -675, -975, -1327?\nAnswer: -1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26445 divided by 5.\nAnswer: -5289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 59*f - 13455. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = 313*y - 338*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and 25.\nAnswer: 24.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -89882*h + 5549. Is q(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3709*227\nAnswer: 841943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 13*d**3 - d**2 + 2*d + 2. Let v(f) = -39*f**3 + 2*f**2 - 7*f - 7. What is 7*a(x) + 2*v(x)?\nAnswer: 13*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2853.136 grams?\nAnswer: 2853136000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024263 rounded to seven decimal places?\nAnswer: -0.0000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awawcwaswarrasnw. What is prob of sequence rc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9394517 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2601131*r**3 + 1300565*r**3 + 1300562*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 + 23*c + 7. Let i(k) = 5*k**2 + 24*k + 7. Let b(v) = 3*i(v) - 4*t(v). Let r be b(-17). Calculate the highest common factor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/5*630\/(-189)*3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118.3 - 118.7. Let x = -35 - -30. Which is the nearest to 1? (a) p (b) 1 (c) x (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -0.8. Let l be 206\/(-721) + -2*(-1)\/(-7). What is the nearest to o in -0.4, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtkkkxxttcttktxxtxtx. What is prob of picking 2 t and 1 x?\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o + 0*o)*(-2*o**4 + 3*o**4 - 2*o**4) - 5*o**5 - 1 + 1 + (-25*o**4 + 43 - 43)*(20 - 20 - 6*o).\nAnswer: 143*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**3 - 6*b**2 + b + 11. Let u(d) = 2*d**2 - 2*d. Let z(m) = -a(m) + u(m). Let o(x) = x**3 + 3*x**2 - x - 4. Determine -11*o(g) + 4*z(g).\nAnswer: g**3 - g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u - l - 3 = 0, -3*u = 4*l - 14. What is the nearest to -1 in -5, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5107 or 5096?\nAnswer: 5107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Let k(b) = b - 11. Let s be k(9). Put z, s, 0.4 in increasing order.\nAnswer: s, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2089845.9 months to centuries.\nAnswer: 1741.53825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 + -105. Suppose q - 31 = -5*d, 4*q - 67 = -4*d - 23. List the prime factors of 4 + q\/(-2) + o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 + 69348982 + 2*d - 69348982. Let o(i) be the third derivative of -i**5\/15 + i**4\/12 - i**2. Determine -5*o(s) + 4*y(s).\nAnswer: 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6430.\nAnswer: 2, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2291 less than -3014486?\nAnswer: -3016777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-4) - (10\/(-4) - -3). Let k be (5 - 3) + (-12)\/(a - 1). Suppose -q + 163 = k*x, 3*q + 5*x = -q + 592. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p - 15. Let d be k(-4). Let t(z) = 3*z - 26. Let x be t(d). What is the highest common factor of x and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*l = -9, -8*s + 15 = -3*s - l. Suppose 0 = s*u - 12 + 39. Is 1 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 3\/20*b**5 - 7\/15*b**6 + 0*b**2 + 19*b + 0 - 1\/6*b**4 + 4*b**3. What is the third derivative of t(j) wrt j?\nAnswer: -336*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2549553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = 3*t. Let r = 34 - 31. Let c be (-3)\/(-6)*(r + t). Which is bigger: c or -1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13657\/3 + -4552. Which is the closest to -2\/7? (a) 0.5 (b) 0.3 (c) -13 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 81.79 and -529902.\nAnswer: -529820.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, j: 1, c: 7, n: 1}. What is prob of sequence hn?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3676284202 to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29598427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, o: 1, s: 4, p: 1, r: 1, e: 1}. What is prob of sequence ssrp?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 11 = -c + 48, 0 = -2*j - 2. Suppose -103*u = -112*u + c. Solve 0 = 2*q + 2*l + 12, -u*l - 9 = 2*q + 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = v + 2*v. Let f be 0\/(3*1\/3). What is the remainder when 29 is divided by (v - (f + 2))*16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n. Suppose 3*z - 22 - 14 = n. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1011011001111000000?\nAnswer: -1011011001111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = 0. Suppose m = -v - 2*o - 0 + 6, -12 = -2*v - 2*o. Suppose 2*p - v = -p. Solve -n + p*n = -4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.99, -4, -0.1?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0, -3\/7, -1 in descending order.\nAnswer: 0.2, 0, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.2, -1, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, 6, 13, 20, 27, 34?\n\"Answer: 7*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.109743 rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81.9925 + -82. What is c rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74629.56l in millilitres?\nAnswer: 74629560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + m**2 - 3*m. Let j be c(0). Suppose -5*o + 51 = 2*u, j + 15 = 2*o - u. What is the greatest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {j: 1, r: 4, o: 7, w: 6}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k - 49*k = 28*k + 833 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**3 + 95*j**2 - 12*j - 52. Does 5 divide m(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65748.\nAnswer: 2, 3, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 6) in base 4?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8389*f**2 + 19*f - 48. What is the ten thousands digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 175\/250 + (-6)\/(-20). Let c be 2380\/51*18\/7*k. Calculate the greatest common divisor of c and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*f, a + 421 = 4*a - 2*f. What are the prime factors of (-8)\/12 + a\/9?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -83*l**4\/4 - l**2 - l + 67. Let i(u) = -2*u**2. Determine i(r(o)).\nAnswer: -124002*o**4 - 1992*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2 + 1 - l**5 + (-2*l**2 + 0*l**2 + 3*l**2)*(10 + 5*l**3 - 10).\nAnswer: 4*l**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -2. Let p be 1 + 20 + (-3 - l). Let b be ((-300)\/6)\/(2\/(-2)). What is the greatest common factor of b and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8379928 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 186196897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 531833528*g**2 - 80744241 wrt g?\nAnswer: 1063667056*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4.123, 7.09, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02928 to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6246 is divided by 133?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -46256209.643 and 0.0217.\nAnswer: -46256209.6213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**8\/20160 - k**7\/3780 + k**6\/2160 + k**5\/180 + k**4\/8 - 7*k**2. Let z(q) be the second derivative of h(q). Solve z(j) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjjjjvddj. Give prob of picking 3 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 290, -0.03, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t - 7. Suppose -3*i - 4 = -2*i, -i - 19 = -5*k. Suppose k*n + 5 = 4*n. Let j(p) = 6*p + 6. What is n*j(g) + 4*b(g)?\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2064 and 98814?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*j**3 - 102*j**3 - 116*j**3.\nAnswer: 63*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.084 + 1.536. Let v = 1.619999919 - h. Round v to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.49 - -0.07. Round p to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((126 - 120)*(-38)\/18)\/((-5)\/15)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*(2*sqrt(720) + (sqrt(180) + (sqrt(180) + 1*sqrt(180) - sqrt(180)))\/sqrt(9))\/(sqrt(28)\/((-2*-2*sqrt(7) - sqrt(7)) + sqrt(7))))**2.\nAnswer: 564478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -794, -792, -790?\n\"Answer: 2*y - 796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 608 (base 13) to base 9.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6) + 26\/(-6) - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 4*w = 1596. Let j = 291 - w. Solve -5*i - 5 = -5*o, -3*i - 5*o - j = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231120 - -3120310?\nAnswer: 10012030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -71326.01.\nAnswer: 1212542.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312190 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + c + 209 = 0. Suppose -18*b + 2135 = -c*b. Calculate the remainder when b is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 - (0 + 1)) - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13880871 to four dps.\nAnswer: -0.1388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (349 - 98) + -99 + -45?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11.75? (a) 0.1 (b) -2\/9 (c) 3 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008796 rounded to seven dps?\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17606446?\nAnswer: 2, 11, 13, 61561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 310598092 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2. Let x(r) = 33*r - r**2 - 69*r + 22*r. Calculate x(n(u)).\nAnswer: -9*u**4 - 42*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-3)*8*9\/42. Suppose h + 1 = a. Find the third derivative of 7*c**6 - h*c**2 + 14*c**2 + 20*c**6 wrt c.\nAnswer: 3240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j - 143 = 67 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g + 44. Let f be v(-8). Suppose 8*y = f*y + 9100. Suppose 10091 = 5*i - 3*k - 1310, -2*k + y = i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36233912 and 1646996.\nAnswer: 36233912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-4 - -5) + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 931? (a) 2 (b) 0.2 (c) -8 (d) -0.4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3 - 22*l**2 + 204*l = 0.\nAnswer: -17, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((58128\/64)\/173)\/((-3)\/(-12))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 1:15 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(3626\/(-1036)*24\/(-2884))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00785 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*5*(0 + sqrt(2448) + -1)**2 + -4.\nAnswer: -12250 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - w**2 - w. Let p be 54\/81 - (-3)\/9. Let a = 0 - 1. Let v(d) = 2*d**3 - 7*d**2 - 10*d + 3. Let g(o) = a*v(o) + p*m(o). Calculate g(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 125055?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 17*y**2 + 6781*y - 418. Give w(-399).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j = -10*j - 76*j - 714 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 h when three letters picked without replacement from {h: 3, m: 1, o: 1, a: 1, j: 2, e: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {a: 2, x: 1, i: 11, r: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 32\/3, -4, -1226?\nAnswer: -1226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 + 121. Let y = 245 - f. Put y, -1, 1\/2, 0 in descending order.\nAnswer: 1\/2, 0, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 0.4, 19, 3.214?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -43450715.\nAnswer: -43450714.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*v - 34. Let z(k) = k**3 + 11*k**2 + 9*k - 4. Let f be z(v). Suppose -2*q - f*o + 3*o = -207, -3*q - 5*o + 310 = 0. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 4. Let n be w(8). Put 1, 0, n, 4 in increasing order.\nAnswer: n, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 572.3 + -572. What is the third smallest value in -31, n, 27\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 527\/5 + -105. What is the third smallest value in -2\/11, f, 0.3, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 + -210144121?\nAnswer: -210144021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.024 - -0.124. Are f and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. What is the third biggest value in -3\/4, w, 0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (2\/(-4))\/(((-25)\/(-5))\/(-540))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15863\/4 - -3967. Let k = 0.02 - 0.42. Put -4, 5, u, k in descending order.\nAnswer: 5, u, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5512 and 4823?\nAnswer: 38584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16 + (-3)\/((-6)\/(-8)). Let s = 172 - 88. What is the greatest common divisor of o and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 0. Does 22 divide (i\/3)\/(2\/42 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 481\/10 + -95\/2. Which is the nearest to -0.02? (a) 2 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-799996)\/(-10) + (-14)\/(-35). Round g to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m - 216. Let j be a(35). Sort 13, -5, j, 2 in increasing order.\nAnswer: j, -5, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -5, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 26)*((-336)\/(-672) - (-6)\/(-4))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 0 (c) -0.04 (d) -1251\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 3. Let h = 13 - 8. Let v be n(h). Suppose 0 = c - 3*b + 13, 2*c + 3*b = -2*c + v. Sort 3, -3, c in descending order.\nAnswer: 3, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 4, 18, -1, -1074 in descending order.\nAnswer: 18, 4, -1, -31, -1074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x*x**(-9)*x*x)**(-11))**4)**12 assuming x is positive.\nAnswer: x**2112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = 2*y. Let x = -5 - y. What is x rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -4*v**3\/3 - 2*v**2 + v. Let c be z(5). Let j = -11 - c. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*187999\nAnswer: 1315993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1305 or 0.165?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*w**2 - 8*w**2 + 2*w + w**3 + 2*w**4 - 19*w**2 + 34*w**2 - 17 as u*w**2 + m*w**3 + p*w + a + n*w**4 and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (240\/(-90) + -2)*(-2)\/(-4)*-7*3.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142011403 (base 5) in base 14?\nAnswer: 151d24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 0*p**2 - 3*p**2 - p**2. Let t(w) = 97*w**2 + 110*w - 198. Let r(o) = -14*o**2 - 15*o + 27. Let d(n) = 22*r(n) + 3*t(n). Give c(d(u)).\nAnswer: -1156*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f + 80*f - 30*f + 82 = -5*q, q + 159 = -7*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16050669 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1737\/2 - 868. Let x(f) be the first derivative of -1\/10*f**5 - v*f - f**2 - 10 - f**3 - 1\/2*f**4. Factor x(y).\nAnswer: -(y + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 71. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 4, g: 2, m: 1, c: 1}. Give prob of picking 1 c and 1 b.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*p + 194*p = 309*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -70479, -70469, -70453, -70431, -70403, -70369?\n\"Answer: 3*y**2 + y - 70483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 1064?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) 5 (c) -3\/19583 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-5 - (1 + -3)). Suppose 0 = -3*w - 12, m*q = 3*q + 5*w - 40. Solve -5*f = -q, -16 = 4*n - 5*n - 4*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -2\/3 (b) 0.4 (c) -4 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 984 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -12\/19 (c) 1\/4 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 5*x**2 - 5*x - 1. Let f be y(6). Let h(w) = 2*w**2 + w + 9. Let d(a) = -2*a**2 - 5 + 3*a**2 - 2*a**2 - a. Determine f*d(m) + 3*h(m).\nAnswer: m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 28*a + 34*a + 12 = 0, a + 2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1652 + -2?\nAnswer: -1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/70 and 107\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -158*u - 5296. Give n(-34).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*u**2 + 11*u**2 - 10*u**2 + 6*u + 2*u**3 + 0*u**3.\nAnswer: 2*u*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 37.64. Let b = x + 1.64. Let s = -0.5 - -0.4. What is the biggest value in b, s, -3, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/13? (a) -21 (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 126, 170, 214, 258, 302, 346?\n\"Answer: 44*h + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - p = -290, -3*p = -0*p - 6. What is the remainder when o is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -45, -85, -139, -207, -289, -385?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1155, 4213, 9181, 16059, 24847?\n\"Answer: 955*k**2 + 193*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 0, 7*n = -b + 3*n + 221. Suppose 0 = -9*m + 11*m - 10. Suppose r + 207 = 6*r + 4*o, -m*r + o + b = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 228.57 - 232. Let x = 50.13 - 62. Let i = x + c. Round i to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 3*q**4 + q + (18*q**2 - 23*q**2 + 4*q**2 + 234*q**4)*(2 - 1 - 2).\nAnswer: -231*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 541*h**2 + 585*h**2 - 1071*h**2. Let f(j) = 4*j**2. Determine f(n(y)).\nAnswer: 12100*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1602 divide 1332897065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 11*s**2 + 29*s - 3. Let c be i(-7). Suppose 0 = 3*y - 2*y + 3. Sort y, c, 3 in ascending order.\nAnswer: c, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/1489 - -1495\/4467. Let l = 1 - 1. What is the nearest to -2\/5 in -2, l, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2790 and 14114835?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:00 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 108, 87, 68, 57, 60?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**3 + d**2. Let i be x(1). Let r(b) = -b**3 + 5*b**2 + 8*b + 5. Let m be r(6). Let a = m + -15. Solve g = i*g + 4*y + 5, 0 = -4*g + a*y - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 g when three letters picked without replacement from gkkakkgkilnagak?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - l = -5, -l = 17*g - 22*g + 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.059 or -217.5?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 13. Let i(k) = -6*k - 66. Let b(m) = -4*i(m) + 21*r(m). Calculate b(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 + -1 + 0)\/1. Let f = t + -4. Suppose 0 = f*k + k - 228. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1261970*16\nAnswer: -20191520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58494855047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w + 17 + 31 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/180 + z**4\/72 - z**2 + 2*z. Let l(y) be the first derivative of p(y). Find v such that l(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/(-26))\/(47*3)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -10*w - 17. Let x(i) = 9*i + 17. Let a(q) = 5*j(q) + 6*x(q). Differentiate a(r) with respect to r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 19 - (37 - (45 - -35))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*k**5 - 3420454*k**3 + 716*k**2 - 11595*k + 3.\nAnswer: -2160*k**2 - 20522724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - -13 - 12*(-6)\/(-9). Let d(v) = 7*v**2 + 3*v + 1. Let b be d(4). Suppose c = -l + b + 3. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - 48. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75616 + 75616 + 2575*j**2 + (-6*j + j + 3*j)*(2*j - 3*j + 4*j).\nAnswer: 2569*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u**3 + 7397*u**4 - 1 - 7393*u**4 + 5*u**3 - u**2 in the form t*u + i*u**4 + w + c*u**3 + n*u**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h - 40. Let w be d(18). Sort -3, 4, 17, w.\nAnswer: w, -3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfrhrafahffna. Give prob of sequence hf.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -817*f**2 - f - 14?\nAnswer: -1634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-30) - (666\/162 + 21\/(-35)).\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -61.6 and -5370248.4.\nAnswer: -5370310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 4*x - 82, -26 = -y - 9*x - 44 + 35 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 39*f**2 - 37*f + 129. Let d be y(-40). Suppose -d = 15*a - 54. Solve -a*k - k - 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(7) + 0)*-3.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64241 - 145?\nAnswer: -64406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86099 in -4, 0.56, -1\/5, 0, 1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*z + 7138 = -1510. Is 233\/5 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 4. Suppose -k = c - 6, -2*c + 4 + 2 = -k. Let n be p(c). Suppose -4*o + 67 + 61 = n. Calculate the greatest common divisor of o and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.6 + 15. Put -3\/8, j, -0.4 in increasing order.\nAnswer: -0.4, -3\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 311024?\nAnswer: 311033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 73*n**8\/8 + 427*n**4\/12 - 669*n. What is the third derivative of w(q) wrt q?\nAnswer: 61320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2253 = -3*t + 19732, 2*t + a - 14655 = 0. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -1112.92.\nAnswer: 1123.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*l - 3*o, 4*l - 57*o = -59*o + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**4\/12 - x**3\/6 + x**2\/2 + 2*x - 97. Let h(i) = 0 + 6*i**2 - 4 + 0 + 0. Give -h(v) - 5*m(v).\nAnswer: -v**2 + 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.14 - -0.26. Let h = 0.6 + y. Let l be ((95\/30)\/(-19))\/(2\/(-6)). What is the third biggest value in -2\/11, l, h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/6 and 101\/10394?\nAnswer: 31182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 32*t - 157. Let k be m(-26). What is the remainder when 69 is divided by (k + 73\/3)\/((-48)\/(-72))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -820 by -164.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*l - 5. Suppose l*s + 1 = 15. What is the highest common factor of 21 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476058 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.5 + -26.5. Let u be 10 + -10 - (10\/(-8) + 2). What is the smallest value in 1\/15, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11590 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: Which is smaller: -4\/385 or 1?\nAnswer: -4\/385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -47*m - 114. What is the hundreds digit of c(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.9 - 344.9. Let a = s - -336. Sort -3, -4, a in descending order.\nAnswer: a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39474\/1457 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35981.288 times 0.2?\nAnswer: 7196.2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5 - 550*q + 1110*q - 553*q - q**2. Calculate t(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**4 + 3*p**4 - 36*p**4 + (4*p + 0*p - 3*p)*(0*p**3 + 3*p**3 - 2*p**3))*(-3 - 47 - 43 + 12) as t*p + u*p**4 + v*p**2 + f*p**3 + b and give u.\nAnswer: 2754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/20 + 5*j**4\/12 - 13*j**2\/2 - 8326*j. Let p(y) = y**3 + 6*y**2 - 12. Give -5*i(c) + 4*p(c).\nAnswer: -c**3 - c**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 387549 and 891616?\nAnswer: 136417248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -236 and -60 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8408 or 193404\/23?\nAnswer: 193404\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4081750441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7224\/23 greater than or equal to -314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 - 153. Let q = -42.9 - m. What is q rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 2*f + 22. Is 22 a factor of i(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*g - 2520 = 92*g. Let r = -345 + g. Solve x - 5*u + 2 - 7 = 0, -3*x + 5*u + r = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*c = 20238 + 2480, -4*w + 45456 = -c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y - 2 + 160*y**2 - 157*y**2 - 5*y**3 + 0*y + 4*y**3 in the form o*y + d + l*y**3 + v*y**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 + 103. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40055515 + 2?\nAnswer: 40055521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 44120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/227, 1\/5, 7, 0.5, -1\/2 in descending order.\nAnswer: 7, 0.5, 1\/5, 2\/227, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.5518193 rounded to 1 decimal place?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -959*h + 318*h + 322*h - 109*h**3 + 319*h.\nAnswer: -109*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330252 and 58284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7442 - 5*y**3 + 3*y**3 + 3*y**3 + 124*y**2 + 513*y + 3452*y = 0. What is y?\nAnswer: -61, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2 + 4. Suppose 2*l - 21 = 4*y - y, -26 = -x*l + 4*y. Suppose -4*f + 29 = -4*j - f, -l*f - 6 = 3*j. Sort -1\/5, j, -0.1.\nAnswer: j, -1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t + 0*t - 4*t)*(3 + 1 - 3) + 2*t - 2*t - t - 5 + 12 - 1253*t + 6 - 13.\nAnswer: -1252*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 - 2 + 2*n**4 + n**4 - 4*n**2 - 2*n - n**2 in the form x*n**3 + o*n + h*n**4 + b*n**2 + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 149*f + 143*f - 292*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - 2*b + 0*b)*(0 + 0 - 1) - b + 1 - 1 - b - 2*b + 2*b to c*b + v and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 - 3\/6*4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175148882 and 99850?\nAnswer: 3994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70033 + -766846\/11. Let l = h - 321. Calculate the common denominator of 115\/28 and l.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (54 - 3 - -2) + (-43 - (-14 - 18))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 12325*x. Let o(q) = 316*q. Give 3*b(a) - 116*o(a).\nAnswer: 319*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (2 - 9)) + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -313 at most 1.617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -18*w**2 + 9*w + 3. Let q(l) = -90*l**2 + 50*l + 16. Calculate -22*j(s) + 4*q(s).\nAnswer: 36*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1001505 + 1001505 + 2437*d to the form s*d + b and give s.\nAnswer: 2437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.6 + -29.218. Let m = s - -0.118. Which is the nearest to -0.1? (a) 0.04 (b) 0.03 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -59. Suppose -c*n = -348 - 226. Let k = n - -3. What are the prime factors of k?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145b9b0 (base 14) to base 4\nAnswer: 211302031312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 1. Let s(u) = -u + 2. Let b(y) = -4*p(y) + 3*s(y). What is b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.133 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6352 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 5*p**2 + 5*p - 2. Let z be d(-6). Let h = -3 + 3.1. What is the closest to h in 1\/8, 0.4, z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 52073283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -0.084\nAnswer: -8.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-15) - 84\/(-10). Let t = a - 8. Let h be -1139*4741 + t - 1. What is h rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0169 + 0.1831. What is the closest to 1 in r, -0.5, 149?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -1075*l**4\/4 + 651*l + 1183. Find the first derivative of j(k) wrt k.\nAnswer: -3225*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13908.\nAnswer: 2, 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29314 smaller than 29314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3153594 is divided by 3141.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99963\/26 + -3848. Find the common denominator of d and -109\/14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 427 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9*b**3 + 6*b + 8. Let a(j) = -26*j**3 + 17*j + 23. Give -6*a(f) + 17*x(f).\nAnswer: 3*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7038 and 6762?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 182 - 223. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, m: 2, c: 1, a: 2, j: 11}. Give prob of sequence jj.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (-4)\/1 - (11 - 25). Let r be (30\/9)\/((-10)\/15). Let a be 4\/(60\/(-9))*r. Solve 0*s = -a*s + n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + (0 - -11) - 11. Which is greater: s or -12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 348 = 5*d - 595, -d = -4*i + 973. Calculate the highest common factor of 176 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 8. Let y(w) = -5*w**2 + 2*w + 1. Let h be y(p). Let c(b) be the third derivative of b**6\/120 + 7*b**5\/60 + 7*b**4\/24 + b**3\/6 - 16*b**2. Give c(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/91035 and 8\/4131.\nAnswer: 2457945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + 161 + -68 - -68?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 82\/3 + (-3)\/9. Let j = 2\/3133 + 5541\/3133. What is the common denominator of 6\/3 + (-57)\/y and j?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32405*a + 3*a**2 - 2*a**3 - 5 + 64810*a - 32408*a + 9*a**4 to j + d*a + b*a**4 + z*a**2 + w*a**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5943 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 100842758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 3, h: 1, g: 2}. Give prob of sequence sg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107.21 + -102.21. Let h = -0.1 - 0.02. Is h greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11154411 + 304?\nAnswer: 11155115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 280257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**7\/735 + h**6\/140 - h**5\/210 - h**4\/28 + 111*h**2. Factor f(v).\nAnswer: 2*v*(v - 1)*(v + 1)*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/9 and (-73)\/(-35)*(-25)\/30.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1683 - 1685. Let h(w) = -w**3 + 16*w**2 + 18*w - 17. Let k be h(17). Which is the third biggest value? (a) k (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-138)\/(-30) + -5)*-5*1. Suppose 4*t + 162 = 2*k, 5*k - 135 = -h*t + 246. Calculate the greatest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2011486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698007 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 179 * 0.06.\nAnswer: 10.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 5782060 = -1499940. What is l rounded to the nearest 10000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*d + f + f, -3*f = 3*d - 15. Let c(t) = -2*t. Let k be c(2). Sort k, d, 4 in descending order.\nAnswer: d, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 3. Suppose 9*f + 15 = 6*f. What is the tens digit of b(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 130?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/4 - (-1)\/4. Let g = -16 + 20. Let x = g - 2. Which is the smallest value? (a) 0.4 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1118 + -527. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 0) + -3 - -4. Suppose -z*v - 3*v = -24. Suppose -v*u = 3*q + 204, -5*u + 4*q - 133 - 91 = 0. What is the smallest value in u, -0.3, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11713 is divided by 93.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000821 to 5 dps.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 22?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-8)*1*-8. Let z = q - -11. Suppose -z*v = -20, -r + 10 + 3 = 2*v. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 163*v**3 + 1294*v**3 + 248*v**3 - 1 + 169*v**3. Let u be n(1). Suppose -u = -5*m + 3*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634335 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**4 + 297*j**3*s + 5*j**2*s + 26*j**2 + 5*s wrt j?\nAnswer: 48*j + 1782*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4) + 7 + -4 - -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*a - 5*s + 35, -s - 22 = 5*a. Does -6 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -39, -20, 7, -1, -15 in increasing order.\nAnswer: -39, -20, -15, -4, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*x = -v - 55*x - 101*x - 9, v - 444 = -141*x - 27 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3593572 is divided by 505.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-40))\/9*(-236)\/(-885)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 - 5)*(1 - 0). Suppose v - x = i, -4*i - v + 0*v + 13 = 0. What is the first derivative of 0*l**2 + 0*l**2 - 9 + l**2 - 5*l**i wrt l?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 245100, 245099, 245098, 245097, 245096?\n\"Answer: -b + 245101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-6))\/((-2)\/9). Let u = 4 + 0. Suppose u*x + g = 6*x. Solve 2 = y + m - 1, -x*y - 5*m = -11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 13 - 75 = 0. Suppose 5 = 4*o + 2*t - 13, 0 = -5*o + 5*t - 15. Suppose 0 = o*h - q + 10. What are 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 prob of sequence iksx when four letters picked without replacement from {k: 3, x: 1, s: 3, i: 1, p: 3}?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132\/7*f**2 + 136\/7*f**3 - 134\/7*f + 132\/7*f**4 + 0 - 2\/7*f**5 = 0. What is f?\nAnswer: -1, 0, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33670 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -3 (c) -0.16 (d) 0.0534\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 200?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*k - 43*k - 39*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:23 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (84\/(336\/(-24)))\/(2\/(-1)). Let c(f) = -6*f**3 + 2*f**2. Let n(s) be the first derivative of -s**4\/4 + s**3\/3 + 4. What is k*c(b) - 6*n(b)?\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(5\/6)\/a*a**2*(a*a**(-16)*a*a*a)\/a*a**11*a assuming a is positive.\nAnswer: a**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*(-6)\/16)\/((-15)\/8). What is the nearest to -2\/5 in -3\/4, 1\/18, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1073200 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -4*s - t, 6*s - 2*s - 136533*t + 4 = -136529*t for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 790\/4*19\/380 and -21\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3672826 years in decades?\nAnswer: 0.03672826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(12)*2 + sqrt(1728) + 3)**2.\nAnswer: 24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.139*-88.\nAnswer: 12.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 205253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*s - 110*s + 45*s.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -28*f - 24. Let y be g(-1). What is q in 0 + 2\/7*q**3 + 0*q + 0*q**2 - 2\/7*q**y = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 - 7*s**2 + 5*s - 60. Let z(r) = r**3 - 2*r**2 + 2*r - 29. Give 2*f(p) - 5*z(p).\nAnswer: p**3 - 4*p**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 3210?\nAnswer: -320e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 (base 9) in base 8?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -1\/120*r**6 + 1\/60*r**5 + 1\/12*r**4 - 21\/2*r**2 - 20*r + 0 + 0*r**3. Let x(d) be the first derivative of w(d). Factor x(t).\nAnswer: -t*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 + 28*d\/5 - 6.\nAnswer: 2*(d - 1)*(d + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 19*l**2 + 150*l - 2. Give h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 5*t, 13*y - 17*y + 15 = 5*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -24. Let i = -106.2 - -94. Let t = z - i. Which is the closest to t? (a) -2 (b) 4 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2 - 14) + -1)*-1. Let q(i) = -98*i + 2365. Let x be q(24). Let z = -2 + 7. Solve 2*s = -3*u - x, l = z*u + 42 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 11*g + 21. Determine l(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104\/33 - -661\/66. What is the common denominator of 73\/2 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 4*b**2 + 3*b + 162. Let r(t) = 7*t + 2. Give -3*r(k) + 2*s(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (2*(sqrt(52)*-1*-4)\/(sqrt(4) + sqrt(64)*-1))**2).\nAnswer: 1592\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**3 - l**2 + 1. Let z be j(-1). Let h be (-1)\/(2\/(-3 - -1)). Suppose -3*r - 33 + 45 = 0. Put r, h, z in descending order.\nAnswer: z, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97234 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + 14 + -20 + -20?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*z + 4 + 10*z - 24*z to the form q + b*z and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rfbrrdfdvfvf.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-912)\/(-72))\/((-4)\/6). Let m = -12 - g. Suppose 5*a - 27 + m = 0. Solve 0 = -0*k - a*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**2\/11 - 6894*l - 493090\/11 = 0.\nAnswer: -13\/2, 18965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nineteen quarters of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 20 = -2*j, -6*j + 28 = 3*l - 2*j. Let v be (-21)\/9 + 12\/l. Which is the closest to 0.1? (a) -7 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.72846 and -65.\nAnswer: -47.3499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312611 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1)*((-216)\/(-30) - 7).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 9*m - 16. Let p be i(6). Let k(g) = -24*g - 17. Let o(t) = -t. Let c(a) = p*o(a) - k(a). Differentiate c(d) with respect to d.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((99\/36)\/(-11)*-30)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 25 - 19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20545673 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-1 + -5) - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 1379, 548, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/259 and -32\/9023.\nAnswer: 333851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 197*i**2 - 197*i**2 + 99*i**5 - 2*i**5 - i**5 + 2*i**5 - i**5 + i**5 + i**5 + (-3*i**3 + i**3 + 0*i**3)*(-1 + 1 + i**2) - 4*i**5 + 2 - 2.\nAnswer: 93*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhp when four letters picked without replacement from hhhhphhhhhhpphhhph?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -9*v - 145. Let j(t) = -t**2 - 17*t + 68. Let d be j(4). Let i be q(d). Let s(y) = -y**2 - y + 1. Let r be s(2). Put 22, r, 5, i in descending order.\nAnswer: 22, 5, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41600\/240 + (1 - (-1)\/(-3)) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/4 (b) 0 (c) 1\/6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5 = 2*d + 2*c, 4*c - 16 = -4*d. Solve d*u + 12 + 4 = -l, -l - 8 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(5 - 8))\/(-2). Let m(h) = -3 - 11*h - 1 + k*h + 4*h. Let l(s) = s + 1. Let x(w) = -4*l(w) - m(w). Let r(q) = q**2. What is r(x(c))?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9921a (base 11) to base 3\nAnswer: -21022112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-930)\/4)\/(7\/(-14))?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4072\/7, -15, 0.4, -1\/5 in ascending order.\nAnswer: -15, -1\/5, 0.4, 4072\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b69 - -9b?\nAnswer: 11048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 380487157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) -0.13 (c) 4\/5 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 51 - 1?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17626015723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(2\/(20\/90) + -7). Let w(y) = -2*y**2 - 8*y - 2. Calculate w(f).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 13) to base 3.\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -156 + 101?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkkx. What is prob of sequence fk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*j - 2 = 0, 3*g = -0*j - 3*j + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 4 - 4 - 5*q + 3*q + 4*q + (0 + q + 0)*(-2 + 1 + 0))*(-2*q**4 - q**3 + q**3) + (6*q**2 - 4*q**2 + 0*q**2)*(1 + 4*q**3 - 1).\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1038*k - 419. Let w(s) = -s. Give z(w(u)).\nAnswer: 1038*u - 419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2785 - -737. Suppose v = 4*k - 770. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 5. Let j be v(7). Suppose 3*o = -j + 24. Suppose h + o*q = 16, -2*q + 1 = -5. Put 5, h, 0 in descending order.\nAnswer: 5, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from {u: 2, i: 18}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13068.696 months to millennia.\nAnswer: 1.089058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63259073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 11:14 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*g = -59*g + 1986 + 3658 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 + 3 - 3) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 1*sqrt(304) + 5 - sqrt(304))**2.\nAnswer: 40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**9\/15120 + y**8\/1680 + y**7\/420 + y**6\/180 + 2*y**5\/5 - 8*y**2. Let b(w) be the third derivative of j(w). Factor b(k).\nAnswer: 4*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 4:01 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 m, and 2 a when four letters picked without replacement from {a: 2, d: 7, m: 3, o: 3, i: 2, l: 1}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*i**4 + 296*i**3 + 16*i - 546973.\nAnswer: -68*i**3 + 888*i**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -2*l + 1150*f - 1146*f - 15, 66*f - 66 = 0 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4402826641.\nAnswer: 787, 5594443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 smaller than -13801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.07, -5, 3.7, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 95.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -8 - (14 + -5) - -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/70 - 308\/20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - j**2 - 2*j - 1. Let y be p(-1). Suppose -y = -x - 3*t, x - 2*x - 2*t = -2. Which is the third biggest value? (a) -1 (b) x (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2608, 10331, 23178, 41149, 64244, 92463?\n\"Answer: 2562*h**2 + 37*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 9:45 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = -22. Let v = i + 47. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -35*p**4\/26 + 2*p**3\/39 - 14*p - 24. Factor b(t).\nAnswer: -2*t*(105*t - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 2*x - 2. Let q be y(-2). Suppose -l = -0*l - 2*l. Suppose t - 5*i = 21, l*i - 5 = 3*t + 2*i. Is q at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0721 + -301198.656?\nAnswer: -301198.5839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*b**3 - b - 2 + 96*b**3 + 4*b in the form d*b**2 + x*b + z + t*b**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s - 106*s + 271*s = -360*s + 21880 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:07 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -418*i - 16. Let m(w) = -w - 3. What is -5*m(z) + y(z)?\nAnswer: -413*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 2846.\nAnswer: 17076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 221454 = 3*q, -4*s + 10*q - 12*q + 295236 = 0. List the prime factors of s.\nAnswer: 2, 3, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 7 = w, 8*o + 2*w + 12 = 11*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**12))\/o)**(-3\/22) assuming o is positive.\nAnswer: o**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/10 and -6\/3109.\nAnswer: 31090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**2 + 128881*m\/11 = 0?\nAnswer: 0, 128881\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56689 and 913?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.008 - 3.008. Put 1, j, -0.1 in descending order.\nAnswer: 1, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**(-9))*f**(2\/9)\/f*(f**(3\/2)*f)**(-18\/13) assuming f is positive.\nAnswer: f**(557\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 9. Suppose -199 = o*k - 59. Let t be (-10)\/4*28\/k. Calculate the greatest common factor of t and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - (-16)\/(-40).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1352*x - 6. Let u = -106 - -105. What is the thousands digit of c(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -239 + 242. Solve 0 = -3*y - 12 + m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnbbnxnnnnbnnn.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 105\/19, -2\/5, -0.1, 0.2, 2\/13 in ascending order.\nAnswer: -2\/5, -0.1, 2\/13, 0.2, 105\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -46630885 divided by -6763\nAnswer: 6895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -64*g - 63. What is the smallest common multiple of 912 and p(-1)?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2435072 and 625824.\nAnswer: 1161529344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 + 4*n + 6. Let r(x) be the first derivative of x**3\/3 + x**2\/2 - 4. Let s(y) = 4*r(y) - z(y). What is the derivative of s(l) wrt l?\nAnswer: 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3614550.78+-4\nAnswer: -3614554.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5 - 3*z + 4 + 1. Let d(t) = -t**2. What is d(b(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000641333126 rounded to five dps?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**3 + 8*q**2 + 4*q + 8. Let b be h(6). Suppose -9*i = -7*i + b. Round i to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(sqrt(252) + -5*(sqrt(252)*-2 - sqrt(252)))\/(1*sqrt(324) + sqrt(324)))**2.\nAnswer: 475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(8\/146)*21*70\/(-735)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22589900 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from {f: 1, o: 1, b: 3, m: 1, y: 1, u: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 38 + 55*g**2 - 44.\nAnswer: 55*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 812.111373 rounded to 1 decimal place?\nAnswer: 812.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -277*w + 6872. Let o be s(24). Solve 54*q = 22*q + o for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 25153*m - 100619*m - 1 + 25156*m + 25157*m + 25152*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 11*s - 241 = 9*s, 4*s - 243 = -r. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17638848 is divided by 191?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1356 - -1370. Is i less than or equal to 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2008)\/112950 - (-4)\/(-18))*(2 + (-364)\/12)?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -1008, -1888, -2768?\nAnswer: -3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12*l**2. Let u(p) = -544*p**2. Give u(y(q)).\nAnswer: -78336*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnqnnqnnnnnnnq. Give prob of picking 3 n.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 700257, 1400513, 2100769, 2801025?\n\"Answer: 700256*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**2*y**4 - 2*t**2*y**2 + 10*t*y**5 - 46*t wrt y.\nAnswer: 72*t**2*y + 600*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*c + 4, 0 = -3*f - 2*c + 38. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137467368, 137467362, 137467344, 137467308, 137467248, 137467158?\nAnswer: 137467032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 629748 and 3822.\nAnswer: 8186724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*f - 13*f - 52 + 69*f.\nAnswer: 97*f - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, -2, 2\/7, -0.05.\nAnswer: -3, -2, -0.4, -0.05, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*c**5 - 42*c**5 - 57*c**5 + (0 + 0 - c**3)*(-3*c**2 + 0*c + 0*c).\nAnswer: -68*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 6422.6988 to the nearest integer.\nAnswer: 6423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 7*f - 3 = 0. Let v(k) = 4*k**2 + k - 1. What is the units digit of v(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 384 + 144*b + 15505*b**2 - 3*b**3 - 15505*b**2.\nAnswer: -3*(b - 8)*(b + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d + 35*d + 20 = 0. Solve 0*a + a + 4 = 3*u, d*a + 3 = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, f: 3}. What is prob of sequence fyyy?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*r - 2 = 0, 2*r = -2*r - 8. Let c be -2 - (i - 2)*1. Solve -c*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*s, 0*s = -5*s. Let i(k) = -k + 276. Let t be i(d). Let o be t\/60 + (-3)\/5. Solve -n = -3*p - 0 - 1, o*n - p = -7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, d: 2, r: 4}. Give prob of picking 2 r and 1 f.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**3 - 5*z**2 - z - 1. Let j(f) = -f**3 + 1. Determine -j(q) - t(q).\nAnswer: 5*q**3 + 5*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uew when three letters picked without replacement from {r: 1, e: 1, w: 1, u: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 86*n**3 + 22*n**2 + 11*n + 11. Let c(z) = 7*z**3 - 2*z**2 - z - 1. Calculate 44*c(p) + 4*g(p).\nAnswer: 652*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10323982*a**4 - 42561313*a.\nAnswer: -123887784*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3 - 0.7. Let s = 21 + -45. Let t = s - -20. What is the biggest value in 0.2, w, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(((i*i**(-3))\/i)\/i))\/i)**(-3\/20))**(-32) assuming i is positive.\nAnswer: i**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3024496687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.42 (c) 10 (d) 0.52 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1078560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30\/7 (b) -4\/7 (c) 190\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**2\/11 + 26*k\/11 - 96\/11 = 0.\nAnswer: -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 0*j**3 + 0 + 1\/168*j**8 + 0*j**5 + 0*j**6 + 0*j**7 + 7\/24*j**4 + 0*j + 4*j**2. What is the second derivative of b(l) wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 109, 171, 235, 301, 369?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*t**3 + 669144*t**2 + 6917149?\nAnswer: -9*t**2 + 1338288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9)\/s*s**6)\/((s*s**3)\/s*s**(-5)) assuming s is positive.\nAnswer: s**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*i = 2*i - 358, 5*i = 2*w + 166. Let j = w - -158. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 155 = -5*d, -170 + 7 = -5*d + 3*b. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s + 2*s + 3*s. Suppose 3 = z - b, 2*z + 7*b - 3*b = -12. Let q(f) = 0*f - 4*f - 2*f + z*f. What is h(q(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (4 + 14) - (2 + -16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 955410 divided by -5?\nAnswer: -191082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7309 = i - 489, 7796 = 4*w + 2*i. What is the greatest common divisor of 750 and w?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1001?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 3\/4, 3302, 0.4 in increasing order.\nAnswer: 2\/9, 0.4, 3\/4, 3302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*(-1)\/8*-4. Suppose f + 4*c + 9 - 2 = 0, -i*f = 3*c - 11. What is the third derivative of -107*y + 2*y**2 + 2*y**2 + 107*y - 5*y**f wrt y?\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17915*k - 4*k**3 + 17912*k + 29*k**3 + 17889*k - 53718*k.\nAnswer: 25*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -61. Let v(a) = a**2 - a - 1. Suppose -b - 2*b + 9 = 0. Let g(d) = b - d**3 + 6*d + 0*d**2 + 3 - 6*d**2. What is p*v(m) - g(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25\/3 + 53\/6. Which is the closest to u? (a) 4 (b) 1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - 336\/(-140).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/14 + (-2)\/(-7) - (20 + -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*(sqrt(396) + 0) + (sqrt(396) + sqrt(396)*-2)*-4)*1)**2.\nAnswer: -3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3735, -14837, -33101, -58329, -90323, -128885, -173817?\nAnswer: -224921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 + -2. Let y = 0.12 + -6.12. What is the closest to 1 in y, -3\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 47*q + 170. Let p(f) = 17*f + 57. Determine 3*i(d) - 8*p(d).\nAnswer: 5*d + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 25 + 0*o - 4*o - 14. Determine r(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(40)\/sqrt(5)) + (-2*sqrt(7)*1)**2.\nAnswer: sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-j**2 + 0*j**2 + 4*j**2) - j**2 - 3*j**2 + 0*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by (2\/(-3))\/(2\/(-93))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*o - 4*k, -18 + 8 = -5*o - 2*k. Solve o*q = 2*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/7, -410, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1\/669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*l**2 - l + l - 1047*l**2.\nAnswer: -1224*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -i + 44, -5*i + 215 = 4*o + o. Let t = -9 + 15. Calculate the greatest common factor of t and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5736145 + -14?\nAnswer: 5736131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m**5*m)\/m*m)\/(m**(-3\/5)\/m))\/((m*m\/m**(-1\/3)*m)\/m**(-2\/5)))**(-18) assuming m is positive.\nAnswer: m**(-438\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**3 + 7*l + 20. What is the remainder when t(-2) is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 7830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-6)\/279*249\/166*1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {m: 1, z: 1, x: 1, y: 2, k: 2, u: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2819.534 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/14 - 1*12\/(-7). Suppose -2*c = b + 2, 0 = -3*s + c + 32. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012823 rounded to four dps?\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 + 27463330*y - 36 - y**2 - 34 + 0*y**2 - 27463330*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**5\/60 + j**3\/3 + 7*j**2\/2 + 8. Let g(s) be the second derivative of o(s). Let i be 0\/(-2*(-1)\/(-2)). Calculate g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (1 + 2)) + 8. Suppose -4*h + 5 = -5*u, -3*u = v*h + 3 - 0. Which is the closest to h? (a) -0.3 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 1. Let i(h) = -312*h + 2. Let n(u) = -i(u) + 3*l(u). Is n(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 355.9 - 354.9. Which is bigger: 0.156 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 - 1157*a - 1630. Let p(y) = 19*y**2 - 6941*y - 9779. Let j(r) = 13*o(r) - 2*p(r). Differentiate j(z) with respect to z.\nAnswer: 2*z - 1159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.622 + 0.05518921775.\nAnswer: 2.67718921775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75523245 to the nearest integer?\nAnswer: 8690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12b1d - -a4a?\nAnswer: 13567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -145*d**3 - 2*d**2 + 12*d + 21. Let h be r(-4). Let k = 15714 + h. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (1\/1 - 4). Let b = 9 + d. Sort -2, b, -4.\nAnswer: -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -38*m - 19. Let y be q(-2). Let k = y - 38. Calculate the remainder when 56 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4 - 14644*y**3 + 132170*y**2 + 1554364*y + 1407552 = 0 for y.\nAnswer: -7331, -6, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1332*f - 2292 - 8364 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/11, -2, 6\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 42198413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/3670 and 131\/122670.\nAnswer: 45019890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 - -36. Let z = s + 56. Let n(t) = -23*t + 14. Let x(v) = -8*v + 5. Determine z*x(y) + 6*n(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1400108 is divided by 2096.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = i + 5*s, -4*i + 2*s + s + 26 = 0. What is the smallest value in -2, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c - 2. Let q(p) = 0 - 6 + 7 - 4*p - 2. What is 3*b(j) - 5*q(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1068, -8453, -28444, -67329, -131396?\nAnswer: -226933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*(-1576)\/(-12)*(-12)\/(-16) is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42783, 342192, 1154867, 2737440, 5346543, 9238808, 14670867?\nAnswer: 21899352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4322 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199293308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/32422 or 301?\nAnswer: 3\/32422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7. Suppose v = -5*o + 34 - 9. Let f = -110 - -108. Which is the second smallest value? (a) o (b) f (c) -3\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and 10975095 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = -4*a - 5*n, -20041*n + 408 = -14*a - 20039*n for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -38*g - 596. Give d(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(-80))\/(2\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 14*f**2 - 12*f + 17. Let s be n(-13). Suppose r - 3*r + 111 = a, -s*a - 194 = -3*r. Calculate the remainder when r is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 18. Let w be (j\/(-5))\/((-2)\/10) - -10. Which is bigger: 11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1984.073345 * 0.2\nAnswer: 396.814669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 263 + -155 + (-58 - -71)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(380\/35 - 11) + (1 - -19).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64795509.\nAnswer: 3, 281, 25621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 12) in base 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.82, 36, -8115?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 1811775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 46\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.07*-5.\nAnswer: -5.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 2*x + 0*x)*(1 + 2 - 2) to the form k*x + t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25034 - -5?\nAnswer: -25025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*z + 4*s, -3*z + 3*s + 2 = s. Suppose z*p + p - 87 = -3*f, 3*p - 3*f = 69. Is 24 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1dd (base 15) to base 7.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 518\/6 + (-2)\/(-3). Suppose -4*n = 23 - a. What is the remainder when 63 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 3*w**2 + 9. Let o(z) = z**3 + z**2 + 1. Determine -b(q) + 3*o(q).\nAnswer: q**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 12:25 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:27 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 44. Let m(v) = -v**2 + 1. Let g be m(-2). Let f be (81\/(-12) - g)*-8. What is the highest common divisor of f and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (17 - (7 - -24)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 1:32 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 9. Let n(j) = -j + 4. Let c(v) = -5 + 0 + 4 + 0. Let f(m) = p*c(m) - n(m). Let s(b) = -7*b**2. Give f(s(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + (-1 + sqrt(76) - sqrt(76)) + -5)*5 - (sqrt(1216) + -2*sqrt(1216) + 1 + sqrt(1216) + 0))**2*5.\nAnswer: -3100*sqrt(19) + 14305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 106.04, -12, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 45*d**2 + 300*d - 502. What is g(51)?\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 844 = 5*o - 3*m, m = 6*m + 15. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 - 1936*g\/5 + 468512\/5.\nAnswer: 2*(g - 484)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 2 - (-1 - 5). Suppose -w*r - r + 4 = 0. Solve -3*o + 2*o - r = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3, x: 3, d: 1, b: 4, u: 8}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213707548.\nAnswer: 2, 3511, 15217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1394*f - 986*f - 3826 = 787*f + 7165 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(180) + 5*sqrt(180)*1) + -4 - (-5 + sqrt(180)*1 + sqrt(180) + sqrt(180) + -3*sqrt(180)*3 + sqrt(180) + sqrt(180)))**2*2.\nAnswer: -480*sqrt(5) + 144002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l + 64 = 0. Solve 0 = 5*c - c - l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from jrjjjjjrjjjj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -666087996 times -0.4?\nAnswer: 266435198.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 35\/3, -0.1, -3 in increasing order.\nAnswer: -3, -0.1, 0.2, 35\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11324120313 (base 5) to base 4.\nAnswer: 302001213221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1567, -1469, -1353, -1213, -1043, -837, -589?\n\"Answer: f**3 + 3*f**2 + 82*f - 1653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19988611351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 - 2*w**2 - 5*w**2)*(3*w**2 + 0*w**2 - 2*w**2 + (1 - 2*w - 1)*(-2*w - 6*w - 8*w)).\nAnswer: -66*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*w = -309*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976656 a multiple of 913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 19515 (base 12) to base 9\nAnswer: 55708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1, 0.06, -80?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 708102 by 1269.\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 8*k + 8. Calculate b(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**5\/60 - 2*a**4 - 169*a**3\/6 - 2*a**2 + 47*a. Let b be l(-4). Solve p = b*p - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 34 = 59. Let d(l) be the third derivative of l**4\/24 - 7*l**3\/6 - 547*l**2. Calculate d(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, -27, -123, -307, -609, -1059?\n\"Answer: -5*d**3 + d**2 - 6*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -225 divided by -25\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in years?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -26) + (4 - -2) - (-2 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 2*j**3 - 2*j + 60*j**4 - 122*j**4 + 63*j**4 + j**2 in the form n*j**4 + a*j + m + y*j**2 + r*j**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**5\/v**6*((v*v**15)\/v)\/v**(2\/9) assuming v is positive.\nAnswer: v**(124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 7*r**2 + 3*r**2 - 2 + 0*r**2 + r + 3*r**2. Calculate p(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a centimeter in millimeters?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 245529776393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 + 6 - -1 - (-450 - -437)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89185 - -177668. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 14.3. Let p = 14.19 + k. Let q = p - -0.11. Which is bigger: 0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3 + 346*w**3 - 2*w + 4*w - 345*w**3 + w**2 + 22. Calculate d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, y: 5, h: 2, u: 5}. Give prob of picking 1 y and 2 u.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89605.46ms in nanoseconds?\nAnswer: 89605460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 10:08 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 775*y - 32 = 767*y. Solve 24\/5 - 168\/5*u**y - 498\/5*u**3 - 306\/5*u**2 + 48\/5*u = 0 for u.\nAnswer: -2, -1, -1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 15*f + 8. Let h = -815 - -827. What is the least common multiple of h and v(14)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 444, 5197 in decreasing order.\nAnswer: 5197, 444, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103170 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 0.0185200266?\nAnswer: 3.9814799734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.88 - 19.88. Let o = 2717.9024 - 2700.9. Let v = x - o. Round v to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11386 or -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*y - h - 4, 0 = -4*y + 4*h + 4. Let s(z) = 2*z - 20. Let t(v) = -3*v + 30. Let r(u) = 7*s(u) + 5*t(u). What is r(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5600 and 44100?\nAnswer: 352800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831 = 273*w + 182 - 716 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 48*g = 44*g, -5*q + 4*g = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**2. Let q(d) = 2*d**2 - 9*d. Let c = -7 + 11. Let r(z) = -z**2 + 4*z. Let t(m) = c*q(m) + 9*r(m). Give t(v(o)).\nAnswer: -49*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*x + 3 + 740*x - 3.\nAnswer: 673*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*a**3*c**3 + a**3*h + 694*a*c**3*h**2 - 46*a*c**2 - 651*h**2 wrt c.\nAnswer: 222*a**3 + 4164*a*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/89424 and 21\/10.\nAnswer: 447120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 149717\nAnswer: -1\/149717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5645472 divided by -50406?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -13*n - 43. Sort 2, -1, n, -18 in decreasing order.\nAnswer: 2, -1, n, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-25)*-5 + 1096\/5.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10\/19 - -32\/133. Which is greater: 12 or t?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.2 - 47.2. Let t = -15.869 + -0.231. Let n = 16 + t. Sort 1\/15, 2, n, h.\nAnswer: h, n, 1\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39737*z**2 - 106*z - 2563110?\nAnswer: -79474*z - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409, 3482, 11879, 28264, 55301?\nAnswer: 95654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*i**4 - 2264187244*i**3 - 3477144500*i**2 - 1374685016*i - 161727648 = 0. Calculate i.\nAnswer: -20215956, -1, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -572c (base 16) to base 7.\nAnswer: -122030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**8*r)\/r*r*r)**(-2\/3)\/(((r*r**10)\/r)\/r*r)**32 assuming r is positive.\nAnswer: r**(-982\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15 + 19*k**2 + 14*k**2 - 43*k**2 wrt k?\nAnswer: -20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -107186 and 0.2.\nAnswer: -107185.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3464370 and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/7 or -867154?\nAnswer: -867154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5)*70\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 972 in increasing order.\nAnswer: -3, -1, 972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 5024088.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 b when three letters picked without replacement from {q: 1, b: 13, m: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 8*a - 13. Let c(z) = -1. Let l(m) = -4*c(m) + w(m). Let u be l(6). Find the first derivative of 7 - 2*r - 2*r + u*r - 3*r wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6*0.0211.\nAnswer: 0.05486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 10*i - 27. Let b = 12 + i. Suppose -2*q = -b*f - 4*q + 7, -2*q - 2 = 0. What is the greatest common factor of f and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, a: 5, m: 5}. What is prob of picking 3 a and 1 u?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 6:53 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (124\/44 - 4) + 1. Put g, -0.5, -4\/3 in increasing order.\nAnswer: -4\/3, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.9197 to 0 dps.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 8. Suppose u*z + 3*v = 16, v = 2*z + 3*z - 8. Suppose 2 + 2 = -y + 4*b, -5*b = -z*y - 2. Solve -p - a = -4, p + 1 = y*a - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 10:28 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = g. Suppose -228 = -g*i - i. What is the remainder when i is divided by (-178)\/(-9) + (-14)\/(-63)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 + 170\/3 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -120358 and -50?\nAnswer: 6017900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -678*h - 10024. Give z(-15).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80.7 + -150.4. Round w to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (800 + 1222 - 844 + 723)*(-1 - 2*h + 1).\nAnswer: -3802*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -528 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 971728 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 251.9\nAnswer: 1511.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 763 - 603. Calculate the remainder when q is divided by 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -258, 7309, -13 in increasing order.\nAnswer: -258, -13, 7309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:35 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 1207.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1*-1)\/(10\/(40\/1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w - 539 + 39*w + 545.\nAnswer: 46*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 8. Let k be i(-4). Suppose s - 6 = -k. Let y(j) = 4 + 2 + 0 + 11*j. Let u(c) = -4*c - 2. Determine s*y(h) - 17*u(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 140\/14*(-1)\/(-2). Suppose j*m = 4*x + 9, -2*x = 5*m - 3 - 0. Calculate the remainder when 16 is divided by 26\/2 - m\/(5\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -306.4 and 23.\nAnswer: -7047.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeebeelqeeleeb. Give prob of sequence bbeq.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3274099302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1310.9 + 749.9. Which is greater: 1\/6 or v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -564, -7, -2, -42, -5, -8 in ascending order.\nAnswer: -564, -42, -8, -7, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*m = -634 - 1654 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -35 + -1*(0 + -2). Let i = 41 + u. Suppose 0*v - i = 3*v + 2*m, 20 = 2*v - 5*m. Solve v - 4 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89\/(5874\/(-88))*18\/32.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 9*s**2 - 10*s. Let w be i(-10). Let d = w + -47973\/16. What is the common denominator of 3\/4*(-2)\/6 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -81 - -2?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from llalla.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/8? (a) -0.2 (b) -2.18 (c) -7 (d) -4 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 168, 182, 196, 210, 224, 238?\n\"Answer: 14*h + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 26, 0.05, -3, -14, -102?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (9 - -1) + -6 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 332 + -330. Suppose -3*q - 37480 = b + 3*b, -18740 = a*b + 2*q. What is b rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -3*u**2 + 3. Let r(d) be the third derivative of d**5\/30 - 8*d**2. Give r(h(f)).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/27330 and -119\/66.\nAnswer: 300630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -177 by 63.\nAnswer: -59\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 271916285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001011101 - -110?\nAnswer: 1111001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**5\/5 + 116*r**4\/5 + 2281*r**3\/5 - 36886*r**2\/5 + 18584*r - 58432\/5 = 0?\nAnswer: -83, -44, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10961 - 13884. Let f = q + -75180. Let u = 36025 + f. What is u rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmummmmdvwmvvmw. Give prob of sequence mmu.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 6:37 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10*k - 8 + 12*k**2 - k**3 + 6 - 7. Let c be r(11). Find y such that -y**4 + 3*y**3 + 3*y**c + 2*y - 3*y**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-17 - -11) - (1 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2977580009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 3*m + 3, 4*m - 513*v + 515*v = -4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26207?\nAnswer: 73, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/8*(-2 - -2). Solve o*p + 3 = 3*c + 3*p, 0 = p - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -107377*d**2 + 150. Let z(f) = -f**2. Determine y(z(u)).\nAnswer: -107377*u**4 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 101 + 6 - (-3 - 0). Calculate the highest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f - 9. Let b be t(13). Suppose 5*r + 4*w - 148 = 0, 0 = -2*r - w - 8 + b. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.004 - -0.746. Let v = u - 1.15. Is v at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -18059*t**2 - 2*t + 1. Let b be v(1). Let o = 577869\/32 + b. Calculate the common denominator of o and (-2 - -8) + (44\/32*-2 - -1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 <= 3479\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4536*j. Let n(h) = h**2 - 111*h + 5. Determine n(p(r)).\nAnswer: 20575296*r**2 + 503496*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*i + 4*i - 8, -5*q = -i + 9. Put i, -2, -3, -5 in increasing order.\nAnswer: -5, -3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3889*f**2 - 1126*f**5 - 428*f**5 + 1127*f**2 - 498*f**5 wrt f.\nAnswer: -123120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * 758.\nAnswer: -27288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -280, -529, -856, -1261?\nAnswer: -1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3311 + 10917*z**2 + 301*z**2 + 2779*z**2 + 12492*z - 3311 wrt z?\nAnswer: 27994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -11*j**2 + 13*j - 24. Let l(y) = -5*y**2 + 6*y - 12. Let g(d) = 4*k(d) - 9*l(d). Let c(u) = -u**3 - 4*u**2 + 6*u - 6. Let t be c(-5). Is g(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 421\/309 - 3\/103. Let w(p) be the second derivative of -p**2 + 0 - b*p**3 - p. What is the derivative of w(j) wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2300)\/(-460)*(-4)\/10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2533677 by 107.\nAnswer: 2533677\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/1269 and 101\/216.\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/15 + (-374)\/(-110).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2108441 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r + 10. Let m be (15\/r)\/(3\/(-67)). Let k = m - -33. Is 2 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Suppose 16 = -6*t + d*t. Let m be 3 - (16\/t - -1). Solve -2 = 4*p - m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 298259812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvuwfvtmvffumfvffm. What is prob of picking 1 w and 1 f?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -80868 divided by 2\nAnswer: -40434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umm when three letters picked without replacement from {u: 2, m: 8, h: 5}?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 331126 (base 8) in base 6?\nAnswer: 2214434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4661 - 4661.07014. Round x to three dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + (-5 - (-3 + 2)) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 divided by -30?\nAnswer: -137\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*l - q, l - 4*q = 16. Suppose b - i - 47 = l, -5*b - 2*i = -8*b + 141. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -16\/97, -4\/9, -3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, l: 2, h: 1, o: 1, b: 2, v: 1}. What is prob of sequence vlv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 422101 by 1.\nAnswer: 422101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -98635*j + 197277. Determine m(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21064 + 399981\/19. Which is smaller: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j - 2. Let w be n(5). Suppose 0 = -11*k + 7*k + 244. Let g = 64 - k. Calculate the greatest common divisor of w and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 1 (b) 0.4 (c) 605\/2 (d) -2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 5. Suppose -5*j - w = -5*c, -2*c = c - 5*j - 28. Is 80*c - 15\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/15)\/((-1375)\/225)*(-18)\/(-27)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8376, -33582, -75610, -134448, -210084, -302506?\nAnswer: -411702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 87. Let i(h) = 8*h**3 + 1. What is i(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/2*(-36)\/(-27). Let q(o) = -5*o - 12. Let y be q(-8). Let t = y - s. 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: Divide -59 by 8765936.\nAnswer: -59\/8765936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-2\/39)\/(n**(-1\/4))**(-2)*(n\/n**(-1\/3))**(1\/37)*(n\/(n*n**(-1\/3)*n))**(-17\/4) assuming n is positive.\nAnswer: n**(263\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 970 and 1240?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**2\/2 - 1. Let a(f) = -7*f. Let p(z) = -z. Let n(w) = a(w) - 4*p(w). What is o(n(l))?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 2*u**3\/3 - 52*u. Let y(c) = -c. Let a(r) = r**3 - r**2 - 2*r - 1. Let n be a(-1). Give n*w(z) + y(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 14*n + 1. Calculate the remainder when i(3) is divided by 228\/15 + (-1)\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, k: 3, b: 11}. What is prob of picking 2 s and 2 k?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33, 115, 249, 435?\n\"Answer: 26*c**2 + 4*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:35 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qyqaaqqqqqqaqqq.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.299 and 617?\nAnswer: 184.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ommogg. Give prob of sequence oo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29366 - 473. What are the prime factors of y?\nAnswer: 3, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2940, -4124, -6128, -8976, -12692?\nAnswer: -17300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5*h + 3585, -12*h - 5 = -17*h. Is k a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -3*l - 8, -4*l + 3*l = k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*n - 425*n + 1864*n - 408*n - 595*n.\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -341 (base 9) to base 12\nAnswer: -1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -401862*g**3 + 757254*g**2?\nAnswer: -2411172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631062?\nAnswer: 2, 41, 19891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -6) + (-886)\/(-2). Let a = -316 + k. Calculate the greatest common divisor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2*b**3 + 4 + 2 - 14.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -36882.37 rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13182 divided by 175?\nAnswer: 13182\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858*l + 877*l = 342 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44321 - 2925313\/66. What is the common denominator of l and 107\/42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/6 - 5\/15. Differentiate l + 1 - 5*h**2 + 9*h**2 - 3 wrt h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*k + 15*k. Solve -8*r + 21*r + 26 = k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 244 = 3*j. Let a be 12 + (-405)\/30 + (-75)\/2. Let h = a - j. Is h a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 v, and 1 d when three letters picked without replacement from xivyd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*f + 5*o - 16, 5*f = o + 61. Let c = 121 - 69. What is the remainder when c is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*k*u**2 + 94*k + 145216*u**3 - 967092*u wrt u.\nAnswer: -52*k + 871296*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35783 - 35786. Is p not equal to -3227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4276440 by -17.\nAnswer: -4276440\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 2\/7, 2, 4, 0.1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2324\/20 - ((-1)\/5)\/(-1). Let m = b - 92. Calculate the greatest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 16 = -4*k. Suppose 0 = 3*r - 22*r + 38. Let s = 6 - r. Solve 0*f = -s*f - k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.081, -5, -2\/5, 25?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2))**(-2\/171)*h*h**(-5)*(h**(-2)\/h)\/h)**15)**(-2\/7) assuming h is positive.\nAnswer: h**(13640\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4385 - 4555 = 745*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1104 + 1119 + (-11)\/(4\/(-28)*-1).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, e: 3, o: 1, q: 2, l: 3, s: 1}. Give prob of sequence llqc.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -166 - -182. What is the biggest value in g, 1\/2, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6586833 to the power of 1\/2, to the nearest integer?\nAnswer: 2566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*y - 10321*y**2 - 94*y + 62*y)*(-10*y + 18*y - 10*y).\nAnswer: 20642*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5129*n + 2339 with respect to n.\nAnswer: -5129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -21*a + 351, 4*o + 436 = -a + 440 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 5 - -4 - -2 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*1*4)\/((-2*sqrt(12) + sqrt(12))*-1).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3522*m = -3538*m + 48 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*c**2*f**2 + 2*c**2 - 14*c*f**2 + 83 with respect to f.\nAnswer: -142*c**2*f - 28*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 18 - 20*z**2 - 18*z**2 + 39*z**2 - 45.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.00853 centuries to decades.\nAnswer: 700.0853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 13 = 2. Suppose -3*o + u - 83 = -m*o, o - 31 = -4*u. What are the prime factors of o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + p**3 - 4*p**3 + (-177 + 177 + 26*p)*(7*p**2 + 2 - 2) + 19*p**3 + 140*p - 140*p.\nAnswer: 199*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drd. Give prob of sequence drd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -11*k + 40. Let t be n(16). Let h = 141 + t. Sort 1\/6, h, 0.\nAnswer: 0, 1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12322014 + 2?\nAnswer: -12322012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 u when three letters picked without replacement from {l: 4, u: 8, r: 1, o: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1500) - -1*sqrt(240))\/((-2*sqrt(864))\/sqrt(8)) + -3)*-4.\nAnswer: 14*sqrt(5)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -1 (c) -3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l. Suppose 0 = -2*m - l*m + 14. Let o = 7 + m. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((0 - -2)*12)\/2 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-9)\/594*18?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 3) to base 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*x + 304*x = 40. What is the nearest to x in 1\/3, -0.1, -3\/8, -0.2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-70))\/(-1)*5\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 178024 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 66\/7, 0.1, 0 in descending order.\nAnswer: 66\/7, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 4*k + 3. Let q be r(-2). Suppose 8*b - 58 = -2*s, 0*b = -5*s - 4*b + 65. What is the highest common factor of q and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*r - 3. Let j = r + -3. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(180)*-1 - (4 + (-1 + sqrt(180) - sqrt(180))) - 1*sqrt(180)*-3*-5)*-5*4)**2.\nAnswer: 201600*sqrt(5) + 14115600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-2)*(2860\/(-234))\/(-55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 8*o**2 + 2*o - 6. Let h(x) = x**3 - 4 + 0 + 2*x - 7*x**2 - 2. Let d(l) = -3*f(l) + 4*h(l). What is the smallest common multiple of d(4) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 15444000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -267 - -272. Suppose -14*s - i = -19*s. Solve -s = j - 2*b - 2, -4 = -4*j - 2*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 49*d - 4. Let l = 5 - -6. Is z(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202021 - 10?\nAnswer: -202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(32) + 5.\nAnswer: sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 24*k - 58. Let w(s) be the first derivative of 1\/7*s**3 - 9\/7*s**k + 15\/7*s + 11. Let w(t) = 0. Calculate t.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a millisecond in microseconds?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.06, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2856535?\nAnswer: 5, 11, 167, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 2:30 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/97 or -0.18?\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14607*f - 21445 + 1007300 + 226526 for f.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 divided by 5.\nAnswer: 344\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*k = -4*l - 37*k + 19392, -k + 14524 = 3*l. Does 32 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 253 - 5?\nAnswer: 24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**3\/6 + 3*r**2\/2 - r. What is m(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.244*-403.\nAnswer: 1307.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 - 8\/3*t - 5\/6*t**2 + 25\/6*t**3.\nAnswer: (t - 1)*(5*t + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 7 = -w, -35*y + 30*y - 5*w - 5 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 2 = -4*n. Let s(v) = v + 6. Let l be s(n). Let j(q) = q**3 - q**2 + q + 8. What is the units digit of j(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhpddqphq. What is prob of picking 2 d?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -44274513 divided by 4\nAnswer: -44274513\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289127.\nAnswer: 289127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(343))*-1*6*3)**2 + sqrt(7)*-1*4*-2*-6 + 5.\nAnswer: 4488*sqrt(7) + 111461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173.4, -2\/33, 5, -1\/2 in increasing order.\nAnswer: -173.4, -1\/2, -2\/33, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -g - 145, -5*g - 53 = 2*f - 3*f. Let q = -37 - -62. Calculate the remainder when f is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 464153\/21340 + -2\/5335. What is the common denominator of t and 63\/218?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347652299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, w: 2, t: 4, e: 8}. What is prob of picking 1 e and 1 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 258978 (base 13) to base 15\nAnswer: 12d05c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/14)\/(1\/12). Find the second derivative of 30*o - k*o + 7*o**4 + 2*o**4 wrt o.\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wswws. What is prob of sequence wws?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552408870?\nAnswer: 2, 3, 5, 13, 1416433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**9*z*z*z*z**(-10\/11)*z assuming z is positive.\nAnswer: z**(144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 66022445.8 rounded to the nearest 1000?\nAnswer: 66022000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**8\/3780 + d**7\/1890 - d**6\/405 + 10*d**3\/3 - 4. Let x(z) be the third derivative of h(z). Factor x(j).\nAnswer: 4*j**2*(j - 1)*(j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 5)\/(-1*2). Let k be (l - -2) + (-182)\/63. Let s = -0.03 + 0.43. Put s, -0.4, k in increasing order.\nAnswer: -0.4, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 39969196075?\nAnswer: -39969196082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*v - 68*v - 112 = 0. Let w(s) = s**3 - 5*s**2 - s - 2. Let x be w(5). Let r = 16 + x. What is the remainder when v is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1230141 and 33627.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/11)\/(g*g**(-6\/11)))**43 assuming g is positive.\nAnswer: g**(-172\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30465500 and 2343500?\nAnswer: 30465500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 7182*c**2 + 119 - 69.\nAnswer: -7182*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -33*v**2 - 331*v + 147. What is s(-10)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.41 + 0.443. Let m = 401 - 401.233. Let u = n + m. Sort -1, 0.1, u, 3.\nAnswer: -1, u, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1053) - sqrt(364)\/sqrt(7).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.2 times -1?\nAnswer: 41.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 82*q**5\/5 + 143450*q**4 + 1567343926*q**3\/5 - 4783616258*q**2\/5 + 673736000*q - 30625000 = 0?\nAnswer: -4375, 2\/41, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4 - 34*k**3 - 77*k**2 + 174*k + 216 = 0. Calculate k.\nAnswer: -3, -1, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 t, and 1 w when four letters picked without replacement from btbwtbeteewtttbwtpw.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 a when three letters picked without replacement from {a: 4, g: 14}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.13 + -1.13. Let f(v) = -v**2 + 9*v - 5. Let b be f(8). Suppose b*r - 4*r = -3. What is the nearest to r in 0.2, x, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) 1 (c) 5175 (d) 27.1 (e) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*q + 25. What is the remainder when ((-20)\/40)\/(9\/(-468)) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 + -2 - -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**12*c\/(c*c**(-5\/8)) assuming c is positive.\nAnswer: c**(-83\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2820 = 85*g + 203 + 1168 - 876 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**3 - 13*n - 22. List the prime factors of d(-4).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 17. Let w = -6 - p. What is the remainder when (-26 + -2)\/(3 - w) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/33696 and -77\/12?\nAnswer: 33696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 9 - 4. Suppose o*p - 40 = -5*s + p, 3*p = -4*s + 31. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (sqrt(76)*1*3)\/(sqrt(196) - sqrt(196)*-2)).\nAnswer: -3 + sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 12*g + 40 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61101\/65 + -940. Suppose -3*h - 30 = -4*w - 8*h, 2*w - h - 22 = 0. Let r be -6 + (-99)\/(-15) - (-4)\/w. Is r at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.22 (b) -0.03 (c) -14 (d) -1\/7 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*3 - (2*sqrt(77) + sqrt(77))*6)\/(sqrt(7) + sqrt(448)*-1 - (-2*sqrt(448) + sqrt(448))).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {p: 1, c: 2, i: 1, n: 3, d: 8, w: 3}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, q: 5}. Give prob of picking 1 q and 2 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 461233, 922454, 1383675, 1844896?\n\"Answer: 461221*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 29.3. Let m = u + -2.3. Let w be -1*-1*1\/(-5). What is the second biggest value in m, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/36 + 22\/6. Suppose 4*c - 6*c - p = -15, -a*c + 25 = p. Solve -c = -q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 374 and 451.\nAnswer: 15334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3589*s = 85049 + 2730 + 109616 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 34*y - 27. Is 15 a factor of h(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18011)\/(-249)*234\/(-182).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223 and 388243.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -827, -822, -813, -800, -783?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.748 - -4.252. Which is the second smallest value? (a) 1.2 (b) q (c) -4 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.094 - 1538.1.\nAnswer: -1538.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -37642150 (base 8) in base 7?\nAnswer: -130615400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4497*g = -4451*g + 9 - 423 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 + -3.99. Let o be (-6)\/(-42) + -5*12\/28. What is the fourth biggest value in -1\/4, h, o, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3649 millilitres in litres?\nAnswer: 0.0073649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2. Let w(x) be the first derivative of 0*x**2 + x - 46 + 14\/3*x**3. Determine w(p(k)).\nAnswer: 56*k**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26831, -26830, -26829?\nAnswer: -26828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -56 (b) 18 (c) -7 (d) -5 (e) -0.3 (f) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -0.5, 919, -12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15484.161 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/945*(-10)\/3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/2*17\/((-102)\/(-8)). What is the tens digit of (-6)\/(-12)*1738 - h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13543\/5 + 2696. What is the common denominator of a and 63\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5\/3*f**2 - 1820\/3 + 75*f = 0.\nAnswer: -52, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.05.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/75 + (-1)\/3. Sort x, 0.4, -1 in ascending order.\nAnswer: -1, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**7\/840 + o**6\/360 - o**5\/60 + o**4\/24 - o**3\/6 - 3*o**2. Let y(a) be the first derivative of d(a). Is y(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = t + h + 4, 0 = -t + 3*h + 19. Let r = 607 - 481. What is the highest common divisor of r and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04168 - 0.05832. Which is the third biggest value? (a) 63 (b) 0.1 (c) m (d) 0.5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 divided by -10.\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.01705 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -83\/357 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1407 + 1407.019. Which is the biggest value? (a) 0.2 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 466 - 310. Let s be (-17)\/(1190\/(-260)) - 2\/(-7). Suppose -4*q - s*x = -x - z, 5*x = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 t when four letters picked without replacement from {t: 6, p: 1, d: 2, n: 4, l: 2}?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 5*p**2 + 2*p + 2. Suppose -3*v = -3*h + 141, -v - 179 = 3*v - h. Let o = 44 + -83. Let i = o - v. Calculate k(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1068 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 13. Determine w(-22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.569 times -0.47\nAnswer: -0.26743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 58. Let z be (0 - p) + -28 + 28. Suppose o = -c - 0*c + 14, z = -4*c - 4. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 65474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 15*j - 14. List the prime factors of w(7).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449451 to the power of 1\/2, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 179025 and 358050?\nAnswer: 358050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3 = 5. Suppose 20 = 2*n + d*n - 5*w, 0 = -3*n + 4*w + 15. Determine c so that 1 - 5*c + 3*c**2 - 4*c + n = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*u - 1, 4*g - u - 4 = -3*u. Suppose -g*n = 5*c + 14, n - c = -0*c + 6. What is the second derivative of -w**2 - 5*w - w + w**4 + w**n wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-2 + 9 + -10 - (-18 - -23)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 5, -1, 0, -1466, -71.\nAnswer: -1466, -71, -1, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = 0, 0*p + 5*n = 3*p - 32. Let v = -13829 - -13825. Sort v, -2, p, 15.\nAnswer: v, -2, p, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 50 (b) -12 (c) -35 (d) -6 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 75. Let t(h) = -12*h - 11. What are the prime factors of t(s)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.9 and 19303244.9922?\nAnswer: 19303245.8922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 28955810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -3)\/((-1)\/(-4)). Suppose -12600000 = i + y*i. What is i rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/11)\/w*w*w**(-8)*w*(w**(-19)\/w)**(-16) assuming w is positive.\nAnswer: w**(3439\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 2*j**3 - 4*j**4 - j**2 + 4*j + 3*j**4 to c*j**2 + p*j**3 + a*j + u + v*j**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 74491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1849, -7341, -16477, -29257, -45681, -65749?\n\"Answer: -1822*z**2 - 26*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 plus -294894?\nAnswer: -294836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(-33) - (-32)\/6. Suppose h*a - 397 - 48 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o + 32*o + 4 = 0. Let t be o\/(((-24)\/(-60))\/(8\/(-5))). What is the greatest common divisor of 16 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1088, -1070, -1050, -1028, -1004, -978?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from oggggggggogoggcgoggo?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 664995179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 0*s + s)*(25*s - 19*s - 38*s) as d*s + k + p*s**2 and give p.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -80, -159, -238, -317, -396?\n\"Answer: -79*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606 (base 7) to base 6.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*s**4 + 567*s**3 - 1782*s**2 + 884*s - 120.\nAnswer: -(s - 6)*(s - 5)*(7*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 5*y**4\/12 - y**3\/2 + 16*y**2. Let p be g(1). Which is smaller: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 390*s + 130*s**2 - 390*s to x + b*s**2 + m*s and give b.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + w**2 - 14*w + 9. Let d be g(0). Solve 38 = d*y - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13452?\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x - 1. Let k(t) = 12*t + 2. Let y be k(1). Let j(a) = -6 + 2*a + 3 + y*a. Give 7*d(n) - 2*j(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 7. Let z be u(-6). Let y be (8\/(-5))\/(6\/40)*6. Let r be 0 - -2 - 2\/y*-62. Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*g + 3*j + 3, -g - 2*j = -3. Suppose 1 = 5*h - 4*h + l, 3*h + g = 3*l. Solve 3*d - 5*z + 1 + 6 = h, -5 = 2*d - 3*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h**3 + 2 - 127*h**3 + 95*h**3 - 2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -25.91. Let j = -27 - -27.19. Let c = q + j. Which is smaller: c or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6801498 divided by -6?\nAnswer: 1133583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*l - 153 - 325, l - 3*q = 219. Find the first derivative of -88*m**4 - 6*m**4 + 321 - 135 + l*m**2 - 234*m**2 wrt m.\nAnswer: -376*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8822*k = 8817*k + 3*h + 12, 2*h = -4*k + 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-375))\/((-1)\/5)*5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 514 = 10292. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - 12*d**2 - 3*d**2 - d**2 + d - d + (2*d - 3*d + 3*d)*(d + d - d) - d**2 + 9*d + 2*d**2 - 7*d to the form r*d**2 + c + u*d and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 296433900\/17 or 17437289?\nAnswer: 296433900\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157132887.\nAnswer: 3, 17, 3081037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3. Let x(d) = d**2 - d - 4. Let m be x(-2). Is (-1 - (-160)\/m)\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 9*y**2 - 7*y + 5. Suppose -43*z = -49*z + 336. Suppose 161*c = 154*c - z. Calculate x(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 639879 and 302187?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 2*s - 65. Suppose -2*n + s = -b - 0*b, -3*b - 101 = -2*n. Calculate the remainder when (7\/(-7))\/((-2)\/n) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 34 = -6*o - 2*k, -o + 5*k - 4 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.402 + 0.098. Sort -4, x, 1\/19.\nAnswer: -4, 1\/19, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -71*p**2 + 98*p + 33. Let x(n) = -108*n**2 + 147*n + 50. Let a(m) = -8*k(m) + 5*x(m). What are the prime factors of a(6)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*r = 687 - 5921, 3*r = -3*k + 7821. What are the prime factors of k?\nAnswer: 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4541790 to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(850))\/(sqrt(32)*5*1).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-2\/15)\/t)*t\/(t**(2\/15)\/t))\/(t\/(t**(2\/5)*t))**28)**13)**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-212032)\/(-96))\/((-2)\/(-15)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 + 5)*(259*a**2 - 284356*a + 284356*a) + 3*a**2 + 0*a**2 - a**2 + (a - 2*a + 3*a)*(0*a - 3*a + 4*a) in the form c*a + m*a**2 + o and give m.\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 3\/861022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = g. Calculate the remainder when 48 is divided by g\/4*2*17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99918 is divided by 11081.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5150 + 4273 - 7340)*(y - 3*y + 3*y - y - 2*y + 2*y + (0 + 0 + 2)*(2*y + y - y) + y + 2 - 2) as t + h*y and give h.\nAnswer: 10415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from {h: 4, t: 3, q: 2, z: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/15)\/((-1)\/5)*11. Solve -2*l - 17 = -u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 28 - 98. Let h be 3 - 44\/36 - (-4)\/n. Find the second derivative of 0*x**2 + 191*x - 173*x + 3*x**h wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-15)*486\/(-5940)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/11 - 34*u**3\/11 - 114*u**2\/11 - 134*u\/11 - 52\/11 = 0. What is u?\nAnswer: -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 12*y + 21 - 11. Solve y = -2*b + 4, -11*g + 4*b = -6*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10*i - 3*k - 69 = 0, -4*i - 2*k + 64 = 0. Suppose 316*h + 3500 = 336*h. Calculate the remainder when h is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171137 is divided by 21390.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:53 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-192)\/(-56))\/(-6))\/(2\/(-21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022791857?\nAnswer: 3, 227, 1501897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - (-2 - 1) - -4) + 9 + -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1995 and 52\/365.\nAnswer: 145635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 383832 and 225288?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 3*h + 45. Calculate z(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(-1\/35)*o)\/o)\/o**(2\/15)*(o*((o**(3\/5)\/o)\/o*o)\/o)\/o**(-2\/31) assuming o is positive.\nAnswer: o**(1636\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -325?\nAnswer: -32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i**2 - 24*i + 27. Let k(c) = -7*c**2 + 16*c - 18. Let h(a) = -5*b(a) - 7*k(a). Let n be h(6). Solve 0*r + 4*r + 17 = n*f, -r - 2*f = -4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -86? (a) 0.61 (b) 0.03 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 11:06 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3444 and 18?\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -3. Let n be 76\/5*(-45)\/(-18). Suppose 0 = -2*v - 22 + n. Calculate the highest common factor of v and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -8*t**3 - 153*t**2 + 271*t + 2616. Calculate r(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, a: 2}. What is prob of picking 1 p and 1 a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96.2 - 137.4383474.\nAnswer: -41.2383474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 311603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2301 + 3029.\nAnswer: 3029.2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-36)*(-78)\/104\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110319 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2016*p - 12521. Let y be v(7). What is the highest common factor of y and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in years?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(468) + -1 - sqrt(468)) + (sqrt(468) - (1 + (sqrt(468) - sqrt(468)*3) + sqrt(468))))*-6.\nAnswer: -72*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 11:14 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36577 by -306.\nAnswer: -36577\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 0, 2, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 6*y**2 - 2*y - 5. Let f be h(-7). Let o = -12 - f. Calculate the highest common divisor of 28 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1944 and 479925.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34746086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 k when three letters picked without replacement from {c: 3, w: 9, k: 2, e: 3}.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 922 + -927. Which is the closest to 0? (a) q (b) 1 (c) 0.16 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 187 + -187. Which is the closest to k? (a) 1 (b) -5\/9 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 290 + 124. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 800\/(-105)*-65*(-255)\/27625.\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Let j = -2.99968 + b. Round j to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/39 and -37\/3939.\nAnswer: 3939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*d = 23, 10*k = 9*k + 5*d + 2. Suppose -2*n + 2 = 0, 4*s = s + n - 10. Let l = -0.01 - -4.01. What is the nearest to s in l, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10393309 and 10393312 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + 63. Let q = -287 + 304. Calculate the greatest common divisor of q and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -1492\nAnswer: 7\/1492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 187.1 >= 580\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from rrmppkc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 186.5060127 microseconds?\nAnswer: 0.00000000030837634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1b20b (base 12) to base 9\nAnswer: -60832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 22, -4, -1.\nAnswer: -4, -1, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-735)\/(-20790))\/((-14)\/(-24))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*f + 2*f - 3, 4*f = -20. Suppose 12 = 5*s - 63. Calculate the remainder when s is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*d**4 - 67*d - 2235 with respect to d.\nAnswer: -36*d**3 - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 816 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26487.52kg to micrograms.\nAnswer: 26487520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o - 11. Let d(x) = x**3 - 11*x**2 + x - 15. Let f be d(o). Let c be (-20)\/6*6\/f. Solve 3*s - 5*v - 27 = 0, 3*s + c*v - 5 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 45 = -c + 3, -c + 189 = 28*y - 24*y for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 336 - 112 - 115 - 106 - 2*j. Let c be (0 + -1)*1 + -4. What are the prime factors of d(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s - 3 = 36*s. Factor 50*d**3 + 48*d**3 + 1748*d - 94*d**s + 160*d**2 + 2888.\nAnswer: 4*(d + 2)*(d + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibbb when four letters picked without replacement from {b: 5, i: 7}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/((-12)\/3))\/(3\/24006). What is j rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 918 in -1, 55, -2.2, 1\/12?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 100*u - 3726 = 117*u for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1393488360 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.52 - -0.02. Let f = 2 + r. Let y = 1 + -2. What is the second biggest value in f, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*x**3 + 164*x - 164*x + (6*x - 11*x + 4 + 4*x)*(110*x - 10*x**2 - 110*x) to the form t*x**2 + j + p*x + h*x**3 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from fqtfqtktltftklk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-1))\/(-1 - (-21 + 3) - (-550)\/(-30))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 184221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1342 divide 54419966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02 and -23092?\nAnswer: 23091.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 684112, 684111, 684110?\n\"Answer: -u + 684113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:19 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (-2 - -1)*11940\/199?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 8*x**2 + 309 - 309 + 5*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/4)*g)**36)**19)**6 assuming g is positive.\nAnswer: g**3078","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 4*y**2 + 7*y + 14. What is a(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 8:23 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r + 1. Let m(l) = l. Determine m(a(s)).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -96668865, -96668863, -96668861, -96668859, -96668857?\n\"Answer: 2*i - 96668867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14*d**3 - 7*d**2 - 10*d - 22. Let a(h) = -5*h**3 + 2*h**2 + 3*h + 7. What is -7*a(y) - 2*x(y)?\nAnswer: 7*y**3 - y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, s: 11, n: 4}. Give prob of picking 1 n and 1 c.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6*((f\/(f*f*f**(-1\/16)*f*f*f))\/f*f)\/f*(f**(-8)\/f)\/f*(f\/(((f*f*f**(-30))\/f)\/f))\/f)**(-31) assuming f is positive.\nAnswer: f**(-10447\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.55432898 to three decimal places.\nAnswer: -47.554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**7\/14 + o**6\/2 + 3*o**5\/2 + 5*o**4\/2 + 5*o**3\/2 + 3*o**2\/2 - 2*o. Solve q(p) = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y - 2. Let l be a(-3). Suppose 0 = -s + l + 1. Suppose 0 = r - 5*r + 140. What is the highest common divisor of s and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 765 and 17852295.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1491935.\nAnswer: 5, 229, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18966 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -150 (base 15) to base 6\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 + -3 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231 and 14245?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/15*18\/4. Suppose f = 3*f - k. Let v be 8\/(-3)*f\/(-2). Solve m + 3 = d, 2*d + 0*d = v*m + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 13) in base 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - m + 0*m)*(-1 + 1 - 2)*(1 + 0 + 3).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -3*u. Suppose -g - 4 = g, 2*t - 10 = 2*g. Suppose -t*y + 104 = -5*l, 6 = l + u. What is the remainder when y is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*c**2 - 66*c**2 + 28*c**2 + 2*c + 2*c**3 + 24*c**2 to n + g*c + a*c**3 + j*c**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 + 0*k**2 + k**2)*(2*k + 5*k - 4*k) + 2*k**3 - 3*k**2 + 3*k**2 as q*k**3 + o + j*k**2 + z*k and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -11\/6*k**3 + 0 + k**2 - 21*k. Find the first derivative of x(y) wrt y.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:03 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 12*l**2 - 10*l - 2. Let z be (-2 - -3) + 1*12. What are the prime factors of u(z)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppyppuydyrrdpp. What is prob of picking 1 r and 1 y?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**7\/525 - b**6\/30 + 6*b**5\/25 + 54*b**4\/5 + 576*b**3\/5 - 13*b**2 - 14*b. Suppose a(z) = 0. Calculate z.\nAnswer: -6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 11:20 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5\/5 + 3828*v**4\/5 + 2436906*v**3\/5 + 512704832*v**2\/5 - 2080184856*v\/5 + 2089993824\/5 = 0?\nAnswer: -652, -633, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 6:16 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 529285644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1622 - 1627. Put -0.3, p, -6 in decreasing order.\nAnswer: -0.3, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/13 (b) 2\/13 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + ((sqrt(605) - (sqrt(605) - (sqrt(605) - (-1 + sqrt(605))))) + 4 - -4*2*sqrt(605))**2)*2.\nAnswer: 1760*sqrt(5) + 77492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z + 12*z + 3. What is the tens digit of -11 - -6 - z\/(3\/(-1878))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, h: 4}. Give prob of picking 4 h.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000638968 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 3:42 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 1. Suppose -b + 1 = -1. Let q be (-6)\/(-2)*b\/3. Let t(a) = 3*a**2 - 6 + a**2 - 6*a**2 - 3*a**q + a. Determine -6*l(j) + t(j).\nAnswer: j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + d + 12, -d - 144 = 4*r - 156 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 8292*y**3 - 8611226*y**2 + 34345464*y - 34312328.\nAnswer: -2*(y - 2071)**2*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 44 = -3*q. Calculate the least common multiple of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlljwjnx. Give prob of picking 3 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421, 839, 1257, 1675, 2093?\nAnswer: 2511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18 - 67)\/(2*(-2)\/32). What is the highest common divisor of p and 900?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14714534 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(a) = -3*a + 0 - 10*a + 3*a**2 - 3. Let q(j) = j**3 - 4*j**2 + 12*j + 4. Let r(z) = 3*q(z) + 4*x(z). What is the second derivative of r(o) wrt o?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**2 - 3*g. Let r be b(-1). Let q be (-2)\/(-9) + 112\/(-18). What are the prime factors of (q\/(-4))\/(r\/408)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 86*i**2. Let n(v) be the first derivative of -v**2\/2 + 202. What is q(n(f))?\nAnswer: 86*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 120 = 8 - 8. Calculate the highest common divisor of g and 5532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166760567?\nAnswer: 166760567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 3*n**5\/5 - 5*n**3\/3 + 61*n**2\/2 + 60. What is the second derivative of z(q) wrt q?\nAnswer: 36*q**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -371, -35, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -0.5. Let g = 1908 + -1907. What is the second biggest value in g, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*c*i**2*v**3 + 9*c*i**2*v**2 - 5*c*i + 2*c - 2*i**2*v**2 + 3*v**3 wrt v.\nAnswer: -54*c*i**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 27009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - 2*(sqrt(1700) + 1) - (0 + sqrt(1700))*-6) + (sqrt(1700) - (-4 + sqrt(1700) + 1*sqrt(1700))) + 1)**2.\nAnswer: 240*sqrt(17) + 27209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1734.222km to millimeters.\nAnswer: 1734222000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2521, 1724, 927, 130, -667?\n\"Answer: -797*i + 3318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 4*n. Let s be v(-5). Suppose 5 + 5 = s*c. Find l, given that 2*l**2 + 6*l**2 - 6*l**c - 2*l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -156837?\nAnswer: -156835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -3*c - 49 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -4 + 0)*(-2 + 3). What is the remainder when m\/(-2)*((0 - -3) + 55) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5022, -996\/11, -1\/3?\nAnswer: -996\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-272)\/80)\/(3328\/160 + -21)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (2 + 124300\/(-32)). Let r = 3878 - o. Calculate the common denominator of r and 15\/60 + 163\/4 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 42. Let g be n(30). Let o(z) = -z**2 - 15*z + 56. Determine o(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61.87 + 254.13. Sort 13, d, 4\/7.\nAnswer: 4\/7, 13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 591342?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 22 + 8*a)*(-21 - 13*a**2 + 21) in the form n*a**3 + m*a**2 + w + o*a and give n.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -5776 and -5778 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1354685*o**2 - 4304086*o wrt o.\nAnswer: -2709370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.7 + -32. Let d = -270.7 - -227. Let k = d - -43.4. Put k, u, 1\/4 in decreasing order.\nAnswer: u, 1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a**3 - 377*a**2 - 39*a - 106. What is c(42)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 146094\/42 + (-8)\/(-14). Calculate the highest common factor of o and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -13. Suppose -5*j = h*p - 11, 0 = 2*j - 0*j - p - 7. Factor -10*z**2 + 0*z**2 + 2*z**2 + 0*z**2 + 4*z**j + 4*z.\nAnswer: 4*z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775974 is divided by 99.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 6*o - 84. Let u be -126*-1*(-3)\/(-6). What is the greatest common divisor of o and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(256))\/(-1*2*sqrt(288)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -636717837 and 1.\nAnswer: -636717837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 376 and 879981.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*y - 71*y**3 + 39*y - 88*y**3 - 26*y**3 to the form p*y + w*y**3 + s + l*y**2 and give w.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s**2 + 32*s - 11. Let p(a) = -7*a**2 - 20*a + 7. Let l(n) = 5*d(n) + 8*p(n). Let x(f) = -14*f**2 + 3. Determine -3*l(z) + x(z).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p - 6*p + p in the form v + s*p and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 4*b**2 - 3*b + 4. Calculate the remainder when 0\/14 - 3 - 1\/(1\/(-212)) is divided by q(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/(-28))\/(-3)*-7. Let f be (i - -7)*(-1)\/3. Is f equal to -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 + 212242*z\/7 - 11667260\/7.\nAnswer: -2*(z - 106066)*(z - 55)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -22*y + 56. Let v(x) = -23*x + 44. Calculate -5*v(d) + 4*w(d).\nAnswer: 27*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1385565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -7.5. Let q be (-69)\/21 + 6\/2. What is the third biggest value in q, h, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o. Let u(l) = l**3 - 20*l**2 + 2*l - 12. Let h be u(20). Let k(q) = 45*q - h*q - 22*q. What is k(m(v))?\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3. Suppose 28 = t - k*t. Suppose 5*w - t = 4*w + n, 4*n - 119 = -3*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -371 + 1112. Suppose -4*u = 5*z - 1237, 2*u = 3*z - 6*z + s. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8336 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeqe when four letters picked without replacement from qeqyqqegzq.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/70*-10)\/(-2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 15922062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 377 - 377 = 0. Solve m = -0*k + 3*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from xgxffggfggggggff?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 896 and 504.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/51 + (-644)\/17. Let n = x - -38. Suppose n = -7*a + 38 - 3. Solve 0 = a*j + 2*v + 35, -2*v + 5 = 4*j - 7*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 12*d + 34. Let j be o(14). Suppose -j = -7*u + 8. Solve u*h = 4*f - 7 + 1, -2*h + 3*f = 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 37*w**2 - w + 75. What is the tens digit of c(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 71426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4 - 12274*r**3 + 38436017*r**2 - 4720810112*r = 0. What is r?\nAnswer: 0, 128, 6073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 6*v + 9. What is the lowest common multiple of u(7) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 13. Let r be z(-6). What is the third smallest value in r, -6, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19992*t**2 + 367932*t.\nAnswer: 39984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0071831 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11*r**2 - 340*r + 338. What is m(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84801 + -41901. Round s to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u**2 + 12*u**2 - 13*u**2.\nAnswer: 47*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32226320 is divided by 57547.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 181.5 times 2.542\nAnswer: 461.373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*a - 209 + 425 + 2*a**2 - 209 in the form b + k*a + n*a**2 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**2. Let b(a) = 3*a**2. Let z(q) = -5*b(q) + 2*l(q). Let c(p) = 20*p**2. Determine z(c(g)).\nAnswer: -400*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, t: 3}. Give prob of picking 2 b.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 0 + 6*n - 5*n - 2*n + 2. Let m = 1044 - 1044. What is g(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -7. Suppose -5*f + 15 = z + z, -5*z = 0. Is f < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4671340 and -151 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26250 - 26353 - 3*t - 2*t + 4*t + 0*t.\nAnswer: -t - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 - -1) - (-7 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*w = 59400. Suppose -3*b = -4*b + w. What is b rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 24*i**3 - 34*i**2 + 325*i - 3. Is 71 a factor of r(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 2, q: 1, e: 2, d: 2, i: 5}. What is prob of picking 1 y and 1 n?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-7))\/((-1126)\/(-3941)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - p + 25 = 0, 25*c - 58*p + 62*p + 125 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-54)\/((-4 - 39\/(-24)) + 2). Let a = 65 - 146. Let x = a + s. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/12, -19, 0.09, 36 in increasing order.\nAnswer: -19, 1\/12, 0.09, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 209*o**3 - 5*o**2 + 35*o + 7. Is s(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/5792982 and -95\/676.\nAnswer: 11585964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3255379157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 7. Let l = t + 0. Let c = -0.5 - -1. What is the third biggest value in 0, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4222 - -1529. Let z = j - -4452. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 287985\/44306 + 2\/22153. Let b(g) be the first derivative of -v*g**2 + 23\/4*g**4 + 7 + 0*g + 0*g**3. What is the second derivative of b(s) wrt s?\nAnswer: 138*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + sqrt(396) + sqrt(396).\nAnswer: 4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from rll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -418 + 213. Let k = b - -205.3. Which is bigger: k or -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505 greater than 3507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3419 is divided by 3377.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2668 and 2001.\nAnswer: 8004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2 = 5*w + 13, -3*w - 3*n - 21 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61810 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 50 = -4*r - 7*z, -4*r = 4*z + 52. Let k(j) = -3*j + 14. Let c be k(r). Suppose -5*m + c = 12. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.058 + -0.622. Let o = m - -16. Let w = o - 0.3. Round w to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3845 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s - 8. Let u(v) = v + 2. Let c be u(s). What is the third derivative of c*t**2 + 3*t**2 - 2*t**2 + t**3 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 154*c**3 - 28*c**2 - 28*c. Let g(b) be the third derivative of 17*b**6\/120 - b**5\/20 - b**4\/8 - 71*b**2. Determine 28*g(t) - 3*k(t).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(((-8)\/(-2))\/(14\/7))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (122\/14 - 3) + 6\/21. Let g(y) be the second derivative of 2*y + 0*y**2 + 0 - 1\/20*y**5 + 1\/60*y**4 + 2\/75*y**s + 0*y**3. Determine n so that g(n) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6544 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 107*k - 1 = 103*k, 4*k = -14*f - 54 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -i - 16, -2*v = -5*v + 4*i + 19. Let q be 8\/(-92) - ((-450)\/115)\/(-1). What is the remainder when (336\/36)\/(q\/(-6) + 0) is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 176*d**4 - 3*d**2 - 3*d - 6. Let t(p) = p**4 + p**2 - p - 2. Let h(f) = k(f) - 3*t(f). Find the third derivative of h(m) wrt m.\nAnswer: 4152*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t + 108. Calculate the remainder when t is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 24882?\nAnswer: -1492.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22293 - -33837. List the prime factors of c.\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 185*t + 0*t**2 - 199*t - 13. Let a be s(-11). Suppose -51 = -2*b - 11. What is the highest common divisor of a and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*sqrt(96))\/(((-2*sqrt(120) + sqrt(120) - sqrt(120)) + sqrt(120))\/sqrt(10))*2*3)**2.\nAnswer: 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217\/2 + -343\/3. Let b = m + 137\/24. Let a = 9057 - 9059. Sort -2\/15, a, b, 10.\nAnswer: a, -2\/15, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*w - 125 = 4*w, -5*b + 2*w - 125 = 0. List the prime factors of 63\/5 - (-15)\/b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 487493 + -192540. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfiwvuvvunvwvvfvfn. Give prob of sequence iw.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36782000 rounded to the nearest one hundred thousand?\nAnswer: 36800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1371 divided by -2\nAnswer: -1371\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**5\/30 + 9*g**4\/8 + 10*g**3\/3 - 11*g**2. Does 3 divide p(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 649 - 891 = 0. What are the prime factors of j?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/10 and -94\/525.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(sqrt(2299)*-2 - sqrt(2299))*-3 + -3*(-3 + sqrt(2299)*3)*-6.\nAnswer: -55 + 1188*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124932066.\nAnswer: 2, 3, 7, 424939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = z - 41, -z + 5*d + 7 = -2. Suppose 4*m - 6*m + 16 = -3*s, -4*s = 5*m + z. Let a be s*(2 + 68\/(-24)). Which is smaller: 9\/2 or a?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33*(-12)\/528)\/(3\/2). Let t be (-2 + 0)*165\/6. Let p = -221\/4 - t. Put n, p, -4, 7 in decreasing order.\nAnswer: 7, n, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*m + 25*m - 58*m + 342 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18758.5948 + 18762. Let j = -1 - 2.4. Let w = j + d. Round w to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 2*o**3\/3 + o**2 - 6. Find s, given that m(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 10*n + 102 = 0. Let v = -46 + n. What is the remainder when 12 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 + 48*c + 47. Calculate a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 231 - 153. Let g = n + -66. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, w: 2, n: 5}. Give prob of sequence nss.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*s + 2, -2*t - 5*s + 1257 = 0. Suppose i + 2*c - 213 = -0*i, -3*i = -2*c - t. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.1 - 3.5. Let l = k + -1. Let g be 1\/1 + (-3)\/(-2). Which is the third biggest value? (a) l (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006262 rounded to 7 decimal places?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39574331*y**3 - 30587736*y**2?\nAnswer: -237445986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197723790.\nAnswer: 2, 3, 5, 11, 199721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/897016189 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 421, -0.108?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1743175)\/15)\/(-7) - (-32)\/24 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 1\/15*i**5 - 71\/3*i**3 + 0*i**6 - 4\/105*i**7 + 0*i**4 + i**2 + 106 + 0*i. What is the derivative of n(m) wrt m?\nAnswer: -32*m**3 + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/sqrt(6))\/(sqrt(5) + (sqrt(180) - (sqrt(180) - sqrt(180)*-2)) + sqrt(5)) + 1.\nAnswer: -3*sqrt(2)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11129*r - 279. Let d(j) = 318*j + 8. Let g(i) = -279*d(i) - 8*l(i). Let x(h) = 2*h**2. Determine x(g(f)).\nAnswer: 192200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 11, z: 6}. What is prob of sequence zno?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6133, 1\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/36 + (-7)\/(112\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56749298?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3030001 (base 4) to base 9.\nAnswer: 18817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i = 0. Suppose -4*k = -b + 73, -2*b = -i*b - k - 125. Calculate the remainder when b is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -21. What is the closest to 2\/7 in i, -3\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -6*t + 52 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 3*d**3 - 4*d**3 - 1 + 3 + 4*d**2. Let q(g) = g + 16. Let j be q(-14). Let l be z(j). Which is smaller: -1\/3 or l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 - 121.02. Let g = k + 0.02. What is the third smallest value in g, -2, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 67, 2, 3, -4 in decreasing order.\nAnswer: 67, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 8. Let f(w) be the first derivative of 8*w**2 - w - 2. Let j be f(4). What is the highest common divisor of j and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -27*y + 92. Let t be b(-22). Suppose 316 + t = 6*o. List the prime factors of o.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.084745 to 1 decimal place.\nAnswer: 54.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 10:11 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 37494615 + 257915390 = i, -2*v + 196940015 = 3*i. Round v to the nearest one million.\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -296 bigger than -300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (1 - -1)) + -248 + 257?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -5, -16\/9, -6, 1, 2?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61052311 and 5108980?\nAnswer: 1221046220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 55 + 65 = 4*d, -5*r = -2*d + 60. Suppose 10 = w + 4. What is the highest common factor of d and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 52*j**2 + 11*j + 2. Let b(v) = -3*v**2 - v. Determine -5*b(q) - u(q).\nAnswer: -37*q**2 - 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 181.\nAnswer: -5\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*s**2 - 6*s + 2*s - 14*s**3 - 142 + 2*s + 57*s**2.\nAnswer: -14*s**3 - 2*s**2 - 2*s - 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2022, -2283, -2724, -3351, -4170?\n\"Answer: -h**3 - 84*h**2 - 2*h - 1935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53503924?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2001 (base 6) to base 5.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 3 - 410 = 0. Suppose -23*o + 25*o - 3*y = l, 3*o - 33 = -3*y. Solve -2*j - 3*x + o = -4*x, 6 = -2*j - 4*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9743821 is divided by 3321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1880 and -4019443?\nAnswer: 4021323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 761430, 761444, 761482, 761556, 761678?\nAnswer: 761860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/512 and 11\/5376.\nAnswer: 10752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1007 or -1006?\nAnswer: -1007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5787.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 736*g + 2082. Determine n(-3).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 75073*p**2 - 5. Let f(v) = -v. Determine n(f(x)).\nAnswer: 75073*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38418 + 238539 = 9*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**2 + 1856*i - 215296 = 0.\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 43?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 2*i - 2*i. Let s be 2 - 1\/(4\/12). Let t(l) = l + 1. Let x(o) = -2*o**2 - 4*o - 4. Let v(m) = s*x(m) - 4*t(m). What is f(v(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46344?\nAnswer: 2, 3, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let z = -3 - -5. Let o(n) = 13*n**2 - n**2 + 7*n**2 - 10*n**z. Determine o(t(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3221801 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022 rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517 - 1032 - 9*p**2 + 515.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z - 13. Give d(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -10)*(250\/(-45) - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25894 and 3630.\nAnswer: 388410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18189 and 1935?\nAnswer: 90945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - w - 1 + 2*w + 0*w**2. Suppose 13*i = -4*i + 119. Is d(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/2665494 and -52\/56955.\nAnswer: 13327470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 - -119. Find the third derivative of -72*q**3 + 29*q**3 + 36*q**w + 12*q**2 wrt q.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(144)\/sqrt(3) + sqrt(48))*1)**2 - (-1 + ((sqrt(3) - (sqrt(3) + sqrt(27))*-3)*3)**2).\nAnswer: -4366 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n = 44*n. Factor 1\/3*l**3 - 1\/3*l**2 + n*l + 0.\nAnswer: l**2*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 32*w**2 - 768*w + 27. Calculate p(24).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1464*k + 1368 - 18288 - 648. Calculate the remainder when 2\/(3 + -2) - -15 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137717?\nAnswer: 17, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qudl when four letters picked without replacement from dldbddluqdubbbuqu?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3720, -14848, -33398, -59376, -92788, -133640, -181938?\n\"Answer: -z**3 - 3705*z**2 - 6*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6324923 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*p**2*q*w**3 - 72*p**2*q*w**2 - 2691*p**2*w**3 + 2*p**2*w + 5*p**2 + 13*q*w**2 wrt w?\nAnswer: 108*p**2*q - 16146*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*a = 40, 5*d + a - 30 = 2*a. Let p(l) = 0*l - d*l - l - 88 + 2*l. Calculate the smallest common multiple of 16 and p(-28).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 22905972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 3:04 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - 6.2. Let g = 7 + u. Let q be ((-2)\/15)\/((-3)\/10). What is the biggest value in q, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4826350 and 0.0808.\nAnswer: -4826349.9192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (0 + sqrt(68))*4 - -4*(sqrt(17) + sqrt(51)\/sqrt(3) + -1))**2.\nAnswer: -144*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60352 divided by 2624?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1276496*j = 1277042*j - 10374 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5750 and 16360?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (4 + 13 - (2 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 78 = -2*f. Let t = 40 + f. What is the remainder when 17 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**6)\/c**(8\/3)*c\/(c\/((c\/(c**(-28)*c))\/c))*c**(-31) assuming c is positive.\nAnswer: c**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 5*p - 4*p)*(-p + 3 + 2 - 3)*(-194 + 38 - 25) to the form s*p + c*p**2 + y and give c.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252054 divided by 44.\nAnswer: -11457\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0158530125 rounded to five decimal places?\nAnswer: -0.01585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3586*b**2. Let m(r) = -2*r**2. Determine m(x(p)).\nAnswer: -25718792*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119*i + 62*i + 57*i - 11 + 20*i**4 with respect to i.\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 - 12*i**2 + 21*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.227, 2, 0.5 in increasing order.\nAnswer: 0.227, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 778818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 40 = -46 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**23*h)\/h))**25\/((h\/h**(-9\/2))\/(h\/(h**(5\/6)*h))) assuming h is positive.\nAnswer: h**(-1744\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4*d = 15, 5*y - 1655 = -5*d. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2 = t. Is -2 - (t - -143)\/(-3) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*j**4*r**3 + 3*j**3*r**3 + 7*j**2*r - 12*j*r - r**3 wrt j.\nAnswer: 576*j*r**3 + 18*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 110 in decreasing order.\nAnswer: 110, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (0 - (0 - -25)). Suppose 4*a = -3*l - 0 + x, -4*a - l + 35 = 0. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4753 (b) -0.4 (c) -2\/7 (d) -1 (e) -0.1 (f) -4\/3 (g) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2221 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1 - z + 5*z**2 + 0*z - 4*z**2. Suppose 3*s = 3*d, 2*s - 5*d + 10 + 5 = 0. Suppose 2*u = -8 - 2, -s*y + 10 = u. Calculate l(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11274 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9*g + 94. Let o be j(-10). Suppose 0 = i - 2 + 7. Let t = i - -10. Which is smaller: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4278*h + 8532*h - 4272*h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68233397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9709367?\nAnswer: 9709367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13866*s**3*w**4 - 2*s**3*w**2 - 230*s**3*w + 3*s**2*w**2 + 2*s**2 - 2*s*w**4 wrt w.\nAnswer: -332784*s**3*w - 48*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -17*h**6\/40 - 14*h**3\/3 - 17*h**2 + 2. What is the derivative of g(u) wrt u?\nAnswer: -153*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - ((-4 - 0) + 3). Suppose 0*t + d + 38 = t, -t + 3*d + 46 = r. Let o = -33 + t. Solve j + 4 = -o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.3766318 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 142913 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/5 - 556*z**2 - 53201*z\/5 + 11196.\nAnswer: (z - 2799)*(z - 1)*(z + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/15 - 4\/(-3). Let h(d) = d + 0 - j + 0. Suppose b - 8 = -3. What is h(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35528, -35454, -35380, -35306, -35232, -35158?\nAnswer: -35084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpop when four letters picked without replacement from {x: 4, o: 2, k: 1, r: 1, p: 2, m: 2}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - k - 1. Let a(v) = 4*v**3 - 2*v**2 - 2*v - 2. Determine 6*a(c) - 12*o(c).\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19155\/12 - -1 - (-4)\/(-16). Suppose -p + u = -4660. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 = -5*o + 416. Calculate the highest common factor of o and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16951 - 16952. Put 0, 2718, -2, d in decreasing order.\nAnswer: 2718, 0, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 4*n**2 - 1. Let v(q) = -105*q. Calculate -40*g(o) - 3*v(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, m: 1, y: 2, n: 2, l: 1}. What is prob of sequence mgml?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27128985311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 69 + 12 = 0. Let v(i) = 129*i - 281*i - 34 - i**2 + 131*i. Let q be v(w). Solve 18 = 3*j - 3*h, 4*h + 32 - q = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-79920)\/31080*6\/(48\/(-364))\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p + 33. Determine a(-13).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102205842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**2)\/k*k)**(-2\/15))**(1\/28) assuming k is positive.\nAnswer: k**(-1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/419921 - -14147558419\/3359368. Let h = 4224 - r. What is the common denominator of 79\/2 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 11:57 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 33*u + 1. Let n be p(3). Suppose 4*q - n = i, -4*i = 2*q + 3*q - 146. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1111, 17.\nAnswer: -1111, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**2\/2 - 19. Let r(c) = c**2 - 11*c + 15. Let f be r(10). Let q(t) = 0*t - 7*t + f*t - 6*t. What is k(q(j))?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 2*l**2 + 26*l + 5. Let v be t(-5). Suppose -2*y + 100 = 2*y. Calculate the greatest common factor of y and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 3*k - 4. Let w be b(3). What is the derivative of 28 + w - q + 9 - 2*q**2 - 10 wrt q?\nAnswer: -4*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 22*g - 26*g + 10 = 0, -10 = -5*t + g. What is the second derivative of 3 - 86*v + 379*v**2 - 3 - 543*v**t wrt v?\nAnswer: -328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3677 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -17*p**3 + 3*p**2 + 2*p + 8. Let y be k(-4). Suppose c - 155 = -y. Let n = -142 - c. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 14) + 4 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:25 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 250928.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 209*a**3*g**3 + 5*a**3 + 4*a**2*g**2 wrt g?\nAnswer: 1254*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 18 (b) -5 (c) 2 (d) 0 (e) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/43 + (-12111)\/(-78905).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100\/3*o + 0 + 0*o**2 - 4\/3*o**3.\nAnswer: -4*o*(o - 5)*(o + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 3*l. Let c be f(-3). Let t = c + 27. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 89*t**2 + 466*t - 373. Let y be q(-94). Solve -y*s = -0*z + 4*z + 4, 0 = 5*s + 2*z + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 2462*j - 2447*j - 20, -3*i + j = -28 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 121567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518840 is divided by 427.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 16 + 10 - 35.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3, 14.95, -0.3.\nAnswer: -0.3, 3, 14.95, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2395357 - 2395357 - 7*a. Let i(r) = -r - 56. Calculate i(h(q)).\nAnswer: 7*q - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1974.6 - -1974. Which is the third biggest value? (a) 0.1 (b) l (c) 1 (d) 2 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 26 = 2*w, -4*w + s - 8 = -8*w. Let y(t) = 2*t**2 - 41*t - 4*t**2 - 1 + 43*t + 5*t**w. Calculate y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from tnkrktkkkrrfnkr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001905 rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/3 + (-5 - (-64)\/12). Let y(n) = 36*n - 18. List the prime factors of y(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.402 + 0.598. What is the fifth biggest value in 12, u, 4, -6\/7, 0?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 5*u + 13. Let c be d(-6). Let f(h) = -h + 1. Calculate f(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-1 + -3) + 1. Let c be 77\/a + 6\/10. Suppose -12 = -3*y + 5*i, -y - 4*i + c = -5. What is the smallest common multiple of y and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*8518360.\nAnswer: 212959000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1115*q**2. Let b(h) = -15*h**2. Determine b(p(k)).\nAnswer: -18648375*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*g + 2*o, -5*o - 2 - 4 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0.2, -0.3, 35.5, 4\/3, -2 in ascending order.\nAnswer: -2, -0.3, 0.2, 4\/7, 4\/3, 35.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2330134 (base 5) to base 6.\nAnswer: 524544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27424, 54847, 82272, 109699, 137128, 164559?\nAnswer: 191992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (32316\/10128)\/(2 - 131\/16). Let w = p + 1\/1899. Find the common denominator of w and -13\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*a + 35*a + 2. Let m(h) = -3032*h + 3028*h - a + 2. Let w(f) = -7*f. What is m(w(l))?\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 34. Give m(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*(j*j**(-2\/3)\/j)\/j*j)\/(j\/((j*j**(-1)*j)\/j)*j))\/(j**4\/j)**(-27))**(5\/7))**31 assuming j is positive.\nAnswer: j**(5270\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8673 and 108?\nAnswer: 312228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*u - 151*u = 2*h - 14, -8*u - 27 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - -5*(sqrt(153) - (sqrt(153) + sqrt(153) + (0 + sqrt(153) - sqrt(153)))))*-3.\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -21552?\nAnswer: -21546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 + 2181*l**3 - 10812*l**2 - 12996*l.\nAnswer: -3*l*(l - 722)*(l - 6)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7281, -14503, -21631, -28617, -35413, -41971, -48243, -54181?\n\"Answer: 8*q**3 - q**2 - 7275*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 4*w - 1. Let k(z) be the first derivative of -1\/2*z**2 - 59 + 0*z. Determine f(s) - 4*k(s).\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62.43 - -13.28. Let b = p + 50. What is b rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9008, 37177, 84102, 149777, 234196, 337353, 459242, 599857?\nAnswer: 759192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/13 - 78906*z\/13 + 11801396\/13.\nAnswer: -2*(z - 149)*(z + 39602)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (151 - 169) + 5 + -4 + 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**6\/3 - 7*b**5\/5 + 2*b**4 - 2*b**3\/3 - b**2 + b + 2. Determine s, given that p(s) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -40*b + 551. What is o(14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5092.805mg?\nAnswer: 0.000005092805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**3\/2 + 3655*f**2\/2 + 35505*f + 90000 = 0?\nAnswer: -16, -3, 750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3835, -3667, -3499?\n\"Answer: 168*d - 4003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgkpkxvpxpxxggpxx. What is prob of sequence pk?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22287.\nAnswer: 3, 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9928, 9927, 9926?\nAnswer: 9925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in -2\/5, 0.5, 0.3, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 63*o**2 - 11154*o + 11617. Give m(176).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 20*o**2 - 101*o - 1249. What is u(12)?\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, y: 3, a: 2, j: 12, e: 1}. What is prob of picking 1 n and 2 j?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-five halves of a millimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 11*c**2 + 3*c + 3. Suppose 0 = -5*b + 3*q - 29 - 47, 0 = -b - 2*q - 23. Let r = b + 20. Is j(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13833)\/(-58))\/(-53)*(2\/(-4))\/(5778\/48)\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4 - 9. Let g(k) be the first derivative of 0*k - 1\/2*k**2 - 2 - 1\/5*k**u - k**3 - 3\/4*k**4. Factor g(j).\nAnswer: -j*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 1 - 4*s**2 + 3*s**2 + 8*s + s. Let k = 56 + -47. Let n be j(k). Solve -2*o = n + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 + 202012201222?\nAnswer: 202012202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 3. Let v(f) = 1. Suppose 2*y = -3*y + 10. Determine y*v(a) - c(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t + 11. Let u(n) = n. Let r(q) = 4*u(q) + w(q). What is the tens digit of r(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 - 7*h**2 - 121*h + 387. Determine f(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(6)\/sqrt(3) + 1.\nAnswer: sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -0.2, -1, -13, -1.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*g = 6*g. Let w(f) be the second derivative of f**6\/720 + f**5\/20 + 7*f**4\/3 - 3*f. Let o(q) be the third derivative of w(q). What is o(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10506 = 39*w - 45*w. Suppose -3*v - 407 = q - 1278, 2*q + 3*v - w = 0. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -83*t**4\/24 - 270*t**2 + t. Let j(w) = 3*w + w - 2*w. Determine j(q(h)).\nAnswer: -166*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/(-14))\/((-15)\/(-80))*1. What is the greatest common factor of k and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -582 + 587. Suppose w*y + 771 = o + 3*y, 5*y + 2312 = 3*o. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Suppose 0 = 12*d - 3*d - 18. Suppose 5*i + 3*x - 15 = 0, 6 = d*i - 0*x - 3*x. Sort i, l, -3 in decreasing order.\nAnswer: i, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**8\/6720 - k**7\/420 - k**6\/144 + 7*k**5\/120 - k**4\/8 - 3*k**2. Let i(f) be the second derivative of c(f). What is i(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**2\/2 + 22*c + 4. Find the first derivative of a(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 15 = 7*u. Suppose u*h = -2*i + 44, -4*i + h + 59 = -1. What is the smallest common multiple of i and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**11)**(-2\/15)\/(o**(7\/6))**7)**21 assuming o is positive.\nAnswer: o**(-2023\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3873\/5)\/((-33)\/22). Let p = m + 517. Factor p + 3\/5*k**2 + 2*k.\nAnswer: (k + 3)*(3*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*s = 24. Solve 17 = s*j + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/2 - (-4 - 3 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457 = 3*p - 7*a + 2*a, -4*p + 5*a = -611. Suppose 0 = -5*w - 2*i + 538, 3*w - 184 = -5*i + p. Is (-1)\/(((-4)\/w)\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Let s(p) = -1. Let l(f) = -7*f + 4. Let g(w) = -l(w) - 5*s(w). Is g(x) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887781647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68\/13 - -1363\/273. What is the common denominator of -26\/21 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m - 4. Let y be f(-5). Let g be 64\/110 + (-2)\/y. Do g and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38749 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0*d + 1\/12*d**4 + 0 - 163*d**2 + 47\/60*d**5 - 118\/3*d**3. What is the first derivative of z(p) wrt p?\nAnswer: 94*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/9*-8)\/(10\/(-15)). Which is the smallest value? (a) 0 (b) -4 (c) 4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 599 - 599.4044. Let b = -0.4 - q. Round b to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/6 not equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.258342838 to five dps.\nAnswer: 0.25834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 101833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 178582 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34102 + 10234011?\nAnswer: 10144404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from {g: 1, s: 5, p: 4, q: 2, x: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 4*x**3\/3 + 5*x**2\/2 - 21*x + 60. What is the hundreds digit of r(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 6*b - 28 = 2*b, -b + 21 = 3*s. Suppose -7*h - 33 = -s*h. Calculate the remainder when 130 is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5867439271 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011771356 to 6 dps.\nAnswer: 0.011771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1161 - -8*12\/96 and 1992.\nAnswer: 13944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 3, 4, -16 in descending order.\nAnswer: 4, 3, -16, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/(-21) - -4 - 22?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -16*j + 261. Let l be k(16). Let o(v) = -14*v + 200. Let q be o(14). Solve 5 = l*d + 3*x + 25, -q = d - 4*x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -1)\/(-4) - -1. Suppose z = 4*s - 3*d - 4 - 123, s - 23 = -d. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**3 - 3075*v**2 - 432000*v - 17617500 = 0. What is v?\nAnswer: -435, -90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26267.379 - 26268. What is the closest to 2 in 0, f, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -176*x - 159*x + 342*x + 4*r, 2*r = 4*x - 0*r - 50 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039 to 6 decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - 2*r**2 + 2*r**2 + (r + 0*r + r)*(-320*r + 172*r + 164*r) to the form f*r + a*r**2 + g and give a.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 q when three letters picked without replacement from {v: 5, o: 3, y: 6, q: 2, b: 1}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - r - 16, -4*r + 11 = -z. Suppose -5*m + 3465 = z*f, 3*f + 2*m - 2075 = -2*m. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-2 - (-13 - (-11 + 7)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109890162*d**3 - 66925142.\nAnswer: -329670486*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 222000 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234999 is divided by 23457.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*sqrt(63)\/sqrt(7))\/(3*(sqrt(3) + sqrt(27))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -0.98.\nAnswer: 0.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 42318.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-7)\/1)\/(-4 + -14)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 105700180225\nAnswer: 105700180225.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 18*v + 57. What is the remainder when j(-2) is divided by ((-3 - (-4 - -5)) + -1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n + 6. Let d(t) = 4*t - 5. Determine 4*d(s) + 3*f(s).\nAnswer: 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*g + 20, -3*g - 4*o + 12 = -2. Let k = g - -5. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 15, 11*p = -n + 12*p - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516475.6 + 6.67?\nAnswer: 1516482.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**4 + 7602213*g**2 + g + 21559821.\nAnswer: -48*g**2 + 15204426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -415*g - 9556. Determine p(-23).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/30)\/(-1) + (17\/714 - (-1)\/7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*5*1 + sqrt(360))\/(3*sqrt(10)\/(sqrt(40)\/sqrt(8))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 (base 16) in base 10?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + r = 54. Let c = 12 - r. Solve -c*l = -4*h + h, 0 = -2*l - h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 874.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6 = -2*r, -5*v + 3*r + 14 = -r. Let y(q) = 48*q + 1. Let b(i) = 144*i + 1. Let z(g) = 3*b(g) - 8*y(g). What are the prime factors of z(v)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 + 68. Which is the fourth smallest value? (a) -0.08 (b) 1\/4 (c) -0.3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/2)\/t)\/t**(-4))**(12\/13) assuming t is positive.\nAnswer: t**(18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*x + 737*x - 367*x + 50*x**2.\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197 + -105. Suppose 8*i = k + 4. Calculate the remainder when 70 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(396))**2 + -2 + -4.\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23391 - -1894694\/81. Let x = t - 1321\/5508. Is x less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -12. Calculate the smallest common multiple of w and ((-32)\/20)\/((-2)\/25) - 6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25)\/(-10) - (-84)\/(-8). Let i = m + 8. Solve i = -4*t - 0*r - 2*r - 22, 2*r = 5*t + 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*y - 3 + 26, -3*y + 12 = 0. Let c(h) = -h + 11. Let f be c(7). Suppose -t = z - f. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18840)\/(-216) + (-4)\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 150.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -676\/15 or 2\/55?\nAnswer: -676\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53849668 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 610980 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 - (-12)\/((-10)\/(-5)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 3, -3 in increasing order.\nAnswer: -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2959 = g, -11*y + 4950 = -6*y - 2*g. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.07 - 1.93. What is the fourth biggest value in 0.41, 5, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(190)*-1)\/(6*sqrt(40) + sqrt(10)) - (sqrt(6897)*2)\/(sqrt(147)*-2).\nAnswer: 136*sqrt(19)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + z + 11 + 24 = 0, 3*k + 3*z = 3. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -60, -113, -154, -177, -176, -145?\n\"Answer: p**3 - 60*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiiiiiiiiiri.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 f when three letters picked without replacement from {w: 11, f: 3, c: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13*k**3 + 2*k**2 - 28*k - 9. Let p(o) = -94*o**3 - 13*o**2 + 197*o + 59. Give 20*c(m) + 3*p(m).\nAnswer: -22*m**3 + m**2 + 31*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5, 4, 9, -32 in decreasing order.\nAnswer: 9, 5, 4, -0.1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 874 divide 221313406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10662813 is divided by 313?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4 + 14 = 0. Find the third derivative of 3*b**5 + 0*b**2 + b**x - 3*b**2 - 2*b**5 wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70151786*g**4 + 67070328*g**2?\nAnswer: 1683642864*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -23 + 0*r + 0*r**2 + 22\/7*r**7 + 0*r**5 + 0*r**4 - 7\/3*r**3 + 0*r**6. What is the third derivative of u(f) wrt f?\nAnswer: 2640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1442002*j**3 + 2*j**2 - 3*j + 14. Let l be f(2). Round l to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.63 in 2\/7, 2\/15, 4, 8\/19, -1?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 45*i = -41*i - 74, 4*j - 52 = -4*i for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 + 2*f. Let r(d) = -3*d**2 - 2*d - 1. Let h(s) = -2*g(s) - 3*r(s). List the prime factors of h(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14178*y**2 + 15 - 9 - 6.\nAnswer: -14178*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 15. Suppose -s*u + 3*u = -35. Let q be ((-14)\/u)\/(6\/(-5)). Which is the second smallest value? (a) q (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -17355?\nAnswer: 17353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*z**3 + 5)*(29*z + 64 - 26*z - 4*z).\nAnswer: 2*z**4 - 128*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/9)\/(-7)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133984352 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a meter in centimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 182 = 3*k + 23, -15 = 5*v. What is the second derivative of 31*o - 19*o**5 - 101*o + k*o wrt o?\nAnswer: -380*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Suppose h = 5*j + 4 - 19. Suppose -o + 2*t = 4, -5*t + 14 - 5 = -j*o. Solve 2*q - 6*p = -o*p - 26, 5*q - 3*p + 30 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*s**3 + 3*s + 331*s**3 + 334*s**3 + 9*s - 641*s**3 + 310 + s**2 as i + x*s + w*s**3 + q*s**2 and give i.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*-2*((sqrt(14)\/(sqrt(4)\/sqrt(2)))**2 - (sqrt(7) + 0 - sqrt(7))*-4 - 4*(sqrt(847) + 2)).\nAnswer: -2 + 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**3 - 3*x**2 - 3*x. Calculate the least common multiple of t(-2) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*a + 2 = -5*g, 3*g = -2*a + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1756062 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*d + 15*d - 9*d)*(d**3 + 3*d**3 - 6*d**3).\nAnswer: 62*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 + 0.93. Let n = -0.05862 - 0.34138. Which is the second smallest value? (a) n (b) 1\/3 (c) z (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 2\/((-2)\/(-7)). Let w(c) = c**3 + 2*c**2 - 12*c - 15. Let k be w(h). Solve r - 2*x + 0*x = k, -x = -3*r - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 14*t**2 - 12*t - 13. Let h be f(13). Suppose 0 = -h*s - 3*s + 63. Calculate the remainder when s is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432 = -6*t + 54*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22.18 times 8\nAnswer: 177.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = 104. Suppose -5*b = -19 - v. Let n(p) = 10*p**2 - b*p**2 + 0*p**2. Let z(f) = 3*f. What is z(n(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 365 - -7. Let d = t - 13026\/35. What is the common denominator of d and 1\/49?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*r - 3 - 2, -5*z = 25. Let n = 0 - r. Let m(u) = -u - 4. Calculate the remainder when n is divided by m(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 + 83 - 0) + (-60 - -41)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 13) in base 3?\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a6b (base 13) to base 6.\nAnswer: 30224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -5 (c) 17.7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (27\/(-32))\/3*16\/(-12). Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4330 is divided by 2149?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1620020 + -1?\nAnswer: -1620021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - 0 - (-11 + 13 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2448) + -1 + sqrt(2448) + -1 + sqrt(2448))**2 + 2.\nAnswer: 216*sqrt(17) + 22043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -440862, -881723, -1322582, -1763439, -2204294, -2645147, -3085998?\n\"Answer: r**2 - 440864*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*m - 6221, 0 = -27*m + 24*m - 3*q + 4677. List the prime factors of m.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 31*x + 192. What is n(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.054175*-1.298.\nAnswer: -0.07031915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1938 and -2?\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 3*n. Suppose n = 2*q + 10 - 46. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 7, m: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -1023.37.\nAnswer: -1027.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((3*sqrt(720) + 1 - sqrt(720)) + (5*(-1 + sqrt(720)) + sqrt(720) - sqrt(720)) + 3)*6 + 1)**2.\nAnswer: -7056*sqrt(5) + 1270129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 3*b**5\/10 + 23*b**4\/24 + 9*b**2 - 5. Let l(y) be the second derivative of p(y). What is the second derivative of l(q) wrt q?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34337 + -34267. Solve 52 = 57*o - r*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 412 + -409. Solve -5*l = -s*p + 3, -5*l + 2 = -3*p + 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*-1 + -3 + 5)**2*1 + (sqrt(1216) + (sqrt(1216)*-1 - sqrt(1216))*-2 + 4*sqrt(1216)*-3)**2.\nAnswer: -32*sqrt(19) + 60804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, -33352.5 in descending order.\nAnswer: 0.4, -5, -33352.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -96221? (a) 0.1 (b) 0.5 (c) 2\/15 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - t - 478 - 1249 = 0, 1751 = k + 5*t. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k**3 - 8*k**2 + 22*k - 21. What is the remainder when z(2) is divided by 12\/8*82\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -181\/58?\nAnswer: -181\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2252 is divided by 1121.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/3 = 3060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlgltjtlgjjtljnjjj. Give prob of sequence gj.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.3 and -22603.6?\nAnswer: 22604.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 20 - (1 - -4) - -4 - -11\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -23. Let b = -99 + 101. What is the nearest to d in b, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - 2. Let w = d - -54.996. Let h = w - 0.036. What is the nearest to 1 in h, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.81 - -0.01\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = -0*k. Suppose 456 = k*g - 3*r, 0*g - 2*g + 304 = -3*r. Suppose 3*d - 13 = g. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/99 and -71\/63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:08 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 97483247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 75 = -3*v - 5*m, 5*v = 5*m + 345. Calculate the greatest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 10*c + 6 = 0. Let t be c + 0 - 20\/(-5). What is the derivative of t + 12*z**4 - 2 + 6 wrt z?\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -15.07202?\nAnswer: -1.507202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2258.\nAnswer: -4, 0, 2258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203020103 (base 4) to base 2.\nAnswer: 100011001000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 121?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 188. Suppose -146*n + 3746 = 373 + 15. What is the remainder when k is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 - 3 = 2*s, 2*s - 3 = -3*t. Solve 2 = -w - s*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118 by -2.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-56)\/(-16))\/(((-39)\/30)\/(-13)) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3003 + 6*c**3 + 3688 + 13*c**3 - 685.\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 59 + -61 - (36\/(-5))\/2. Factor -2\/5*o**4 + 0 + w*o**3 + 4\/5*o - 2*o**2.\nAnswer: -2*o*(o - 2)*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4653*h - 1. Let f(s) = -s. Give -6*f(j) + p(j).\nAnswer: 4659*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 12*h**2 - 62239*h - 373429. What is t(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*w - 0. Let f = w - 16. Calculate the highest common divisor of f and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 225, 219, 211, 201, 189?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 687 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 10 = a + 1, -3*o - 15 = 0. Suppose -a*b - 5*v + 17 = 0, 5 = 4*v + 1. Let j be 6 + (b - 15\/3). Solve -3*m + j = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g. Let t(w) = -w**2 - 7. Let z(u) = -1. Let y(o) = -2*t(o) + 14*z(o). What is y(l(h))?\nAnswer: 50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 74316?\nAnswer: 74316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 391*-37.\nAnswer: -14467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2 - k - 1. Let q(d) = -d**2 + 1. Let l(r) = q(r) + s(r). Let f = 2 + -1. What is l(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*r**3*s**5 - 88*r**3*s + r*s**2 - s**6 wrt s.\nAnswer: 360*r**3*s**2 - 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 17388 = 2*p. Suppose 0*n = 18*n - p. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 + 2*m. Let b(r) = 5*r**2 + 5*r - 1. Calculate -2*b(i) + 5*v(i).\nAnswer: 5*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 14 + 12 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsviviivvsviivivvi. What is prob of picking 1 i and 1 v?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 4*g - 16, g = -4*p + 4659 - 4637 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0108 - -0.005. What is g rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -60583?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -j + 67, 52*j + 2*z - 3208 = -3226 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 307*f + 1566. Give c(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:12 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.7 + 4.8. Let a = b - -3. What is the smallest value in 4, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**3 - 2*i**3 - 4*i**3 - 2*i**3 + 0*i**3 + i**3 + (3*i - 5*i + i)*(6*i**2 - 2*i**2 - 3*i**2) - 4*i**3 + 3*i**3 + 0*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 3*o + 4*o**3 + 4*o - o.\nAnswer: 4*o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*j - 3*j + 8*j)*(2 - 5 + 1) - j - 2 + 2 in the form o*j + k and give o.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1 + 0 + 55. Suppose 2*t = -3*n + 6*n + w, 2*t = -5*n + 40. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29802, -59543, -89282, -119019?\n\"Answer: r**2 - 29744*r - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113486 and 358?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*6\/(-16))\/((-36)\/96). Let w = 7 + -7.3. Sort j, 0.4, w in increasing order.\nAnswer: w, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15373629 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -45. Let i(b) = b**2 + 3*b - 8. Let x(r) = -r + 3. What is g*i(s) - 8*x(s)?\nAnswer: -3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.05 (b) -155 (c) -0.5 (d) 0.4 (e) 52 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + (7 - 0))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*y + 299 - 23 = 0, -1404 = 5*g + 2*y. Let h = g - -284. Solve 0 = 3*v + h*f - 0*f + 5, 4*v + 8 = -4*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -323, -643, -945, -1223, -1471?\n\"Answer: j**3 + 3*j**2 - 336*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 76328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3122426 + 3837278 + 6533226 = 333*x. What are the prime factors of x?\nAnswer: 2, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*v - 3*v - 151, -3*v = 5*p - 246. Let o = v - -237. Does 63 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4 - 2*p**2 + 0*p + 2*p + p + 2. Let n(c) be the second derivative of c**4\/12 - c**3\/3 + c**2\/2 - 161*c + 3. Give -5*n(z) - 3*q(z).\nAnswer: z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9464, 10743, 30950?\n\"Answer: 20207*l - 29671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 86*x + 760. Let w be a(10). Sort 41, 7, w in descending order.\nAnswer: 41, 7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 - -59. Let u = f + 28. Suppose 4 = u*i - 2. What is the smallest common multiple of i and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15706758, -31413507, -47120256, -62827005, -78533754?\n\"Answer: -15706749*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 1:43 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*b = 43*b + 1274. What is the remainder when b is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64783.31 years to millennia.\nAnswer: 64.78331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -48*y**2 - 16*y + 6 - 2 + 46*y**2. Let c be m(-8). Solve c*k - 2*k = -4*i - 14, -2*k = i + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22530857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(5*k**4 + 0*k**3 - 4*k**4 + 3*k**3 - 2).\nAnswer: -k**4 - 3*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 1695*p**3.\nAnswer: 1695*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*h**3 - 104*h**3 - 97*h**3 + 310*h**3 - 4588 - 568 to the form p + z*h**3 + d*h + s*h**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, u: 8, o: 1, f: 1, p: 1, k: 2}. What is prob of picking 1 o and 1 k?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 891 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 15 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/5 + c**3\/5 + 3*c**2 + 23*c\/5 + 2.\nAnswer: -(c - 5)*(c + 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 - (-174 - (-7190092)\/40950)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23633.\nAnswer: 23633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109640 by 1198.\nAnswer: 54820\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, 10, 44, 106, 202, 338, 520, 754?\n\"Answer: s**3 + 5*s**2 - 10*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 440, -1, 0.24, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2503002 is divided by 2502949?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 plus 4.5196?\nAnswer: 4.3896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -10fd0c6?\nAnswer: -10fd0c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 18. Solve r = 3*n + 2*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 32. Let o = t + 5. Is o <= 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78800000 to the nearest 1000000.\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 163 - 77. Let v be (-14)\/(-63) + x\/18. Suppose v*n - 8*n + 3 = 0. Is n < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/18 and 107\/648756?\nAnswer: 648756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -75 in -4\/7, -1\/2, -1, 10\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-14) - (-5)\/7. Suppose -113*x + 2*h = -109*x - 24, 39 = 5*x + 2*h. Solve -2*v - x = -d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 68*q**2 - 17. Let b(i) = 23*i**2 - 6. Let r be 18\/4 - (-222)\/148. Determine r*x(m) - 17*b(m).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1eac2 + -29?\nAnswer: -1eaeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(3) - (sqrt(30)*-1)\/sqrt(10)) + -5).\nAnswer: -4*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -29. Let i be (-62)\/(-10) - j\/2. Let q = i + -37\/10. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3992 + 3851. Suppose -f - 1108 = -5*u - 209, 0 = -2*u - 2*f + 362. Let a = u + c. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.288 and -0.7478.\nAnswer: 17.4147664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-5))\/(4921\/(-1295)). What is the third smallest value in -2\/9, n, 2, -459?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 2*p**2 - p. Let t(j) = -478*j**4 - 8*j**3 + 406*j**2 - 8*j. Let z(r) = -8*l(r) + t(r). What is the third derivative of z(q) wrt q?\nAnswer: -11472*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3397729320 and 580?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16343 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/466151 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 37\/2. Let k = -10 - -24. Let s be ((-4)\/6)\/(21\/k). What is the third smallest value in -3, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 17\/753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.462 - -0.962. What is the fourth smallest value in 0.2, 4, -0.14, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 93. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-50)*-5*5. Let u = y - -8. Let j(p) = 3*p**3 - p**2 - 3*p + 1. What is j(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*p - 64*p + 159*p.\nAnswer: -31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18 - (-1968)\/(-112))*(2\/(-3) - -1). Which is the closest to t? (a) 9\/4 (b) -1 (c) -0.4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 14, -574 = -5*r - 5*i + 42476. List the prime factors of r.\nAnswer: 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 25. What is m(-27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 - 2*u**3 - u + 0*u + 19*u**2 - 17*u**2 to t*u**3 + c*u**4 + k*u**2 + h*u + y and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -1) + 14 + -11. Which is the biggest value? (a) -5 (b) -0.2 (c) x (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -17. Let n be 5\/t*6\/5. Sort n, 5, 4\/3 in descending order.\nAnswer: 5, 4\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 4*i - 5. Let z(d) = -5*d**2 - 15*d + 20. Let m = -22 + 28. Let o(c) = m*z(c) + 25*q(c). Factor o(a).\nAnswer: -5*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 + 2)*(43*d**3 + 168*d**4 - 24*d**3 - 17*d**3) in the form m + y*d**4 + c*d**3 + g*d + t*d**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/217*126\/432.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90.61259 + -90.57. Let d = x + 667.65741. Let p = -639 + d. What is p rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1414 - -1419. Solve 4*h = s*b + 41, 0 = -2*h - b - 0 + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 5*r**2 + 8*r. Let m be q(4). Suppose -3*w + 3*l + 5 + 19 = 0, 4*l - m = 0. Let h = 222 + -129. Calculate the remainder when h is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2 + 5 + 0*g + g. What is y(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let h(n) = 10*n - 4. Let j(c) = -11*c + 5. Let t(s) = -6*h(s) - 5*j(s). Give -6*k(d) + t(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011101010100011111 (base 2) to base 13.\nAnswer: 5c82a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 55) + -21 - -104.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5693 = -2*i - 5*l, i - 3*l - 150 - 2691 = 0. Let g = -197 + i. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*b**3 - 89*b**3 - 3*b**2 + 348*b**3 - 64*b**3 - 80*b**3 + 49*b as u + m*b**2 + d*b + f*b**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3798392, 3798391, 3798390, 3798389, 3798388, 3798387?\nAnswer: 3798386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 7, t: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uurwuwruuuuuurru. Give prob of picking 1 w and 3 r.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3369*p**2 + 14*p + 3. Is v(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.9 + 6. Let s = -128\/19 - -602\/95. What is the third biggest value in m, -5, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194072, -388260, -582448, -776636, -970824, -1165012?\nAnswer: -1359200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9 - (58340\/(-4830) - -8)) + 1 + 4 and 16\/27.\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2 - -3. Let u = 2055 - 2052. Sort u, -1\/9, -4, o.\nAnswer: -4, o, -1\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2155 + 2309. What is the greatest common divisor of 182 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 72\/10 + (-2)\/10. Let l be 2\/u + (-44)\/7. Let b be (-15)\/l - 1\/2. Solve -3*m = b*m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*z - 85*z - 25*z)*(-1 + 2 + 1)*(4 - 1 - 1)*(8 - 3 + 12 + 12) to the form m + x*z and give x.\nAnswer: -16240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -17621*y - 211294. Give b(-12).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 9*o**2 + 10*o + 21. What is p(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6073*g - 57586 + 62302 - 241563 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.36550135 - -412.63465965. Let u = 413 - q. Round u to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 7. Let h be g(4). Suppose 4*o - h*y = -172, 5*y + 14 + 52 = -o. Let s = 50 + o. Solve 4*a - s*j = j - 30, 3*j + 14 = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 6:14 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/6*(-8494)\/837 + -5*1. Let v = -0.05 - -0.45. Which is the biggest value? (a) -2 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minus 371.08?\nAnswer: -120.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*t - 2*r, 51 - 18 = 3*t - 5*r. Calculate the least common multiple of 2 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3884\/5005 + -3\/910. Find the common denominator of s and 133\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 2)*-3*3.\nAnswer: -9*sqrt(5) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 3*x - 57. Is x at most -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 163*x + 15. Let q(j) = -4*j + 1. Give r(q(n)).\nAnswer: -652*n + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 10*h**2 + 54*h + 11. Determine v(-13).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v + 694 - 345 - 344. Calculate r(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**3 - 54*h**2 - 31*h - 34. Determine w(14).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35793362*a + 5898828 wrt a?\nAnswer: -35793362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -3)*64\/48. Suppose 2*o + 37 = 2*c - 25, -o - q = 0. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -332*y + 2. Let z be (-38)\/8 - 6\/24. Let f be n(z). Let b = -1042 + f. What is b rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/121? (a) -1\/11 (b) 4\/3 (c) 0 (d) 429\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(8) - (sqrt(8) + 1 + sqrt(8)))*-5 - (-1 + sqrt(1152))) + -5).\nAnswer: -42*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243716 to the power of 1\/6, 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 620422 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(3 - (-64)\/(-20)). Let q(z) = 10*z**2 + 8*z + 28. Is 14 a factor of q(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 165*d - 170*d + 90422, 0 = d + f - 18082. What is d rounded to the nearest one hundred?\nAnswer: 18100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(99) + -5 + 0)**2.\nAnswer: -36*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*a + 3057*a + 1000*a.\nAnswer: 3999*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3665511 divided by -1221837?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -5*w - 5\/18*w**3 - 1\/3*w**2 + 0 - 1\/30*w**6 + 5\/36*w**4 + 1\/12*w**5. Suppose u(x) = 0. What is x?\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 425397480 to the nearest integer?\nAnswer: 20625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 225 + -223. Suppose s*w = 303 - 33. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 8, 3, -2 in descending order.\nAnswer: 8, 7, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2 - 82*i - 816 = 0.\nAnswer: -24, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21945 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*5*780\/(-1300)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z + 117*z - 5*z + 123*z - 1 + 1 + 2*z + (4*z + 0*z - 3*z)*(1 - 5 + 6) - 39 + 39 + 4*z - z - 12 + 12 to k + w*z and give w.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68087060?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67\/15 + 24\/5. Let o(w) be the second derivative of -j*w**3 + w + 1\/6*w**4 + 0*w**2 + 0. What is the second derivative of o(b) wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -45099\/235?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/6 - -4)*(-13)\/26?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*i**2 + 71*i**2 + 4*i**3 - 215 + 200 to the form c*i**2 + l*i**3 + f + m*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8\/11))**(-49)\/(b**(-20)*b\/b**(-4)*b) assuming b is positive.\nAnswer: b**(546\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1985996, -1985845, -1985694?\n\"Answer: 151*a - 1986147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1665 times 9713\nAnswer: 16172145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 90, 185, 278, 369, 458, 545?\n\"Answer: -j**2 + 98*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153 + 425 + 756 - 260)*(3 - 1 + 0)*(j**3 + 4*j**3 - 2*j**3).\nAnswer: 6444*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 4*t**2 + 5*t + 4. Let n be l(-5). Suppose 17*c = 16*c + n. Suppose -k = -a + 64, c*k = -0*a - 3*a + 220. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 7 = -5*v, 28*a - 24*a - 10 = 2*v. Solve -a*t = -4*p + 16, -3*t = -2*p - 0*t + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33241, -33194, -33147?\nAnswer: -33100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -84\/2707?\nAnswer: -84\/2707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 91*x**2 - 8722*x - 1353. Calculate t(96).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*h = -0*l + 175, l - 34 = 2*h. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from gtggggggtgg?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1006, 1008, 1010, 1012?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from ivbffvv?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 19689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - 3*a**2 + 3*a**2 + (-5*a + 0*a + 3*a)*(-a + 0 + 0).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 47, 1, -79, 4.\nAnswer: -79, -4, 1, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 167*v - 12. List the prime factors of k(5).\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 60. Solve j*k = -0*k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = n + 9 - 56, 197 = 4*n - u. Suppose 59*x - 189 = n*x. Calculate the smallest common multiple of 7 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 12, 28, 5 in decreasing order.\nAnswer: 28, 12, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -61. What is the remainder when 52 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100.92999 or -2\/3?\nAnswer: -100.92999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111101111 (base 2) to base 5.\nAnswer: 13012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 2064*x - 32000.\nAnswer: -4*(x - 500)*(x - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 23 = 3*n. Suppose 12*h = 16*h + 908. Let l = h - -342. Calculate the highest common divisor of l and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 6*x**2 + x - 4*x + 1 + 0. Calculate n(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1100 and 437700?\nAnswer: 4814700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -12428*u + 1. Let l(o) = 2*o**2. Determine r(l(w)).\nAnswer: -24856*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2193*s + 2135*s = 357 + 165. Let c(p) = -p**3 - 8*p**2 + 14*p + 33. Calculate c(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 325 + -325. Suppose -11*d + 575 + 492 = a. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 20*j**2 - 8*j + 476. Give n(19).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Suppose -2*a - a = 21. Let x = -3 - a. Let k(s) = 1 - 1 + x*s. Give o(k(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/((3 - 2)*2). Let m(a) = -50*a + k*a + 24*a. Let y(p) = 6608*p + 13*p**2 - 6610*p + 4*p**2. What is m(y(x))?\nAnswer: 17*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**5\/24 - t**4\/8 + 2*t**3\/3 - 3*t**2. Let b(n) be the first derivative of o(n). Find the first derivative of b(y) wrt y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3\/7 + 48*n\/7 - 64\/7.\nAnswer: -4*(n - 2)**2*(n + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3 + 60*l**2 + 2*l - 60 = 0 for l.\nAnswer: -1, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.1441 millilitres?\nAnswer: 0.0041441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110\/3 - 1\/3*g**2 - 17\/3*g = 0. Calculate g.\nAnswer: -22, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 7*n + 0*n as u + o*n and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 7*c**2 + 8*c - 9. Let h be a(6). Suppose 5*w - 4*w = s, 0 = -h*w - 3*s + 6. Solve 0 = -u - w, -2*j + u - 4*u - 13 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*h - 6, 2*m + 11 - 8 = 3*h. Factor 0 + 15\/2*g**2 - 5*g - 5\/2*g**m.\nAnswer: -5*g*(g - 2)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5834168 at most as big as -5834168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**(-1\/3))*w)**(10\/9)\/((w**(-10)\/w*w)\/w*w**(-9\/7)))**(-16\/5) assuming w is positive.\nAnswer: w**(-44992\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43656 is divided by 455?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 6*i**2 + i + 6. Let n = 16 - 10. What is the remainder when k(n) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.19, 2\/7, 0.6 in increasing order.\nAnswer: -0.19, 0.2, 2\/7, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ooogeoilioppopolll.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.28 - 0.3. Let r = -69.3 - -69.12. Let v = b + r. Is v < -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -82647?\nAnswer: 82647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.22, 0.3, -9\/2, 3\/2 in decreasing order.\nAnswer: 3\/2, 1, 0.3, -0.22, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4\/3 + 129*n**3 + 1321*n**2 + 2797*n\/3 - 2382 = 0. What is n?\nAnswer: -9, -2, 1, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -38*9\/((-36)\/1198). Suppose -20779 - o = -20*w. What is w rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - o. Let d(g) = -g**3 - 6*g**2 - 8*g + 6. Let v(i) = d(i) - 6*r(i). Let x(k) = -4*k**3 + 2*k - 7 + 5*k**3 + 2. What is -5*v(a) - 6*x(a)?\nAnswer: -a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*r + 75*r = -86*r + 6266 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21137609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11.33303 and 9171.\nAnswer: 9182.33303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 679, 1357, 2037, 2719, 3403, 4089, 4777?\n\"Answer: b**2 + 675*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddqqqdrddb. Give prob of sequence bq.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1230, 404, 4894, 12240, 22442?\nAnswer: 35500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 1, s: 1}. What is prob of picking 1 a and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 - 1 + 4*v**3 + 2*v**2 - 5*v**3 + 0*v**4 + 3*v to the form a*v**4 + n*v**2 + x*v + f + i*v**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 217*f - 2550. Determine d(11).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, 0, 156, 1\/6, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336*m = -6491 + 33371. Calculate the smallest common multiple of m and 50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.036 and 1198.897156.\nAnswer: 1198.861156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**4\/24 - 14*d**3\/3 + d**2. Let m be z(19). Let u = m - -11. Solve 2*n = 2*l + 6 - 2, n = -2*l + u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mccaa. Give prob of sequence mc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1134 + -550. Suppose -5*z = -z - r. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3500623 kilograms?\nAnswer: 350062300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6)*(18 - 3). Suppose -8*z + 402 = -l*z. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 5*u + 2*u - 17*u**3 + 5*u.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2. Let o(c) be the second derivative of -5*c**4\/12 - 4*c. Determine z(o(j)).\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(-26)*(320\/100)\/((-190)\/133)?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 5251763?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**5\/450 + g**4\/60 + 8*g**2. Factor l(q).\nAnswer: -2*q*(q - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:42 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 115, 152, 211, 298, 419, 580?\n\"Answer: o**3 + 5*o**2 + 15*o + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1322*r + 5804*r - 816*r + 3623*r.\nAnswer: 7289*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -268, 0.1, 1\/4, -1, 1\/6?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203*-31594.4.\nAnswer: -6413663.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82953167 is divided by 17586.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -46.0000131. Round v to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -120\/13 (b) 10 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, -1368, 7223?\nAnswer: 7223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 5*p**4\/48 + 125*p**3 + 56250*p**2 - 7792*p. Factor y(s).\nAnswer: 5*(s + 300)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.71 and 2?\nAnswer: 17.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2926)\/(-147) - 460\/23. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 626, 27, 5, -671, 3 in decreasing order.\nAnswer: 626, 27, 5, 3, -671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, i: 1, m: 2, a: 1}. Give prob of sequence am.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9675, 9620, 9565, 9510?\nAnswer: 9455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 16426772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**8\/280 - 7*b**6\/360 - b**3\/3 - 5*b**2. Let p(x) be the first derivative of i(x). Find the third derivative of p(f) wrt f.\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d4 - -3?\nAnswer: -d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 7 = 2*a, -5*n - 5*a = -6*n - 24 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzzu when four letters picked without replacement from zzzzzuzzuuzzzuzu.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 4\/3499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 800 and 20682775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3\/4, -4\/5, 3, 1\/6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 2*l = 4*p - 406, 2*p + 5*l + 412 = 0. Let g = p + 206. Let v be 0*-1*(-1)\/(-2). Solve v = -5*w + 5, -7 = -q - g*w - 0*w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22170.2 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 1173 = 80*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**2\/2 + 5*z + 8. Let h be w(-1). Suppose g - 3*l - 6 = 0, -3*g + h*g + 5*l - 4 = 0. Solve -2 - 1 = g*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -35. Let b = j + -5. What is the second derivative of 5*t + 5*t**5 + 3*t**5 - 2*t**b wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6380*j - 325777 = -63440 + 9484 + 142879 for j.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-248)\/4*6*(-16)\/192.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 1771?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235 by -5.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*77\/132)\/(4\/2).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/6 + 1246*u\/3 - 776258\/3.\nAnswer: -(u - 1246)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -351 + 350. Let r(o) = -o. Let a(g) = g**2 - 2*g. Let c(d) = d**3 + 4*d**2 + 3*d + 2. Let q be c(-3). Determine l*a(u) + q*r(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 22 - 32 + 10.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*w + 152*w - 50*w + 78 - 273 - 58*w with respect to w.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - -13. Suppose 4*j + 12 = 0, -5*j + j = 4*v + d. Let y = v - -30. Solve -3 = -y*h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*b + 13838, 4*b + 13844 = -31*o + 27*o. Which is smaller: o or -3459?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 + 346. Let z be r\/6 + (3 - (-11)\/(-3)). Let n = z + 40. What are the prime factors of n?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 240097 + -239790.619. Let p = 0.381 - l. Is -0.1 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0062514 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwi when three letters picked without replacement from {i: 2, e: 2, w: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**5 + 50*h**4 - 150*h**3 + 200*h**2 - 125*h + 30 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/620 and 61\/204.\nAnswer: 31620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41774 - 41774.3793208. Let a = -281.3642208 - f. Let n = -281 - a. What is n rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*l = 311*l + 747*l + 8643 + 21551 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6679755 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10 = -5*y, 20 = 5*m - 4*y - y. Let o be 116\/10 + 9\/(-15). Suppose 3*f - 4*q = -1, o*q - 3 = 2*f + 6*q. Solve t - 15 = -m*w, -t - w = f - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3294 - 11682 = -932*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -811 + 820. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -44399?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 71. Let b = -23 + 33. Calculate the remainder when g(-25) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Let d = -2 + w. Let u = -0.59 - -0.39. What is the nearest to d in -0.4, -5, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/68)\/(((-175)\/14)\/(-25))*(-2)\/3\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l + 7. Let h be x(-5). Let y be ((-4)\/6)\/((-1)\/h). Let i be (2\/(-4))\/((-3)\/y). Which is the closest to i? (a) -0.4 (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 1691*d + 43 - 90)*(2*d + 0*d + 0*d).\nAnswer: 3382*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 93 divided by -31\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7384321\/4 greater than -1846080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.8 (c) -537\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = -3*z - 4, 3313*z - 1659*z - 1657*z - 111 = -19*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3522?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17\/2750145 or 0?\nAnswer: 17\/2750145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 52*h - 54*h. Factor 0*m - 100*m**h + 0*m + 3456*m**4 - 3336*m**4 - 36*m**3.\nAnswer: -4*m**3*(5*m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 34.7 (b) 3 (c) 0.3 (d) 64\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/10 (b) 9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 4*n**2 - 2*n**2 + 5*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(304) + 5 + (sqrt(19) + sqrt(19)*-3 - sqrt(19) - sqrt(19)).\nAnswer: 5 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150254662 divided by 4.\nAnswer: -75127331\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 a factor of 24712234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o = -4. Let i be (-1)\/2 - (-2 - o)\/2. What is the biggest value in -1, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/3)\/y)\/y**6*(y**(2\/3))**(-8\/11) assuming y is positive.\nAnswer: y**(-203\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, l: 3, p: 2, x: 1, h: 1, y: 2}. Give prob of picking 1 x, 1 y, and 1 d.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -23. Let y = 5 + l. Suppose 0 = -4*o + 22 + 38. Calculate the remainder when y is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39141695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 476\/45 - 3152\/315. Which is the second biggest value? (a) 0 (b) o (c) 112 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.1 (b) -0.3 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -1. Let t = -2.6 + 3. Put -3, t, m in ascending order.\nAnswer: -3, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1757\/9 - 195. Factor -2\/9 + 2\/9*s + 2\/9*s**2 - n*s**3.\nAnswer: -2*(s - 1)**2*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247538, -247575, -247646, -247763, -247938, -248183?\nAnswer: -248510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9312372 and 1552062?\nAnswer: 9312372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-4\/9)*t*t**(-9\/8)*t\/t**(6\/17)*t\/(t\/t**(1\/9)))**(20\/9) assuming t is positive.\nAnswer: t**(2425\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, -8, 4, -2 in decreasing order.\nAnswer: 13, 4, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1522\/7 - 217. Sort 3, -3, c in descending order.\nAnswer: 3, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*x + 107 - 55. Calculate the highest common factor of 7 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1, -1, 4.18, 4?\nAnswer: 4.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/5)\/(2\/(-10)). Suppose -88*a + 1267 = 65*a - 110. Calculate the greatest common factor of n and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506388322?\nAnswer: 2, 11, 1877, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/32)\/((-12)\/(-8))*-9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.25035 - -3.25035. Let c = -0.2 - -0.3. Sort -1, z, c, 0.4 in ascending order.\nAnswer: -1, c, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 10 = 3*a, -11*j + 15*j + a + 20 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*t + 2*t - 2*i, -25 = -5*i. What is the remainder when 90 is divided by t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2. Let g(i) = 6*i**3 + i**2 + 2*i - 4. Let c(f) = -5*f**3 - f**2 - 2*f + 3. Let m = -66 + 70. Let l(r) = m*g(r) + 5*c(r). Determine l(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -5, -2, -0.02, 401.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttytyyyyttttyy. What is prob of picking 2 t and 1 y?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/51 - -95\/357. Let f = 0 - 3. Let h = 2.9 + f. Put h, w, 0 in decreasing order.\nAnswer: w, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 7*b - 7. Let v = -7 - -13. Give i(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 1, -769677, 2\/13 in decreasing order.\nAnswer: 5, 2, 1, 2\/13, -769677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**3 - 29488 + 58985 - 29497.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 9*g + 0 - 4*g**2 + 1\/40*g**5 + 1\/3*g**3 + 1\/6*g**4. Let l(p) be the first derivative of n(p). Factor l(x).\nAnswer: (x + 2)*(3*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23531574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.23 - -51.77. Let d = a + -59.2. Let c = -10.8 + d. What is the third smallest value in 0.5, -0.4, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186819.\nAnswer: 3, 62273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*s + 2075, -4*u + 1045 = -2*s + u. Let b be (-2)\/21 + s\/(-168). Solve -b*o + 10 = 2*d - 5, -o - 9 = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 733507.481 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -149 and -0.1?\nAnswer: 14.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3304*w - 3384 = 3515*w + 414 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58866 + 59851 = -5639*k + 34132 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from {z: 4, k: 5, g: 3, a: 1, f: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 + 3*j**2 - 11*j - 45. Let a(g) = 2*g**3 - 3*g**2 + 13*g + 44. Calculate 5*a(k) + 6*s(k).\nAnswer: -2*k**3 + 3*k**2 - k - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7516, 0.5, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1326 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**5 - 4*x**5 + 2*x**5 + (-8*x + 8*x + 11*x**2)*(0*x**3 + 0*x**3 + 2*x**3) - 2*x**3 + 2*x**3 - x**5.\nAnswer: 22*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -593 + 580. Which is the nearest to -0.1? (a) x (b) -0.5 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 717, -1, -119 in ascending order.\nAnswer: -119, -11, -1, 717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v + 6. Determine h(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 + -98. Determine p so that 883*p**2 + 1452*p - 3*p**u + 437*p**2 + 0*p**4 + 6*p**4 - 63*p**3 - 66*p**3 = 0.\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -413*p**3 - 2*p**2 + 16*p - 10. Let q be r(5). Let b = -27850 - q. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -10.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s + 10. Give m(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w**5\/w)\/w)*w)\/w**2)\/((w\/((w**8*w)\/w))\/(w*w**(-3\/8)*w*w))*((w*w**(-3\/2))**(-29))**(-35\/2) assuming w is positive.\nAnswer: w**(-1985\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c. Suppose -5*o + c*o + 10 = 0. Suppose o*v = -3*t - 1, 0 = -5*v - t + 3 + 1. Which is bigger: 0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i - 5. Let g = -10 + 12. Let w be v(g). Solve 2*b + q = 4, w*q = -b - b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.51 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**3 - 59*n**2 - 71*n - 686. Calculate r(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (52 - 44) + -1*4. Solve -8*u + 9*u = g*c, -24 = 4*c + 5*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 2*m**2 + 0*m**2 + (4 - 3 - 2)*(-m**2 + 1 - 1) - 23 + 23 + 2*m - 5*m**2 to the form g*m**2 + a*m + d and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1472949 milliseconds to microseconds.\nAnswer: 147.2949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 875383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-51)\/45) + 8\/10. Is 0 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54*h*k**3 + h*k**2*n*x + 4935*h*k*x + 185*k**3*n*x + 8*k*n*x + 2*k*n - 24 wrt h.\nAnswer: -54*k**3 + k**2*n*x + 4935*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1083580 divided by -270895.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 12. List the prime factors of i\/(-9) + 8755\/153.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 87462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6\/i)**28\/(i**2\/i)**(-25))**34 assuming i is positive.\nAnswer: i**5610","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1917545.\nAnswer: 5, 7, 54787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/2 - 17434455*l**2\/2 + 25330009711689*l\/2 + 25330027146147\/2 = 0. What is l?\nAnswer: -1, 2905743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1595.1\nAnswer: 159.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 144476837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11 - 3*a + a + 3*a. Let m be w(-9). Solve -6*b + m*b - 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o + 7. Let r be q(-3). Let p(l) = -l + 1. Let m be p(-10). Let h = m + r. Solve -5*g = h*s - 13, g - 6 = 3*s + 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9564 is divided by 147?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x + 294*x - 24 + 21.\nAnswer: 269*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 0.2, -14.37, 6, -9 in ascending order.\nAnswer: -14.37, -9, 0.2, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 780?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009620951 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 1, 3\/2, -0.2, 1.7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xsrrxrrxrsxrxrxxxr?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-3 + 5 - 1). Let p = 235 - 232. Suppose i*j - p*j = -114. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i + 2*i**2 - 16*i + 0*i**2 - 7 - 2*i**4 + 10*i to the form b + f*i**2 + j*i + d*i**3 + h*i**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06403 + 0.43597. Which is the closest to -7? (a) 0.4 (b) -3 (c) 2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/2067 and ((-1)\/7 - 0)\/(((-2001)\/(-493))\/23).\nAnswer: 14469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 5\/5412 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 27. Suppose m*c + 8244 = 3*c. Let g = -2195 - c. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18854, 19737, 21206, 23261, 25902, 29129?\nAnswer: 32942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10951997 is divided by 400?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -12, 2, -2\/5, 3\/458?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97479104?\nAnswer: 2, 67, 127, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1950 = -5*c + 4*n, 7*c + 2*n = 3*c + 1560. Is 65 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 3*z + 43. Let a be j(8). Solve l + 8 = -f, -4*l - a - 9 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 + 0.2. Let o = -392\/155 + 66\/31. Let q = -12 - -82\/7. Which is the second biggest value? (a) u (b) q (c) o (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 9\/(-27)*27.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1265 divided by -6.\nAnswer: 1265\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -13*h + 102. Determine c(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1195 - 1a?\nAnswer: -11b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b**2 + 12*b - 12*b)*(3 + 0 - 43*b - 3) as h*b**3 + v*b**2 + w + g*b and give h.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:39 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11310053 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146\/5 + 623\/15. Find the common denominator of x and -19\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100111111 (base 2) to base 6.\nAnswer: -3503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + 6 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 53, -2\/7, 2, 0, -50 in ascending order.\nAnswer: -50, -2, -2\/7, 0, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 6*u**2 - 8*u - 10. Determine s(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*((sqrt(192) - (2 + (sqrt(192) - (-3 + sqrt(192))))) + sqrt(192) + sqrt(192) + (sqrt(192)*4 - sqrt(192)) + sqrt(192) + -2))**2*-2.\nAnswer: -680904 + 56448*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 142079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 646 and 798?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-3 + 11)*(-4 + -1). Let q(f) = 43*f + 153. Let h be q(s). Is h equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4026 and 138?\nAnswer: 92598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/30 and 131\/180704532.\nAnswer: 903522660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.1 + -0.01. Let c = a + -0.09. Let z = 209 + -209. Sort -4, c, z in ascending order.\nAnswer: -4, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24277507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 9*j + 201. Let s(m) = 11*m + 203. Determine 5*o(d) - 4*s(d).\nAnswer: d + 193","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06479568 to five decimal places.\nAnswer: -0.0648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166054 is divided by 222.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 473 - 127. Let j be (-6)\/21 + r\/(-14). List the prime factors of (-106)\/(-10) + (-10)\/j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99627\/10 + 9977. Let h = -64\/5 + s. Is 2 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c\/(c**4*c))\/c)))**(-2\/19) assuming c is positive.\nAnswer: c**(10\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34\/1563, 4, -5, 2\/17, -25, 0 in descending order.\nAnswer: 4, 2\/17, 0, -34\/1563, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-two fifths of a milligram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, -261, -4, 2\/3, 1, 0.3 in descending order.\nAnswer: 1, 2\/3, 0.3, 0.17, -4, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by (41\/246)\/(2\/132).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)\/(j*j**(-1\/2)*j)*(j**(1\/8)*j*j)\/(j**(-1\/6)\/j)*(j**(-2\/5))**(-3\/13)*j**(7\/5)*j\/((j*j**(-1\/7)\/j)\/j) assuming j is positive.\nAnswer: j**(37421\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.3 - -33. Let q = 2 - x. What is the closest to 7 in q, -0.1, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1872549 to the nearest integer?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 399 - 378. Solve -b + 5*u = -21, 15*u = 5*b + 11*u - z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8)\/(322\/(-184))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 24*s**2 - 25*s**2 + 4*s - s**4 + 51*s**2 + 3*s in the form o*s**3 + g*s + a*s**4 + z + w*s**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5581, 22111, 49613, 88081, 137509, 197891, 269221, 351493?\n\"Answer: -k**3 + 5492*k**2 + 61*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*m - 18, u + 4*u - 4*m = 0. Let c(s) = 33*s - 24. Is c(u) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7065165727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/11, 54\/11, -169?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.9 + 44. Let x = 6 - p. Let u = -0.7 + x. Which is the nearest to -4? (a) 3\/2 (b) u (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 + 291*l**2 - 442*l - 145. What is f(-147)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 2*k - 2*k)*(2*k - 2*k + 2*k)*(-749 + 210 - 627).\nAnswer: -6996*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 + 55*r - 25 - 16*r - 24*r - 19*r to the form m*r + x and give x.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*v = -17, -16 = -5*v + 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1580 - -1628. Solve v - 40 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - n + 121, 5*n + 28 = u + 9. Suppose 41*k = u*k - 28. What is the smallest common multiple of (1*1*k)\/(-1) and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3\/(7 + -8 + 43919\/21958 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + -1 - 165789\/(-4563).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + 1 + 9 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 656 and 7544.\nAnswer: 4948864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260859342, 521718689, 782578040, 1043437395?\nAnswer: 1304296754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffff. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 7:55 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -5, -3, 1, 32, 2.\nAnswer: -5, -3, 1, 2, 32, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 5*x - 7. Let g be r(5). Let f(j) = j**3 - 3*j**2 + j + 2. Let a be f(4). Solve -3*q - 2*c = c - g, -5*c = q - a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + 12. Let t be r(-6). Let k(d) = d**3 + 6*d**2 - 3*d - 8. Is k(t) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/4)*l*(l\/l**5)\/l)\/(l**(2\/11)*l\/l**(2\/11)) assuming l is positive.\nAnswer: l**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhh when three letters picked without replacement from zzzhhzzzzzzz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 5*c - 8. Let u be h(-7). Let n = u - 2. Suppose -n = -2*q - 2. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39369)\/(-1193) + (-37)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/976 and 61\/1848.\nAnswer: 225456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 18245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 + 11*b + 12*b - 25*b in the form w*b**2 + s*b + n and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 + 488\/672. Let h = -1\/7 + g. Let i be ((-92)\/12 + 6)\/(2\/3). Which is the closest to h? (a) 2\/11 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -28 + 8. Suppose 4*y - 5 = -q - 8, 3*y = -u*q - 15. Which is smaller: -8\/13 or y?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 59. Suppose 6 + 16 = 2*v. Let w = v + b. Calculate the greatest common divisor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4959185 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14784 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18595 + 22245. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(sqrt(204) + (sqrt(204)*-1 - sqrt(204))) - 1*(sqrt(204)*1 - sqrt(204) - sqrt(204)))\/(2*sqrt(768)*-1).\nAnswer: 3*sqrt(17)\/16 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/3932 and 59\/6881.\nAnswer: 27524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 13*r**2 + 21*r - 9. Let m be y(-11). Suppose m = 7*o + 16. Let v be ((-169)\/2)\/(-13) + 1\/o. Solve -v*l + 2*l + 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = y - 11, 2*o - 3*y = 2*y - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 30408.\nAnswer: 273672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.134 + -7.134. Let z(u) = -3*u**3 - u. Let y be z(1). Which is the nearest to -0.2? (a) y (b) d (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.24 and 0.913.\nAnswer: -0.21912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 174079, 174078, 174077, 174076, 174075?\n\"Answer: -b + 174080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -385*-963.283\nAnswer: 370863.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 10*m = -5. Put -4, m, 4 in decreasing order.\nAnswer: 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7538 times -0.502\nAnswer: -3784.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000018 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 1 - 28. Let t = 45 - 30. Calculate the remainder when t is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26250, 103865, 232862, 413247, 645026, 928205, 1262790, 1648787?\n\"Answer: l**3 + 25685*l**2 + 553*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -198. Let m = t + -143. Solve -m*j = 3*j - 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -18. Let v(r) = -6*r + 3. Let b be v(-1). Calculate the highest common divisor of b and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195*l**2 - 357*l**2 + 9*l - 327*l**2 - 9*l to the form o + h*l + s*l**2 and give s.\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 120*y**2 - 58*y - 12. Let w(l) = -1. Suppose -86*o - 72 = -80*o. Let c(z) = o*w(z) + k(z). What is the second derivative of c(t) wrt t?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) 2\/7 (b) -5 (c) 107 (d) 0.3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1806, 1808, 1820, 1848, 1898, 1976, 2088, 2240?\nAnswer: 2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*g = -0*g + 80, 4*g - 60 = -3*x. Calculate the remainder when x is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -15. Suppose 2*a = 6*a - 16. Let j(u) = -89*u + 3*u**2 + 2 + 92*u - a*u**2. Calculate j(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - h)*(2 - 1 - 4) + 6*h - 5*h - 2*h + (0*h + 12*h - 5*h)*(-2 + 0 + 5).\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 13*a + 104 = 0. Let m = -8 - a. Solve 0 = -4*n + m*b - 10 - 0, -5*n = b - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23301381*p**5*t*u - 5*p**4*t + 3*p**2*t*u + 3*p**2*t - 42*p**2*u + 331*p*u + 4*t*u + 15*u wrt p?\nAnswer: 1398082860*p**2*t*u - 120*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779327 is divided by 738.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1770 is divided by 129?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a factor of 1215448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5355042 (base 6) to base 14\nAnswer: -6c3d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170499 and 219213?\nAnswer: 1534491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/34 + (-1536892)\/(-149583)?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -327, -391, -453, -513?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295, 1312, 2993, 5326, 8299, 11900?\nAnswer: 16117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13609 and 10416.\nAnswer: 4572624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-1)\/3 - (-21256)\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001809501522 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 5:39 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -3*x**2 + 0*x + 7\/24*x**4 + 43\/336*x**8 - 6 + 0*x**5 + 0*x**7 + 0*x**6 - 2\/3*x**3. Find the second derivative of r(b) wrt b.\nAnswer: 860*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/20)\/((-4)\/(-10)). Let b be 6\/n*(-12)\/(-9). Solve 2*q - 10 + 2 = b*l, -4*q = 4*l + 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1) + (0 - 8). Let m = q - -5. Let i = 2 - m. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 983*f + 6*f**4 - 4*f**2 + 2*f**4 + 980*f + 3 to the form g*f**3 + w*f + t + l*f**4 + m*f**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17753*b - 71480 wrt b?\nAnswer: -17753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -70\/3 in -4\/9, 0.5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -2. Let n = 14 + g. Suppose 2*s = s + n. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 times 0.1\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24943*s**2 + 24682*s**2 - 50773*s**2 + (-s + 0*s - s)*(-2*s - 1 + 1) + 0*s**2 + 0*s**2 + 2*s**2 - s**2 + 0*s**2 - s**2.\nAnswer: -1144*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (13509\/380 - 33)\/(645\/(-2)) and 161\/150?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5126 - 5124. What is the highest common divisor of 119 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49978 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-9)\/(-189)*-3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8)\/r)\/(r\/((r*(r*r**(6\/5))\/r)\/r)))**23 assuming r is positive.\nAnswer: r**(-1012\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/56)\/(66\/539))\/((-294)\/(-28)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 19236*d**3 + 25828812*d**2 - 16050826176*d + 2088750183168.\nAnswer: 3*(d - 242)**2*(d + 3448)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/346938 and 51\/4364.\nAnswer: 693876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((10 - 5) + (-4 + 4 - 8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/(-1))\/(-4) + 0. Suppose -12 = y*k - 117. What is the remainder when k is divided by (-11)\/((-2)\/(10 + -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1072*i**2 - 2151*i**2 + 1076*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 379475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) + (sqrt(132) - sqrt(132)*-2 - sqrt(132)) + sqrt(132))*-1)\/sqrt(12)*-6.\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708075 is divided by 1320.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3790 plus 12?\nAnswer: -3778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 1, -22 in increasing order.\nAnswer: -22, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 2*p**6\/15 - 5*p**3\/6 - 4*p + 3. Let t(w) be the first derivative of n(w). What is the second derivative of t(y) wrt y?\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 13*m**2. Let d(c) be the first derivative of 5*c**4\/6 + 13*c + 102. Let z(k) be the first derivative of d(k). Calculate z(y(u)).\nAnswer: 1690*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 4, g: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30181*z**3\/4 + 4119707*z**2 - 2249360841*z\/4 + 74529\/2 = 0. Calculate z.\nAnswer: 2\/30181, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7761826 and 19873.\nAnswer: 2839","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Total of 11.09 and -166.6124.\nAnswer: -155.5224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*p + 16 = 246 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000011100001011011 (base 2) in base 9?\nAnswer: -3867478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c + 7. Let j be y(-3). Calculate the common denominator of (-2)\/j*(-214)\/(-4) and 93\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 - 2*t**2 - 4*t**2 + 3*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1802699?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3162 is divided by 213?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.236 - -0.536. What is the second smallest value in o, -2, -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 6*b - 10. Let f be 2*(-1)\/(-1)*-3. Is f less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1491*q - 1350*q - 6204 = 0 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 5 (b) 4 (c) 2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*s + 20 = 0. Let l = 9 - s. Let d(v) = -3*v - 7. Let p(j) = -j. Let h(g) = d(g) - 4*p(g). Give h(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.2 (c) 26 (d) -8 (e) 186\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = y + 1. Let v be ((-2)\/y*2)\/1. Let x = -386\/5 + 77. Which is the smallest value? (a) -1\/7 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16470?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 946 divided by -2\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 15. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 s, and 1 o when three letters picked without replacement from {k: 1, s: 2, o: 2, y: 1, a: 1, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a - 10. Suppose 0 = y - a, -3*j = -6*y + 4*y + 22. Let p be 2*1\/j*-18. Solve p*c - 2*c + 20 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1482 - 719 + 242 - 74)*(-2*z**4 + 5*z**4 - z**4 + (-2*z**2 + 0*z**2 + 3*z**2)*(-2*z**2 - 2*z**2 + 5*z**2) + z**4 - 2*z + 2*z).\nAnswer: -8132*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/120 - (-328)\/240. Which is the third smallest value? (a) v (b) -13 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 9, -2854 in decreasing order.\nAnswer: 9, 5, -2, -2854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*h**5 - 694845*h**4 - 416853*h**3 + 250125*h**2 - 27792*h = 0.\nAnswer: -9264, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y - 62198 = -9029. Is (10\/30)\/(-1 - 1438\/y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + 8*b**2 - 41*b + 9. Give p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -2 (b) 19 (c) 76 (d) 4\/3 (e) 2 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 461 = -3*i + 2*i, -i = 3. Let l = c + 937. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 360\/11475*(-210)\/(-56)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 0*w - 1\/3*w**3 + 0*w**2 - 28. Let t(b) = 15*b - 1. Give u(t(g)).\nAnswer: -225*g**2 + 30*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*s + 8 = 187*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 22192.\nAnswer: 88768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 27. Let m(g) = g**2 - 6*g + 15. Does 22 divide m(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7886, -31541, -70974, -126191, -197198?\nAnswer: -284001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**3\/l*l**(-1\/7)*l**(-2\/7)*l**6*l**(-3)*l*l**3\/l*l*(l**(4\/9)\/l)\/l*l*l**0\/l assuming l is positive.\nAnswer: l**(442\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 72 = 3*j. Calculate the lowest common multiple of j and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -1\/7 (c) 9\/65 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953817 is divided by 508.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + p + 1. Let t(v) = -2*v + 42. Let x be t(15). Calculate the remainder when -5 + 2 + (x - (-1 - -5)) is divided by i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-364)\/8190)\/(8\/13464*11)?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Let a(w) = w**2 + 3 + 5*w + b + 0 - 4. Is a(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11739\/(-507) - 36\/(-234)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/28)\/((-4)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 497*d**6 - 14*d**3 - 6*d - 2496. What is the third derivative of w(b) wrt b?\nAnswer: 178920*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17763 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882966889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 3*m**2 - 2*m + 1. Let q be l(-2). Let s = -45\/2 - q. Let 4 + s*k**3 + 3*k**2 + 6*k = 0. Calculate k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.12524 to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216359 is divided by 5852?\nAnswer: 5687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 7*l**2 - 7*l - 1. What is v(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 6:37 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899945 is divided by 112428.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 3718 - 1590. Suppose 11*d + 343 = i. Which is the second smallest value? (a) d (b) -0.5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*t**2 + 1\/3 + 1\/6*t**5 - 1\/3*t**3 + 1\/3*t**4 + 1\/6*t = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202449*b + 164324 wrt b.\nAnswer: -202449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/752 and -37\/18736033.\nAnswer: 299776528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-3) + (-30)\/(-5). Solve -c + x = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 1415439.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 232*d**3 + 6*d + 54. Let j(p) = -464*p**3 - 11*p - 107. Let u(m) = -4*j(m) - 7*n(m). What is the second derivative of u(x) wrt x?\nAnswer: 1392*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2*(-2)\/3. Let p = 5 + l. Suppose -a = -4*a - p*v + 65, -v = 2*a - 35. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d**2 - 9561*d + 38366. Give j(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p**2. Let j(r) be the second derivative of r**5\/12 - 13*r**3\/6 + 32*r. Let m(g) be the second derivative of j(g). Determine m(w(c)).\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*y + 18, -4*t - 3*y + 28 = 2*y. Let v be (-65)\/(-10) + t\/(-4). Suppose 2*b - v = 4. What is the third smallest value in b, -1, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 23 = -5*g - 4*i, -5*i = -5*g + 20. Let a(z) = z**3 - 7*z**2 + 3*z + 8 + 2*z**2 - g. Calculate a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -624 take away -0.0296?\nAnswer: -623.9704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 957 - -585. What is m rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - 0.8. What is t rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*p = -68423 + 60887 for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, f: 1}. Give prob of picking 2 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((31494910\/20)\/(-61))\/((-2)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1123259463 to the nearest integer?\nAnswer: 33515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-3)\/6*6\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -13, -100, -275, -568, -1009?\nAnswer: -1628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328478.\nAnswer: 2, 164239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -17*m + 667. Determine j(40).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g\/((g**(-11\/3)\/g)\/g)))\/g)\/g*g*g**(-1\/4)*g)**19 assuming g is positive.\nAnswer: g**(-1577\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1030055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 21. Let p(m) = -17*m**2 + 14. Let j be 2 - (3 + -2)*-3. Let g(r) = 11*r**2 - 9. Determine a*g(q) + j*p(q).\nAnswer: 3*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9983 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**4\/j))\/(j*(j\/(j\/(j*j**1)))\/j))\/((j**(-1)*j)\/(j*j**(-7\/2))))**42 assuming j is positive.\nAnswer: j**(-273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 184 + 496 = 0. Calculate the remainder when o is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.00000568. What is d rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6 = -39. Suppose -3*r = -3*c + o, -r - 5*c = -3*r. Let j = r - -18. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:01 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 316, 475?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 292512 + -34572. What is i rounded to the nearest one thousand?\nAnswer: 258000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 760 and 27740?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -921509 - -1603425517\/1740. What is the common denominator of h and 83\/1218?\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*9\/168*(-2 + (-16)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f*f*f*f\/(f\/f**4))))\/(f*f*f**(-1\/16)*f))**(-2\/11))**49 assuming f is positive.\nAnswer: f**(-3185\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 158508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(5\/3))\/(x**(-4)*x))\/((x\/x**(-1\/2)*x)\/x**7) assuming x is positive.\nAnswer: x**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 640\/7, 0.1, -0.01, -0.4 in increasing order.\nAnswer: -0.4, -0.01, 0.1, 640\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 47985 divided by 146\nAnswer: 47985\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 6:49 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.11807288 and -36341364.\nAnswer: -36341364.11807288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (8 - 5) + (4 - -23) + 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.86446 times -4?\nAnswer: -279.45784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(119) + -1*sqrt(119)*-2 - sqrt(119) - sqrt(119))*4)\/(5*(sqrt(343)*3 - sqrt(343))).\nAnswer: 4*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20045 to three dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212221 + -1?\nAnswer: 212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24333 is divided by 580.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 97 - 4 - 10)*(3*k + 0*k - 4*k) in the form t + y*k and give y.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3.5. Let b = -2522777.50000042 - -2522777. Let g = b - z. What is g rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/263074 and 103\/57190.\nAnswer: 1315370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -5\/14*g**2 - 1\/28*g**4 - 42 + 2\/7*g + 4\/21*g**3. Suppose c(h) = 0. Calculate h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 1875*h + 18647. Let k be y(-10). Let t = -0.37 - 0.03. Which is the closest to -0.1? (a) 1 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 1. Let l(z) = -1 - 14*z + 15*z + z**2 - 4*z**2. Let d(g) = -l(g) + 2*p(g). Let m(j) = 3*j**2 - 2*j - 3. Give 2*d(n) - m(n).\nAnswer: -n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) -0.1 (b) 16 (c) 0.5 (d) -162\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.970355 to two dps.\nAnswer: 93.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t = u + 28, 20 = -3*t - 5*u. Let m be (2\/2)\/(-11 - t). Calculate the remainder when 51 is divided by (4 - 0)\/m + 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 15 + -12 + -21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*t + 3*x + 108, 3*x = -5*t - 172. Let v = -725\/23 - t. Let l = v - -1681\/92. What is the common denominator of l and -99\/46?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4476 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -645344 divided by 16.\nAnswer: -40334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2656 and 4.\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 15. Which is bigger: 1\/89 or y?\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 25 = -5*l - 10*c, -11 = l - 3*c. Suppose 5*z = -1 - 9, 5*z - 38 = -l*i. What is the least common multiple of i and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {d: 1, f: 1, c: 1, b: 1, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -192*d + 191*d. Suppose -22*v = -28 - d. Solve t - v = -1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2528 + 8643. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-29 + 16 + 20)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 + 1364*u\/3 + 5408.\nAnswer: (u + 12)*(u + 1352)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.7, 5, 2\/3, 237?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p + 4. Let m(u) = -4*u. Give l(m(q)).\nAnswer: 16*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o + 3*f - 9 = 0, 3*o = -f + 3. Calculate the remainder when 7 - (o\/4)\/(-2) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:21 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + 122?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/20 - (3328185\/(-15950) + 208).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2304)*2 - sqrt(2304))*-5)\/(-1*(2*sqrt(800) + sqrt(800))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 601656, 1203281, 1804906, 2406531?\nAnswer: 3008156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1218*d + 12. Let k(m) = 110*m - 1. Determine 46*k(r) + 4*t(r).\nAnswer: 188*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = d, 2*d = -0*h + 3*h + 27. Let z be (-2 + h)\/((-1)\/5 - 0). Let p = -33 + z. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 a when three letters picked without replacement from {p: 3, s: 1, l: 1, v: 2, a: 4, z: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 1. Let n(d) = 2*d**3 + 4*d**2 + 7*d - 2. Give -n(u) + 2*w(u).\nAnswer: -2*u**3 - 2*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 302.9228 minutes in nanoseconds?\nAnswer: 18175368000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 19*k + 63. Let f(s) = 57*s + 190. Let w(r) = 8*c(r) - 3*f(r). Let a be w(-6). What is the greatest common factor of 1296 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12073250822+-4\nAnswer: 12073250818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231 by -146.\nAnswer: -231\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1999898 = 1999898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 5*p**2 + 3*p. Let n(h) = 3*h**3 - 11*h + 44. Let w(i) = i**3 - i**2 - 2*i + 11. Let g(j) = -n(j) + 4*w(j). What is -3*g(c) + 2*y(c)?\nAnswer: c**3 + 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -419, -832, -1245?\nAnswer: -1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 610711?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 8*n. Suppose 0*o - o + 3*k - 23 = 0, -k = -o - 13. Calculate the lowest common multiple of r(7) and ((-6)\/(-9))\/(o\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/11 + 4*l**2\/11 + 62*l\/11 + 56\/11 = 0. Calculate l.\nAnswer: -4, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:15 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24219951823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 12. Let j be (27 + b)*2\/6. Let r = j - 10. What is the closest to -1 in -5, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000146 rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -54588985 + -3\nAnswer: -54588988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-2 - 6) - -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(4 + 2*f - 4)*(6 - 3 - 2).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x + 0*x - 5*x. Let r(m) = -10*m + 6. Let h(l) = -12*l + 8. Suppose -2*a + 9 = -s, 4*a - 2 = -s + 7. Let u(t) = a*h(t) - 4*r(t). What is y(u(b))?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seruesseutteelu. Give prob of picking 1 s and 2 t.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 522\/(-135) - -11 - 1. Which is the smallest value? (a) 3 (b) n (c) -1\/3 (d) 7 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -554 + -19. Is (b\/6)\/(-1)*(0 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:29 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 2*i**4 - 38 + 36 - 2*i**3 + 2*i**3 in the form b + c*i**4 + u*i + f*i**2 + z*i**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1727*u + 26728 = 754*u - 3313*u - 20418 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1668*z + 83398 - 17598 = -10928 for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 13) in base 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Suppose -x*l + 10 = 2. Suppose -l*c = -u + 21, -4*u + 91 = 5*c + 20. 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: Let d = 3168\/5 - 639. Let a = 16\/195 + 998\/195. Find the common denominator of a and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 2*v - 4. Let t(b) = -b**3 + 19*b**2 - 14*b + 721. Calculate the remainder when t(20) is divided by q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 4, s: 1, u: 1, p: 2}. Give prob of sequence thpp.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -148303*o + 148238. What is c(1)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**5\/20 + 7*p**4\/12 - 7*p**3\/6 + 3*p**2\/2 - 15*p. What is m(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/197680 and -113\/818960?\nAnswer: 5732720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1072*v + 16467 + 10333 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-60)\/8)\/(6\/32). Solve 5*z + 29 = o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 96*f**2 - 291*f - 8803. What is the thousands digit of l(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -53952 - -3?\nAnswer: -5394a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a second in milliseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -144731?\nAnswer: -144727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*y = -10, -y - 14 = -3*n + y. Suppose r - 2 = g + g, -4*r - g + 8 = 0. Let p = n + r. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1196375, 1196356, 1196337, 1196318, 1196299?\nAnswer: 1196280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 76372982.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:55 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 = x. Let w(v) be the first derivative of -2*v + 4. Let a(b) = b**2 - 9. Calculate x*a(j) + 9*w(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 9*i**2 + 12*i - 10. Let c be q(-8). Let v = -176 - c. Let r(a) = a - 28 - 2*a + 19. Calculate r(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = 13. Let a be h\/(-6) + 8\/12. Let r(o) = 2*o**2 - 5*o + 3. List the prime factors of r(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 59 = 4*z - z, -4*z = -2*c + 98. Let i = -2 - -4. What is the remainder when c is divided by 17 - 2 - (-6)\/i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*m - 10 - 5, p - 5*m = -23. Let t = -1.8 + -1.2. Which is the second smallest value? (a) t (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605 - 335 = -45*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z + 2*z)*(31*z**2 + 787 - 787) + 0*z**3 - z**3 + 0*z**3.\nAnswer: 61*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 17411184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, n: 2}. Give prob of sequence byn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127026113 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 192*q**3 - 192*q**3 + 13*q**4 + (1 + 1 - 3)*(q - q + 4*q**4).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*t + 13, 3*t + 57 = r + 2*r. Let a(p) = -r + 4*p - 2*p + 32 - 21. Let d = -17 + 24. Calculate a(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 482 (c) 3 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iieipppievvppiepv. What is prob of sequence eppi?\nAnswer: 15\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 22*g - 1. Let w be z(1). Calculate the highest common factor of 168 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15908225771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 13*h - 189. Let q be k(15). Solve -2*v = -16 + q, -26 = -4*s - 2*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(5\/(-10)*-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56465, -452059, -1525819, -3616829, -7064173, -12206935, -19384199, -28935049?\n\"Answer: -56514*h**3 + h**2 + h + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.6. What is the closest to 0 in -2\/7, j, 5\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*f - 129 + 5. Sort -5, f, -40, 4 in ascending order.\nAnswer: -40, -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/24 + 4\/(-6). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -180114.9 and -0.2.\nAnswer: 36022.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(119) - sqrt(119)*-2) + 3*(sqrt(119) + sqrt(119)*-2 + sqrt(119)))\/(((1*sqrt(7) - sqrt(7)) + sqrt(7))*4 - sqrt(28)\/(sqrt(16) - sqrt(4))).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -l - 4*f, l - 4*f - 9 = -2*l. Let d be (-4 + 5)\/(l\/(-7)). Suppose 0 = -6*w + 4*w + 4. Solve -11 = -3*b + 5*q + d, -11 = -5*b + w*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 29*s**2 - 26*s - 30. Give j(28).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/23 + 27\/46. Let p = -0.1515 + 0.0515. Which is the biggest value? (a) -1\/2 (b) q (c) p (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70865?\nAnswer: 5, 14173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*p**4 - 2*p**2 + 41143*p - 6366413 wrt p?\nAnswer: -16*p**3 - 4*p + 41143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 3*s + 2*s)*(-79 - 21 - 167).\nAnswer: 267*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -104*a**2 - 38. Let f(u) = -5*u. Calculate y(f(l)).\nAnswer: -2600*l**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-7\/4))\/m)\/m)\/((m\/m**(3\/5))\/m)*m**10*m*(m\/(m*m\/(m\/m**(-12))*m*m*m))\/m*m assuming m is positive.\nAnswer: m**(357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 246\/(-18)*(-9)\/24 and 81\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/8 or 4?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-47066)\/(-12) - (2\/(-3) + (-370)\/(-444))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62211 + 62249. What is the remainder when h is divided by (-255)\/(-20) + (-1)\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 2:30 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from fcfcccccttct.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2) + 3 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c\/(c**(2\/15)\/c)*c\/c**(-7)*c*(c**(-2)\/c)\/(c\/(c**(2\/5)*c))*(c**11*c*(c**(3\/7)*c*c*c*c)\/c)**29 assuming c is positive.\nAnswer: c**(48058\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1368*j**2 - 1032 wrt j.\nAnswer: -2736*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/444, 12, 20 in ascending order.\nAnswer: -1\/444, 0.2, 12, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 416583 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7678 - 7680. What is the closest to 17 in 2, 0.1, -0.13, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -435, 34507, 10 in decreasing order.\nAnswer: 34507, 10, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (27\/18)\/((-3)\/(-4)) - -4. Suppose 0 = -2*j - a, 4*n - 46 = -j - j. Suppose 11*c - n*c + 8800 = 0. What is c rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134.51 - 136. Let k = c + 0.15. Let p = -0.37 - k. Round p to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 1271750.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171292316 or 171292317?\nAnswer: 171292316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187826 a multiple of 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r - 22. Let n be i(-8). Suppose -9*w = -n*w + 9. Suppose -w*u + 2*u = -805. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5553854 is divided by 343?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4269.\nAnswer: 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23525 is divided by 4616.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4423, 9035, 14031, 19603, 25943, 33243?\nAnswer: 41695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88748.79 millilitres to litres.\nAnswer: 88.74879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w**3 - 3*w**2 + 4*w - 4. Calculate z(3).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 620 (b) 2\/7 (c) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:10 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 219 - 217 - 218 + 654. Let i = 0 + 1. Let c(g) = g**2 - 2*g + 1. Give i*c(r) - 5*j(r).\nAnswer: r**2 + 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**2 - 39*s - 10. Let k(y) = y**2. Determine d(k(u)).\nAnswer: 9*u**4 - 39*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*o - 34*o + 8. Suppose 0*k - 2*k - o*t = -144, -4*t - 256 = -3*k. What is the remainder when k is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 29 = 4. Let b be (-3)\/g - (-36)\/15. Suppose -15 = b*r, -4*r = -p - 6*r - 10. What is p rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b + 4*b - 6*b**3 + 8*b.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51250 + 51250 - 4*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*v - 2*b - 26, -2*v - 3*b = 8. Which is bigger: v or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17996 is divided by 2569?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, p: 3}. What is prob of sequence pppt?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -4019 + 1454. Let q = x + -145. What is q rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24201.93 milliseconds in microseconds?\nAnswer: 24201930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-26)))**(9\/10)\/(n**(-2\/51)*n**(4\/7)) assuming n is positive.\nAnswer: n**(-42719\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.358 to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1045452 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t. Suppose -2*m = -l + 13, m + 4*m + 25 = 0. Let c(d) = 36*d**2 + 28*d. Let r(p) = -4*p**2 - 3*p. Let n(q) = l*c(q) + 28*r(q). Give y(n(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 740 + 5*x - 739 - 5*x**3 + x**3 to d*x**2 + r + m*x + f*x**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 43*h**2 - 31\/20*h**5 + 2*h + 0 - 71\/24*h**4 + 0*h**3. What is the second derivative of u(v) wrt v?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*v**4 - 357*k*v**2 - 4788709*k + 45*v wrt v.\nAnswer: 8*k*v**3 - 714*k*v + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12230130 - -100310?\nAnswer: 12331100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 5:37 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22120 - 22117. Let u(d) = d**3 + 2*d**2 + 2*d + 2. Let t(a) = -a**3 - 4*a**2 - 4*a - 3. Give x*t(o) + 5*u(o).\nAnswer: 2*o**3 - 2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/220 and 92\/8855385?\nAnswer: 35421540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 r when three letters picked without replacement from jjsrsehjdhes?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 5) to base 15\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.32 - 0.32. Which is the second biggest value? (a) 0.02 (b) f (c) -2 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9847081 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -840740 divided by 23\nAnswer: -840740\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.23624l in millilitres?\nAnswer: 92236.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 323715 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -20, -2147 in decreasing order.\nAnswer: -3, -20, -2147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-3 + 3)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 2*u**2 + u + 3. Let l be d(-3). Suppose -y = k + l, -2*y = -4*y - k - 14. Let i(r) = -3 + 5 + 2 + r**2 + 6*r. Determine i(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.26 - -13.26. Let h = 13.000021 - f. What is h rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6644101 or 0?\nAnswer: -6644101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14e3 + -2?\nAnswer: -14e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*z = -407*z - 449*z - 14066 + 40058 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -15. Let l = f + 11. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s - 1 = -j - 48*s, s + 15 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 2*q + 16. Let j(y) be the third derivative of -y**5\/60 + y**4\/2 + 7*y**3\/3 + 2*y**2 + 8*y. Let v be j(14). What is the hundreds digit of h(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4460 (base 9) to base 3\nAnswer: 11112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1974.999666 - -1975. Round f to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*a**5\/3 + 1591*a**4\/3 + 47341*a**3\/3 + 15409*a**2\/3 - 47330*a\/3 - 17000\/3 = 0. Calculate a.\nAnswer: -25, -1, -4\/11, 1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 40, -6, -3, 2 in ascending order.\nAnswer: -6, -3, -1, 2, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/92442 and -125\/1302?\nAnswer: 92442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*f + 5*f - 11050 = 0 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddeddddddddddddd. Give prob of picking 2 d.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -159 in descending order.\nAnswer: 4, 3, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -11519*(-4)\/(-10)*(-15)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8 + 125*w**2 - 7 + 18 - 141*w**2.\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928258013 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.46 and -52?\nAnswer: 51.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-4\/17))**35*(h*h\/h**38)**(-36))**(-19) assuming h is positive.\nAnswer: h**(-427253\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224413 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 241, 250, 273, 316, 385, 486?\n\"Answer: k**3 + k**2 - k + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-75)\/(-80) - 8\/(-128). Is r less than 7\/2509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.1540853?\nAnswer: -0.01540853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, l: 4, r: 2, z: 9}. Give prob of picking 2 z and 2 l.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 1. Let m(l) = -2*l**3 + l**2 - l + 1. Let f be m(1). Let d(c) = -c**2 + c. Give f*r(b) - d(b).\nAnswer: b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - ((-62 - -42) + 10 - (-12 + -3 + 3)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10504\/(-1300) + ((-3)\/(-3) - -7)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/12 + (-65)\/30)*3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52 + 30 - 11 - 2*x + (-5*x - x + 4*x)*(0 + 2 + 0).\nAnswer: -6*x - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-40)\/(-100))\/(12\/(-15))*0. Suppose 15 = -5*v - 0. Let h be 18\/(-3)*1\/v. Which is greater: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 6*y**2 + 2*y - 4. Let f be m(6). Let i(q) = 3*q**3 + q**2. Let k be i(1). Let z = -1089 + 1097. Solve -f*u + k*u = z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(2\/(-4))*-9. Suppose -y - 21 = 6*r. Let w(o) = -6*o**3 + 4*o**2. Let i(m) = 7*m**3 - 5*m**2. Calculate r*w(x) - 4*i(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -107998 to the nearest 1000.\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 4. Let g(j) be the third derivative of j**4\/3 + 51*j**2. Let r be g(-1). Determine m(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63514*h*j*w + 319*h*j + 419602*j - 40*w wrt h?\nAnswer: -63514*j*w + 319*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 3 + (1 + 3 - 5)*(256 + 64 - 86) + 3 - 4 + 9)*(-3*v**4 - v**4 + 2*v**4) to the form p*v**2 + x*v**4 + u*v**3 + r*v + w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 a factor of 3002315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9124, -36528, -82196, -146128, -228324?\nAnswer: -328784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-7*l + 7*l - 5*l**3) + 5*l**3 - 5*l**3 - l**3 - 2*l**3 + 7*l**3 - 3*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96896338133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y**2 - 3 + 3. Let o(j) = 46*j - 5. Let h(c) = -25*c + 3. Let i(z) = 5*h(z) + 3*o(z). What is i(v(q))?\nAnswer: -130*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, v: 5}. What is prob of sequence bbv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -315989*q**4 - q**2 - 54022*q?\nAnswer: -3791868*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u + 39. Suppose -7*s + 12*s + 220 = 0. Let d = u + s. Which is the second smallest value? (a) d (b) 0.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**5\/20 - q**3\/3 + q**2\/2 + q + 57. Determine u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:14 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377536.\nAnswer: 2, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 6*j**2 - 5*j + 4. Let z be s(-5). Suppose -3 - 13 = -z*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74208.\nAnswer: 2, 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80738.\nAnswer: 2, 7, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24633554 divided by -12316777?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((-10)\/(-75)*-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, t: 1, q: 3}. What is prob of sequence qqht?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2195 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 23*q**2 + 30*q + 157. Determine v(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1.2, -1\/6, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17213, -34210, -51205, -68198, -85189, -102178?\n\"Answer: q**2 - 17000*q - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 10:54 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82\/27 or -2?\nAnswer: -82\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -265\/4. Let p be (-410)\/504 + 4\/14. Let u = p + r. Which is the closest to 2\/7? (a) u (b) 1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 24 (c) 1\/5 (d) 14\/25 (e) 0.3 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 4:47 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, -14, -4 in descending order.\nAnswer: 14, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -6 (b) -1\/5 (c) 4\/5 (d) -4 (e) -0.5 (f) 2\/13 (g) 29\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106948146 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1590636922\/5 = 318127383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11586723 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(78)*-2 + sqrt(78) + (sqrt(78) - (sqrt(78) + (sqrt(78) - (sqrt(78)*1*-1 - sqrt(78))))))\/((sqrt(6) + sqrt(54))*-4 + (sqrt(6) - -1*sqrt(6)*1))*-2.\nAnswer: -4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4485.\nAnswer: 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + -28 + 43 - 10.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5\/2 - 1236*v**4 - 63619*v**3\/2 - 28104*v**2 + 61150*v = 0.\nAnswer: -2446, -25, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-5) + 80\/(-50) + 1. Is 8\/235 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 3*g + 1. Let z(r) = 5*r**2 - 8*r + 2. Let h(s) = 7*b(s) - 2*z(s). Is 10 a factor of h(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-1))\/(6 + -3). Let o*y + y**2 + 11\/4*y**4 + 0 - 3*y**3 - 3\/4*y**5 = 0. What is y?\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1010?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f - 3. Let u = 55 + -52. What is w(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*t + 10, -4*j = t - 2*t + 36. Let k be (6\/j)\/(3\/(-45)). Solve 2*z - 5*z + k = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -15, -3, -14, 4.\nAnswer: -23, -15, -14, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*s + 14 = 0, 0 = -k - 3*s - 3 + 17. Is (k\/(-24))\/((-2)\/14142) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-14) - 24853\/(-203)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*d**2 + 2*d**2 - 528*d**2 - 2*d**2 in the form l + t*d + a*d**2 and give a.\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**2 + 20*d + 6. Let z be x(-12). Let i = z + 154. Let s be i\/(-2618) + 2\/17. Which is the second biggest value? (a) -3\/2 (b) 0.8 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 + s**2 - s - 3. Let u(p) be the second derivative of -p**5\/20 - p**4\/12 - p**3\/6 + p**2\/2 - 17*p. Let h(w) = f(w) - 3*u(w). Determine h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 7)*(-36)\/10. Suppose -4*x = 4*c + 4, -2*c + k - 4 = -2*x. Suppose -s = 2*s - c. Is s at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*r - u, -2*r = -2*u + 5*u + 1. Let k = r - -19. Suppose 3*s = -4*p + 21, -2*s + 4*p = -s - k. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, r: 1, g: 1, z: 5, n: 1}. What is prob of picking 2 z and 1 g?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795.285ng in tonnes?\nAnswer: 0.000000000001795285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 2*f**2 - 2*f - 1. What is r(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - -45. Suppose a = 4*d + 84, -a = -5*d - y + 4. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - -1*sqrt(80))*-4)\/(sqrt(24)\/sqrt(27)))\/((4*sqrt(60)\/sqrt(2))\/sqrt(6)*-5).\nAnswer: 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r. Let a(p) = -7*p + 24. Let v(w) = -6*w + 18. Let n(b) = 3*a(b) - 4*v(b). Let q = 9 - 16. Let m(k) = q*i(k) - 4*n(k). Determine m(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 15 = 2*b, -4*b - b + c = 70. Let y = 16 - b. Is 10\/25*(y + -1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672*y**3 - 831*y**3 + 1506*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let m = 4 - b. Suppose -3*d - 20 = -m*q - 7*d, -2*d - 8 = -3*q. Sort 2, q, -3 in decreasing order.\nAnswer: q, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 - 5 - -5) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -74\/245 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -8.5 (c) -0.5 (d) -0.1 (e) 0.5 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wntwnwwwnn. Give prob of picking 4 n.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**3 - 1329*a**2*d**3 + 3*d**3 - 1024*d**2 wrt a.\nAnswer: -6*a**2 - 2658*a*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124695377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -35. Suppose -381*o = -376*o - 180. Let v = o - w. Calculate the highest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -812.4 + 11.4. Let i = f + 802.898. What is i rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**11*a*a**6\/a)\/(a**0\/a*a*a\/((a\/(a*a**(1\/5)\/a))\/a)))**(1\/5))**24 assuming a is positive.\nAnswer: a**(1896\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(143)*2*-2)\/(-1*sqrt(704)*2) + -4.\nAnswer: -4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44140, 44141, 44142, 44143?\n\"Answer: s + 44139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8 + (-2)\/((-24)\/39).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 872.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.015292?\nAnswer: 0.07646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 11*u - 9. Let c be t(11). Let y be ((-48)\/c + -1)*3. Let d = y + -7. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2943999722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (0 + -4 - -5). Let l = 10 + s. Let k = 64 - l. Calculate the remainder when k is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-1)*604621\/(-208490).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -13*p. Let x(j) = -8*j. Give x(g(n)).\nAnswer: 104*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/11 + 192*m**4\/11 + 2708*m**3\/11 + 144*m**2 - 12070*m\/11 + 7584\/11 = 0. What is m?\nAnswer: -79, -16, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/737935 - -98144938\/307718895. Let m = 2\/139 + b. Find h such that -m - 1\/6*h**2 + 1\/2*h = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2891 (base 10) to base 7\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**5*x + 2*j**4*x + 237*j**3 + 5*j**2*x + 7*j*x - 15*j - 2*x wrt j.\nAnswer: 60*j**2*x + 48*j*x + 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8351.\nAnswer: 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/12*(-351)\/(-6). Suppose -3*x - 2*s + f = -168, 3*s + 58 = x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, n: 1, f: 6}. What is prob of picking 1 b and 3 f?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.13, -1\/4, 4.2, 1, -0.17?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(1 + 10\/(-12)). Let v = -285755\/33 - -8657. Calculate the common denominator of ((-134)\/(-24))\/(32\/k) and v.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 95?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*x + 9 = 0, -2*r - 2 + 10 = x. Let s be 92 - (r + (-6)\/2). What is the highest common divisor of s and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i. Let y(n) = -190*n - 18. Let w(k) = 191*k + 24. Let t(d) = -3*w(d) - 4*y(d). What is u(t(g))?\nAnswer: 1496*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7570 is divided by 7558?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3371, -3690, -4161, -4790, -5583, -6546, -7685?\nAnswer: -9006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**3\/6 + 12*f**2 + 13*f. Let n be h(-12). What is the highest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -64.000036. What is c rounded to 6 decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 + 2*z + 7. What is u(5)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*b, -3*t - 24 = -5*b + b. Let x(s) = -6 + 10*s**2 + s**3 - 7*s**2 + 0 + s**2 - 4*s. Determine x(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5172*s + 11 = 5170*s, q - 4*s + 11 = -7*s - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)*4)\/sqrt(6) + 5 + (sqrt(56)\/sqrt(8))**2.\nAnswer: 4*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140859993 to the nearest integer?\nAnswer: 11868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v\/v**(-11))\/v)))\/v*v)\/v*v*v**10*v**4\/v*v*(v**29*v)\/v assuming v is positive.\nAnswer: v**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198308835 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -100 * -0.3\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2864844 (base 12) to base 5\nAnswer: 4033021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/7869852 and 107\/9181494?\nAnswer: 55088964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r + 32*r + 14*r + 3*r as q*r + m and give q.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*(sqrt(35) - sqrt(3500)))\/(sqrt(28)\/(sqrt(32)\/(sqrt(8)*2))).\nAnswer: -45*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6070931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1364\/(-1705))\/(((-24)\/6)\/(-40)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 11 - 7)*(0 + 0 + w**2) to q*w**2 + s*w + y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tte. What is prob of sequence tt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 31091791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/15)\/((-2)\/(-20)). Suppose -4*t + g*z = -4, -t = 5*z + 3 + 2. Solve 4 = 2*l - t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3 = 1. Let f = 619.2 - 619. Which is the closest to u? (a) f (b) 3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 - 12*r**4 - 11*r**4 - 3*r**3 + 3*r**3 - r**4 + (r + 2 - 2)*(2*r - 2*r + r**3) + 3*r**4 - 2*r**4 + 0*r**4.\nAnswer: -19*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 108, 228, 406, 648, 960, 1348, 1818?\nAnswer: 2376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9801 divided by 3.\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 17114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -13190*a + 3. Let l(r) = 13228*r - 2. Calculate -3*l(q) - 2*p(q).\nAnswer: -13304*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 31. What is the nearest to 0.1 in u, 1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 - 98*n\/3.\nAnswer: 2*n*(n - 49)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g = -5*r + 38, 3*g + 15 = -3*r. Let d(f) = 3*f + 12. Let u be d(g). Let s be (48\/u)\/(4\/(-140)). What is the greatest common divisor of 28 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -10*f**2 + 6*f + 19. Let b(j) = 7*j**2 - 4*j - 13. Give 7*b(p) + 5*u(p).\nAnswer: -p**2 + 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3339.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + m**2 - m. Give b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.263 - 1.1828.\nAnswer: -8.4458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17012 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i**(5\/3))*i))\/(i**4\/i)*(i**1*i)**(39\/5))\/((i**(-2\/3))**(-41)\/(i**(-2)*i**(1\/3))) assuming i is positive.\nAnswer: i**(-221\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 3*u + 12 = 83, 0 = -5*r - 4*u - 53 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4566733 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11147 + -81?\nAnswer: -11218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 13*w**2 + 2*w + 7. What is f(-13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and -1022214.\nAnswer: 1328878.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**3\/2 - 2*k. Let v(u) = u + 5. Let a be v(-4). Let b be 3*a*(-1)\/(-3). What is o(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -138341 at least as big as -138341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*n**3 - 7*n**3 + 9*n**3)*(-3*n - n + 6*n)*(0 + 1 - 3).\nAnswer: 72*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119.88 + 119.8799975518. Round x to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/((-1)\/6). Suppose v*s = -2*s + 4*z + 170, 4*z - 210 = -5*s. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-25)*y\/(y\/y**(3\/29))*(y\/(y\/y**(12\/11)))**(-10\/11) assuming y is positive.\nAnswer: y**(88117\/3509)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -14*n**5\/5 + 267*n**4 - 6840*n**3 + 2888*n**2 - 193. Factor m(j).\nAnswer: -2*j*(j - 38)**2*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92753178*o + 66 - 92753178*o + 1045*o**5 + 6*o**2 wrt o?\nAnswer: 62700*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 5*i**2 + 6*i + 12. Let b be w(6). Suppose -15*p + 16*p = -b. Let c be (6\/4)\/(p\/(-16)). Solve -c*u - 3 = 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 + 120 = 7*c. Let s be (-70)\/c*15*(-2)\/5. Put 0, -3, s in descending order.\nAnswer: s, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 42457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3537007811 - -1.3537. What is f rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 112 = 48*v - 47*v, 2*v = -4*p + 232. Solve p*h = 62*h - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13341 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7 + 8 + 1 + 6 + 4*y. Determine q(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9*7\/(-21))\/(18\/8*6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10664 = 338*v + 6574 for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (18 - 27) + 8 + 3 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/15, -624, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.73 - -1.436. Round d to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0)**(-3\/29)*((((t*t**0*t)\/t)\/t)\/t)**(5\/4))**(3\/2) assuming t is positive.\nAnswer: t**(-471\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 30 = 34. Let w(x) = -117*x + 1. Let h be w(-1). Let p = s + h. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -4.9. Let g(n) = -n**2 - 4*n. Let w be g(-4). Suppose 0*t - t + 2 = w. Sort t, 3, h.\nAnswer: h, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 10:50 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.548 * 2.4.\nAnswer: 1.3152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 96973 > 96948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 553258 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h - 3 + 4 - 1 to the form t*h + m and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -11*y. Suppose -j - 2*j + 12 = 0. Let c = 6 - j. Put 1, c, y in descending order.\nAnswer: c, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 71880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 3*v - 7, 5*v + 16 = 4*w - 0*v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126104*a + 63169*a + 62937*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 19 + 31*z**2 - 10 as j*z**2 + b + t*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4 + 5931*s**3 - 1490683*s**2 - 5931*s + 1490684 = 0 for s.\nAnswer: -1, 1, 263, 5668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -260, 0.0943, -0.3 in decreasing order.\nAnswer: 0.0943, -0.3, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18097451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-12)\/256)*2*-33 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-4\/23))\/(b\/b**(-28))*(b**22\/b)\/(b*b**(-5\/13)\/b*b*b) assuming b is positive.\nAnswer: b**(-2628\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.33 + -14.67. Let f = y - -14.2. What is f rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-9 + 14) - 19?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25716*-2.893\nAnswer: -74396.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8408359 is divided by 44.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683651*d + 12 + 39 - 3*d**2 - 683699*d = 0. Calculate d.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, z: 2}. What is prob of picking 2 o and 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hehh. What is prob of sequence he?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) 4\/1373 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2431611*i**2 + 2431611*i**2 - 4*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/16)\/(-1))\/(-9)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:42 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 12:29 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r + 3. Let t(j) = -j - 1. Let b(c) = -3*t(c) - z(c). Suppose 2*p = -0*p + 8. Let a(u) = -u - p*u - u. What is b(a(s))?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lghl when four letters picked without replacement from {l: 2, h: 2, g: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/8 and 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 3. Let m be (-2 - 9\/(-2))*2. Suppose -12 = -2*b - 2*v, m*b - v + 2*v = 14. Is y equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91373 divided by -4.\nAnswer: -91373\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -624, -640, -680, -756, -880, -1064, -1320, -1660?\nAnswer: -2096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 68 = 2*d + 3*k, 52 - 18 = 5*d + 2*k - 28 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 4*m + 15 = 0. Let h be 8*((-20)\/(-8) + m). Is (-42)\/(-28) - 6\/h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gddiiidiiioiod. What is prob of sequence gdo?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/2 - 194611*w**3\/2 + 4732184729*w**2 + 194191550694*w - 407311061868 = 0. Calculate w.\nAnswer: -43, 2, 97326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519956674 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Does 4 divide (o\/6)\/((-1)\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44905144?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzuwzuzjwzu. What is prob of picking 1 z and 1 u?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 2:04 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 8*k**2 - 6*k - 14. Give f(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r + 24*r - 14*r.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -3. Suppose 12 + 3 = -c*w. Is w bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7767*v**3 + 7*v**2 - 5*v - 4. Let u be c(4). What is u rounded to the nearest 10000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (742 - -3) + (7 - 8)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 11:33 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -28.1. Let x = t - 3.9. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*g - 13890 = 2*k, -5*g = -2*k - 5584. Let h = 11189\/4 + k. Find the common denominator of 2 - -86*2\/(-28) and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-3) - (-33)\/12. Let h = -4 - -3. What is the second biggest value in h, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+4173373775.28\nAnswer: 4173373770.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 1274*s + 1324*s - 276, -2*r = -3*s - 26 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84613275\/8 or -10576660?\nAnswer: -10576660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186429888 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13146 and 20.\nAnswer: 131460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 291 + 33 = 0. Suppose 4*r + 44 + 36 = 0. Let g = r + o. Let s(f) = -f + 8. Calculate s(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.176 * -261.39\nAnswer: 46.00464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 26*o - 44. Let w be j(29). Calculate the highest common factor of 7267 and w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j**5 + 734*j**6 - 735*j**6 - j**5 + 15*j**2 wrt j.\nAnswer: -120*j**3 - 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3162264 take away 0.05754?\nAnswer: 3162263.94246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*c*f*h*l - c*f*l - 2*c*h**2*l + 4758*c*h*l**2 + 98*f*h**2*l**2 - 4*f*h**2*l + 2*h**2*l**2 + 165*h**2*l wrt l.\nAnswer: 9516*c*h + 196*f*h**2 + 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 242 = 6*c + 2*q, 5*q + 25 = 0. Let p = c + 60. What is the third derivative of -3*j**p + 5*j**2 - 21*j**2 + 18*j**6 wrt j?\nAnswer: 2160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r + 59. Let p be y(-6). Let o = 7 - p. Suppose 4*f + 4*a - 704 = 0, -157 = 3*f + o*a - 683. List the prime factors of f.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 13*z**2 + 3*z - 3. Let v(l) = 7*l**2 + l - 2. Let k(d) = 6*n(d) - 10*v(d). Suppose k(g) = 0. Calculate g.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 10*p = -1947. What is the remainder when p is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 20. Let w be 2\/d*(-12)\/8. Let f = 0.33 - -0.47. Are f and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/123 (b) -3 (c) 0.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34782 + 34781.9999996026. Round p to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3348)\/(-155))\/(-18))\/((2\/(-15))\/(-1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (sqrt(208)*-2 + -5) - (sqrt(208) + 0)*3)**2 + ((sqrt(130)*-1 - sqrt(130))*-6)\/((sqrt(100) + sqrt(100)*-1 + sqrt(100))\/sqrt(10)).\nAnswer: 25 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8991\/5 + 18457\/10. Calculate the common denominator of -133\/520 and r.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5522989 - 12*x**3 + 5522989.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4, 4*g - 15 = -r + 4*r. Solve 2*s + g = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000101 + 11?\nAnswer: 1010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/23206 and -37\/150839.\nAnswer: 301678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4\/7 (b) 53824\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10011110012 (base 3) to base 15\nAnswer: 136ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15953323*q - 123927487?\nAnswer: 15953323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 80, 1\/5 in decreasing order.\nAnswer: 80, 1\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, t: 9, u: 1, f: 3}. What is prob of sequence ftrf?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -167 + 7401*a**3 - 7401*a**3 + 61*a**4 + 548*a**4 with respect to a.\nAnswer: 2436*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 3*b**2 + 8*b - 7. Let r(c) = -3*c**3 - 8*c**2 + 25*c - 20. Let a(f) = 7*q(f) - 2*r(f). Is a(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 2*z + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, -1, -5, 31, 1 in descending order.\nAnswer: 31, 1, -1, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-30)*(-8)\/(40\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3\/7 + 2088606*i**2\/7 - 298372*i = 0?\nAnswer: 0, 1, 1044302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103001 (base 4) to base 9.\nAnswer: -1602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*i - r, 0 = -3*i + 5*r - 67 + 107. Which is the nearest to i? (a) -21 (b) 5 (c) 0.3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81*-0.3\nAnswer: 24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 + 5.06. Sort c, 1, -5\/2 in descending order.\nAnswer: c, 1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.851914 rounded to 2 decimal places?\nAnswer: 1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*t = -9836, 3*y - 8243 = -t + 6524. What are the prime factors of y?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 741 - 399. Suppose 3*z - 7*z - 2*n + 616 = 0, -172 = -z + 4*n. Let b = j - z. 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: Calculate 562274*8.\nAnswer: 4498192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13021941?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**3 - 2*q - 2. Let p be v(-1). Suppose o + 2*o - 73 = p*d, 3*d + 27 = o. Calculate the greatest common divisor of o and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 2*l - 3*b + 8, l + 3*b + 12 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-111456)\/301)\/48*(-28)\/(-6)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = n - 4*n + 14, 2*n = -m + 21. Suppose 5*a + 3*x - 5*x - 14 = 0, -3*a + n = -x. Solve -2*z - 15 = z - a*c, 4*c - 15 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 20 + 30)*(2*t + 3*t - 3*t)*(t**2 - 1 + 1).\nAnswer: 90*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b0 (base 13) in base 3?\nAnswer: 12022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*b - 6*b = 16, -3*k - 8 = 2*b. Factor k + 1\/3*y**4 - 1\/3*y**3 + 1\/3*y - 1\/3*y**2.\nAnswer: y*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9928)\/(-4)*2\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**3 + 31*a**2 + 119*a + 18. What is r(-8)?\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -2*b**6\/75 - 58*b**5\/25 - 83*b**4\/5 + 34336*b**3\/15 - 175232*b**2\/5 - 7*b - 464. Find g, given that p(g) = 0.\nAnswer: -37, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80826.\nAnswer: 2, 3, 19, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2925*b**2 - 6*b - 7. Let q(s) = -975*s**2 + 2*s + 2. Calculate 2*h(j) + 7*q(j).\nAnswer: -975*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9021320 divided by -44?\nAnswer: -205030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(968) + (2*sqrt(4)\/sqrt(2) + sqrt(2))**2.\nAnswer: 18 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 488*o**3 + 3 + 0*o - 9 + 4*o**2 - 111*o**3. Let j be v(2). Round j to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*w + 77*w + 66*w + 9 - 9 + 55*w.\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*b + 412 = -18*b - 15*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 3*t**2 + 17*t + 26. Calculate q(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 2*q + 39. Let i(h) = 3*h**2 + 7*h + 6. Let y be i(-2). Suppose y*c + n = -6 + 2, 16 = -5*c - 4*n. Is 5 a factor of k(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-910)*(-8)\/((-48)\/42).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3467978 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243744*y**3 - 489877*y**3 + 246111*y**3.\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.3, 0.2, 7790 in ascending order.\nAnswer: -0.3, 0.2, 6, 7790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*h**3 - 3*h + 3*h - 43*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -299*j**4\/12 + 91*j**3\/6 - 91*j**2\/2 - 7*j. Let q(y) = -10*y**2 + 3*y - 3. Give -3*p(m) + 91*q(m).\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w**2 + 0*w**2)*(2*w + 6*w - 4*w) + (-2*w + 6*w - 3*w)*(0*w**2 - 2*w**2 + 5*w**2).\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2394 and 3312384.\nAnswer: 69560064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 - 11101?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 8*a + 2. Let n be o(7). Let z be -4 + (-7080)\/n + 0. Let h = z + 165. Is h greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*r + 4*v - 1, 4*r + 4*v = -36. What is the nearest to 19 in 2\/3, r, 2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-21)*8\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52 or -1\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5394867536 minus 3.229?\nAnswer: -5394867539.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11616*b + 2491. Is w(-55) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-96)*(2 + 1 + -1)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683 = 56*p + 84*p - 1137 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7))**(13\/5)\/(y*y\/(y*y\/(y**(-7\/2)*y))*y**(-3)))\/(y\/y**(6\/13)*y**7)**44 assuming y is positive.\nAnswer: y**(-296159\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*h**3 + 33*h - 9 wrt h.\nAnswer: 882*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011988983 rounded to seven decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 9:06 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -39. Let z = 0 - -1\/3. Which is bigger: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/80 and -111\/250.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 11 + 14 - 179*a.\nAnswer: -179*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, c: 5}. What is prob of sequence xcc?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58879 + 58867. Suppose 0*l + 55 = -5*l. Which is greater: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 - 7*u + 5. Does 41 divide s(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 914856 and 1996?\nAnswer: 456513144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 v when three letters picked without replacement from wvwwwwwlwwwwwww?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 69*k - 980. Give q(-48).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/8 + (-4)\/16. Suppose 2*f - u = 7*f. Let d(x) = 3*x**2 + x + 1. Let o be d(f). Solve o*t - 4 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -562b07?\nAnswer: 562b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let t(s) = 11*s - 126. Determine t(k(z)).\nAnswer: -11*z - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -185\/4. Is y less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 11*y + 47. Suppose 2*f - 16 = -4*a + 8, f - 3*a = 17. Let r be c(f). Let q = r - -39. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -357747 or -6439433\/18?\nAnswer: -357747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - j - 4, -4*y + 0*j = -4*j - 16. Suppose y*r = r - 45. Calculate the remainder when r is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + 0.88. Let n = 2.7 + l. Let d = -0.5 + n. Sort 1\/11, d, 1\/3 in decreasing order.\nAnswer: d, 1\/3, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + 60?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38709 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 2653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 = -4*t + 1, y + 1 = t. Let m(i) = -i - 3. Let f be m(-6). Let o = f + y. Is o not equal to 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-2*(1 - 2). Let r be (-56)\/(-30) - 0 - v. Let o be -2*(0 + 3)\/(-27). Which is the biggest value? (a) 2 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -39 - -51 - -69*25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/5)\/((-20)\/(-50)). Suppose l*h - 33 = 7*h. Suppose 6*u - 3*u = 99. Calculate the smallest common multiple of h and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 7 + 27)*(4*k**4 - 5 - 6*k**4 + 4) to y*k**3 + v*k**4 + t*k + q*k**2 + j and give j.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y - 3*y + 15*y**3 + 16*y.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j + 11. Give z(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**6\/120 - q**5\/20 - q**4\/6 - 7*q**3\/6 + 11*q**2\/2 + 11*q - 5. Let t(y) be the second derivative of a(y). Give t(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 6*t + 6. Let w be m(-4). What is the highest common factor of 112 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24164 - -845801\/35. Find the common denominator of -34\/45 and v.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - z - 3. Let i be s(3). Let t be 34\/(-16) + i + -1. Let n = 156 - 156. Which is the closest to n? (a) -0.05 (b) t (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -4*q - 2*x, -2*q + x + 154 = 3*x. Suppose 0 = 36*g - q*g + 84. Factor 4\/9*z**4 + 0*z + 0 - 2\/9*z**3 + 0*z**g - 2\/9*z**5.\nAnswer: -2*z**3*(z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3446?\nAnswer: 2, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {t: 3, d: 2, u: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1477.852 - -1483.2. What is k rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine fifths of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 10. Let z be w(-9). Suppose -2 = 4*t + 5*j, -64*j = -68*j - 8. Differentiate 9 - z + 2*i + t wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 700 + 838. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 43, -0.1.\nAnswer: -0.1, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -21 (c) 1 (d) 104 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-19) - (460492\/5244 - (-24)\/828).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (3 - (1 + 16 - (8 - 9)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4) + (11 - 6 - 13 - -21).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 143.\nAnswer: -3\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**8)**(-13\/4)*y**10\/(y**(1\/8)\/y))**(-3\/8) assuming y is positive.\nAnswer: y**(363\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 22. What are the prime factors of 42\/4*(-12)\/j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/4 of a millisecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 742, 746, 752, 760, 770, 782?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in 1\/7, -4, -23?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68349.\nAnswer: 3, 22783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 7*z - 956. Calculate the remainder when z is divided by 1\/(-2) + (-243)\/(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/(-50) + (-702)\/(-260). Factor 5\/2*y**3 + 1\/2*y**4 + 3\/2*y + l*y**2 + 0.\nAnswer: y*(y + 1)**2*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*a**2*q**2*y**3 - 2*a**2*q*y**2 + 7*a*q*y**2 + 63271*q**2*y**3 - 8*q*y**3 + 14*q*y - 41*q wrt q.\nAnswer: 68*a**2*y**3 + 126542*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.72 + 24.720006748. What is g rounded to seven dps?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/4*1*(-2)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -24476*u + 269236. Give b(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 8 = 23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + f + 5 = 5*t, -17 = -t - 3*f. Suppose -3*y - 15 = t*y. Which is smaller: -5 or y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 9, y: 1, u: 4, r: 2}. What is prob of sequence yuj?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -332 + 4?\nAnswer: -32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1987, -3854, -5719, -7582, -9443?\nAnswer: -11302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*v**2 - 20*v - 4.\nAnswer: (v - 2)*(11*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 281430289 to the power of 1\/2, to the nearest integer?\nAnswer: 16776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14071 + 14070.5. Which is the third biggest value? (a) 2 (b) -0.4 (c) -2294 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322190987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 1)*(3*g + 2*g - 4*g + 1).\nAnswer: 5*g + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1030 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140527423258 + 2*j**2 - 140527423258.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 5, 31, 16, 4 in decreasing order.\nAnswer: 31, 16, 5, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5902342 a multiple of 1219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - 1. Let f(d) = d**2 + 109*d - 1320. Let m be f(11). Is m < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 155 = 19*m. Suppose -15*o = -284 - m. What is the highest common divisor of 12 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epyideqd. Give prob of sequence eqye.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 44 - 9 = -5*f, 0 = -2*f - 3*s + 11. Suppose 3*t + 95 = 8*t. Let x = 23 - t. Solve 24 = -2*n - 4*v, 2 = 4*n - x*v - f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(275)*-3*2 + (-1*sqrt(66))\/sqrt(6)*5)*-2)**2*-2.\nAnswer: -215600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367298190?\nAnswer: 2, 5, 136729819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 5:54 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001403995 rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4458620787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 6*y**2 - 2*y + 5. Let r be o(5). Let q be (1 - (-3)\/(-6))*r. Suppose q = m - 16. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 486 - 501. Let g(c) be the third derivative of c**5\/30 - 5*c**4\/8 - c**3\/3 - 4*c**2. Is g(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 9*t**2 + 11*t**2.\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4265 is divided by 301.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 60011, 120013, 180015, 240017, 300019?\n\"Answer: 60002*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 118.\nAnswer: -3\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -22 - (-56 - -14) - -24.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7 + 0 + 0*k - k. Let r be p(7). Is 9 a factor of (-1 - -1 - r) + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5 - u - 5 - 1. Let p(w) = w**3 + w**2 - 4*w - 2. Let f(y) = 3*p(y) - 6*s(y). Factor f(z).\nAnswer: 3*z*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54420435*h - 108840864*h + 96 + 54420430*h.\nAnswer: h + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 623141*c + 623141*c. Let b(u) = 9*u + 13. Calculate x(b(k)).\nAnswer: -81*k**2 - 234*k - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1356 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**3 - 2*v**2 - v + 2. Let g be u(1). Suppose 2*n - g*i - 250 = 0, -495 = n - 5*n + 3*i. List the prime factors of n.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 803 - 733. What is the remainder when a is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/4))\/(z\/z**3)*z\/(z\/((z\/(z**(-2\/17)*z))\/z)*z)*z*(z\/(z*z**(1\/4))*z)\/z*z*z assuming z is positive.\nAnswer: z**(70\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-317)\/(-3)*(-30)\/(-4). Let w = 888075\/8 - 111812. Let z = x + w. Find the common denominator of -119\/10 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117223604 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:42 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5, -4*k + 9*k = 4*s - 65. Calculate the remainder when 71 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 9*g + 11. Let s = -4 + 3. Let d be 46\/6 - s\/3. What is the units digit of b(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*b + 20, 5*q - 4*b = 4 + 12. Let z be (-1 - 65\/(-5))*1. Suppose 4*m = z, k - 8*m + 12*m - 15 = 0. Solve -k*i + 4*i - 3 = q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8170 is divided by 816.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 690728939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 28. Calculate the smallest common multiple of h(10) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 6475*v - 103117. Calculate u(16).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + -40144?\nAnswer: -40101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, 1, 8, -5 in decreasing order.\nAnswer: 10, 8, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*c + 31 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, n: 4, f: 3}. Give prob of sequence nnff.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-3 + sqrt(847)) - ((sqrt(847) - 3*sqrt(847))*-6 + sqrt(847)))*5*-4 + 0 + -1)**2.\nAnswer: -1274240*sqrt(7) + 86765561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 110363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5092.\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/13 + 18*k**2\/13 + 46*k\/13 + 30\/13 = 0. Calculate k.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p = 55*p + 110 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001198 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 44*y**3 + 28776*y**2 - 15*y - 9851. Give z(-654).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 1 (c) 3 (d) -27729\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nphkpkkurpuhu. Give prob of sequence kn.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1150104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5758618007 + 1.09.\nAnswer: 5758618008.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -940 - -3404. Let y be 4\/14 + (-4)\/(f\/(-517)). Suppose 0*w - y*w**2 + 0 - 3\/8*w**3 = 0. Calculate w.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**7\/15 - 3*j**6\/5 - 9*j**5\/10 + 13*j**4\/6 + 8*j**3 + 151*j**2 - 1. Find s such that r(s) = 0.\nAnswer: -4, -1, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Factor 27*y**2 + 2013*y + 15246.\nAnswer: 3*(y + 66)*(9*y + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247115 = 3041*o + 26575 for o.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.0583 rounded to 1 decimal place?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84a596 (base 13) to base 8.\nAnswer: -13665306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/14 (b) 2.47 (c) -5\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309274976 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 6)*(24 - 54 + 26)*(-5*a + a + 2*a)*(1 - 4 + 1).\nAnswer: 80*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4739 = 7*y - 2359. Suppose 5*t + y = 5*j + 4*t, 0 = -4*t + 4. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260840?\nAnswer: 2, 5, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:22 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 0 + (-63 - (79 + -129))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340)\/(-18)*(-7578)\/(-4210).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-534)\/89)\/((-2)\/1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-276)\/(-36) - (-4 - 48\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + ((sqrt(1100) + 0)*1 - (1 + sqrt(1100))*1)**2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -42, 2, 42\/5, 4.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**3\/6 - 1548*a. Let c(h) = -23*h + 21. Calculate c(d(o)).\nAnswer: -23*o + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5858 - 0.1632. What is j rounded to 2 decimal places?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154275273.22 rounded to the nearest one hundred thousand?\nAnswer: 154300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0, -4.15, -4.26, 3, 0.2, -0.1?\nAnswer: -4.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126 * -1.04.\nAnswer: 131.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*j**4 - 7*j**2 - 84.\nAnswer: -20*j**3 - 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1 + 1147*62 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 12*m**2 + 28*m + 42. Let b be i(7). Let g(u) = u**2 + 8*u - 3. Give g(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/5 + 6444*i**2\/5 - 8539572*i\/5 + 2175416612\/5.\nAnswer: 4*(i - 463)**2*(i + 2537)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12 + 6*195\/120. Let y = 16.9 - 17. Which is greater: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 15*j + 10. Let d be l(14). Let i(s) = 2 - 9*s - 7 - s**2 + 3*s. Let c be i(d). Sort c, -5, 2.\nAnswer: -5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 131. Let t(r) be the third derivative of -r**4\/4 - 25*r**2 - 8*r. What is t(q(z))?\nAnswer: -6*z - 786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + -0.03. Let m = 13.85 - u. Let v = -14 + m. Sort 0, v, -0.7, 3\/5 in descending order.\nAnswer: 3\/5, 0, v, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 10*r**2 + 6*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0 = -3. Let b = 2 - a. Suppose -w + b = -2. Let y(j) = -j**2 + 2*j - 3. What is y(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000132033 (base 4) in base 9?\nAnswer: 881752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 18 = -3*j, -4*n + 12 = -n + j. Suppose -5*o = -5*v + 20, n*v - 32 = -0*o - 2*o. Calculate the greatest common factor of 36 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4)*i*i*i**1\/i*i*i*i*i**7*i*(i*i\/i**8)\/i assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -20, -3\/4, 39?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:39 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 781272, 781109, 780946, 780783, 780620, 780457?\n\"Answer: -163*b + 781435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*w**2 - 391418*w - 69534555?\nAnswer: 70*w - 391418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144634, -578791, -1302468, -2315665, -3618382, -5210619, -7092376?\nAnswer: -9263653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:03 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 660 to the nearest 10.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 72206 in 1\/3, 3, -5\/6, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*u - 785 = -148 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 77038.950304 and 0.043.\nAnswer: 77038.993304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104212 + -27824653\/267. Let a = -1757 - -5330\/3. What is the common denominator of m and a?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*g - 949 = 3*l, g + 9 - 9 = 2*l + 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227107 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 613 and 540053?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**5 - 4844*s**4 + 1488136*s**3 - 13075384*s**2 + 21705716*s - 10113628 = 0.\nAnswer: 1, 7, 601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 81. Let j = -44 - l. Which is the smallest value? (a) 1 (b) j (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.83, -4, -1\/9, 0?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 0. Let g = -1984 + 1980. Sort z, 5, g, -5 in increasing order.\nAnswer: -5, g, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (2 - (9 + -21 - -9))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5172636041.\nAnswer: 67, 77203523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-6)\/21)*(-60)\/(-385).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110 (base 3) in base 9?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 19. Suppose 0 = -3*a + 2*n + 11, 0 = 3*a - 7*n + 4*n - z. Solve -b + 3 = p, 2*b + 2 = -a*p + 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-17\/3))\/(x*x**(-2\/13)) assuming x is positive.\nAnswer: x**(227\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3894, -3919, -3982, -4101, -4294, -4579, -4974?\nAnswer: -5497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9743 + 3?\nAnswer: -9740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*b = 411 + 234, j - 5*b = 316. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 - 6*r**2 + 12*r**2 - 9*r**3 - 3 to the form t*r**2 + i*r**3 + d + s*r and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 divided by 1237878?\nAnswer: -67\/412626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 22*r + 21. Let p be h(21). Let d be (-5 + 2)*5\/(-10). Let x be (1 + -3)*(-2)\/12. Which is the closest to x? (a) -0.04 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from vwvfppvffwvffcf?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 + 2 = 0. Suppose -512 = -23*x + 7*x. Suppose h = -s*h + x. Calculate the remainder when h is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 15*z**2 - z - 5. Let p(b) = -11*b**2 + 2*b + 3. Give -2*k(u) - 3*p(u).\nAnswer: 3*u**2 - 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7200) + -2 - sqrt(7200))*2 + sqrt(7200) + ((2*sqrt(300) + sqrt(300))*-1)\/sqrt(6))**2.\nAnswer: -360*sqrt(2) + 4066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 9*r = 108. Let d = -111 - r. What is the common denominator of -109\/10 and (-1 - (d - 2)) + (-1240)\/(-279)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -17\/25 in decreasing order.\nAnswer: 5, -17\/25, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48)\/(sqrt(8)*-1)*-5)\/(3*((-2*sqrt(14))\/sqrt(7) + sqrt(2))))**2 + 5)*-6.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5, 0.2, 2 in ascending order.\nAnswer: 0.2, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -2.2. Let d = l + 4. Put -2\/9, -0.1, d in descending order.\nAnswer: d, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -74 + -22a94?\nAnswer: -23058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.34*250.\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 129258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*j, -17*l + 91 = -24*l + 13*l + 5*j - 6 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 180 = 162 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10*y. Let v(x) = -1860*x + 2. Give r(v(c)).\nAnswer: 18600*c - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -11*i + 8. Let y(j) = -j**2 - 3*j - 10. Let n be y(7). Let r = n - -81. Sort i, r, -5, 0 in ascending order.\nAnswer: -5, 0, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 23 = -5*w, 0 = 4*l - 5*l + 3*w + 31. Let m = l - -2. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 446454 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3497 - -0.8497. What is the nearest to -2\/21 in t, 0, -6\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - s - 22 = 0, s - 3 = -4*x + 24. Let o be 4 + -6 + -3 + x. Suppose o*i - 8*i + 612 = 0. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320910433?\nAnswer: 29, 11065877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25993, 25997, 26001, 26005?\n\"Answer: 4*g + 25989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u**5 + 410276*u**4 + 4735500*u**3 - 7513892*u**2 + 2368080*u = 0 for u.\nAnswer: -11385, -13, 0, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5 = -y. Suppose -l + y = -1. What is the remainder when (-22)\/(-5) - 4\/10 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -506422314 + 5?\nAnswer: -506422306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16260 by -4065.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11510, -45948, -103342, -183686, -286974, -413200, -562358, -734442?\n\"Answer: b**3 - 11484*b**2 + 7*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 7, -139, 4, -2 in decreasing order.\nAnswer: 7, 4, 1\/7, -2, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - ((-7710)\/270 - 7))\/(8\/9).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7881373 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2*(-3)\/3)\/(-1). Let n(r) = r**2 + 10*r + 12. Let a be (-136)\/14 + 1 - 4\/14. Let v be n(a). Solve -4*x = v*s - 1, -7 - 5 = m*x + 4*s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1499 - 1071. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.1 (c) 15 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1387690\nAnswer: -1\/1387690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558954?\nAnswer: 2, 3, 11, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -7.03, -1\/18, 5\/7.\nAnswer: -7.03, -5\/4, -1\/18, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + -1)*1\/(-1). Suppose k + j*b - 19 = 0, k = -k - 4*b + 30. Suppose -24 = 2*t - k*t + 3*c, -15 = 5*c. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*j + 35*j + 19845 = 0. Let l(q) = q**3 + 6*q**2 + 4*q + 2. Let b be l(-5). Suppose -j = 4*k - b*k. Is k a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117464 is divided by 1077.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -48*(-1)\/(1 - -2). Let m(h) = h**2 - 14*h - 28. Let n be m(v). Suppose n*p - 3*p = 0. Do p and 68 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 16 = -5*g. Let s be (1\/(-2 - g))\/1. Which is bigger: 4\/3 or s?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7450*c**3 + 136*c**2 - 42*c - 6. Let t(y) = 7451*y**3 + 152*y**2 - 44*y - 8. Let j(f) = 3*t(f) - 4*x(f). Find the third derivative of j(b) wrt b.\nAnswer: -44682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21424956 a multiple of 996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (3 - 12\/2). Let n = -4\/3 + 5\/3. Factor n*c**2 - 2\/3*c + w.\nAnswer: c*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620 - 4084*c - 613 + 1233 + 4084*c - 503*c**2.\nAnswer: -503*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 16 = -11*w. Suppose 0 = 2*u + u - 3*q - 855, 0 = -3*u - w*q + 820. Let x = u + -199. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*g = -0*g + 20, 0 = 4*o - 5*g - 5. Suppose 2*y + 4*k = 5318, -o*y + 10*y - k = 13284. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(((-94)\/(-423))\/((-3)\/9*-1)). Solve -4*x = -10 - 2, 0 = -3*t - 2*x - m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14 + j**2 + 12*j + 8*j - 15*j + 0*j**2. Let b = -11 - 0. Does 16 divide c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*w - 255*w = -129 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3\/9 + 202*q**2 + 2400*q + 7176 = 0.\nAnswer: -897, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85419932 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 2. Let m(f) = -f + 7. Let n be m(6). Let c be n\/(-1*1\/(-2)). Suppose -3*u = -0*u - 9. Let z(o) = 4*o + 3. Calculate c*z(w) + u*p(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -483205, -483222, -483229, -483220, -483189, -483130?\n\"Answer: m**3 - m**2 - 21*m - 483184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z**2 - 12*z - 1. Let s be k(3). Let p = -5 - -11. Suppose l + p = s. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*i - 10*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -143 and -369.063902.\nAnswer: -512.063902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9256043 meters to millimeters.\nAnswer: 925.6043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 46247475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.57 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/13)\/j**(1\/23))**1 assuming j is positive.\nAnswer: j**(56\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**2 + 77132*w - 385760 = 0?\nAnswer: -19288, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {j: 7, y: 5, r: 2, u: 1, s: 1, a: 4}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/15)\/((-2)\/6). Let o(n) be the third derivative of 1\/6*n**3 + 0*n + b*n**2 - 1\/24*n**4 + 0. Determine o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 169326 and 82461762.\nAnswer: 82461762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45052 - 45091.422. Let w = k - -39.4. What is w rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*y = -82*y + 4565 + 25694 + 3775 for y.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7408*x = 7397*x + 99 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence offs when four letters picked without replacement from {i: 11, o: 1, p: 5, f: 2, s: 1}.\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 1. Let q be o(-3). Suppose -4 - 4 = -q*u. Let l(h) = h**3 - 5*h**2 + 2*h + 5. Calculate l(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + -2)*3*-1.\nAnswer: -18*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 444\/259 + (-4)\/(-14). Suppose -n + 201 = -5*a, 3*n + p*a = 8*n - 1028. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 22.6. Which is the third biggest value? (a) -0.1 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93968148*z**4 + 88765192*z wrt z.\nAnswer: 1127617776*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -13290540 <= -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -26*d + 5. Let a(v) be the first derivative of -2 - 7*v + 39\/2*v**2. Let g(z) = -5*a(z) - 8*n(z). Differentiate g(c) with respect to c.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + -5 + 66\/6. Solve -4*u = q, 0 = -p*q + q - 4*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 8. Suppose 0*p - 9 = -3*x - 3*p, 3*p = -2*x + 7. Suppose 2*j - m - 1 = 0, 4*m = b*j - x*j + 10. Solve 5*f + j = -13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3*(-8)\/(-12)). Let k be (-18)\/9 - (2 + z). Let a = k - -3. Solve 3*f - 2*h + 3*h - 6 = 0, 2*h = a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 1965?\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12608?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56259057 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 40. Let o be (-4)\/p + 68\/20. Solve -d - 5*a + 3*a = -10, 0 = -5*d - o*a + 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 6*o + 691 - 641 = -8*o, 0 = -8*k - 3*o - 55 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13*w - 928. Let k(h) = -6*h + 444. What is 9*k(m) + 4*p(m)?\nAnswer: -2*m + 284","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14339.\nAnswer: 13, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50466647?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 6 = -7*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 410.18 to the nearest integer.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -386984, 3, -9 in decreasing order.\nAnswer: 3, -9, -386984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1943, 1972, 2021, 2096, 2203, 2348, 2537, 2776?\n\"Answer: o**3 + 4*o**2 + 10*o + 1928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6*y = -50. Suppose 0*o = o - y. Let u be 8\/o + 1\/(-1). What is the second smallest value in -0.5, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67006 + 555*k**5 - 67006 + k - k**3 + k**5 - k**5 - 2*k**5 + 0*k**5 - 3*k**5 + 4*k**5 + (k**2 + 2*k**2 - k**2)*(0*k**2 + 0*k**2 - 2*k**3).\nAnswer: 550*k**5 - k**3 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 8667.\nAnswer: 14\/8667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4658 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: What is the lowest common multiple of 7160 and 272?\nAnswer: 243440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 235045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/24 and -89\/49992.\nAnswer: 49992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 105.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105.4 + -64. Let s = -41 + u. Let j = 0.09 + 3.91. What is the fourth biggest value in 0.1, s, j, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**3\/7 - 272810*a**2\/7 + 545614*a\/7 - 272806\/7 = 0?\nAnswer: 1, 136403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**3\/3 + 7*m**2\/2 - 7*m + 23. Let h be j(-8). Is (192 - h) + 0\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 3*h - 9 + 23, 3*g + 16 = -2*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - x - 2 - 3)*(-5 + 3 + 1)*(-8*x + 48*x + 49*x) to the form a*x + n*x**2 + i and give a.\nAnswer: -2314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8*q - 4*q + 5 = 0, 0 = -5*h + q + 25. Is (-1362)\/(-30) + (-2)\/h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqk when three letters picked without replacement from qberrqrqrkbzbrqber.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 131121010 (base 5) in base 12?\nAnswer: 27140a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18\/((-11)\/22*4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 12*g. Let f(h) = 47659*h**2. What is f(m(p))?\nAnswer: 6862896*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 + 21*q - 2. Let b be j(5). What are the prime factors of ((-27)\/9)\/((-161)\/(-54) - b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(112) + -1 + sqrt(112) - (sqrt(343) - sqrt(343)*2)) + 4 + (sqrt(224)\/sqrt(8) + sqrt(7) + sqrt(14)\/sqrt(2) + sqrt(7) + 3)*-6)*-5)**2.\nAnswer: 13500*sqrt(7) + 47475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 17*y**3 - 5*y**2 - 5*y - 964. Let t(k) = 54*k**3 - 16*k**2 - 16*k - 2892. Determine -16*j(h) + 5*t(h).\nAnswer: -2*h**3 + 964","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 111 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31568544 - -19518544. What is w rounded to the nearest 100000?\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-1 - 11)\/(-4). Let l be c\/((-5)\/(-4)*2\/215). Let p = l + -94. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/285, -2\/21, -3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.01, -1510, -123, 0.2, -5\/4, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1389*v + 4. Let u(c) = 237*c. Give j(u(w)).\nAnswer: 329193*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/614196 and -19\/220242.\nAnswer: 43607916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**6\/72 - k**4\/4 + 52*k**3\/3 + 30. Let u(h) be the third derivative of y(h). Let c(j) = 6*j**2 + 7. Give 3*c(b) + 4*u(b).\nAnswer: -2*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*d**3 + 19*d**2 + 42*d**2 - 8*d**4 + 85*d**3 wrt d?\nAnswer: -192*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 + 318 + -384 - (104 - 1)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.089 * -0.775.\nAnswer: -0.068975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3118655 is divided by 242.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 148362 to the power of 1\/2, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2379 + -2039. What is the highest common divisor of g and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2) + (-18)\/(-1). Let v = r - 12. Suppose 0*z = -z + 1. Solve v*n - z = -11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/60 and -79\/12480.\nAnswer: 12480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336495?\nAnswer: 3, 5, 22433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 65, 136, 223, 332, 469, 640, 851?\n\"Answer: k**3 + 2*k**2 + 58*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -38*m**3 + 32*m**2. Let f(y) = -37*y**3 + 32*y**2. Let q(z) = 4*b(z) - 5*f(z). Find the third derivative of q(t) wrt t.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25151 or -22978?\nAnswer: -22978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01797055 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + -243d6cc?\nAnswer: -243d6c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**4 + 8*c**3\/3 + 2*c**2 - 2. Solve w(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 6. Let q be (-4)\/(-4) + 8\/(-2). Put q, f, 5 in decreasing order.\nAnswer: 5, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2018 and -0.9664?\nAnswer: -1950.1952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 103426.\nAnswer: -51713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127\/36 + -15\/4. Let h = 23 - 26. Put -0.4, a, h in decreasing order.\nAnswer: a, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynnmjmymm. What is prob of picking 3 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4758, 19015, 42776, 76041?\n\"Answer: 4752*b**2 + b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**4 + 75465*o**3 + 3*o**2 - 309*o + 68.\nAnswer: -72*o + 452790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34874603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -753, -1568, -2447, -3408, -4469, -5648, -6963?\n\"Answer: -3*c**3 - 14*c**2 - 752*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i**2 - i**2 - i**2)*(-1077*i - 538*i + 5529*i**2 - 5528*i**2) in the form x*i**2 + m + u*i + l*i**3 + w*i**4 and give l.\nAnswer: -3230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 309 from -0.05.\nAnswer: -309.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101 (base 4) to base 9.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 82 + 1?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2264.332l to millilitres.\nAnswer: 2264332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-1)*(0 - -31). Let r = 1522 - 2210. Let l = r + 719. Calculate the highest common divisor of k and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*-1*6)\/(-6*sqrt(36)\/sqrt(3)))\/(-5*-2*sqrt(704) - -4*(sqrt(704) + (sqrt(704) + sqrt(704)*-2 - sqrt(704)))) + 2.\nAnswer: sqrt(3)\/48 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqrq when four letters picked without replacement from {r: 3, b: 1, z: 3, q: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 8*y**2 + 4*y - 8. Let v be f(8). Suppose 0 = 3*z + v - 84. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -75, 0.2, -4\/7, -317, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138392297 is divided by 17166?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572798 is divided by 286083.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9.5507 - 7\nAnswer: -16.5507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3623542 and 2.\nAnswer: 3623542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 16848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -101 (b) 0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90962.8 litres in millilitres?\nAnswer: 90962800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 16*b**2 + 30*b + 658. Determine f(-15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-364)\/(-84) + -15)*(2 - 15\/12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 - (-19)\/(-2). Let b be r\/4*(-6)\/(-1). Let n = b + 29. What is the remainder when 26 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 11, x: 4, k: 1}. Give prob of picking 2 l.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, v: 1, d: 3, k: 1, q: 5}. What is prob of picking 2 d and 1 u?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1951997 + -2365\nAnswer: 1949632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -14. Let n be (-15)\/5*y*2. Calculate the greatest common factor of n and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*7\/63*4\/30\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19145071 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-352))\/((-3)\/(-22)*4).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 54. Let h(c) = 13*c + 5. Let z(d) = -39*d - 14. Let q(s) = k*z(s) + 8*h(s). Let g(v) = -v**2. What is g(q(l))?\nAnswer: -169*l**2 - 52*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9009, 38835, 89467, 160893, 253101?\nAnswer: 366079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 - 732a9?\nAnswer: -732ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, 0.3, -0.2, 330 in descending order.\nAnswer: 330, 0.3, -0.2, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1057 + -604. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1167)\/(-778)*10\/(-6)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6689951 rounded to the nearest one hundred thousand?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22734612 divided by 2.\nAnswer: -11367306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164409 divided by 21.\nAnswer: 7829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 14*a**2 - 34*a - 131. Is m(34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-0.16.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -7 + 8 - 1*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-36)\/r**(1\/36) assuming r is positive.\nAnswer: r**(-1297\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:22 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 12*k**2 - k + 3. Suppose -2*n - 3*n + 40 = -5*u, 40 = -4*u + 2*n. Let z be c(u). Solve -z = g + 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 3:20 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1031213*-7\nAnswer: 7218491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/17))\/(y*y**(-13)\/y*y))\/(y*y\/(y\/y**(-28\/3)*y)*y\/(y*y**(-23))) assuming y is positive.\nAnswer: y**(-28\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1\/2)*(1 + 66\/22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, k: 5, o: 3}. What is prob of sequence ok?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2946678 and 1428?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4477 or -1.2?\nAnswer: -4477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -17545*s + 106500. What is t(6)?\nAnswer: 1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 1)*119\/(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2236 (base 13) in base 3?\nAnswer: -20112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 7*q**2 + 9*q + 8. Let b be r(-8). Let w(y) = y + 107. Let u be w(b). Let k = u - 19. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361844 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: Simplify ((sqrt(252) + 0 - sqrt(252))*-2*-6)**2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90) + 2*sqrt(90) - sqrt(90)) + sqrt(90))*4)\/((1*sqrt(20)\/sqrt(4) - sqrt(5)) + sqrt(320)*1).\nAnswer: 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138520 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(-r + 4 - 4)*(51*r**3 - 10*r**3 - 17*r**3) + (-r**4 + 4*r**4 - r**4)*(-3 + 0 + 4) + 0*r**4 - r**4 + 0*r**4.\nAnswer: 73*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 3*b + 7. Let c(h) = 3*h**2 - 8*h + 20. Let t(o) = -3*c(o) + 8*w(o). Determine t(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13034543 (base 6) in base 3?\nAnswer: -210120210200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from arraaar.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -61740051.\nAnswer: 185220153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 233 + -222. Is o at least as big as 37\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 15. Let x(y) = -y**2 - 7*y - 5. Calculate x(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43, 45, 47, 49, 51, 53?\n\"Answer: 2*t + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 0 = 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*o - 10124 + 3426, 3*x = 4*o - 13424. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxxllxllxll. Give prob of sequence lx.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -1.5, -0.2, -3, 2\/21, -67\/5, -55.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 + -81.14. Let h be 185\/(-222)*(-18)\/40. Which is the biggest value? (a) h (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 5*h - 7. Let n be z(7). Let v = -3 + n. Which is the second smallest value? (a) -2\/15 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -1*-5*1\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = b + 4*o, 3*b = -0*b + o + 112. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 12*s - 21. Give w(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22573060*n**2 - 16263*n**3 - 22573060*n**2)*(-4*n + n + n)*(2 - 2 - 2*n).\nAnswer: -65052*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*n + 4*h - 144, -136 = -5*n - 3*h. What is the common denominator of 43\/7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 2\/39 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5 - 5 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(-3*d**2 - 2*d + 2*d) + (-779 + 1283 - 825)*(4*d**2 + 2 - 2) as v*d**2 + q*d + m and give v.\nAnswer: -1287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and 569.175.\nAnswer: 579.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4521235 divided by -4?\nAnswer: 4521235\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/17)*y*y*y\/(y*y**(-2\/11))*y**(-2\/7)\/((y*y\/(((y**(-4\/9)\/y)\/y)\/y)*y)\/y))\/((y\/y**1)**(-30))**(-9) assuming y is positive.\nAnswer: y**(-40417\/11781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -10022010101020000?\nAnswer: -10022010101012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -521 - -545. What is the greatest common divisor of 108 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.787596 years?\nAnswer: 9.451152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 307, 354, 407, 466, 531, 602, 679?\n\"Answer: 3*b**2 + 38*b + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(2\/15)*d**(-7))\/(d\/(d\/(d\/d**(-1\/9)))*d**11))**27 assuming d is positive.\nAnswer: d**(-2292\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 7. Suppose -35 = -3*b + 5*s, b - 26 = -2*b - 4*s. Suppose 12*w - b = 13*w. Calculate t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 - 32*z**2 - 453*z + 7126. Calculate b(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0 - 1\/6*x**3 - 1\/12*x**4 - x - 1\/20*x**5 - 5\/2*x**2. Suppose 5*a + 2*o = 2, -2*o = -3*a - a - 2. Determine b(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146623 is divided by 7717.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11619 * -2\nAnswer: 23238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 133001\/3 >= 44334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4032392 and 406.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195*s + 212*s + 23*s + 89*s + 190*s to u*s + i and give u.\nAnswer: 709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40857406 = 7*y + 40857371 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1751)\/(-51))\/(51\/9). Let m = 2435\/357 - q. Find the common denominator of m and -49\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 y when three letters picked without replacement from {e: 4, y: 2, s: 2, j: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**2 - 195777*p - 587358 = 0.\nAnswer: -3, 65262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1750\/(-5600)*(-24)\/(-15).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from bgcccjccgjecbcjcbe.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001012469 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -2\/1973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*s - 60*s + 44 - 8 = 0. Calculate the highest common factor of s and 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -9\/8 (c) -2.6 (d) -4\/3 (e) 4\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/323562 and -7\/650?\nAnswer: 105157650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -69480.\nAnswer: -1\/34740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 + 19*u - 18. Let x be p(-10). What is the tens digit of (x\/(-12))\/(1\/(-9) - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -p - 6*w + 104931, -2*p + 5*w + 209841 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30981939571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 5*a**2 - a + 6. Suppose 0 = -10*p + 7*p. Suppose 3*y - 36 = -p*y. Suppose 0 = 3*o - 3*w - 9, -5*o + y = -w - 11. Give c(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 times 0.04\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -792, -1585, -2376, -3165, -3952, -4737?\nAnswer: -5520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 72?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + 5c8?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 5*v + 8. Let p be g(6). Suppose -6*z + p*z = -196. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azzzaazxz. Give prob of picking 3 a.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 4*z - 5. Let i be u(5). Suppose 2*w + 5*r + 835 = 0, -3*r + 4*r + 831 = -2*w. Let y = w + 695. Calculate the highest common factor of y and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - 3*(sqrt(228) + sqrt(228) + (sqrt(228) - sqrt(228)*-1)))\/(-1*sqrt(768) + sqrt(768) + sqrt(768))*-3.\nAnswer: 33*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 300795768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/7 + 4\/7*v**3 + 1\/7*v**4 + 4\/7*v + 6\/7*v**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -7. Let l(c) = c**2 + 3*c**2 + 2 - b - 6*c. Is l(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5042?\nAnswer: 2, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1840309217?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 247, 10, 5, -1869 in decreasing order.\nAnswer: 247, 10, 5, -1869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 + 4*z + 6. Let y(m) = m**3 - 7*m**2 - 5*m - 8. Determine -4*t(a) - 3*y(a).\nAnswer: -3*a**3 + a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2473 + 2523. Suppose 5*n - 59 = 6. What is the remainder when j is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, 0.1, -0.2, 36?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -122 - (-39 + (-79 - 77))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -g + 18 + 5, 3*g = -2*u + 134. Suppose 4*i + 0*i - g = 0. What is the highest common factor of 30 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55607 (base 10) to base 5\nAnswer: 3234412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2161644 (base 7) to base 8.\nAnswer: 1011654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {w: 2, z: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 104 (c) 0.2 (d) -0.2 (e) -2\/11 (f) -11 (g) 33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -5\/6*u**4 + 277*u + 0*u**2 + 0*u**3 + 0. Let g(k) = 9*k**2. Determine h(g(p)).\nAnswer: -810*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + ((-1)\/(45\/372) - 260\/650).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*p - a, -4*p + 29*a - 28*a = -2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 18. Calculate the least common multiple of n and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9826025 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 8 + 0 + 0 + 1 + 2 - 4 + 4 + (2 + 1 - 4)*(1 - 2 - 1))*(1 - 1 - 3*x).\nAnswer: -39*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 72. Let l be p(18). Suppose -14*t = -l*t + 112. Calculate the highest common divisor of t and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from nzz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -10*b**2 + 3*b + 1. Let o be n(-4). Suppose -815 - 91 = -3*s. Let r = o + s. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 0.05.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/15)\/(2562\/(-285) - -9). What is the greatest common factor of 5890 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 10*f**2 + 7*f - 18. Let h be m(-9). Let i be (h - 1)\/((-3)\/9) + 8. Solve -i = -4*x + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11059, 10815, 10421, 9889, 9231, 8459, 7585?\n\"Answer: 2*s**3 - 87*s**2 + 3*s + 11141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 273*x. Suppose -640*t + 336 = -644*t. Let l(r) = -16*r. Give t*l(g) - 5*j(g).\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -3. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -12.7. Let a = x - 3. Let m = a + -0.3. Which is bigger: -0.6 or m?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892590.\nAnswer: 2, 3, 5, 29753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f - 2. Let a(t) = -4*t + 2. Let k be (-26)\/2 - (-1 + 0). Suppose -3*q + 42 = -0. Let r = q + k. Give r*d(n) + 3*a(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 - -109. What is the first derivative of -50 - 12*t**2 - 9*t**2 - 4*t**3 + 21*t**2 + o*t**4 wrt t?\nAnswer: 12*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (12 - 7) - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*i + 1235 + 1528 = -526 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -71. Suppose -14 = -o + 2*y, 2*y + 33 - 1 = 2*o. What is the lowest common multiple of t and o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/204 and 39\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -0.1, 76, -3, -1\/9.\nAnswer: -3, -1\/9, -0.1, -0.01, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11381 and 798.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c - 2. Let j(u) = -6*u + 1. Let r(t) = -5*j(t) - 2*n(t). Let s(o) = 7*o - 1. Give 4*r(l) - 5*s(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -405, -919, -1649, -2601, -3781, -5195, -6849?\nAnswer: -8749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2765227154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*u + m, -2*u + 2*m + 3 = -3. Suppose q - u*s + 5*s - 48 = 0, -3*q - 5*s = -124. What is the lowest common multiple of 132 and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10 + 6))\/(1\/(-3)). Suppose 3*m = -l - 2 - 0, m - j*l = -4. Let y = 1\/32 - -33\/992. Which is greater: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -171 + 123. Let v = -0.28954769 + 48.28956869. Let x = v + g. What is x rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.0061.\nAnswer: -0.00305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 409.79522 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -12431 - 1604. Suppose 5*b = 15, d - 3*b + y = 10396. What is d rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579987670.\nAnswer: 2, 5, 57998767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**3 + 373*q**2 + 37*q + 783. What is n(-62)?\nAnswer: 2333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l + 48*l = 408. Suppose -5*d - 204 = -a, 7*a - 8*a + l = 2*d. List the prime factors of a.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 5)**2 - (5*(-4 + sqrt(17)))**2.\nAnswer: -647 + 230*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1333820 divided by 317.\nAnswer: -1333820\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140217046 to the nearest integer?\nAnswer: 11841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.5 + 36. Which is the third biggest value? (a) 0.3 (b) -2\/29 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j + 3. Let x(q) = -2*q - 1. Let n(s) = 2*s + 1. Let l(m) = -4*n(m) - 5*x(m). Suppose 3*h - 20*h = -68. Calculate h*d(g) - 9*l(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.182 and -887738?\nAnswer: 887737.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 12 + 2 = a, 0 = a - 2*w - 11. Solve 0*q = -5*q + a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140394509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 249355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001100 + 1100100110111?\nAnswer: 1100001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 28\/(-21))\/((-2)\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w - 20. Suppose -9*v + 23 = -4. Let m be i(v). Suppose 268 = m*r - 4*l, -46 - 275 = -5*r - 2*l. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 164124576.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e - 1561?\nAnswer: -1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 35*t = -524. Let n = 49 - t. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = -4*v + 1, -3*v + 3*b + 3 = 0. Let r(y) = 5*y + 0*y - y + v*y - 2. Is r(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {q: 2, b: 6, h: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -25*v**5\/7 + 19386*v**4 - 688631*v**3\/7 - 488578*v**2\/7 + 2754924*v\/7 - 216920\/7 = 0.\nAnswer: -2, 2\/25, 2, 5, 5423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -492\nAnswer: -1\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13607 + 2426. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -3\/16 (c) 0 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.2235398 plus -7?\nAnswer: 5.2235398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 8*x**2 + x + 8. Let u be t(9). Let b(c) = 7*c**2 - 5*c - 1. Let n be b(-5). Let r = n - u. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 - 66 - 204 + d**5)*(1 + 0 + 0).\nAnswer: d**5 - 360","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*-4*(-9)\/(-432)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*o + 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 1 - i**4 + 0*i**4 - i**4 - 2*i + i as s*i**3 + m*i**2 + z*i**4 + q + h*i and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y + 20. Let r be m(8). Let f(n) = n**2 + 2*n + 2. Let k be f(-4). What is the second derivative of -z - 2*z**4 + 11*z + k*z**r wrt z?\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 5*q**6\/6 - 2*q**5 - 35*q**4\/4 + 100*q**3\/3 - 30*q**2 - 1357. Find d such that l(d) = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/2 - 0)*-5)\/((-30)\/180)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1026*c**2. Let n(a) = 92*a**2 - 9*a**2 - 108*a**2. Give -247*n(k) + 6*z(k).\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 6*m - 2*m - 29, 4*q - 20 = 0. Let t be ((m - 5) + 2)\/((-4)\/114). What is the highest common divisor of t and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 714*g**3 - 248*g**3 - 375*g**3.\nAnswer: 91*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1269 - 4997*q**2 + 1269 - 9*q.\nAnswer: -4997*q**2 - 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44234696 and 242?\nAnswer: 44234696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v**2 - 7*v + 5. Let x(g) = -7*g**2 + 6*g - 4. Determine -5*j(o) - 6*x(o).\nAnswer: 2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u + 99 = 3*p, 3*p = -3*u + 144. Let f be u\/7 - ((-6)\/(-14))\/1. Solve 0 = -3*j + f - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppnbbpzbzvvzvq. What is prob of picking 1 b and 2 v?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*(-8)\/(-4). Let j = -0.19 - -0.24. Is u greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-30)*(-6)\/(-45)*5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 6*g + 5. Suppose -1 + 6 = -3*f + 5*w, -w + 3 = -f. Let r be c(f). Suppose 114*a - 2 - 226 = 0. Solve r = -a*o + o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140 + -131. Calculate the greatest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/((-9)\/108). Let z be t\/24 + (-21)\/(-4). Solve -o - 3*o - 28 = -z*u, -4*o + 8 = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5570.1 - -5570. Which is the nearest to 4? (a) l (b) 1\/4 (c) -1\/8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2*-1)\/(30\/(-140))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*a**3 + 3830*a**2 - 801175*a wrt a.\nAnswer: -258*a + 7660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115878.\nAnswer: 2, 3, 7, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c)**41*(c\/c**(-6))**(17\/4) assuming c is positive.\nAnswer: c**(939\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 13.56716?\nAnswer: -10.853728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -61*u**3 - 2*u**2 + 18*u + 44. What is t(-2)?\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*a**2*v**3 + a**2*v + 150*a**2 - 2*v**4 with respect to v.\nAnswer: -81*a**2*v**2 + a**2 - 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 26 = 13*i + 3*v, -5*v + 36 = 3*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.83 + 0.03. Let s = p - -0.68. Let y = s + -4.88. Which is the third smallest value? (a) y (b) 4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 c, and 1 n when four letters picked without replacement from nencinncconc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5\/2 - 19*k**4\/2 + k**3\/2 + 19*k**2\/2 = 0.\nAnswer: -19, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/490205 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 + 87. Let h(t) = 7*t - 17. Let g be h(q). Solve -b - 1 = -g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 3*n = -4*x + 8, 6 = -2*n + 3*x. Suppose 0 = 2*w - 3*f + 17, -4*f = 5*w - 3*f. List the prime factors of 18 - w\/(-1)*n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/38 + 15\/6. Does 12 divide 442 - ((-78)\/16 - j\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 - 2*n + 1. Suppose 8 = -5*t + 18. Suppose -o = -3*o + t. What are the prime factors of u(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 260, -9501, -25762, -48523, -77784, -113545?\n\"Answer: -3250*z**2 - 11*z + 3521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + g - 56 = -8*m, -4*m = 4*g - 44. Let s = m - 12. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6274944 by 13408.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -2) + 0 + -6 + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1971.63 * -0.13\nAnswer: -256.3119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 6:49 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2040599 and 2068?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 132829413 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 93 - 87 - (3 + 1). Let g(f) be the first derivative of 1\/4*f**4 - 10\/3*f**3 + 1\/2*f**w - 9*f - 26. Determine g(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5\/2 (b) 59857 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73496*h - 73353*h + 146741*h = 8316 for h.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 1 - (-6 + -4). Suppose -h + x = h. Suppose 3*u - 6 = -3*q - 2*u, -h*q - 3*u + 8 = 0. Sort 5, q, -5.\nAnswer: -5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-379255)\/(-18775) + (-12)\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -8)\/((-2)\/86). Let k = b - 74. Suppose -3*t + 37 = -47. What is the remainder when k is divided by t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 32, 29, 26, 23, 20?\n\"Answer: -3*u + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -183.08549 plus 66?\nAnswer: -117.08549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(-p**2 - p**2 + 3*p**2) - 85*p**2 - 907*p + 907*p - p**2 - 3*p**2 + 2*p**2 to w + i*p + j*p**2 and give j.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, o: 9, f: 1, m: 3, b: 2}. What is prob of picking 1 f and 1 b?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -40. Let k(u) = 100*u**2 - 3*u - 4. What is the least common multiple of k(o) and 12?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -55 and 781?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {l: 7, r: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(112) - (sqrt(63) + -5).\nAnswer: 5 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -3348850925759.\nAnswer: -3348850925759.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.074\nAnswer: 0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4508 divided by 28\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -518, -3, 3, -44, -2, -153.\nAnswer: -518, -153, -44, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**3\/4 + 841*o**2\/4 - 1675*o\/4 - 2517\/4 = 0?\nAnswer: -1, 3, 839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295*m**3 + 256*m + 0 - 105*m**2 - 2 - 256*m wrt m.\nAnswer: -1770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -113444104?\nAnswer: -113444104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is aa4 (base 13) in base 7?\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -753 - -4543\/6. Let s = 9\/2 - q. Which is bigger: -4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 12*h**2 + 12*h - 12. Let c be l(-13). Is (2 + c)*124\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 554?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 28787.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*w = -167*w - 271*w + 24, 2*u + 4*w - 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -413134201420 - 10?\nAnswer: -413134201430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*s = -0*a - 2, 0 = -5*a + 4*s - 6. Let l be 7 - 8 - (6 - 7). Solve 0*i - 5*i - a*p = 0, l = -3*i + 5*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3531 is divided by 297?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17567429*n**3 - 8*n + 641885?\nAnswer: 105404574*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -19 (c) 0.5 (d) 14 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 - -11010100?\nAnswer: 11000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12 = w + 19, 3*q + 2*w = 16. Let t(a) = 9*a**2 + 17*a + 4. What is the units digit of t(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cf + -1?\nAnswer: ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -42*a**2 + 1890*a - 6. Give w(45).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002425074397 rounded to seven decimal places?\nAnswer: 0.0002425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478.647 millilitres in litres?\nAnswer: 1.478647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15009505207141\/3191815400039 - 2\/895822453. Let v = -28744\/279441 + 50\/549. Let f = m - v. Is f greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -99*o + 3314. Determine n(38).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*f + 28812, -3*d + 42198 + 1020 = -5*f. Does 129 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-135)\/(-138)) - (-1)\/((-2)\/10).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46479\/166 + -280. Which is the second biggest value? (a) -2 (b) u (c) 1\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v + 8 = -18 + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 820.3773l in millilitres?\nAnswer: 820377.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14563, -29192, -43821, -58450, -73079?\nAnswer: -87708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*(-120)\/12. Solve k*f + 2 = 6*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 301927*r**2 + 301801*r\/3 - 14 = 0.\nAnswer: -1\/3, 42\/301927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1647 - -103759\/63. Let c = m + 1\/7. Let f = 12 - 7. Sort c, f, 4 in decreasing order.\nAnswer: f, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 136?\nAnswer: 29\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 9:47 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*p = 102, t = 2*t - p - 26. Let n = -63 + 89. Let z = n - t. Solve z*x = -4*b + x + 26, -4*b + 12 = -4*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c + 32*c - 52*c + 24*c.\nAnswer: 27*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2044*g + 20500. Calculate r(-10).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*p - 423*p = 266 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48994 and 95106?\nAnswer: 1616802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-70) - 6\/21. Which is the third smallest value? (a) 0.3 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-2 + sqrt(320)*2*-2*-5)*-6)**2 + 0)*-5.\nAnswer: -23040721 + 115200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3057 (base 10) in base 14?\nAnswer: -1185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22286094 and -88?\nAnswer: 22286182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2142\/211 - -59816\/4853. Find g such that -336\/23*g - 288\/23 - 2\/23*g**3 - k*g**2 = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - y = -4, 0 = 3*x - 0*x - 2*y - 20. Suppose -x*j = -2*j - 80. What is the greatest common divisor of j and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t\/(t**(3\/5)*t)))))\/(t*t*t\/(t\/(t**(3\/5)*t*t*t)*t)*t*t))\/(t**3\/(t*t**7*t)) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 22*d**2 + d + 2. Let h(s) = s**2 + s - 1. Let u(m) = -b(m) + 2*h(m). Let y be u(2). Let j = -11 - y. List the prime factors of j.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839063747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34618730 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10356.8948 + -10360. Let l = -0.1202 - j. Let a = l + -3. What is a rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuuwwuwuzwzlxw. Give prob of picking 1 l and 1 w.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13450531 is divided by 355?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4080.791751 to the nearest integer.\nAnswer: 4081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 2*c**3\/3 + 5. Let v(l) be the second derivative of -3*l**2 + 70*l + 1\/2*l**3 + 0. Calculate p(v(o)).\nAnswer: 18*o**2 - 72*o + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, k: 2, x: 1, e: 1, w: 4, b: 3}. What is prob of sequence exx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q + 2. Let x(b) = -b**3 + 13*b**2 + b - 11. Let g be x(13). Let d be i(g). Let h(l) = l**2 - 2*l + 10. What are the prime factors of h(d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3416795.8 to the nearest one thousand.\nAnswer: -3417000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.3 - 18.331. Round t to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*g - 7*g**2 + 168*g.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -606*n + 1215. Let w be s(2). Let p(d) = 20*d**3 - d + 5. Let y(q) = q**3 - q + 1. What is w*y(h) - p(h)?\nAnswer: -17*h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944948 to the power of 1\/2, to the nearest integer?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120662743 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -11*r**5\/120 - r**4\/24 + 31*r**3\/6 - 75*r. Let j(n) be the second derivative of z(n). Determine j(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 822 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2 + 21*w + 172. Let r be y(12). Which is the third biggest value? (a) r (b) 0.1 (c) -38 (d) 2\/7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*s**5\/5 + 3024*s**4\/5 - 12852*s**3\/5 - 89608*s**2\/5 - 19632*s + 1440 = 0. What is s?\nAnswer: -2, 2\/29, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 279, 1813.\nAnswer: 12, 279, 1813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10776016 + -17?\nAnswer: -10776034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5 + 62*w**4\/3 - 100*w**3\/3 - 120*w**2 + 496*w\/3 + 448\/3 = 0?\nAnswer: -2, -2\/3, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 36\/5, 1\/18, 0.1 in increasing order.\nAnswer: 1\/18, 0.1, 0.3, 36\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 140 = -37*k + 19*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 7 + 11. Let q(t) = -t**2 + 14*t + 13. Let o be q(w). Let u = 19 + o. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 7, -4, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 940655581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-9\/2)*g)**(7\/8)*g**(-6\/17)*g\/g**(-2)*g assuming g is positive.\nAnswer: g**(397\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*i - 12. Find the second derivative of 2*l - 4*l + 3*l**i - 3*l + 4*l wrt l.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*g + 1, 3*g + 10 + 3 = 5*t. Let v = t - -4. Let o(s) = s**2 - 2*s - 5. Calculate the smallest common multiple of v and o(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - 3*b**4 + b**2 + (-2*b**2 - b**2 - 3*b**2)*(0*b**2 - 4*b**2 + 5*b**2) + (-2*b**3 + 2*b**3 + 7*b**4)*(1 + 1 + 0).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlidgdg. What is prob of sequence di?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 5*o**3)*(-28 + 4 - 2) + (-27*o**2 + 4*o**2 + 13*o**2)*(3*o - 2 + 6 - 3) in the form n*o**3 + c + m*o**2 + d*o and give n.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uppuppupupuuvunnppv. Give prob of picking 2 n.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12006 is divided by 331?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.01 (b) 8\/5 (c) 1\/3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -10*z + 80. Determine g(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, z: 2}. Give prob of picking 1 u and 2 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 17 = 3*i, j - i - 3 = 2*j. Let p be -7*1\/(-1) - 2. Solve p*q + 6 = j*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87.3 + -87. Which is the third biggest value? (a) -3\/5 (b) 2\/5 (c) -4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 15*(-1 + 4 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 2*r + h - 379, -241 = -3*r - 4*h. Suppose 27*y = 12*y + r. Let a(m) = -m**2 + 3*m + 11. What is a(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940 divided by -6?\nAnswer: -470\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8424, -16604, -24786, -32970, -41156, -49344?\n\"Answer: -x**2 - 8177*x - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00293305459 to 6 decimal places.\nAnswer: 0.002933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2527 divided by -5.\nAnswer: 2527\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1295 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5.9696 times -0.03\nAnswer: -0.179088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-12))\/(1\/30). Is (-6944)\/q - 3\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = u - 7, -2*b - b = 6. Let g(t) = -13*t**3 + 2*t**2 - 1. Let w be g(u). Let q be (-3)\/4 + (-21)\/w. Solve 0 = -2*r - q - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 159222 and 398055.\nAnswer: 796110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, e: 14}. What is prob of sequence oee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 10 = 2*b, 17 = 5*b - 4*p + 2*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 + 189. Let r be 0 + 0 - (0 - 15). Let i be 144\/r - (-4)\/10. What is the highest common factor of i and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 31*s**2 - 130*s + 10. Let u be y(4). Let f(r) = -2*r - 22. Determine f(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -11. Suppose -f*h - 11 = a - 4*h, 4*a - 5*h - 24 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + ((-20 - -14) + 20 - -8)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1747, 1749, 1751?\n\"Answer: 2*d + 1745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4, 19811.\nAnswer: -4, -2, 4, 19811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/5, 2\/21, 518, 1\/4, 0.14, -2?\nAnswer: 518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a factor of 7744716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 6*s + 2. Suppose -5*q + 3*d + 18 = 0, -4*d - 18 + 58 = 4*q. Let z be c(q). Solve -z*k + k + 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 11 = -2*t + 5*a, -3*t + 4*a = -8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 107074?\nAnswer: 107077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 59*v**2 - 1 - 1.\nAnswer: 59*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2. Let o(f) be the third derivative of -1\/40*f**5 + 0*f + 0*f**4 + f**3 + 6*f**2 + 0. Let y(h) be the first derivative of o(h). Give y(u(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 14*n - 45. Let c(q) = -q**2 - q - 1. Let h(b) = 3*c(b) - u(b). Let t be h(14). Solve -5*w + 4*k + t*k = 22, 0 = w - k + 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 2*n**3 + 2*n**2 - 74*n - 394*n + 84*n.\nAnswer: 2*n**3 + 6*n**2 - 384*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12968 and 0.5.\nAnswer: 6484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4983 and 96897.3.\nAnswer: 91914.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -38767\/10542?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k*x**3*y**2 + 116*k*x**3*y - 6650*k*x**2*y - 86*x**3*y + x**2*y**2 - 3*x*y**2 wrt x?\nAnswer: -12*k*y**2 + 696*k*y - 516*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6927*y - 16957301. Calculate a(2448).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a factor of 347047090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 9, -2, -25, -66?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n = 210241 + 601044 - 235780. Is 63 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23122860 by -11.\nAnswer: 23122860\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.08, 1\/5, 1\/4, 0 in decreasing order.\nAnswer: 1\/2, 1\/4, 1\/5, 0, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**4\/4 - 7*y**3\/3 - 9*y**2\/2 - 11*y - 110. Calculate the remainder when 90 is divided by z(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50784*m**3 + 494*m + 34.\nAnswer: 304704*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 (base 4) in base 16?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Suppose a*n + 20 = 54. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.173435\nAnswer: 0.0173435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) 0.1 (b) -0.7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/(d\/(d*d**8)))\/d)\/d**3)**(-16\/5)\/((d*d\/(d\/(d\/(d**4\/d)))*(d\/d**(3\/10))\/d)\/(d**(-3)*d**2)) assuming d is positive.\nAnswer: d**(-189\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8872008 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -173*z + 10220. What is n(59)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i + 199. Let u be s(29). Let h(o) = o**2 + 10*o + 1. Give h(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -308, -1250, -2830, -5054, -7928, -11458, -15650?\n\"Answer: -u**3 - 313*u**2 + 4*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36418332 = 151*l + 36404742 for l.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 13*c**2 - 2*c + 2. Let l(f) = -f**3 - 12*f**2 - f + 2. Calculate -3*l(j) + 2*m(j).\nAnswer: j**3 + 10*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/10)\/((-18)\/24).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 98 = 32*u. Let x(z) be the third derivative of -3*z**4\/8 + z**2 + 22. Give x(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2. Suppose 13 = 8*m - 51. Let r(c) = 4*c - m*c + c. What is r(i(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6*1*-6. Suppose -3*a = d - 16988, -q*d + 26444 + 24552 = a. Round d to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1. Let h(a) = 8*a - 2*a**2 - 3*a + 3 - 3*a + 6*a**2. Give h(j) - 5*w(j).\nAnswer: 4*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + c**4 - 2*c**2 + 16*c - 21*c - c**3 + 3*c**2 in the form f*c**4 + m*c**3 + n*c**2 + t*c + q and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81737520467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 2. Let a(c) = 4*c - 9. Let b(g) = 2*a(g) - 9*i(g). Let s(y) = 6*y. Let f(m) = 30*m. Let j(l) = 5*f(l) - 24*s(l). Give b(j(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*n - 36371, 18150 = 2*n + f - 37. Let i = n - -9224. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Suppose b = 5*v - v + 60. List the prime factors of ((-12)\/v)\/((-2)\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.07 or 48319943?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-4\/5))**(-2)*l\/l**(-17)*l*l\/(l*l**(1\/3)))**36 assuming l is positive.\nAnswer: l**(2352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from kppggegegphehegggh.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < 123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 61012 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**8\/6720 + x**7\/1260 + x**4\/12 - 9*x**2. Let i(h) be the second derivative of f(h). Suppose i(l) = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-220) + (-53)\/22 + 0.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5030 (base 15) to base 12\nAnswer: -9960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1620, 3234, 4848, 6462, 8076?\nAnswer: 9690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/8 and -31\/461926697.\nAnswer: 3695413576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/1175 + 8233\/4700. Let h(d) be the second derivative of d**5\/20 + 7*d**4\/12 + 5*d**3\/6 - 2*d**2 + d. Let x be h(-6). Which is bigger: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 - 20288*x - 2*x**3 + 20307*x.\nAnswer: -7*x**3 + 19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(2862\/(-265)) - ((-166)\/(-8) - -1)*4?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + r - 15, 0*r - 4 = 2*r. Let q = n + -7. Is 2\/q - 7576\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 158994 and 28551402?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 - (-4 + (-4 - (2 + -5)))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 25*u - 87. What is the remainder when 140 is divided by y(-17)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*m**4 + 2 + (15*m**2 - 15*m**2 + 4*m**4)*(-6 - 1 + 2))*(-3*m + 4*m + 2*m + (-m - 3 + 3)*(-2 - 2 - 1)*(-1 + 3 - 3)).\nAnswer: 30*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-10)\/8*6. Suppose 0 = -2*v - u + 57. Let -v*h**3 - 60*h + 54*h**2 - 8 + 2 + 12 + 18 + 3*h**4 = 0. Calculate h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.28 + -0.3. Let o = 0 + f. Let s = 0.02000002 + o. Round s to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(252\/(-35)))\/((-56)\/42).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(468) + -4 - (-1 + sqrt(468) + 2))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 11*u**7\/280 - u**6\/48 - u**5\/20 - 20*u**4\/3 - 5*u**2 + u. Let g(a) be the second derivative of o(a). Factor g(j).\nAnswer: 3*(3*j - 1)*(11*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = -3*h, h + 4 + 4 = 4*k. Solve -5*u + h*s + 21 = -s, -u = -4*s - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158*n = -1154*n - z - 65, -2*n = 5*z - 27 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21630, -43259, -64886, -86511?\n\"Answer: k**2 - 21632*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f*j**2 - 137*f + 31*j**3 - j**2 wrt j?\nAnswer: -4*f*j + 93*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 4*o**2 - 191*o + 582. Let s be g(3). Are s and -47 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6105 and 9263727?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 13 = x, -2*t + x + 2*x + 4 = 0. Let v be 125\/2*(-608000)\/t. Round v to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 0.4 (c) -52.379\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 16*h + 20. Let c be a(19). Let y = c - 9. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaea when four letters picked without replacement from aeaaaaaaaeaaaaaeaaaa.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 4:52 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 80 = -5*w. Let v = 3 + -4. Calculate the remainder when 45 - (2 + v)\/(-1) is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 513*t**3 + 81*t**2 - 81*t - 81. Let d(p) = 22*p**3 + 50. Let r(x) = -2*x**3 - x**2 + x + 11. Let l(j) = d(j) - 5*r(j). What is -81*l(i) + 5*m(i)?\nAnswer: -27*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 22*a**2 + 3*a - 8. Let k be b(4). Suppose -3*j - 364 = -5*j - n, -2*j + n + k = 0. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.62 + 192.1287246\nAnswer: 208.7487246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = -4*x - p, 5*x + 3*p = 22. Differentiate -1625*q**2 - 62*q**3 + 11 + 1625*q**x wrt q.\nAnswer: -186*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 15*v + 3. Suppose -2*x + 6 + 4 = 0. Let u be j(x). What is the highest common divisor of u and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + 11. What is the tens digit of 4\/(-6) + q\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 106 + (-1 - (-2)\/(-4)*-8). Let i = m + -35. Let n = i - 48. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, -25, -0.4992, -0.2, -0.3, 0.06?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -180480950970 and 3?\nAnswer: 180480950973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x - 17. Let s be r(-6). Suppose 0 = 3*u - 4*u + s. What is the remainder when 46 is divided by 49\/2 + -4 + u\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 14. Give w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9249 and -46654.49448?\nAnswer: 37405.49448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 20*r - 1. Let w = -9 + -6. Is v(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-234)*170\/(-340))\/((-1)\/2).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 244694, 489386, 734078, 978770?\n\"Answer: 244692*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39936 * 38.\nAnswer: -1517568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/57 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45 - 15 + 11)*(-5*h - 3 + 3)*(-2*h + 2 - 2) - h**2 - 3*h**2 + 0*h**2 as v*h**2 + n + j*h and give v.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 5, y: 5, j: 1, v: 2, m: 2}. What is prob of sequence ljm?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 720 by 2.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6654)\/(-5)*250\/100 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 1484.\nAnswer: -11872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucfbcnbynbyc. What is prob of sequence cyfn?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -42*c - 750. What is the smallest common multiple of 242 and d(-32)?\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -579, -2015, -4407, -7755, -12059, -17319, -23535?\n\"Answer: -478*l**2 - 2*l - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7038 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c + 1. Let q be x(1). Let p be (3 + -4)\/(q\/4). Round p to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456802, 910881, 1364960?\nAnswer: 1819039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*v - 24 + 7 = -2*a - 2*v, 4*v - 4 = 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -7*o**4\/12 + 2*o. Let t(p) = 29*p - 6. Let h(i) = 5*i - 1. Let f(q) = -6*h(q) + t(q). Calculate f(b(r)).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2581, 5163, 7745, 10327, 12909, 15491?\n\"Answer: 2582*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/25 in 4, 0.2, 1\/4, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 120245020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, -2, 0.2, 2, 1\/36 in decreasing order.\nAnswer: 2.7, 2, 0.2, 1\/36, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**3\/3 + 2*i**2 + 3*i - 11. Let c be y(3). Solve 5*w + 9 = -c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -3, 7, 5, 0 in increasing order.\nAnswer: -3, 0, 5, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -321*t - 18880. Calculate i(-59).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 228331, 228330, 228329, 228328?\n\"Answer: -d + 228332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1109896 - -0.08\nAnswer: -1109895.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4193 and 805.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 3*p + 1. Suppose -5*b = -7*b. Suppose -3*t = d - 7, b = -3*t + 2*d + 11 + 2. Determine z(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 - (-125646)\/(-12))\/((-5)\/30) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000110 (base 2) to base 16.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 28 + 4 = 0. Let d be p\/(-21) - 57\/21. Sort d, -4, 4.\nAnswer: -4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7. Find a such that k + 0 + a**2 + 2*a + 0*a**3 - 3*a**3 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -28*q**2 + 4*q - 5. Let b be z(4). Let j = b - -678. Suppose -24 = -5*s + j. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24233475 is divided by 256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 205*-48*(-21)\/(-5040)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 4*k**2 + 6*k + 9. Let g be c(3). Solve g - 33 = -6*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.15 - -12.15. Is s at least 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 4*n = 3*t + 80, -3*n = t - 12. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -61, -85, -113, -151, -205, -281, -385?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1417, 6366, 14853, 26884, 42465, 61602, 84301?\n\"Answer: y**3 + 1763*y**2 - 347*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19643, -78423, -176389, -313541, -489879, -705403?\nAnswer: -960113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-20))\/(5\/(40\/(-6))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 31 + 5. What is the highest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.732 - -0.268. What is the biggest value in 7, 4\/3, u?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 - 10*o**3 + 12*o**2.\nAnswer: 2*o**2*(o - 3)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 304.1 to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521601814 to the power of 1\/3, to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l + 13*l + 7*l to the form r*l + n and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -7*o**3\/3 - o**2 - o - 2. Suppose 0 = -v - 4 + 2. Let j be ((-5)\/(-10))\/(1\/v). Determine y(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10760783 to the nearest integer?\nAnswer: 3280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 7*r**2\/2 + 7*r + 1. Let a(h) = -6*h - 6. Let o(f) = -33 + f - 5 - 3*f. Let b be o(-21). Give b*c(u) + 5*a(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-6)*a*a\/(a\/a**7)*a*((a*a**(-4))\/a)\/(((a*a**(1\/6)*a*a)\/a)\/a*a) assuming a is positive.\nAnswer: a**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2) + sqrt(50) + (sqrt(50) - (sqrt(50) - -6*sqrt(50)) - sqrt(50)))**2 + 2.\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 71*q**6\/6 - 108*q**3 + 140. What is the third derivative of b(k) wrt k?\nAnswer: 4260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j = -n + 128, 0 = 3*j - n - 192. Calculate the greatest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 1606?\nAnswer: 6424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-5\/3)*w*w**(-2\/51)*w**(1\/5)*w**(3\/2) assuming w is positive.\nAnswer: w**(339\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 2*q**2 - 2*q - 3. Calculate h(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (7\/(-7))\/(27\/459)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 16*h + 414. Let j(w) = 15*w + 549. Let g(a) = 3*j(a) - 4*x(a). Let k(l) = 9*l + 4. Determine 2*g(t) + 5*k(t).\nAnswer: 7*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsstsgttegssgsstst. What is prob of picking 1 t and 2 g?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3242738?\nAnswer: 2, 1621369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Suppose -x*l + 6 = -l. Suppose f - 45 = -5*z - l*f, -4*f + 25 = z. Let g(b) = b - 4. Give g(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 29 = 4*k - 0*o, 467794*k + 27 = 467792*k - 3*o for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (40*(-55)\/(-22))\/((-4)\/(-6)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 9150.968\nAnswer: -2745.2904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*(-4620)\/44\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*a = 149, 5478076*g - 5478073*g + 2*a = -217 for g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59420259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_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 y be 3*-2*(-1)\/(-2). Let x(n) = 3*n**3 - 20*n**2 - 12*n + 38. What is the least common multiple of x(7) and 7 + y\/((-3)\/(-2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**5 + 16*c**4 - 2292*c**3 + 17120*c**2 - 14848*c = 0. Calculate c.\nAnswer: -29, 0, 1, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.3*278.806.\nAnswer: -1477.6718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 181.81 + -0.81. Let f = -128 + r. Let a = -53.00000052 + f. What is a rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.212 * -163\nAnswer: 34.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1259 or -1258?\nAnswer: -1258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -829 or -830?\nAnswer: -830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/((-144)\/(-28)))\/(5\/10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12884540, 12884544, 12884550, 12884558, 12884568?\nAnswer: 12884580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*i - 7, -3*z = -4*i - 4 - 9. Let p(g) = -5*g**2 - 3*g + 3. Let r(x) = -x + 3 - x**2 - 2 + 0*x**2. Give z*p(k) + 3*r(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/(-114) + 85\/6. Suppose 8*g = 18 + x. Suppose -c = -3*c - 5*y - 16, -5*c - y + 6 = 0. Solve -6*n + c*n = -g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -46*x**2. Let z(b) = -617*b**2 - 2*b - 5. Determine z(q(n)).\nAnswer: -1305572*n**4 + 92*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397824?\nAnswer: 2, 21841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6968 and 293449?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 7:02 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -7*a + 2*b - 149, a + 3*b = -57. Let y = a - -55. Solve -4*u = -6*u - y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/(-6) - 2\/(-3). Suppose -13*n - 5*n = 9*n. Sort n, m, -2.\nAnswer: m, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 - -37. What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -71\/8 (b) -2\/9 (c) -5 (d) 681\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmormi. Give prob of sequence io.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**2 - 13*z + 24. Let y be n(6). Let w = y + -122. Suppose 5*o = -2*t - 10, w*o = 5*t + 28 - 3. Solve -l + q - 3*q = -11, -3*q + 9 = o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y + 6. Let w(l) = -2*l + 1. Calculate k(v) + 3*w(v).\nAnswer: -8*v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -482*s - 237.\nAnswer: -482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 7) to base 9\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-125)\/400)\/(4\/(-24))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.175 - -56.175. Let v = -55.7 + m. What is the nearest to -2\/5 in v, 9, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/2)\/(-1)*-5. Suppose -u + 20 = 2*g + 3*u, 3*u - 15 = 0. Solve c + g = o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11134425 (base 6) to base 15.\nAnswer: 6a7db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19603 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/5, 150, 0, -1\/12 in decreasing order.\nAnswer: 150, 2\/5, 0, -1\/12, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12303322301 (base 4) in base 16?\nAnswer: 1b3eb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) - 6*(sqrt(1400)*1 + sqrt(1400)) - 5*(1*sqrt(1400) - sqrt(1400)))\/((sqrt(80)\/sqrt(72))\/(-5*-2*sqrt(5))).\nAnswer: -3300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-25))\/b*b\/b**(-14\/3) assuming b is positive.\nAnswer: b**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1180523774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 4*d - 4. Let z(p) be the third derivative of p**4\/24 + p**3\/3 + 10*p**2. Let x be z(2). What is f(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Suppose 24 = -c*y + 4*g, -16 = 3*y - 4*g - 3. Let b be -17 + (-2)\/(-4)*10. Which is bigger: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*u + 60 = -143*u. Suppose 165 = -u*z + 21*z. Calculate the remainder when 88 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12*2)\/((-16)\/(-32))*(-12)\/392?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((5 - (-4 - -15)) + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/c**(-4)))\/c*c*c**0*(c**(-1)*c)**(-4\/17)*(((c\/((c**(-3\/11)*c)\/c))\/c)\/c**(-2\/11))**(-32) assuming c is positive.\nAnswer: c**(-215\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -67330, -67697, -68064, -68431, -68798, -69165?\n\"Answer: -367*w - 66963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**2\/2 + 3*q + 2. Let m be c(6). List the prime factors of (2 - (-2)\/m)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 + 21 = -10*c. Let h(i) = 3*i + 54. Let t be h(c). Suppose n + t*n = 172. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexxxxxexxxeexxxxexx. What is prob of sequence xe?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20196)\/121)\/27)\/(1\/(-11))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - (53 + -41)) + (-113 - -9)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = 4*y - i, -3*i = -2*y - 2*i + 192. Let u be (3\/y)\/(3\/(-4)). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2 - 4664*t - 5438224 = 0.\nAnswer: -2332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1460374 + 0.146. What is b rounded to 6 dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 1:02 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2)*(-1898 + 821 + 11*n + 842) in the form v*n + g and give g.\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -311212?\nAnswer: 311232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13988 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-22 + (3 - -16))) + -17 + 1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*z - 5 = 159*z. Solve 2*h + b + z = 6*b, -5*h + 9 = -b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 119.142\nAnswer: -357.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4267 - 4264. Solve -4*q + 3*z = -1, -m*z - 3 - 8 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + (-5)\/3)\/(4\/36). Let t(p) = 6*p + 5. Let f(u) = -3*u - 2. Let i(k) = -5*f(k) - 3*t(k). Calculate i(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*q + q**3 + 3*q**3 - q**2 - 80*q - 4*q**3 + 5*q**3 in the form k*q + a + w*q**2 + v*q**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbbnn. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1336.793976 seconds?\nAnswer: 0.0022103075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -62.7 and 5440?\nAnswer: -341088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(3*(-51)\/3672).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k. Let a be (14\/3)\/(12\/(-162)). Let m = -63 - a. Suppose m = -5*f + 10. What is i(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9666 divided by 5.\nAnswer: 9666\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-35) - 4*9\/(-15). Suppose 2*r - 2 = -l + r, -j*l - 3*r = -4. Suppose 5*p - 6 = -2*h, 0*p + 4*h = 2*p + 12. Solve 0 = -z + l - p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - 44) + 21 - (-3 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 v when three letters picked without replacement from {p: 2, n: 1, k: 1, v: 2, o: 1, g: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29953 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 13*k + 37. Let i(g) = -4*g**3 + 4*g**2 + 4*g - 5. Calculate the remainder when i(-3) is divided by m(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - k**2 + k + 35. What are the prime factors of h(-8)?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87390 and 582600?\nAnswer: 1747800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -578790, -578787, -578784?\nAnswer: -578781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Suppose -b*a + 4*a = -4*r + 70, 4*r + 4*a = 76. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5082.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iicc when four letters picked without replacement from {v: 2, d: 3, i: 7, c: 5, p: 3}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -4*y**3\/3 - y**2 - 2. What is the second derivative of q(j) wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49597 or -46098?\nAnswer: -46098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**3*q**2 - 53*j**3 + j**2*q**2 - 3*j - 11*q**2 wrt q?\nAnswer: -4*j**3*q + 2*j**2*q - 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (4 + -1)) + -1 - (377 + -393).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 + 77. What are the prime factors of -1 - p\/(8\/(-636))?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(476\/24))\/((-4)\/(-28)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 31 = 17. Solve 3*b = -2*p - p + d, -b = -p + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 12 - 0. Let n(r) = r**2 - 13*r + 15. What is the remainder when n(f) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**5 + 18*q**4 - 25*q**3 + 10*q**2 - 2. Let t(d) = -d**4 - 1. Let g(a) = -2*t(a) + v(a). Solve g(s) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 13\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2633, 7, 1533 in descending order.\nAnswer: 2633, 1533, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/975 and 32\/2145.\nAnswer: 10725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h + 88. Calculate q(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2575 + -1159. Let h be c\/28 + (-25)\/7 + 3. What is the highest common factor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 5*w**2 + 4*w + 3. Calculate v(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 2*m - 1. Let s be y(3). Suppose 4*x - 2*n - s = x, -x - 5*n - 18 = 0. Solve -2*i + 2 + x = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3825 - -3823. Which is the closest to -2? (a) -0.01 (b) 0.057 (c) 0 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = -4*a - 5 + 98, -2*s - 84 = -5*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 0*i + 53 - 7*i + 5*i. Does 13 divide u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 - 445 = -3*i. Let q(n) = -5*n**3 - 2*n**2 + n + 3. Let s be q(-2). Calculate the greatest common factor of s and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15745.\nAnswer: 5, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4018 and 30331?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**2 - 8*m + 2. Let t be j(6). Suppose -t = 4*y + 42. Let p = y + 67. Solve 4*o - 3*a = -0*o, p*a = 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 5608.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)*q\/q**(-2\/47)*q)\/(q**(-5)\/(q\/(q*q**(-20))*q*q)) assuming q is positive.\nAnswer: q**(5507\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143485.\nAnswer: 5, 28697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 221 - 3*s + s - 173 in the form t + o*s and give t.\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 8. Let g be t(11). Let h be 11\/((-539)\/42) + (-2)\/14. Let r be 95\/45*h - 4\/(-36). Sort g, -5, 1, r in descending order.\nAnswer: 1, r, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(675\/(-10))*162.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**4\/6 + 10*v**3\/3 + v**2 - 5*v. Let w be i(-10). Which is the second smallest value? (a) 3\/5 (b) w (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -19*h + 52. Factor 0 - 12\/5*c**3 + h*c + 14\/5*c**2 - 2\/5*c**4.\nAnswer: -2*c**2*(c - 1)*(c + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1835*k**2 + 25688*k - 27. Give n(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.25 (c) 4362 (d) -1\/4 (e) -4 (f) -2 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 b when three letters picked without replacement from zzabdbdzqqbttbbqbq.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*f**3*l**3 - f**3*l**2*x - 3*f**3 - 2*f*x - 2151132*l**3*x - 1571*l**2*x - 542*x wrt l?\nAnswer: -114*f**3 - 12906792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(170) + (sqrt(170) - (sqrt(170) - (2*sqrt(170) + sqrt(170))*-6))))\/((sqrt(10) + sqrt(1000) + (sqrt(1000) - -1*sqrt(1000)))*-6)*5.\nAnswer: 425*sqrt(17)\/186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iioiojiijjiaji. What is prob of sequence ioo?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvy when three letters picked without replacement from yxmyvvy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 36*i + 27 = -3*s, -20 = 5*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*a - 3465*a**2 + 4867*a**2 - 568*a + 5486*a**2.\nAnswer: 6888*a**2 - 856*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19121067 by -827.\nAnswer: 23121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75457062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/2))**(-49)\/(y**(-2\/27)*y*y*y*y**12*y) assuming y is positive.\nAnswer: y**(5755\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4875*t - 366564 = 184311 for t.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28680 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 8. Suppose 13540 = 4*v + 2*c, -7392 = -r*v + 4*c + 6172. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**4\/3 - 4*b**3 + 4*b**2 - 4*b\/3 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6.1\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2110473, -4220946, -6331419, -8441892, -10552365?\nAnswer: -12662838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31274056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 19*t + 0*t - 56*t.\nAnswer: -71*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 2*f - 221, 0 = -8*f + 3*f + 15. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3310*c**2 - 2*c - 28. Let y(t) = 3310*t**2 + 2*t + 35. What is -5*k(f) - 4*y(f)?\nAnswer: 3310*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 5 (c) 40 (d) -3\/10 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21025)\/580)\/(217\/(-168) - 4\/(-6))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45925 take away -1415939865?\nAnswer: 1415985790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202210 (base 4) to base 5.\nAnswer: -32322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -41*o + 7. Let r(m) = -78*m + 15. Give 13*g(z) - 6*r(z).\nAnswer: -65*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9*x**2 - 25*x + 6. Let v(y) = -8*y**2 - 25*y + 6. Let j(c) = -4*t(c) + 5*v(c). What is the least common multiple of 6 and j(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101102110120 (base 3) to base 12.\nAnswer: -729473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(190)\/sqrt(10) - ((sqrt(304) - (sqrt(304) + 2)) + sqrt(304)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 51896 = -191123. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19847.5 + -19847. What is the closest to 1 in -3\/11, -1, z, -16?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2688 (base 14) in base 16?\nAnswer: 1a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t - 49. Let g be z(-9). What is the smallest value in g, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/3)\/(-2))\/(342\/513).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 14666213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*-8.9377\nAnswer: -17.8754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 780 and 17630535?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 1\/6, 5, 15, 347, 4, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**3 - 3*b**3 - 1 + 19*b**3 in the form l + i*b**3 + s*b + v*b**2 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-2\/11)\/u))\/((u*(u*u\/u**7)\/u*u)\/u))**18\/((u**(-1))**(-29)*u**(2\/3)*u**8) assuming u is positive.\nAnswer: u**(3023\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f - 3*p = -41*f + 16, -2*f + 16 = -2*p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 284039*j**3 - 20169396360*j**2 - 20169680400*j.\nAnswer: -j*(j - 142020)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87 * -0.4.\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3)**(1\/3)\/((w\/(w**(-2\/5)\/w))\/w)**(2\/123) assuming w is positive.\nAnswer: w**(601\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -5*z + 11, -5*o + 8 = -2*z - 2*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.7 + 1.3. Let p = -1 + w. Which is the smallest value? (a) p (b) -0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -290 + 466. Calculate the common denominator of (-95)\/(-4) + (-1)\/4 and (-408)\/r + 3 - 2*1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 29*t - 54. Let z be n(2). Which is the second biggest value? (a) -8 (b) 5 (c) 2 (d) -0.08 (e) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9911 + 9908 - 39639 + 4*m + 9909 + 9911 - 5*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9937*u**3 - 1823*u**2 - 4948403*u.\nAnswer: -59622*u - 3646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*d + 5*d. Suppose -2*b + 244 - 220 = 0. Calculate the common denominator of 21\/2 and d\/b - 26\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 4160?\nAnswer: -21\/2080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 91*p + 149. Let m be h(-4). Is m smaller than -214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*n = -2190 + 2110, 5*i - 3*n = 74 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -482 + 566. Calculate the remainder when 249 is divided by i.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c + 2*c - 407 = -2*f + 285, 5*c = -434*f + 432*f - 182 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8280213 and 27.\nAnswer: 74521917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 141 = -4*o + 542, -57 = -x + 5*o. Calculate the remainder when x is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44740535 a multiple of 1805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.49437 to two dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b + 14*b**4 + 14*b**4 - 18*b**4 wrt b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -200 - -62156?\nAnswer: 61956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -12*l + 2. Let r be i(-2). Suppose -21*c - 20 = -r*c. What is the common denominator of c\/(-20) + 1146\/280 and -17\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 6:11 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1917480 by -10.\nAnswer: -191748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15031146126 - 5?\nAnswer: -15031146134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/988)\/((-215)\/(-103415)).\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 47*u + 28 = 43*u, -5*r = 10*u + 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 - o + 1. Let d be t(-4). Let g = -9886 + 9812. Let z = d - g. Calculate the remainder when 43 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 * 1.747.\nAnswer: 0.38434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13574 and 25186?\nAnswer: 3418.74764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n = -212. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1893618, 1893620, 1893622, 1893624, 1893626, 1893628?\n\"Answer: 2*p + 1893616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 60 = -4*o, u - 4*o + 3 = -9. Solve 2 = 5*z - u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -970?\nAnswer: -970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4)*28\/(-6). Suppose -8 = d + l. Let h = -8 - d. Calculate the least common multiple of 10 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*(48\/(-15))\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 6*l - 3*l + l.\nAnswer: -3*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1900)*4 - sqrt(1900))**2 + -4*(sqrt(19) + 3*sqrt(19) + -3) + 2.\nAnswer: -16*sqrt(19) + 17118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*g + j, 0*g - 3*g + 4*j = -26. Let f = g - -2. Let d(i) = i**3 - 3*i**2 - 5*i - 1. Calculate d(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 s when three letters picked without replacement from ysyyss?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 12:26 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1800, 5, -1\/5 in increasing order.\nAnswer: -1\/5, 5, 1800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in 9, -46, 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 282871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -450 or -449?\nAnswer: -449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 3*v + 3. Let i = 3 + -9. What is the remainder when p(i) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211002210000 + 0?\nAnswer: -211002210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41061071 and 14326?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-204)\/(-34).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 0.5 (c) 18 (d) -38 (e) -17 (f) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.248 to one dp.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7484219, 7484219, 7484205, 7484171, 7484111, 7484019?\nAnswer: 7483889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -306 - -297.9. Let r = 7.132 + i. What is r rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -6, 4\/5, -5, 2\/9, -8 in descending order.\nAnswer: 4\/5, 2\/9, -0.1, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(16\/60 + (-5)\/((-125)\/(-15))). Sort q, -2, -1, 472 in descending order.\nAnswer: 472, q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r**2 + 12*r**2 - 33*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110011010001111 + 10?\nAnswer: -100110011010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 13*x = 2*m + 46, 4*m + 2 = -5*x. Solve 2*u = -u + x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48342090 times 0.04\nAnswer: -1933683.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3320 - 2207. Which is greater: o or 1114?\nAnswer: 1114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.088, -0.2, -3?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 - 1228*w**3 + 3708*w**2 - 3716*w + 1240.\nAnswer: -4*(w - 1)**3*(w + 310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 5*c = m - 7, 0 = 4*m + 5*c - 28. Let z(p) = 13 - 14*p + 6*p + m*p. Let h be z(9). Solve 4*v + 3*s = 1, s = -3*v + h*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 2 + 2)*(-d**2 + d**3 + d**2) + 2939*d**5 + 5182 - 5182 - 5*d**5 + 7*d**5 + 3*d**5.\nAnswer: 2942*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/5, -1, -15 in increasing order.\nAnswer: -15, -2, -1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - v + 1. Let n(u) = 9*u + 0*u**2 + u**2 + 10*u**3 - 2 - 5 - 3. Give -18*g(c) - 2*n(c).\nAnswer: -2*c**3 - 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 159268.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*317463\nAnswer: -126985.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 8. Let z(b) = -2*b + 14. Let f(x) = 7*t(x) + 4*z(x). Let m(g) = -6*g - 1. What is 4*f(o) - m(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 11:36 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 625, -1, -12, 1 in decreasing order.\nAnswer: 625, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 58?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) - (-3)\/5. Let g be 7\/(-1) - (7 + w)\/(-2). Is 10 a factor of g\/(15\/(-5)) + 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 3*g**2 + 5*g - 11. Let z be k(-5). Suppose 8*t = z*t - 678. Suppose 2*q - t = 249. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 30 - (2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 0 - 1\/2*x**2 - 2*x**3 - 5*x. Is 6 a factor of i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216036 and 312027996.\nAnswer: 936083988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/20*35\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypzfytfa. Give prob of sequence atf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*t - 2*t + 5*t as j + b*t and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = x - 5*x. Let y = -17\/6 + x. Determine p so that 0 + y*p**2 + 0*p = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*h**2 + 7*h?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 14*a**2 + 28*a - 49. Calculate j(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 28 = 2*l, 2*l + 8 = n + l. Suppose 0 = -n*k + 2*k + 60. Suppose 0 = -4*v - v - k. Sort v, 4, -1.\nAnswer: v, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1000, 49, -2856, -7715?\nAnswer: -14528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s**3 + 33*s**2 + 7*s - 25. Let f(h) = 4*h**3 - 14*h**2 - 3*h + 10. Let n(r) = 2*c(r) + 5*f(r). Calculate n(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1389942.966 rounded to the nearest 1000?\nAnswer: -1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 83.83253 milligrams?\nAnswer: 0.08383253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(16*(-3)\/(-12)). Which is the fourth smallest value? (a) 4 (b) -3 (c) -61 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/10)\/(-1))\/((-123)\/((-199875)\/260))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1047 - 1049. Sort 153, n, -3 in decreasing order.\nAnswer: 153, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) -4 (c) 58 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*p + 13814*p**3 + 13816*p**3 - 27631*p**3 + p**4 - 1 - 2*p**2 to n + d*p + k*p**2 + c*p**4 + x*p**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3184 = -n, n - 796 = -i + 5*n. Suppose -4*r = o - 1890, -2*r + 156 = 4*o - i. Is r a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + -1.04. Which is the closest to v? (a) 2 (b) 1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364 divided by 28.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v - 1. Let w be q(-2). Solve -3*b = w, 3*l - l - 2*b - 4 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in 0.4, -0.5, -0.1, -7, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16563 = 7*z + 8903. Let v = z + 5544. Suppose 10*s + 66 = v. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 8*x**2 - 16*x - 4. Let a(h) = -h. Let t(u) = -6*a(u) + o(u). Let g be t(-9). Solve -5*m = g*l + 35, 22 = -5*l - 2*m - 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -14*q + 281. Let k be v(20). Solve 17 = -4*p + k, -2*c + 22 = -4*p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12702124\/6485 + -91\/12970. Let o = n + 1961. Find the common denominator of o and -149\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*31.7.\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2060\/200 - 10)*8.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4096, -3878, -3298, -2182, -356, 2354, 6122?\n\"Answer: 29*j**3 + 7*j**2 - 6*j - 4126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 35*i - 44. Let g be c(32). What is the highest common factor of g and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*r + 3*y - 46, -4*y = -20. Suppose 15 = -4*m + 9*m. Suppose 5*d - 42 = m*d. Calculate the remainder when d is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 39. Let l = t + -4. Suppose -2*c + o + 30 = 0, -3*c + 40 = -4*o - 5. Solve 3*m + 2*m = c, 5*m = 3*v + l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -53, -92, -145, -212?\n\"Answer: -7*o**2 - 18*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -18*m**2 + 23*m - 4. Let u(q) = 27*q**2 - 36*q + 6. Let a(p) = -7*o(p) - 5*u(p). Factor a(b).\nAnswer: -(b - 2)*(9*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*g - 9*g - 19*g - 714 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:09 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4817499*z**2 - 15*z - 16. Let w be y(-1). What is w rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/8 - 51*c**2\/8 + 111*c\/8 - 57\/8.\nAnswer: -3*(c - 1)**2*(c + 19)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + sqrt(108)\/(sqrt(3) + sqrt(3) + sqrt(3) + sqrt(48) + sqrt(3)))*5)\/(-5*sqrt(144)\/(sqrt(12) + 2*sqrt(12))).\nAnswer: -27*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-168))\/((-1)\/(-2))*-3.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**2 - 7*o + 6. Let u(k) = -5*k**2 + 6*k - 5. Let l(y) = -y**3 - 6*y**2 + y. Let h be l(-6). Let q(a) = h*m(a) - 7*u(a). Differentiate q(n) wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/7775 + -334269\/217700. Find the common denominator of 19\/12 and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a centimeter in millimeters?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36796, -36853, -36948, -37081?\n\"Answer: -19*f**2 - 36777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - -4 - 2\/(-2). Suppose 3*i = p - 19, 5*p + 2*i + 0*i = 61. Let b = p + h. What is the remainder when 26 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -11 - 2 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -263, -533, -807, -1085, -1367?\n\"Answer: -2*f**2 - 264*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 142*g + 303. What is the remainder when d(7) is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16897221 to the power of 1\/2, to the nearest integer?\nAnswer: 4111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129417?\nAnswer: 19, 59443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 2*t - 16. Let l = 62 + -40. What is the remainder when l is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 24 = 28. Let k(i) = i**3 - 3*i**2 + 1. Let m(n) = 2*n**2 + 3*n**2 + n - 1 + n**2 - 2*n**3 - n**3. Let w(p) = -5*k(p) - 2*m(p). What is w(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35213126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**6\/30 + 9*p**3\/2 - 36*p**2. Differentiate o(h) wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078563 bigger than 2078562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 31, 39, 49, 61?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/5, 2\/11, 19 in ascending order.\nAnswer: -2\/5, 2\/11, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 61, 3.\nAnswer: 0, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3959441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16258819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*sqrt(7))*1)**2.\nAnswer: -12*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**32\/((m**(1\/2)*m)\/(m\/(m*m**(1\/2)\/m)))*(((m*(m*(m**(-7)\/m)\/m*m)\/m)\/m)\/(((m*m**(-2))\/m)\/m*m))**(-14) assuming m is positive.\nAnswer: m**115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5296931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2699?\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/13 + 76816*x\/13 - 3152818\/13 = 0.\nAnswer: -38449, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000036782 to 7 dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*d + 3 = 0, 0 = -l - 2*d + 3 - 4. Let t be 0 - (-2 + l\/2). Let j = 1.5 - -3.5. Which is the closest to 0.1? (a) j (b) 3\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3005832709 and 0.04.\nAnswer: 3005832709.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 4*g - g)*(-g - 2 + 2) + 2*g**2 + 2*g**2 - 3*g**2 + (4*g - g - g)*(2*g + g - 5*g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 10*m + 25. Let a be k(-6). Let t be (-1)\/((-5)\/15)*a. Suppose 5*d - 4*d - 25 = t*l, -4*d - 3*l = -160. Is d a prime number?\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 696?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 8*a + 29. Let k be d(4). Let y(b) = -6*b - 3*b**2 + k*b**2 - 4*b**2 + 0*b - 5*b**2. Suppose -4 = 2*r - 6*r, -p - 4*r + 11 = 0. What is y(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 times -377\nAnswer: 7540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-8 - -2) + (-14 - (-29 + 6))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -101111?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 187 = 2*z - 28, 4*d = z - 112. Calculate the greatest common factor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 3 - 3)*(j - 9*j + 0*j) - 3*j**2 - 14*j**2 + 2*j**2 in the form n*j + m*j**2 + i and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 216564 - 1?\nAnswer: 216563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**9\/1512 - r**6\/120 + r**3\/3 - r. Let i(u) be the second derivative of j(u). What is the third derivative of i(m) wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21317353.\nAnswer: 1699, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 9*i**3 - 292043112*i**2 + 2369143965865605*i - 1579429180780134 = 0?\nAnswer: 2\/3, 16224617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20441879191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - 2*k**2 + 4*k**2 + 2*k**2 + 3*k**2 - 6*k**2 + (0 + 0 - 2*k)*(-k + 0*k - k) - 5*k + 5*k - 2*k**2 - 4*k**2 + 4*k**2 + k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**5\/4 - 13563*v**4\/4 - 22888897*v**3\/2 + 716094521*v**2\/2 + 45777795*v\/4 - 1432175479\/4 = 0.\nAnswer: -6797, -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*d - g - 0*g, 0 = -d - 3*g. Suppose 33 - 111 = -13*z. List the prime factors of 3 + 69 + -1*(d + z).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -937*j**2 - 111*j**2 - 13*j - 35 + 12*j + 36.\nAnswer: -1048*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 1. Let k = -2\/46525 - -846771\/372200. Let t = k - 15\/8. Which is the nearest to 0? (a) -3 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231*0.5\nAnswer: 115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2225.9 or 0.1?\nAnswer: -2225.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2397)\/221 + 10 + (-2)\/(-2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Suppose 9*l - 4*l = m. What is the second derivative of -3*w**4 - 4 + 3 - 4*w + l wrt w?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 64*s - 4737. Determine j(44).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 189311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*h - 21*h**2 + 9*h**2 + 17*h**2 - 625*h.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -532 (base 6) to base 4.\nAnswer: -3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.124 - 1.124. Suppose -8 = -5*y - 8*t + 11*t, 0 = y - 3*t + 8. Which is the closest to -8? (a) 1 (b) g (c) -0.4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 f when four letters picked without replacement from fvffvvfvff.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 111488953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*g + 2769*g**2 + 910 + 0*g - 2*g + 8*g + 3298 wrt g.\nAnswer: 5538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(459\/884))\/((-50)\/(-20)*4\/(-5))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in 0.77, 6\/5, -2\/5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1*(-18)\/(-56))\/((-21)\/56).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1339844536 by -3701228.\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 127. Let q = 22 - u. Let o = 17.999962 + q. What is o rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2250.96 + 28223546\nAnswer: 28225796.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.28 and 0.02891.\nAnswer: -0.0080948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2*d - 23 = 0, 0 = -4703*d + 4720*d - 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 29*j**3 - 12*j**2 - 5*j - 4. Let v be b(-11). What is v rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48625 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1302 divided by -93.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 0*f + 4 - f. Calculate the remainder when o(-10) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 4:42 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2202 rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 14 = -7*g. Suppose 4*q - g*z = 222, 6*q - 2*z - 57 = 5*q. Calculate the smallest common multiple of q and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*t + 4*d - 3, d + 1 = 0. Suppose 256 = -w + t*w. Let v = w - 83. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 33395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/4 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - a - 1. Let o(s) = -8*s**2 + 3*s + 3. Let b(d) = -3*n(d) - o(d). Let r(g) = -20*g + 2*g - 7*g. What is r(b(z))?\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33699 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 89*-1*(14 - 23). Suppose 99*i = 102*i - r. Is i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248017 and 29326?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 179, 5 in ascending order.\nAnswer: -3, 5, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/33)*d**(2\/45))\/(d**(-12)\/(d\/(d*d*d**20*d))) assuming d is positive.\nAnswer: d**(-4958\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1020.87353 + 6.74655.\nAnswer: 1027.62008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -18300 at most -18370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-1*(-4 + 45\/6). Let y(j) = -2*j**2 - 14*j + 2. Let q be y(a). Solve 3*w = 4*r - 6, -5*r - w + 0*w = q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4610, 5, -5 in descending order.\nAnswer: 4610, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 17 + 2 - i. Let h = 166 + -173. Does 6 divide l(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -419*d + 156. Let g(q) = 2*q + 2. Let p(i) = a(i) - 4*g(i). Is p(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 w when four letters picked without replacement from {w: 8, r: 2, e: 5}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1686208369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4718 - -4787. What is the remainder when 766 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x + 23. Calculate r(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 65*w - 10. Is q(5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + 5*f**4 - 2*f**4)*(3*f - 3*f - 4*f) - 4*f**5 + f**5 + 5*f**5.\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292187053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10927*j - 51. Let y be v(13). Round y to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 14. Let g be a(5). What are the prime factors of (-10)\/g*36\/(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/140 - (-2)\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 84685 = -187315. Round m to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c - 62. Let k(p) = p - 1. What is 3*k(x) - y(x)?\nAnswer: -3*x + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - o - 17, 0 = 2*k - 2*o - 278 + 268 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 + 25*o - 7. Let f(q) = -3*q**2 - 17*q + 5. Let g(a) = -7*f(a) - 5*p(a). Let n(i) = i - 3. Let b be n(3). Let v = b - -5. Determine g(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3.8 (b) -0.026 (c) 0.1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-435)\/(-580)*3\/(9\/(-60)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 6 + 10 - 10*g**3 - 2*g**2 + g**3 + 6.\nAnswer: -9*g**3 - 2*g**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157 and 17741.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 15*n + 147 = 0. Suppose n = 5*i + 11. Suppose 2*f - 13 = 4*b + 1, -3*f + 21 = i*b. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(11\/2))\/s)**(-3\/2)*(s\/(s\/(s\/(((s**(-6\/13)*s)\/s)\/s)))*s)\/(s**1\/s) assuming s is positive.\nAnswer: s**(609\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 17*i + 62 - 7*i - 6*i. What is the units digit of b(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*i = -50, -7*i + 3*i - 4 = 0. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + p = -4. Let f(u) = u**3 - 2*u - 2*u + 4*u**2 - 1 - 2 - p. List the prime factors of f(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(4*c - 5*c + 2*c) - 1 + 1 + 4*c to the form j + k*c and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 206*b + 44 - 206*b - 2*b**2 as j + a*b**2 + o*b and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**2*m**3*w**3 + b**2*m**2 - 2*b**2*w**2 - 99*b*m**3*w**3 - b*w**2 + 3*m**3 wrt w.\nAnswer: 6*b**2*m**3 - 594*b*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 61. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3157444 and 4.\nAnswer: 3157444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 - (-1 + 5 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 - -69.9. Let j = w + 4.1. Let i = 0.3 - 0. Which is the closest to j? (a) i (b) -1\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 1791284?\nAnswer: 30451828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 259554 a multiple of 478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1013*c**2 + 2*c - 1569.\nAnswer: 2026*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-125)\/15*-3. Suppose 0 = d - 1, 4*n - 3*n + 4*d = y. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**(-4\/5))*a\/(a\/(a**(4\/3)*a)) assuming a is positive.\nAnswer: a**(47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.78454 minus -0.4?\nAnswer: 3.18454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Suppose s*y + 4*r - 1 = 1, 5*r + 15 = 5*y. Suppose -2*d + o = -1, -4*d = -y*d + 5*o - 31. Solve -2*m + d = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/15)\/(3*(-4)\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7714*g - 10. Let h(f) = 2575*f - 4. Calculate -3*b(c) + 8*h(c).\nAnswer: -2542*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m**2 - 9*m - 9. Let s(c) = -2*c**2 - 2*c - 2. Let z be (-78)\/(-9) - 4\/(-12). Give z*s(r) - 2*n(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 j when four letters picked without replacement from {j: 4, q: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 430320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001781908 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7107*t**2 - 7106*t + 1.\nAnswer: -(t + 1)*(7107*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -316428+1801\nAnswer: -314627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 50*t - 38. What is m(8)?\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (-34 - (-32 - -47)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - -47. Suppose 0 = -10*k - i + 123. Let s(l) = -2*l + 1. Let p be s(-2). Sort p, 4, k in ascending order.\nAnswer: 4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59.2 in 2\/15, -0.5, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**3 - 4*v**2 + 2*v + 2. Calculate o(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -12265, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(2\/25)\/p))**29*(p\/p**(-1\/35))\/p*p**0 assuming p is positive.\nAnswer: p**(14824\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/192 and -139\/528.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - 91*l + 337. Let o be a(26). Suppose 2*g + 4 = -2*y - g, -6 = 3*y - 3*g. Put y, o, 10, 4 in decreasing order.\nAnswer: 10, 4, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 5, -92, -2, -3.\nAnswer: -92, -3, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -18*p**3 - 2*p**2 - 2*p + 2. What is t(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 137353000 to the nearest 1000000.\nAnswer: 137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.808 - -12.208. Let h = -6 + 5.6. Suppose -3*d - 2*d + 30 = 0. What is the biggest value in h, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -868*r + 218 - 162*r + 1005*r + 4308*r + 68. Is w(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -1444349208911.\nAnswer: -1444349208911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1644*t**2. Let d(x) = -4*x. Calculate p(d(j)).\nAnswer: 26304*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*u - 3029*p + 3024*p, 2*p - 12 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 821442452 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z - z)*(-1492 + 14*z + 1492 + (-3 + 3 + 6)*(z + z + 0*z)).\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 23. Suppose x*m - 81 = -0. Let c = m - 24. Solve -w + 2*l = -l - 1, c*w + 7 = -l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.5. What is the smallest value in 1\/2, n, 2\/13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -473 (base 8) to base 15.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2670 by 1.\nAnswer: -2670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 14*w**5\/15 - w**4\/24 - w**3\/3 - 2*w**2. Let v be h(2). What is the greatest common divisor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*o**2*t**4 - 39*o**2*t**3 + 9185*o**2*t**2 wrt t?\nAnswer: 168*o**2*t - 234*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 4. Suppose 4*x - 9 = 2*g - g, -5*x = -d. Suppose 0 = 6*v - g*v - 96. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39036 - -39110. Calculate the highest common factor of h and 9694.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 9:31 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 18*a**2 - 24)*(-4*a**3 + 0*a**3 + 2*a**3) + a**4 + a**5 + a**4 - 2*a**5 + 56*a**4 - 5*a**5 - 56*a**4.\nAnswer: -42*a**5 + 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = g - 1, -102 + 95 = -4*g + 3*j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - r + 21. Let n be o(0). Let m be (n\/(-6) + 3)*-10. Suppose -g - m = -0*g. Sort -2, -4, g in ascending order.\nAnswer: g, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 7:33 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7788 is divided by 519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -11*q. Let m(v) = -180*v - 4049. Give m(w(r)).\nAnswer: 1980*r - 4049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1196 = -h + 14*h. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/4, 0.4, -21348, -5.\nAnswer: -21348, -5, 0.2, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4032 = -28*c - 4004 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 681915 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, 1, -1, 58 in decreasing order.\nAnswer: 58, 12, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51164 rounded to the nearest 1000?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 879790 and 28.\nAnswer: 12317060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*p - p = 330, 5*p - 285 = -4*w. Let m = -65 + w. Solve 4*y + 0*y = 5*g + 3, m = 2*g + 3*y + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 1. Let h be w(-2). Suppose 0 = -3*u - 3, -h*d = -d + 2*u - 282. Calculate the common denominator of 97\/8 and (6\/30)\/(2\/d).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.119817ug to nanograms.\nAnswer: 3119.817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.77 + -0.47. Let f = r - 1.31. Which is the nearest to f? (a) 1 (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14 - 1200\/72) + (-52)\/(-60))*4.\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(9\/(-12)*2*2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -3848?\nAnswer: 1\/1924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -259 - -162. Let k = 101 + i. Calculate the greatest common divisor of 68 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16722783.\nAnswer: 3, 7, 11, 59, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kshkkekhffkkehskekf. Give prob of sequence sek.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 greater than or equal to 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-176)*84\/(-56).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50.34 - -21.66. What is the closest to 2\/3 in 5, l, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y - 7. Let q(g) = 0 + g**3 - 2*g**2 + 0*g**3 - g - 1. Let i be q(3). What is t(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjpzzbzbvb. Give prob of picking 1 p and 1 v.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 12:27 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 426.18 + -297. What is a rounded to 0 dps?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 654298 and 7851576?\nAnswer: 7851576","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 55271, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 3*v. Calculate the remainder when r(4) is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 1\/12463053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 5*x**2 + 0*x**2 - 4*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*w = -8074*w - 3278*w + 1522112 for w.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92796288 to the nearest integer?\nAnswer: 9633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 84.01 + -558028\nAnswer: -557943.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2590, -5182, -7774?\nAnswer: -10366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4165591741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 104? (a) -2\/3 (b) 0.2 (c) 158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1944250284.\nAnswer: 2, 3, 809, 200273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5544 and 4719?\nAnswer: 792792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292420959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 4. Let w = -7.5 + t. Let b = 1221\/8 + -153. What is the second biggest value in 13, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*x = -5, -335*x = -3*u - 339*x - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 10:01 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/36192696 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 7*p - 9. Let a be y(2). Suppose 3*v + a = 2*v. Is -1 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryoyr. Give prob of picking 1 r and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206648*b**2 + 206648*b**2 + 4*b**3 - 4*b**4 - 6*b to n*b**3 + z*b + i*b**4 + f + x*b**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 16980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(3\/18)\/((-13)\/117).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dotm when four letters picked without replacement from {m: 1, o: 3, e: 1, l: 2, t: 2, d: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1676364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38651.4558685 and -0.17?\nAnswer: 38651.2858685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 707, 2907, 6573, 11705, 18303, 26367, 35897?\n\"Answer: 733*k**2 + k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 421 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**4\/12 - 5*j**3\/6 + 5*j**2\/2 + j. Let h(y) be the first derivative of q(y). Give h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 67*o**2. Let m(g) = -3*g. Calculate m(u(s)).\nAnswer: -201*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*((sqrt(1088) - (1 + sqrt(1088) + -4) - (2*sqrt(1088) + -4)) + -3 + (sqrt(1088) - (-1 + sqrt(1088))*2)))**2.\nAnswer: -13824*sqrt(17) + 471744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/8*(-2)\/(6\/((-96)\/(-4)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 3204239.\nAnswer: -26\/3204239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11852, -11870, -11890, -11912, -11936, -11962, -11990?\n\"Answer: -i**2 - 15*i - 11836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q = -4*g + 2, -4*q + 2*g = -14. Let j(f) be the second derivative of f**3 + 4*f**2 - 35*f. Is j(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 306065 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iipvvpppiip. Give prob of sequence vi.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**2 + 82*d + 3836. Calculate l(48).\nAnswer: -1444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 + (-3)\/(-6). Let v(w) = w**3 + 25*w**2 - 24*w + 48. Let s be v(-26). Which is the closest to r? (a) s (b) 2\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 458 + -240. What are the prime factors of g?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 - 5*w - 4*w**3 + 3*w**3 + 10*w to c*w**3 + g*w + t + l*w**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62248.35 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000507078 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -92, -144, -196?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-89)\/((-5073)\/2698) - 47)\/(1 - 110\/111)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3173 - 95. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180345.\nAnswer: 5, 236069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.66 - -1.34. Which is the biggest value? (a) -0.2 (b) r (c) -43 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13861 divided by -1.\nAnswer: -13861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -132?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/306)\/(4\/(-8))?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 9*d - 15. Let p be n(6). Suppose 4*v + a + 2 = 13, -2*v + p = a. Differentiate 6 + 3*f + 5*f - v*f with respect to f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(931) + -1 + sqrt(931) + 5 - (-6*(sqrt(2299) + sqrt(2299) + 1 + sqrt(2299)))**2).\nAnswer: -744908 - 2362*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3519730?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -11020?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 22\/10846815 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 166, 222, 278?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-6 + 6) - ((-9 - -3) + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - 4 = 0. Let h = k + 2. Factor 14*v**3 - 10*v**4 + 2*v**4 - h*v**4 + 3*v**5 - 6*v**2 + v**3.\nAnswer: 3*v**2*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 + 0*o**2 - o**2)*(-5 + 2 + 4) + 0 + 0 - 2*o**2 - 1860*o**2 + 590*o**2 - 356*o**2 as m*o**2 + x*o + a and give m.\nAnswer: -1627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + 3*x + 3*x + (3*x - 3*x - x)*(-1 + 0 - 1)*(-9 - 5 + 0) to the form z + v*x and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -473.18 + 0.1?\nAnswer: -473.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*((5 + sqrt(272) + 2)**2 - sqrt(272)) + 5.\nAnswer: -1279 - 208*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6 - (-2)\/3)\/1. Let n = -90 - -100. Suppose 10*u - 15*u + n = y. Solve 0 = -u*t - 0*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(16\/4) + 2 - -129. What is q rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25854 - -20249. Which is bigger: -5607 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from qdqd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -3. Suppose -q - 139 = -x*g - 3*q, 4*g = -q + 177. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0219 and 69.\nAnswer: -1.5111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, -2212, 2\/17, -1\/36.\nAnswer: -2212, -11, -1\/36, 2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352686337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 57887136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 11*b - 26. Let v = 116 + -120. Let p be h(v). Suppose 4*w = 4*y + y + 455, -p*w + 230 = -2*y. Is 40 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbmp when four letters picked without replacement from {k: 7, q: 2, p: 2, b: 2, m: 7}.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*p + 0*p = 170, 4*n = 2*p + 142. Let f = n - 13. What is the lowest common multiple of 24 and f?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hggllglg. Give prob of picking 2 g.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 1\/4 (c) 0.02 (d) -41\/5 (e) -4\/15 (f) 5 (g) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b - 41*b**3 + 15*b**3 - 4*b**2 + 11*b**3 + 2*b + 14*b**3.\nAnswer: -b*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 267 - 267. Let h(r) be the third derivative of 0*r**5 + 0*r + 1\/2*r**3 - 5*r**2 + 0*r**4 + a + 1\/60*r**6. What is the derivative of h(u) wrt u?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 4*h. Let v be n(3). Let t(l) = 2*l - 3. Let f be t(v). Suppose 32 = f*r - 10. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1498341, -5993373, -13485087, -23973477, -37458537, -53940261, -73418643?\nAnswer: -95893677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-1 - -3) - (1 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + t - 1. Suppose 3*o = 4*z - 91, -98 = -4*z - 5*o + 17. Let b(h) = -30*h**2 - 25*h + 20. Determine z*x(s) + b(s).\nAnswer: -5*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 9 - 15 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 + (-40)\/(-18). Let y(i) = -i**2 - 10*i - 11. Let f be y(-9). Let p be f\/(-6)*27\/3. Solve -1 = z*b - p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**6\/40 + p**4\/12 + p**2 - 2. Let d(t) be the second derivative of f(t). Find the second derivative of d(q) wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxcmkcmjcmmfj. What is prob of sequence xfjk?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/sqrt(9) + -1 + (sqrt(2205))**2.\nAnswer: sqrt(5) + 2204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n + 5*n**2 + 3494*n**4 + 2*n**3 + 8*n + 0*n**2 - 3477*n**4 as r*n**2 + z + i*n**4 + y*n**3 + f*n and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 - 5*l - 16. Let h(a) = 4*a**2 - 6*a - 17. Let v(p) = 4*h(p) - 3*y(p). Calculate v(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37998, -75981, -113960, -151935, -189906, -227873, -265836?\nAnswer: -303795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3442723 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -34. Let f = 1291 + -1184. What is the remainder when f is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1024 and 4672?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqq when three letters picked without replacement from {p: 3, q: 7, t: 1, s: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**5 - 2*l**5 + 4*l**5 + (-2*l**2 + l**2 - l**2)*(-3*l**3 - l**3 + 3*l**3).\nAnswer: 8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-222)\/(-21) - (-32)\/(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3092.4 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 3*s + 5. Let q(g) = g. Let u(d) = 9*d - 2. Determine s*u(p) - 6*q(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 120140900 a multiple of 2420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.449 + -1.169. What is a rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 - 101. What is the remainder when 1 + 4 + w - -44 is divided by (2\/(-4))\/((-5)\/120)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l - 2*l)*(0 + 0 - 2*l**2) + (5 + 2*l - 5)*(3*l**2 - 3*l**2 + l**2).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*n*v**2 + 27*c*n*x + 473918*c*n + 3*c*v**2 - 6*c*v*x + 2*v**2*x - 5213*v*x - 11 wrt n?\nAnswer: -c*v**2 + 27*c*x + 473918*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqv when three letters picked without replacement from vqvsvvsvss.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 5*o**2 - o + 3. Let n = -41 + 35. Let d = -13 - n. Let i be c(d). Calculate the greatest common factor of i and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -137*f + 150*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 48. Let u(g) = g**2 - g + 1. Let d = -10 - -15. Let o(n) = 4*n**2 - d*n - n**2 - 2*n**2 + 6*n**2 + 5. What is x*u(j) + o(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -24200000 to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**4\/4 + 2*m**3\/3 - m**2 - 2*m - 26. What is c(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15a (base 11) to base 16\nAnswer: -ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27674 is divided by 317?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/2 - 21*b**4\/2 - 113*b**3\/2 - 223*b**2\/2 - 93*b - 28.\nAnswer: -(b + 1)**3*(b + 4)*(b + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g. Let c be ((-20)\/7)\/((-1)\/7). Suppose 0 = 4*b - 0*b - 4*v - c, -2*b - 5*v = 11. Let d(k) = 3*k + b*k - 3*k. Determine z(d(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -113*d**6\/30 + 3*d**4\/4 - d**3\/2 - 411*d**2. What is the second derivative of v(k) wrt k?\nAnswer: -2712*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 835500 and 2.\nAnswer: 835500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -0.19517\nAnswer: 0.0039034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12932 is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212 + 32110222330?\nAnswer: 32110230202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -1076123.\nAnswer: -1076122.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(-115) + (-68)\/(-10) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*z - 0 + 16, -2*z = 5*i - 26. Suppose -14 = -2*x + 3*p, -i*x + 5*p - 7 = -37. What is the least common multiple of 9 and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010222100 - -202?\nAnswer: -1010221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4507 - -9.4507. Let j = 2.8 - -2.2. Sort j, 18, w in descending order.\nAnswer: 18, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9004 + 893. Let a = 1711 + t. Round a to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-3) - ((-12)\/(-9) - 1). What is the closest to 0 in 1, x, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 9*a**2 + 3*a + 8. Calculate d(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -1\/8 (c) 4 (d) -1.888\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, m: 1, i: 4, f: 9}. What is prob of picking 2 i and 1 f?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4243 - -3422333?\nAnswer: 3432131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 1, -3, 6 in increasing order.\nAnswer: -3, 1, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 5, 3\/8, 7\/6, -3, 77\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.236 - 4536721?\nAnswer: -4536720.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0323361 hours to milliseconds.\nAnswer: 116409.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 0.06. Which is the closest to -2? (a) -2\/11 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -0*s - 10*s + 5*u, -5*s = 5*u + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 - 5*k**2 + 0*k**2 - 2*k**2 + k**2 + 2*k**2 + (1 + 2 - 5)*(2 - 2*k**2 - 2) + 3*k**2 + 12*k**2 + 7*k**2.\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174528914 and 22078.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6709 = -4*s + j, 3*s - 5*j - 5019 = -0*j. Does 114 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -568253, -568227, -568187, -568127, -568041, -567923, -567767?\nAnswer: -567567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13.6*29271\nAnswer: -398085.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33.44 - -0.44. Let g = i - -31. What is the nearest to 0 in g, -4, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/3)\/(2\/24). What is the units digit of (48\/u)\/((-4)\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 - (5 + -9 + 10)) + (6 - 4)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t - 7. Let w be x(-9). Suppose 5*z + 5*h = w, -2*z + 6 = -z + 3*h. Suppose -z*d = 2*a - 58, -d + 3*d - 52 = 2*a. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*u = -287. Suppose -239 + u = -o. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let b(p) be the third derivative of -p**5\/20 - 11*p**2. Give v(b(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4021 - 4011. Solve 18*i + 112 = -n*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/2 - 363*y**4\/2 + 16379*y**3 + 16926*y**2 - 33124*y = 0. Calculate y.\nAnswer: -2, 0, 1, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 4*m**2 - 2*m**3 + (-3 + 3 - 2)*(-2*m**3 - m**3 + 5*m**3) - m**3 + 0*m**3 + 4*m**3 + (24*m + 122 - 122)*(3*m**2 - 2*m**2 - 2*m**2).\nAnswer: -27*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 26*v**2 - v + 12. Let s be w(13). What is the units digit of 45*s*(-6 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 37. Let p = 38 + b. What are the prime factors of ((-25)\/75)\/(p\/96 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4430.935s in microseconds?\nAnswer: 4430935000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160685109 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8018 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.7 - -30.9. What is the second biggest value in 3.1, l, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13*p + 42. Let r be q(-3). Suppose -4*h + r*n - 15 = 0, -h + 6*n + 10 = 8*n. Solve g - 7*g + 6 = h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z = 63. What are the prime factors of 2855\/35 - 9\/z?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -21*c**2 + 2*c**2 + 1 + 0*c**2. Determine k(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {t: 1, y: 1, j: 9, x: 5, w: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 411*s**3 - 443*s**2 + 8*s. Let r(c) = -1646*c**3 + 1773*c**2 - 30*c. Let k(o) = -4*r(o) - 15*t(o). What is the third derivative of k(a) wrt a?\nAnswer: 2514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, e: 2, i: 4, p: 4}. Give prob of picking 1 u and 1 p.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14213, 28029, 41845, 55661?\nAnswer: 69477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2064762 to the nearest integer?\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1174.79987 and -2?\nAnswer: 2349.59974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2418 - -2452. Solve 0 = -b*r + 35*r - 5*l - 1, -4*r - 14 = -2*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 6:12 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**2\/8 - 70017*y\/8 + 210267 = 0?\nAnswer: -23363, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -1. Let c be 4\/(-6)*9\/y. Suppose c*w + 2*w - 28 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + b + 10. Let i(z) = -4*z**2 - 8. Give -6*i(l) - 5*s(l).\nAnswer: 9*l**2 - 5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9134 - 22*f - 9134. Let p(j) = 122*j. Give c(p(o)).\nAnswer: -2684*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11737*u. Let b(g) = 2*g**2. Give x(b(r)).\nAnswer: -23474*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbdwdbwbw. Give prob of picking 1 b and 1 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 divided by 316132?\nAnswer: -73\/316132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from jkqkkkjkjjjjq?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w**2 + 9*w - 18. Let p(h) = -h**2 + h. Suppose -117 = -2*m + 23. Let z = 52 - m. Let i(u) = z*p(u) + 2*b(u). Differentiate i(s) with respect to s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 0*g - g**4 + 1\/2*g**2 + 0*g**3 - 2. Find the second derivative of t(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**5*p\/((p\/(p*p**(-8)*p*p))\/p)*(p*p**(-3)*p)\/p**(-6)*(p**(-1\/5)*p**(-2\/15))\/(p**2)**8 assuming p is positive.\nAnswer: p**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -280\/13 - 278\/13*z + 2\/13*z**2.\nAnswer: 2*(z - 140)*(z + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q = l + 32*q - 2, -4 = l + 5*q for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*-2*(-76)\/1178.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, w: 2}. What is prob of picking 1 t and 2 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -50, -3 in increasing order.\nAnswer: -50, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95679490 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and -0.113?\nAnswer: -2.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1))\/o**(-9) assuming o is positive.\nAnswer: o**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1738, -411644 in increasing order.\nAnswer: -411644, -1738, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 12:09 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87 + 87 + 63*z to the form s + q*z and give q.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694899490 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65068 is divided by 199?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 6:56 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -188 - -184. Let c be a\/10 + 3132\/580. Solve -27 = 5*g - 5*d + 8, 0 = -c*d + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 + 27 = 24*n + 36. What is the closest to 2 in n, 4, -2\/31, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 10204*l - 18*l**3 + 1300*l.\nAnswer: -20*l**3 + 11504*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikiieikmkeei. What is prob of picking 3 k and 1 e?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 185 = -7*n. Solve n*s - 3*l = 8*s + 15, s = -l + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10912857, -21825693, -32738529, -43651365?\nAnswer: -54564201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/13)*h)\/h)\/(h*h**(6\/7)))\/(h*h**(-3))**(-11) assuming h is positive.\nAnswer: h**(-2157\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144114 + -4?\nAnswer: -144123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - (3\/(108\/(-43156)) - 10\/45) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -943 - -1066. Suppose -w*h - 15 = -138*h. Sort 28, h, 5.\nAnswer: h, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-65296)\/(-120) - (-16)\/(-120) is divided by 271.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 20*u**2 + 55588*u - 277928. What is y(5)?\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 646844.282 to the nearest 100.\nAnswer: 646800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21556\/(-31416) + 3\/7 and -41\/10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/((-98)\/980).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10035 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -1.167. Let m = r + 0.102. What is m rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33006.713 rounded to the nearest 100?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (317\/(-1268))\/((-2)\/248)*1\/(-1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (50\/(-175))\/(-1*(2 - 1)). Let s be (-4)\/10 - 516\/35. Let p = s + 104\/7. What is the closest to 1\/6 in p, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40806?\nAnswer: 2, 3, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3380310 and 150165.\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 9:53 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/3 + 3 + (-8194)\/(-6). What is the highest common divisor of i and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -13897.\nAnswer: -29\/13897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 61053\nAnswer: -2\/61053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/19 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3563, 12743, 27547, 47975?\nAnswer: 74027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.148666 decades in years?\nAnswer: 41.48666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 4384?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33454 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**3\/3 + 23*j + 6. Determine l(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 3, g: 1, e: 2}. What is prob of picking 1 e, 1 g, and 1 z?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a - 25. Let g(k) = -2*k**2 + 5*k + 10. Let i(d) = -14*d + 3*d**2 - 21*d - 14 + 28*d. Let m(l) = -7*g(l) - 5*i(l). Give m(q(v)).\nAnswer: -9*v**2 - 150*v - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*v**2 - 324*v + 324*v to h*v + z*v**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -115*g - 51*g - 112*g + (-3 + 4 - 2)*(-4*g - g + 3*g).\nAnswer: -276*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 13*t - 5*t - 62 - 4*t**3 + 4*t**2 - 43 - 9*t**3. Let x(i) = -3*i**3 + i**2 + 2*i - 26. Let j(d) = -9*x(d) + 2*z(d). Does 4 divide j(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.93 + -14. Let a = 2.93 - m. Let g = a - 3.4. What is the nearest to 1 in -1\/3, 4, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 227, 516, 911, 1406, 1995, 2672?\nAnswer: 3431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 339562946 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 456\/760 - (-2702)\/(-70).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - k**2 - 9. Let o be b(0). Let w be (o - -46)\/((-3)\/(-3)). Find the second derivative of -4*d**4 + w*d - 7*d**4 - 40*d wrt d.\nAnswer: -132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 - -127. What is the least common multiple of 9 and s + 0 + -82 + 77?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49915 + 1b5?\nAnswer: -49720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -1542, -6\/11, -0.1, -5, 1\/5, 12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98806, 197607, 296408, 395209, 494010, 592811?\nAnswer: 691612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 - 379\/4. Let j(s) = s**3 + s**2 - 4. Let r be j(0). Put r, 1, a in decreasing order.\nAnswer: 1, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75607 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwhww. Give prob of picking 1 w and 1 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - (-24)\/(6 + 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 105 + 69 - 19)*(-2*k**4 + k**4 + 0*k**4).\nAnswer: -138*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12287636?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/17 + -21\/68. What is the second biggest value in n, 3, 11.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4904400 and 18636720?\nAnswer: 93183600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 + 76. Let m(t) be the third derivative of 1\/12*t**4 - 1\/10*t**5 + 2\/3*t**j - 4*t**2 + 0*t + 0. Suppose m(g) = 0. What is g?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932269448 to the power of 1\/3, to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 281 - -291. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10950 and 4465410.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*l**2)*(-1093*l - 6061*l**2 + 1093*l + 687*l**2)*(1 + 5 - 4).\nAnswer: 21496*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 45*s - 676. Calculate b(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3689 and -782.\nAnswer: 2907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3709 * -3850.3.\nAnswer: -14280762.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -0.2, 2\/3, -7867, 3, 2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 46. Solve -3*j + 5 - 12 = -2*r, -2*r + 17 = -g*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 - -7) + 0\/(-1). Let v = 1 + x. What is the remainder when v\/9 + 634\/18 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7746081 divided by -7746081?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672758 and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1)*u)**43\/(((u*u\/u**(1\/11)*u)\/u*u)\/(u*u*u\/u**(2\/7)*u)) assuming u is positive.\nAnswer: u**(9995\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 70 + 1677*r - 253 + 183 - 7204*r as i*r + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 10*o - 11. Let j be p(-11). Let b(u) = u**2 + u + 12. What is the remainder when 34 is divided by b(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1 + sqrt(684))*-2)**2 - 5*(0 + sqrt(684))*-5.\nAnswer: 126*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 198763 + 44?\nAnswer: 1987a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 23*b**2 + 25*b - 13. Suppose 3*j - 785*l + 787*l = 62, -3*j + 4*l = -92. Determine k(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*((-7)\/10 - (-4)\/20). What is the second derivative of 24*i**2 + 25*i**2 - 10*i**2 - 12*i - n wrt i?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i*x**3 + 14270*i*x + 4*i - 8*x**4 + 20826*x**2 - 7*x + 1 wrt x.\nAnswer: -24*i*x - 96*x**2 + 41652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315*35\/(-945)*(-27)\/(-15).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 4 - 3*n + 2*n**2 + 0*n. Let u be v(5). Let g = u + -13. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 2*q)*(1179 - 702 + 1768 + 1530).\nAnswer: 3775*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -167*r**3 - r**2 - 5*r - 4. Let l be v(-1). Let q = 178 - l. Suppose o + 8 = 3*o. What is the smallest common multiple of o and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 53*p**2\/2 - 53*p + 40. Is s(8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 39082 divided by -1\nAnswer: -39082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -210 + 3903.\nAnswer: 3693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.045*0.05\nAnswer: 0.00225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -84018a (base 11) in base 3?\nAnswer: -2112102222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24741475 by 11.\nAnswer: -2249225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 2306*l - 1329409.\nAnswer: -(l + 1153)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5754 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 5. Let t(m) = -4*m + 9. Let u = -284 - -278. Calculate u*t(w) + 11*z(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 322650021 to the power of 1\/4, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-18) - (-74)\/4. Let p = m - 4. Solve -9*y + 12 = -p*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9528 + -9497. Suppose 4*p + 0*p - 68 = 0. Calculate the remainder when j is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**3 - 2*s**2 - 3*s - 2. Is 4 a factor of r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 36*g + 288. Let i be b(-8). Suppose i = 89*q - 83*q. Which is greater: -5\/8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -22*v + 18. Determine z(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -58. Suppose l = -4*x - x. Let q = -4 - x. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -111202220?\nAnswer: 111202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 12 - 2*t + 2*t - 7*t - 3*t. Let c(f) = f - 1. Let j(h) = 12*c(h) + g(h). Let z(w) = 2*w. Determine z(j(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 460 + -737. Let r = 287 + w. Calculate the highest common factor of 25 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 0 - -3 - -21. Suppose l + 5*k = -l + 45, l + 2*k - d = 0. Let 2*f**4 - 5*f**5 + 4*f**5 - l + 20 = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 10*k + 10 - 261*k**2 + 48*k**2 + 211*k**2. Give r(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97931640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*q = -302, -4*k = -0*k + 2*q - 604. What is the remainder when k is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -4) + 5 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 31*p + 7 = -l, -5*l = -25 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2116 by 24.\nAnswer: -529\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {c: 5, w: 3, n: 1, t: 4}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 349400 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 6, 3.2803, -2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 862417?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from sggss?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -11\/12 (b) -48 (c) 853\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 + 5 + 16 - 107*h**2 - 72 + 49*h**2 as y*h + q + n*h**2 and give n.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 0*v**4 + 0*v + 0*v**6 + 9\/7*v**7 - 1 + 0*v**5 - 3*v**3 + 0*v**2. Find the third derivative of k(c) wrt c.\nAnswer: 1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5342091821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4693 and 25792?\nAnswer: 9310912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, -52, -301, -784, -1579?\nAnswer: -2764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(0 - 3 + 1)*(-2094 - 52*a**2 + 2094)*(-2*a - 4*a + 4*a) to the form p*a + w + t*a**2 + n*a**3 and give n.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -328 or -20\/7?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -2. Let c = v + 2. List the prime factors of (c + -2)*-6*1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.8 - -1. Let a = -0.8 - s. Let z = 15.000001 - a. What is z rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*28\/525*(1\/(-8))\/((-11)\/(-726))\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 155360552 (base 7) to base 3\nAnswer: 201211021111102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - 0 - -32) + (14 - -4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12\/17 - -41\/34. What is z in 1\/4*z**2 + 3\/4*z + g = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2245618, 4491309, 6737000, 8982691?\nAnswer: 11228382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 16 = -3*s - 4*f, -2*s = 2*f + 14. Let p be 8\/s - (-2)\/12*-2. Let x(r) = 5*r**2 + 2*r + 1. Determine x(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 31. Let x = 757 + -1202. What is the remainder when -4 + (-5)\/(25\/x) is divided by c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*b - 78 = 0, -3*o = -4*b + 53 - 7. Let q be (2 + -1)*12*1. Let t = q - o. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + l - 1. Let g(x) = 7*x**3 + 4*x**2 + 4*x + 4. Determine g(q) - 4*n(q).\nAnswer: 7*q**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -528.0567 - -0.0567. Let g = f + 528.1. Put g, -4\/59, -2\/13 in ascending order.\nAnswer: -2\/13, -4\/59, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 16. What is the highest common factor of 108 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 2*d**2 - 10*d - 3. Let k be j(-4). Suppose -3*c + 2*c - k*f + 143 = 0, c - 134 = 4*f. What is the hundreds digit of 0 + c + 3\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 10. Suppose 0 = 4*b - 7 + r. Solve x - 4 = b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 27. Suppose h*u - c = 2*c + 99, 3*u - 149 = 4*c. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 7*c**2 - 11*c + 28. Let v be s(6). Let z be (44\/(-6))\/(3\/18). Let y = 307\/7 + z. Is y at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-2)*(-6)\/(-24). Which is bigger: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s - 11 = 5*w, 0 = -s - 4*w - 8. Let j = -21 - -29. What is the greatest common factor of j and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 22*k**3 - k. Let p be b(1). Suppose -p - 9 = -5*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -373*f**3*g**2*m - 113*f**3*m**2 + 171*f**2*g**2*m**2 + 114*f**2*g**2*m wrt f?\nAnswer: -2238*g**2*m - 678*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26636, 106526, 239678, 426092, 665768?\nAnswer: 958706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*c + 4. Suppose 0 = -c*x - x + 120. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r - 2. Suppose -11*b = 11 + 11. Let h(f) = 0*f - f - 15*f + 1 - 11. Determine b*h(g) + 11*w(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/35*(30\/45)\/(1\/18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(4\/7)*m**(-2\/3)*m)\/(m**(-2\/3)*m**(1\/2))*(m**3*m**(2\/9)\/m)\/(m\/((m*((m*m**1)\/m*m)\/m)\/m))**(5\/12) assuming m is positive.\nAnswer: m**(397\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 247 - 251. Sort 4, -19, z in ascending order.\nAnswer: -19, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 31*x**2 + 3*x + 31. Let j(i) = i**3 - 15*i**2 + 2*i + 15. Let c(n) = -5*j(n) + 2*y(n). Is c(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4876563590 to the nearest integer?\nAnswer: 69832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, b: 3, t: 4}. Give prob of sequence tt.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05026 rounded to 3 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 94, 105, 130, 175, 246, 349?\n\"Answer: o**3 + o**2 + o + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69225 + -34?\nAnswer: 691b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from zhrzhcmzrrz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-2)*(-18)\/(-7992)*37?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 3, t: 1, p: 6, s: 1}. What is prob of picking 2 x and 1 t?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1410 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 + 0*g**2 - g**2)*(g - 2*g + 2*g) + (2*g**3 + 2*g - 2*g)*(2 + 1 - 5) + 0*g - 3*g**3 + 0*g as o*g + m*g**2 + y*g**3 + n and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**2\/2 - 6*k + 14. Determine n(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -237 - -608. Suppose 0 = 7*l - 0*l - c. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) 1\/12 (c) 1 (d) -1.1 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2250 + -2249.89905. Let g = 0.1 - z. Round g to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {s: 1, m: 1, r: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 74 + 192 = d, q = -2*d + 560. Suppose -2*h = 4*z - 86 - d, -2*z = -h - 178. What is the highest common factor of z and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(0*l + 0*l + 2*l) + 0 + 0 + l + ((-2 - 3 + 6)*(-2*l + 2 - 2) + 2 - 2 + 3*l)*(488 - 27 - 227) to the form r*l + d and give r.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f. Let b(g) be the third derivative of 31*g**5\/30 - 209*g**2. What is u(b(d))?\nAnswer: -310*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 + 0)\/(-315))\/((-4746)\/(-252) + -19)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 + 5 = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*3)\/sqrt(9) + sqrt(152)\/(-2*sqrt(8)) + 2 - (sqrt(76)*-3*-2)\/((sqrt(44)*-1)\/sqrt(11)).\nAnswer: 2 + 17*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(363)*5 - sqrt(363) - sqrt(363)) + 4*(sqrt(363) + 0) + 5)**2 + -3*sqrt(363)*5 + (sqrt(363) - (sqrt(363) + -3))*4 + -3.\nAnswer: -1045*sqrt(3) + 23266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0*v**2 + 5*v**2)*(-v**3 - v**3 + 4*v**3) - 2*v**5 - v**5 + 2*v**5 + 7*v**5 - 2*v**5 - v**5.\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -436.54024 rounded to 0 decimal places?\nAnswer: -437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) -3.814 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -57 - -20 - 27?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 205 + 95 = 0. Suppose 4*j + 5*o = 84, -o + 2*o = 4*j - a. Suppose 150 = 2*i - j. List the prime factors of i.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c - 4. Let d be m(7). Let a be (-9)\/(-15) - (-14)\/d. Let g(b) = -b**2 + b**3 + 4*b**a + 3 + 0*b**2 + 2*b. Give g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 23*i + n + 1427982 = 0, 0 = -4*i - 4*n + 1427972. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**6*l*l**(-5\/9)*l assuming l is positive.\nAnswer: l**(67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236317 divided by -264.\nAnswer: -236317\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (17088\/2670)\/((-7)\/((-70)\/(-4)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/5 and -31\/4095?\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -40554*h**2. Let l(k) = -2*k. Calculate l(p(u)).\nAnswer: 81108*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -5*d - 4*y, 7929*d - 7928*d + 2*y = 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1177, 3, 0.\nAnswer: -1177, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 90 - 1\/2*h**2 + 14*h. What is g(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffrrrfr. What is prob of sequence frrf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.0196?\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlzzzzlz. What is prob of sequence zzlz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - m)*(-5550 + 1584 - 3008) + (-4*m + 0*m + 5*m)*(-1 - 1 + 1) - 3*m + m + 4*m.\nAnswer: 6975*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2. Let x(w) = -6*w**2 + 61. Give x(a(j)).\nAnswer: -24*j**4 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602850.\nAnswer: 2, 5, 32057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9069 + 9103. Let y(v) = -25*v - 9. What is the remainder when y(-7) is divided by n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 64.19027 grams?\nAnswer: 0.06419027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npnpnnppncpncn. What is prob of picking 3 p?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/11 + 437400*g\/11 + 7873848\/11.\nAnswer: -2*(g - 218718)*(g + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1360041, -1360084, -1360157, -1360260, -1360393?\nAnswer: -1360556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.78 - -29. Let w = -1.72 + k. Let i = -0.35 - 0.05. Which is the smallest value? (a) 3 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -77*d**3 + d + 1. Let f be g(-1). Let w = -23 + 33. What is the remainder when (-396)\/(-14) - 22\/f is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-51))\/(((-6912)\/(-4080))\/(-36)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27548 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5152650 (base 9) in base 12?\nAnswer: b08060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {u: 1, v: 1, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 119141811 to the power of 1\/2, to the nearest integer?\nAnswer: 10915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 - 47*z + 23*z + 26*z + 3*z**3 - z**3 + 1 - 1 + (z**2 - 4*z**2 + z**2)*(2*z - 2 + 2) - 5*z**3 + z**3 + 2*z**3 + 0*z**3 - 2*z**3 + 0*z**3.\nAnswer: -6*z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 + 0 = 0. Let c(j) = j**3 - j - 1. Let h(d) = 3*d**3 + 6*d**2 + 5*d + 1. Let u(n) = a*h(n) - c(n). Determine z, given that u(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3565*i - 2762 + 2762 + (1 + 2 - 2)*(2*i - 5*i + 4*i) in the form a*i + s and give a.\nAnswer: -3564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-207 + 530 + 473)*(-5*m**2 + 2*m**2 + m**2).\nAnswer: -1592*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 38 = -5*o, 0 = -k - 0*k - o + 16. Calculate the least common multiple of 4 and 246\/21 + 6\/k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -f + 15 - 5, -22 = -w - 3*f. Let z(l) = -10*l + 57. Determine z(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*b = 21*b + 8760. Calculate the remainder when b is divided by 44.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 561, 2469, 5643, 10089, 15813?\n\"Answer: t**3 + 627*t**2 + 20*t - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 8.9 (b) -2\/9 (c) -18834 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(612) - -2*(0 + sqrt(612))).\nAnswer: 5 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63360 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2330*j - 2316*j - 80589 - 34246 = 1365*j for j.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-63)*-6)\/((-4)\/(-14)). Solve v - 1 = 2*v + u, -2*u + 2 = y*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + 0 + (5 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b - 1. Suppose 0 = -5*g - 2 + 17. Let f be y(g). Solve 14 = -3*a - a + l, 0 = 3*a - 4*l + f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131201131 - 32?\nAnswer: -131201223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 550? (a) -7\/4 (b) 2\/15 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*(-2*sqrt(76) + sqrt(76) - sqrt(76)))\/(-2*sqrt(256)*1).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 992*l + 61504.\nAnswer: 4*(l - 124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b - 51802274 + 51801644 = 0 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-10))\/((-9)\/45) + -103. Let q = 228 + j. What are the prime factors of q?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-35)\/28)*(-48)\/66\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5033.89 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = 2. Let g(x) = -2. Let o(h) = h - 3. Let b(s) = k*g(s) + 3*o(s). List the prime factors of b(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 12*w - 125.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3847777, -7695556, -11543333, -15391108, -19238881?\nAnswer: -23086652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1791669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.5 and 0.0221.\nAnswer: 0.09945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2550661.\nAnswer: 547, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 79737 * -2\nAnswer: -159474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqldslzldltldqlzl. Give prob of picking 1 d and 1 z.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -37, 4, 2, -103, 0.\nAnswer: -103, -37, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (703 + 57*b - 703)*(0*b + b - 3*b) + 4*b**2 + b**2 - 6*b**2 + 35*b**2 - 18*b**2 - 754*b**2 - 2*b - 8*b + 10*b as j*b**2 + s + i*b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v**4 - 80*v**3 - 122*v**2 - 28*v.\nAnswer: 2*v*(v - 7)*(v + 1)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1350*d**2*j**4 - 7*d**2*j**2 - 2*d**2*j - 12312*d**2 - 9007*d*j**5 - 2*d - j**2 + 2 wrt j?\nAnswer: -32400*d**2*j - 540420*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.6 times 4?\nAnswer: -110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 75 = -11*q + 14*q, -5*z = 15. What is the remainder when 87 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634231 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11000\/(-30))\/(1\/(-1260)). Round c to the nearest 10000.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 206712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 4, 20, -0.1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3597 - -25.2.\nAnswer: -3571.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/20 + g**4\/2 + g**3\/3 - 3*g**2 + 2*g. Suppose -4*n + 4 = -20. What is the units digit of o(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-180)\/120)\/((-6)\/16). Solve -b*d = -18*d + 42 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/7))**(-2\/17)\/((k*k*k*k*k\/(k*k**(-23))*k)\/(k\/k**3)) assuming k is positive.\nAnswer: k**(-3560\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 105313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -73*c**4\/24 + 7*c**3\/6 - 4*c**2. Let x be j(3). Let u = x + 333. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5903423941\/145336016 + 1626937\/49552. Let i = u - -4\/7961. Calculate the common denominator of -43\/2 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-5 - -6 - 6) + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9236275 is divided by 81?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 42\/29 (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2895 and 55\/114?\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5434994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 3*o**4\/2 - 3*o**2 - 5. Let u(f) = f**2. Determine u(t(a)).\nAnswer: 1296*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 3*y**2 - y - 4. Let v be c(-3). Let a(k) = 219 + 8*k - 219. Give a(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13600\/(-1190)*((-210)\/(-12))\/5.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 6*l. What is the remainder when (-21)\/2*4\/(-3) is divided by d(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1774 - -3476. What are the prime factors of v?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 72. Let v(j) = 18*j**3 - j**2 + 2*j - 1. Let z be v(1). What is the greatest common factor of z and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 228, 210, 174, 114?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -397116.30188 less than -0.7?\nAnswer: 397115.60188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 4*k**2 + 9*k - 9. Calculate t(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2971 or 1218?\nAnswer: 1218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41614 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -107*h**2 - 3*h - 11. Let j(c) = -35*c**2 + 1. What is -3*j(z) + o(z)?\nAnswer: -2*z**2 - 3*z - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3585563*b**2*v + 18*b**2 - 7*b - 3772 wrt v.\nAnswer: 3585563*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*d + 45*d - 4 = 0. Suppose -45 = -d*w - i, -2*i + 6*i + 18 = w. Calculate the remainder when 57 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114\/11 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1077 + 1083. What is the remainder when 261 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 8:15 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**2 - 2*w + 3. Let l(d) be the third derivative of d**5\/12 - d**4\/12 + d**3\/2 - 300*d**2. Give -4*i(o) + 5*l(o).\nAnswer: o**2 - 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -231 or -36832?\nAnswer: -36832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - d**2. Let l(s) = s**3 + 4*s**2 + s + 5. Let j be l(-4). Let q be o(j). Let p = -1 - -5. Sort q, -5, p in decreasing order.\nAnswer: p, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 48, 97, 166, 255?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 67912318 divided by -5\nAnswer: -67912318\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*m = -49*m + 1476 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29455726567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -14054?\nAnswer: 14055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*s**4 + 94*s**2 - 97*s**2 - 18*s**4 + 8*s to g*s + v*s**3 + z*s**4 + u + m*s**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9, 6, 4\/271, 39?\nAnswer: 4\/271","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -11*m**5\/20 + m**4\/12 + 17*m**3\/6 + 10*m. Let f(o) = 16*o**3 - 2*o**2 - 25*o. Let g(n) = 5*f(n) + 7*k(n). Factor g(b).\nAnswer: 3*b*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9 + (-11 - (-6 - -2))\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 33*o**4\/4 + 150*o. Let h(t) = 4*t**2. What is f(h(c))?\nAnswer: 1584*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 3:44 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1. Let u(b) = 9*b**3 + 2*b**2 - 5*b - 20. Let w(q) = 11*q**3 + 3*q**2 - 6*q - 23. Let y(f) = 6*u(f) - 5*w(f). What is -6*g(c) + y(c)?\nAnswer: -c**3 - 3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 11 = 4*l. Let a be (5\/10)\/((-2)\/(-12)). Suppose -x + a*v + 36 = 2*x, -3*x = v - 28. Calculate the remainder when l is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21401*p**6 - 2*p**5 - 2*p**3 + 198544*p**2 - 26*p wrt p?\nAnswer: 2568120*p**3 - 120*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*10\/10*7\/56.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156297 and 607494.\nAnswer: 2949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4443301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u - 2*u - 1 - 2*u. Let w(h) = 2*h - 2. Let a be (-3 - 1 - -3)*1. Calculate a*z(d) + w(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2 + 13 = 0. Suppose c*b - 3*b = -2, -2*p + 5*b + 135 = 0. What is the highest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 172 = -h - 2*h, -h = 2*k + 164. Let s = k + 772. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {v: 15, u: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(-4)\/(-8)*50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (11 - (9 + 5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4 - 1. What is the remainder when b is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3\/3 + 2286*k**2 - 6856*k\/3 = 0?\nAnswer: 0, 1, 3428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -328.\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555*w**3 - 2091256204*w + 2091256204*w.\nAnswer: -555*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3906 and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 x when three letters picked without replacement from {x: 2, h: 2, u: 8}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3))**(-12\/5)*(y**(-3)\/y)\/y**(-3) assuming y is positive.\nAnswer: y**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 35 = 13*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 392 + -392. Solve z + 5 = x, -3*z = -2*h - 0 + 23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*b**2*f**6 - b**2 + 10*b*f**3 + 1655636*b*f**2 + 9*f**3 wrt f?\nAnswer: -1200*b**2*f**3 + 60*b + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*n - 96, -3*d + 2*n - 3145 + 3081 = -0*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -141980*f + 74052 wrt f?\nAnswer: -141980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2407 + 3249. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -178, -358, -542, -730, -922, -1118, -1318?\n\"Answer: -2*u**2 - 174*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 51.41481 and -30.\nAnswer: 21.41481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -480\/11651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 134 + 346. Let m be (-4)\/7 - (-216)\/(-63). Let y be (-32)\/c - m\/6. Solve y*s + 4*o + 21 = s, 3*o = -3*s + 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = 2*k - 3144, 2*f + k + 6268 = 0. What is the remainder when (3\/(-2) + 3)\/((-24)\/f) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*2*1\/3. Let f be (-8)\/b*2\/52. Let g(l) = -l + 5. Let d be g(4). Which is smaller: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 26 = -d - 9, -3*v + d + 105 = 0. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/3 - 1135990*i**3\/3 + 107541333308*i**2 - 1075384554840*i + 2580901120800 = 0. Calculate i.\nAnswer: 4, 6, 567990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179\/2 - 91. What is the nearest to -0.06 in l, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*l - c = -15, -2*l - c = -11. Suppose -6 = 2*x - 3*d - 2, -16 = -l*d. Solve 0 = -x*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19\/75 - 2549\/300. Put 3, i, -0.17 in decreasing order.\nAnswer: 3, -0.17, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6397b (base 15) to base 3.\nAnswer: 121001111022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299 - 212. Let g = t + 298. What are the prime factors of g?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 + -4.1. What is the nearest to 0.1 in 5, a, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.3, -0.4, -53?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2. Let g(a) = -a**2. Let z(q) = q + 8. Let y be z(-7). Give y*c(n) + 9*g(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1696, -0.9 in ascending order.\nAnswer: -0.9, 0.5, 1696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 8. Suppose 5*w - a*j - 38 = w, 0 = -3*w - j + 38. Suppose -n = -w + 3. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-45) + 21\/(-5). Let a be (-2 - -210)\/1 + d. Let k = a - 138. Calculate the greatest common factor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11134904672 take away -5011?\nAnswer: 11134909683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297972755?\nAnswer: 5, 109, 546739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 0) + (-18 - -11) + -18\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 6*f**2 - 4*f + 11. Let s = -10 + 5. Let g be m(s). Suppose -g*n = -7*n + 8. Calculate the lowest common multiple of n and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 376.76682 * 38\nAnswer: 14317.13916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Suppose 0*d + r*d - 393 = -z, 0 = -d + 5*z + 89. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104805541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.48 + -9.98. Which is the third smallest value? (a) v (b) 3\/2 (c) 1.3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqwmq. What is prob of picking 2 w, 1 m, and 1 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**4\/48 + 739*g**3\/24 - 1230*g. Determine y, given that d(y) = 0.\nAnswer: -739, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b + 3*s - 276, 4*b - 2*s + 362 = 0. Let q = 46 - 82. Let t = q - b. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 637 and 3913?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 5)\/((-156)\/(-390))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1584) + (sqrt(1584)*-1)**2).\nAnswer: -9504 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*r - 12, -3*r + r = 5*c + 16. Let t = -19\/5 - c. Sort -5, -0.1, t, -0.3 in descending order.\nAnswer: t, -0.1, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -77\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 9. Let c be z(-5). Let a be (4 + -12)\/(-4) - (-4 + c). What is the closest to 0.1 in -0.05, a, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 99, 167, 237, 309?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1444*z + 797*z + 491*z.\nAnswer: -156*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 14, 30, 52, 80?\n\"Answer: 3*c**2 + c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*q**3*y**3 - 3*a*q**3 + 30408*a*q**2*y**3 + 2*a*q + 2*a*y**2 - 11*q**3*y**2 - 10*q**2*y**2 wrt y?\nAnswer: -6*a*q**3 + 182448*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -8*l**4 - 2692*l**3 - 12000*l**2 - 15956*l - 6640 = 0.\nAnswer: -332, -5\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*g + 7*g**2 + 47*g**3 + 12*g - 8*g**2 + 10*g + 4*g - 2 to the form n*g + o*g**3 + m*g**2 + x and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 1. Let v = r - -10. What is the lowest common multiple of 2\/6*(15 - 3) and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105511 - -181950. What is the ten thousands digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1918, 1965, 2026, 2107, 2214?\n\"Answer: q**3 + q**2 + 37*q + 1879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 658876771 to the nearest integer?\nAnswer: 25669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163901\/34 - 4821. Let h = s + -2\/17. Let n = -1.76 - 0.24. What is the closest to 0.1 in 0, n, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4727301 less than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 384787 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2468, 1962, 1122, -46, -1536, -3342, -5458, -7878?\nAnswer: -10596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 4*p**2 + p + 4. Let q be d(-4). Suppose 5*y + q*y - 15 = 0. Suppose -n + 117 = y*u + 26, -3*n - 3*u + 285 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/((-1)\/10). Suppose z*f + i = -2, 5*i = f + f - 10. Calculate the smallest common multiple of 4 and 2\/2 + (f - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 6663 (b) 1\/7 (c) -1 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + -0.04. Let p be -22 + 33 + -8 + (46\/(-28) - 0). Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6947700 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = u + t, 4*u = 8*u - 5*t - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/5 + -2 + 4. Suppose 4*s - 20 = n*s. What is the lowest common multiple of 11 and s?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 40 - 32 = 4*y, -3*k + 5*y + 60 = 0. Suppose -5 = -5*u + k. Calculate the least common multiple of 10 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 128? (a) 3 (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Let w = 42 + -34. What is the least common multiple of r and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(10\/9)*c*c*c*c**(-2\/111)\/c assuming c is positive.\nAnswer: c**(1696\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*d + 2840 = -59, -4 = -4*d. Suppose 23*y - y - h = 0. Calculate the greatest common factor of 44 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*p = -4*u + 183*p - 90, 24 = -2*u + p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 + 3 - 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(32))**2 + sqrt(7) + (sqrt(7) - (sqrt(7) + 3*sqrt(7) + -2)).\nAnswer: -2*sqrt(7) + 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4007\/41 or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 36. Solve -3*u + 14 = -6*u + f, x*f - 6 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 7. Let s be u(-12). Let w be (12\/(-120))\/((-2)\/84). Factor 17\/5*n**4 + 0 + 2\/5*n + 11\/5*n**2 + n**s + w*n**3.\nAnswer: n*(n + 1)**3*(5*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4223793221*q**3 - 4223793177*q**3 + 8447586400*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 2, e: 1, k: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14*g + 1. Let l be j(-5). Let p = 184556\/7 + -26295. Let h = p + l. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 390\/(-2730)*(-7)\/11\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1781 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 13, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2445?\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3273473*u**3 - 4*u**2 + 4*u**2 + 0*u**2 + 3273506*u**3.\nAnswer: 33*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -347982, 4, -1.\nAnswer: -347982, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 22 - 24. Let u be (-1)\/(-2*(-2)\/(-28)). Let t(i) = -u*i + 0*i + 3 - 2. Calculate t(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + -1 + (5 + sqrt(891))**2 + 5.\nAnswer: 91*sqrt(11) + 920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -100110010110110000110110 (base 2) to base 9\nAnswer: -20824420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3. Suppose -4*u + 12 = -p*u. Suppose -7*t + 16 = -3*t. Solve -g + u*s = -2*g - 2, 25 = -t*g + 5*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i. Let m(p) be the third derivative of -p**5\/12 - 10*p**2 - p. Determine m(a(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**3\/6 - 7*l. Let f(k) = -175*k - 65. Let p(j) = 7 - 31 - 8*j + 12 + 9. Let z(a) = 6*f(a) - 130*p(a). Give z(s(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s - 5*h + 122 = -57*s + 28*s, 0 = 29*s + h - 138 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -19*s**2 + 2*s - 504. Let c(a) = -a. What is b(c(h))?\nAnswer: -19*h**2 - 2*h - 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 173*j + 8720. What is the remainder when w(0) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -13*n + 17*n. Which is smaller: n or 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 4*m**4 + 3*m**3 + 0*m - 2*m**3 - 2 - 9*m**4 as y*m + l*m**3 + j*m**4 + d*m**2 + z and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + 0.04. Let b be 4\/(-6) - 0\/(-1). What is the second biggest value in j, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (14 - -1 - 10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3d (base 16) to base 12\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + 27*j + 2. Let d be m(-9). Find the third derivative of 0 + 226*h**d + 157*h**5 - 8 + 4 + 4 wrt h.\nAnswer: 9420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 128, 131, 136, 143, 152?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f + 3. Let a = -360 + 355. Let s(c) = -3*c + 4. Give a*l(u) + 4*s(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - f**2 - 2 + 4*f**2 - 4 as j + o*f**2 + n*f and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 11 = 4. Let u be 65\/(-6) + n\/42. Let g be 7\/21*(-6)\/u. What is the nearest to 2 in -1\/6, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 361669, 1446764, 3255253, 5787136?\n\"Answer: 361697*r**2 + 4*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + -2. Let z(v) be the third derivative of v**5\/60 + v**4\/8 - v**3\/6 - v**2. Calculate z(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -1\/6, -0.6, -3.\nAnswer: -3, -0.6, -6\/11, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41915670?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25449128 divided by 25449128.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 260 + -185. Let j be (13 + -11)\/(2\/10). Let g = c - j. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13346 - -13346.03. Which is the fifth smallest value? (a) 0.1 (b) -2\/3 (c) -3 (d) t (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011274 to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (6 - 3\/1). Let a = x + 6. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59410225*s + 29705123*s + 29705131*s.\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -34, 5 in decreasing order.\nAnswer: 5, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8271 + -6693. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 13*j - 23. Calculate the least common multiple of q(4) and 39.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:47 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 8400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -12376*x**2 + 4*x + 3. Let t(w) = 12375*w**2 - 3*w - 2. Let s(q) = 3*d(q) + 4*t(q). Is s(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -43*h - 37*h - 35*h + 110*h + 48. Give r(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i - 105. Let y(w) = w - 1. Let r(d) = -p(d) + 2*y(d). Is r(0) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = s - 4*f, -226 = -4*s - f - f. Calculate the least common multiple of s and 135.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 431 = 209. Is 40 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 7*w + 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**5\/7 - 34*g**4 - 3144*g**3\/7 - 2440*g**2\/7 + 832*g = 0.\nAnswer: -104, -14, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56930080 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04787 and -25.\nAnswer: -1.19675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -1\/2, -2\/5, -5 in ascending order.\nAnswer: -5, -1\/2, -2\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19301 or -19311?\nAnswer: -19301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 626 = 5116. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1 (b) -6 (c) -3 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-3 - (-57)\/21). Let s = 48.65 + -49. Let z = s - -5.35. Which is the closest to z? (a) y (b) 3 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 53 = -4*f + 59, -h = -2. Let s(n) be the third derivative of 0*n + 0*n**f + 0 - 6*n**2 - 1\/120*n**5 - 1\/24*n**4. Factor s(w).\nAnswer: -w*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*g + 749, 0 = 3*g - 2*d - d + 555. Let c = g - -193. Sort -1, c, -5, -160 in ascending order.\nAnswer: -160, -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-10))\/(64\/160).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-2 + 1\/1). Let v = -1035 + 1050. Let w(f) = -18*f**z + 0 + v*f**2 + 0. Let m(r) = r**2. What is m(w(g))?\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-30)*(4 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -3*h**5\/25 + 53*h**4\/10 - 1003*h**3\/15 + 578*h**2\/5 + 505. Factor o(s).\nAnswer: -s*(s - 17)**2*(3*s - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5845?\nAnswer: 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*h + 4220, 0 = -21*c + 25*c + 2*h - 4210. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -808 by -202.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10281259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l - 1 = -4*c, l + 2 = 3*c. Let j(u) = c - 2*u + u + 0*u. Suppose 19*s + 1086 = 1010. What is j(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9890?\nAnswer: 2, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4\/9 + 1510*s**3\/9 + 45032*s**2\/9 - 12978934*s\/9 + 719780 = 0. Calculate s.\nAnswer: -306, -145, 1\/2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 945 and 420.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - b = -36. Let a(p) = p**3 - 8*p**2 + 11*p + 8. Let j be a(b). Sort 22, -5, j, -2.\nAnswer: -5, -2, j, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 397, 3091, 10393, 24607, 48037, 82987, 131761?\nAnswer: 196663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240 and 1998?\nAnswer: 79920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5806631?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -407, -610, -813, -1016?\nAnswer: -1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + -1 + 0 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c - 3*c + 5*c - 11*c**2 to k*c + a + n*c**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48192742 divided by 2?\nAnswer: 24096371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06 and 43618579?\nAnswer: 43618579.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -5. Let t = 325\/6 - 54. Let l = 0 - 0.2. Sort t, l, n in descending order.\nAnswer: t, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*g**6 + 3*g**5 + 267*g**2.\nAnswer: -2160*g**3 + 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -53, -91, -129, -167?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -41.2. Let s = m - -19. What is s rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11961 is divided by 352.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1173*m + 1179*m = 0. Sort m, 855, 0.2 in decreasing order.\nAnswer: 855, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3562.89 - 3578. Let o = 15 + k. Let j = o + 0.1099948. Round j to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 + (-63)\/(-45)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079015 minus -2?\nAnswer: 1.920985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 5.8. Let g = t - 2. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:29 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 362200.1 rounded to the nearest one thousand?\nAnswer: 362000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3113013 (base 6) to base 7.\nAnswer: 1162302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37931 and 795638?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 12) in base 6?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 121436620.2ns?\nAnswer: 0.0000002007880625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 21*m - 19*m + 24, 4*m = r - 48 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*4\/220*22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 201 in 39, 6.9, -2, -5, 3, -0.1?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243092811.\nAnswer: 3, 13, 479473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*b + 7262 - 1752. Calculate the greatest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4262*t + 4218*t - 176 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 1 (b) 2 (c) 0.06 (d) -172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 13*i**2 + 45*i + 38. Let g be j(11). Let w = 1088 - g. What is the remainder when w is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 5*u + 9. What is the remainder when m(-6) is divided by -2*(0 + 3)\/(-10 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5498, -10980, -16462?\n\"Answer: -5482*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1377) + -2)*5)**2*-4.\nAnswer: -2209600 + 57600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from pffflfpfpbmpfmpf?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 1 - 1)*(-67*t + 40*t + 52*t)*(2*t - 2*t - 3*t).\nAnswer: 750*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 240247 to the power of 1\/2, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*n**5*z + 1881*n**3*z + 2*n**2*z + 6*n*z - 906*z wrt n.\nAnswer: -780*n**2*z + 11286*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 251105905 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x - 54*x - 24 = 0. Which is the smallest value? (a) 0 (b) -2 (c) 5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a decade?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*y**2 + 52 + 30*y - 51 + 5*y**4 + 106*y**2 in the form w*y**3 + c + t*y**2 + n*y**4 + f*y and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 19436 = 5*g, 5*g + 4861 = 4*t - 14575. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 + 22*g**2 + 24*g + 130. Let x(q) = -q**3 - 6*q**2 + 7*q + 10. What is the least common multiple of m(-10) and x(-7)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - 2.34. Let d = l - 16.7. Let s = -18.9999981 - d. Round s to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d - 32 = 0. Suppose -d*t + 9 = 681. Is t > -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (3 - 2 - (-14 - (15 + -3))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 765473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5388892 and 18251?\nAnswer: 5407143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -866*s + 1734*s - 868*s - 8*s**2. Let m(h) = 6*h**2. Give b(m(y)).\nAnswer: -288*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 2. Suppose 0 = 3*v + 15, -2*m + 4*v = -48 - 38. Suppose -j + 15 = -3*j + 3*b, 5*j = 3*b - m. What is l(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(303\/99 + -3). Let d be 42\/11 - 6\/t. Solve -v - d = -0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 - 3 = -27*n. Solve -n*x + 3*p + 12 = 0, 0 = x - 5*x - 5*p + 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 23. What is the biggest value in 0, -1\/8, z, 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2975*q**4 + 6295*q**3 - 1740*q**2 - 4660*q + 400 = 0?\nAnswer: -2, -1, 10\/119, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*x + 58723. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/(-144)*444\/15?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19787836.\nAnswer: 2, 251, 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(0 + 3\/(-6)). Suppose -x*p - 2*p + 3*q = -10, -3*p + 2*q + 8 = 0. Suppose p + 20 = 2*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -3*i. Let x(g) = 8*g**2 + g. Let r be x(i). Suppose 0 = 4*n - n - a - r, 3*n - 27 = -3*a. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 3. Let j(o) = -o**3 - o**2 + o. Let q(z) = -z + 2*z**2 - 3*z**2 + 3*z. Let i = 122 - 121. Give f*j(y) + i*q(y).\nAnswer: 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 - 2 - 2*a - 3*a**2 + 0*a - a**3 - a**4 + 5*a to the form l*a**3 + k*a + i*a**2 + r*a**4 + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 - 12*s. Let q be (2 + -6 + 2)*8. Let c(i) = -43*i - 17*i + 5*i**2 + 15*i**2. Let k(r) = q*m(r) + 3*c(r). Factor k(p).\nAnswer: -4*p*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, n: 3}. What is prob of sequence qn?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (1 + 10)) + -4 - (1 + -4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, 2\/11, -358, -24\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -5*z**2\/2 - 157*z + 15. What is the remainder when 91 is divided by w(-36)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmrrvrurm. What is prob of sequence vu?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*i + 2293200 = -34*i. Does 130 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h + 24261 = -5*t, 3*t - 24253 = -4*h. What are the prime factors of h?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 4. Let a be c(-6). Suppose a*g - 12 = 4. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 9:53 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 4*c**2 + 0*c**2)*(-1380 + 1380 + 110*c).\nAnswer: 220*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 7*x + 30. Let d be s(9). Suppose -d = -4*a + 24. Factor -81*n - 100*n**2 + 20*n - a + n.\nAnswer: -(10*n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - f - 5. Let v(j) = 2*j + 10. Let b be v(5). Suppose b*w = 25*w. Determine i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (741\/(-91) + 10)\/(-18*11\/(-1386))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 199 - 211 + 619 - 209. Let z(r) = 83*r**2 + 3. Determine z(v(t)).\nAnswer: 1328*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394 = -12*s - 34. Let r be 4\/s + (-86)\/(-30) + -1. Let o(p) = p**3 - p**2 - 4*p + 5. Let j be o(r). Sort -1, -5, 0, j in descending order.\nAnswer: j, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/(-33) - -1)*(-366)\/4. Put p, -3, -1 in descending order.\nAnswer: -1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12\/307, -172, -35\/2 in decreasing order.\nAnswer: 3, 12\/307, -35\/2, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + b - 125 = -146, -2*p - 67 - 119 = 5*b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -3*x - 7 + 2, 0 = -3*x + n + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*(-1 + 28\/20). Suppose -5*o = -s - 11. Suppose 3*m = 2*m - 4*f + 17, 3*f - 4 = m. Solve -z - z = m*i + 29, -5*z - 25 = o*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*o, 27*m + 25*m - o + 1 = 83*m - 27*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1780 and 18.\nAnswer: 16020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 79376238.\nAnswer: 79376238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130200233220 + -3?\nAnswer: -130200233223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1381, -2325, -2835, -2911, -2553, -1761, -535?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5522 = 4*x - 2802, 0 = 4*r - 16. List the prime factors of x.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333134?\nAnswer: 2, 166567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2736) - (5 + -1*sqrt(2736) - sqrt(2736))) + sqrt(2736))**2 - (-3 + (1*sqrt(304) + sqrt(19) - sqrt(19))**2))*2.\nAnswer: -960*sqrt(19) + 87000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790542?\nAnswer: 2, 3, 37, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5432365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3304*f**2 + 708*f + 1416. Let w(m) = -5*m**2 - m - 2. Let s(h) = 2*b(h) + 1416*w(h). Let u(g) = 6*g. Give s(u(n)).\nAnswer: -16992*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2)**(-1\/33))**11\/((s*s*s**(-2))**(-2\/5))**(-1\/37) assuming s is positive.\nAnswer: s**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6111027 and 45.\nAnswer: -274996215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d7 - -15?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-49)*(-75)\/(-15)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50602)\/30*10\/(-3570). Let w = y - 8\/765. Let g(n) = -2*n - 1. Let m be g(-3). Which is bigger: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b - j = -52, 5*j - 10 = 0. What is the remainder when 29 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h**2 + 50*h + 3. Determine c(6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -418 - -420.31. Let i = 2.69 + x. What is the nearest to 0.1 in i, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11365.\nAnswer: 5, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*z - 4185 - 427 + 562 = 0 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5180 and 2157988?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22260 and -0.11.\nAnswer: -2448.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6565?\nAnswer: 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y**2 + 3*y - 2. Let q be c(-3). Suppose 60 = 67*f - q*f. Calculate the least common multiple of 80 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.98212 - -0.01088. Let s = r - 0.093. Let w = s - 4. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 - 154 + 6*b**2 + 154.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 - 7724*k + 43977888 = 0. What is k?\nAnswer: -4419, 2488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1249034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = -18. Suppose -l*a + 10*a = -552. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 2:48 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*6\/(-36)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -55567018\nAnswer: -55567018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/(l*l**(1\/3)*l*l*l))\/l*l)**(-7))**(-3\/5))**(-18) assuming l is positive.\nAnswer: l**(882\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1328 = 5*c, 5*c - 2*g - 1336 = g. Let p = -258 + c. What is the smallest common multiple of 20 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122817288 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(3\/165*-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.00358 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62*k**3 + 2*k**2 + 4*k + 1582 wrt k.\nAnswer: -186*k**2 + 4*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2607.0000034 + -2607. What is j rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 - (-4 + (-18 - -21))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 22644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-70)\/175*55\/(-6)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 - 26*x - 102. Give y(2).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.8262 + -32.7200681. Let u = t - 11.1060419. Let z = -11 - u. What is z rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 287\/(-3) - 12\/(-18). Let v = n + 111. Calculate the remainder when 29 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 u when three letters picked without replacement from {u: 7, y: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.024 + 0.04. Let p = v + 0.02. Round p to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*c**(-9\/7))\/c)*(c*c**0*c)\/c assuming c is positive.\nAnswer: c**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2461?\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2695.068 + 2690. Let c = m - -0.068. What is the nearest to 0 in 0.5, c, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhbhhbhh. Give prob of picking 1 h and 2 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-84)\/(-63))\/((-8)\/(-14)). Put h, 0.5, 3, -6 in increasing order.\nAnswer: -6, 0.5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 2*h + 12. Let a be w(-4). Let m be (-4 - -4)*3\/a. Which is bigger: m or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pinp when four letters picked without replacement from ppipppipppnpipppp?\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1186*j**3 + 2*j**2 - 3*j - 3. Let f be d(-2). Let g be (-265218)\/(-28) - (1 - 0). Let r = g + f. What is the common denominator of r and 23\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6510672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/((-441)\/28))\/(2\/14). Suppose -g - 80 = -5*y - 0*y, -l*y + 64 = 4*g. Calculate the highest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1374, -1920, -2468, -3018, -3570, -4124?\nAnswer: -4680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -25. Let c(o) be the third derivative of -1\/1008*o**u - 1\/45*o**5 + 0 + 0*o - 1\/72*o**4 + 2*o**2 + 0*o**3 - 2\/315*o**7 - 1\/60*o**6. Factor c(j).\nAnswer: -j*(j + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 1:39 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -10*l**3 - 3*l**2 + 2*l - 1. Let g be v(-3). Let d = g - 142. Is 39 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Let u(j) = -5*j + 0*j - 6 + 2. Let z(i) = u(i) + 4*x(i). Let b(d) = d. Calculate b(z(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 4) + -3 + 4 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*p**2 + 21*p**2 + p**2 + (2*p**2 - p**2 + 0*p**2)*(-3 - 1 - 5) - 2*p**2 + 0*p**2 + 4*p**2 to the form v*p**2 + q + c*p and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(360)*4 - sqrt(360) - sqrt(360)))\/(sqrt(72)*3 + sqrt(72) - (sqrt(8) - (sqrt(8) - sqrt(24)\/sqrt(3))*3)).\nAnswer: 108*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3313 - 1935. List the prime factors of g.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 0*a**2 + a**2 + a**2. Suppose -2*r - 2*h - 3 = 1, -5*h - 37 = -4*r. Let s(t) = -r + 3 + 6*t. Calculate s(m(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6}. What is prob of sequence bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*z**6 + 158*z**5 + 87*z**3 - 9046121*z**2?\nAnswer: -4200*z**3 + 9480*z**2 + 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfihcm. What is prob of sequence mh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 30 = -0*r. Let i be -1*((2 - (-6 - -4)) + -29). Calculate the greatest common divisor of i and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 12*n**2 - 15*n + 28. Suppose 0 = -2*b - 154 + 180. What is u(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18339 + 24360. Is w a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {y: 1, v: 1, q: 5, z: 3, s: 3}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, -0.4, 239, -0.1 in descending order.\nAnswer: 239, -0.1, -0.4, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l + 5. Let d(h) = -h - 3. Let k(y) = -6*y - 16. Let n(v) = -16*d(v) + 3*k(v). Determine n(x(i)).\nAnswer: 18*i - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47, 102, 155, 206, 255, 302?\n\"Answer: -l**2 + 58*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -325, -568, -605, -334, 347, 1540, 3347?\n\"Answer: 17*g**3 + g**2 - 365*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -241\/6 + 40. Let o = -1.046 + 0.046. Let f = -1\/26 + -49\/78. Which is the nearest to f? (a) r (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*l - 136 = 0, 0 = d + 3*l - 4*l - 41. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-176)\/(-264) + ((-28)\/(-3) - 0\/(-1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j + 38. Let x(c) = -c - 13. Let i(h) = 6*f(h) + 17*x(h). Give i(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, w: 10}. What is prob of picking 4 w?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**(-27\/7)*(t*t*t\/(t*t**5)*t)\/((t\/t**4)\/t) assuming t is positive.\nAnswer: t**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 (base 7) in base 3?\nAnswer: 21210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 - p + 3. Suppose -n = -m + 4, 3*m + 5*n = -0*n + 20. Let l(s) = -s**3 + s - 2. Let c(b) = m*l(b) + 3*k(b). Determine c(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -216902755\/2976 - -72884. Calculate the common denominator of 99\/16 and h.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1711 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22013564735 - -16.5.\nAnswer: -22013564718.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/10)\/(30\/(-32) - (2 + -3))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67997, -135960, -203885, -271772, -339621, -407432?\nAnswer: -475205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 62. Suppose 4*x - 8 = 2*i, 0*i + t*i - 4*x + 6 = 0. Let h(a) = 4*a**i - 1 + 1107*a - 1 - a**3 - 1109*a. Determine h(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 11*x - 18. Let l(o) = -4*o + 6. Let s(j) = -3*c(j) - 8*l(j). Let y be s(0). Suppose -y*w = -w - 60. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - -1) + (1 - 3) + 2 + -3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 964 = -4490. What are the prime factors of b?\nAnswer: 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.209, -8, -28, 1\/7, -0.06 in decreasing order.\nAnswer: 4, 1\/7, -0.06, -0.209, -8, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p - 6. What is k(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 - (-49)\/(-42). Let o = -0.36 - 0.2. Let y = o - -0.46. What is the closest to d in -0.2, y, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 361 = -3*x, 0 = -x + 3*x + 4*y - 238. Let w(a) = -123 + 5*a**2 + x. Let z(l) be the third derivative of l**4\/6 + 3*l**2. Give z(w(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 402*h + 1. Is g(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from {t: 1, w: 2, j: 6, a: 1, e: 1, i: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + 1*sqrt(130))*2)\/(sqrt(30)\/sqrt(3)*-2) + (4*(sqrt(117) - (sqrt(117) + 3*sqrt(117))))\/(-1*3*sqrt(9)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 48, 94, 172, 294?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 353225 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 908, 2156, 4038, 6632, 10016, 14268?\nAnswer: 19466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12598*v - 12583*v - 75 = 0. Let n(s) be the second derivative of -s + 0 + 0*s**3 + 0*s**4 + 4\/5*s**v - 7*s**2. Differentiate n(r) wrt r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 93?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + 2.4. Let r = 2 + -1.9. Let h = -139.5 + 139. Which is the closest to r? (a) 2\/15 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3045 is divided by 239.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1588333 is divided by 2634.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y = 25, 0 = -4*z + 2*y + 38. Let m = 13 - 5. Let d = -5 + m. Solve -d*n + 4 = z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/6)\/((-32)\/384))\/((-2)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 39 + 4*n + 20.\nAnswer: 2*n + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -245*l**2 + 2*l - 5*l + 11*l**3 + 245*l**2 to o*l**2 + i*l + u + y*l**3 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1306.89 or 12\/19?\nAnswer: -1306.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11474510, -22949018, -34423526?\nAnswer: -45898034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 5 = 15*g. Suppose -2*l - 4*f = -968, -4*l + 3*l + g*f = -491. What is the greatest common factor of 54 and l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -152, -304, -458, -614, -772, -932, -1094?\n\"Answer: -y**2 - 149*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/15)\/(12\/(-15)). Let i = 2 - 2.3. Which is the closest to 1? (a) -0.1 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 z when three letters picked without replacement from hwzhzwzwhahzwzwzwh?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1060*d**3*g*y**2 + d**3*g*y - 216*d**3*y**2 - d**3 - d**2*y wrt g?\nAnswer: -1060*d**3*y**2 + d**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451340 is divided by 28208?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, j: 5}. What is prob of picking 2 j and 1 m?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 12 - 8 - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29398, 117605, 264616, 470431, 735050?\nAnswer: 1058473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/((-14)\/3)*5*126\/135. Solve 5*u + 2 = -4*y, n*u - 4*u - 5*y - 21 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -2. Solve -r*q + 3 = q, 4*g - 2 = 2*q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -774989 + 5?\nAnswer: -774984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -3 (b) -0.5 (c) 0.98452 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(5*(-1 + 1 + sqrt(5)))**2.\nAnswer: -746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152339 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -88*x**4 + 313*x + 147. Find the first derivative of w(i) wrt i.\nAnswer: -1056*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 17 = s, -5*d = -s + 6*s - 25. Let r(g) = 2153*g + 23. Is r(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5481*t**3 + 1623635*t**2?\nAnswer: -32886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 15*t + 1. Let v(k) = k**2 + 13*k + 13. Let h be v(-12). Calculate the smallest common multiple of 10 and n(h).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 804*g - 807*g + 28 = 0, 5*g - 57 = -2*q. Solve -281 + 250 = q*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrqvzzqrqzzvr. What is prob of sequence zvqq?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2627 = -5*g + 5*r - 2507, -125 = -6*g + 5*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 6*v - v + 2*v to u + g*v and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 1, -43, 0.2 in ascending order.\nAnswer: -43, -2\/11, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) -4 (c) -1205 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 200. Suppose -3*p = 2*l - 102, 14*p - 18*p - 2*l = -j. What is the remainder when 126 is divided by p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c**(-15\/7))**(-27) assuming c is positive.\nAnswer: c**(-972\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 0. Let o = -79 + 78.67. Let j = 0.03 + o. Is b equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 3*o + 3*o)*(1 + 2 - 1)*(0*o - o + 5 - 1).\nAnswer: 8*o**2 - 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*x = 15 + 21 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/20)\/(24\/30).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82 * -0.1.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 + 263 = -11*j + 224 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -633 + 1447. Is a a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 - 209\/3. Let d be 1\/(3\/18)*-1. Let f be (4\/6)\/(2\/d). Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(25\/15)\/(-5). Let w be ((-10)\/4)\/(a\/(-2)). Suppose 0 = -3*t + 3, -2*r - 2*t + 24 = 2*t. Solve z + r = -2*b + 7*b, -10 = -2*z - w*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**2 + 2*k + 8. Let v(z) = -z**2 + z + 1. Suppose -7*g + 32*g - 300 = 0. Let h(j) = g*v(j) - 2*w(j). Suppose h(l) = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v\/(v**(6\/7)*v)*v)\/v)*v**(-12))**(-33)*((v\/((v\/(v**7*v))\/v))\/v*(v*(v\/v**(-1)*v)\/v)\/v)**(-14\/11) assuming v is positive.\nAnswer: v**(27334\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7246840 and 9200.\nAnswer: 72468400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(275)*-2)**2 - (-6*sqrt(22)\/sqrt(2) + 1)**2.\nAnswer: -68*sqrt(11) + 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(12\/(-14))*(36\/54)\/(1120\/(-96))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 3601.\nAnswer: 43212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = 1. Let t be 55 + (-1 - 1) + -1. Let h be t\/14 - (-2)\/7. Solve h = -3*q + b*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 42895847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4386162005 to the nearest integer?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 4*m**2 - 2*m - 18. Does 5 divide p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-40)\/(-3060)*6\/((-144)\/(-6)).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2698 is divided by 180?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h + 5. Let l = 4.2 - 4. Let y = -0.4 + l. What is the closest to h in 0.1, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 5*g**4\/12 - 5*g**3 + 25*g**2\/2 + 19*g. Factor n(l).\nAnswer: 5*(l - 5)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122844192.\nAnswer: 2, 35088881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and -0.5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 e when three letters picked without replacement from eiit?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 21 = -12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z + 66. Let m(n) = 11*n + 123. Let r(j) = 5*l(j) - 3*m(j). Let d(a) = 2*a + 26. Calculate -7*d(f) - 5*r(f).\nAnswer: f + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/23)\/x)**27*(x**(2\/21)*x*x)\/((x\/x**(-16))\/x) assuming x is positive.\nAnswer: x**(-18056\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4921592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/7))\/(u*u\/(u*u*u**5\/u))*(u**(-2)*u)**(-6))**(20\/11) assuming u is positive.\nAnswer: u**(1560\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9*(-1)\/354)\/3. Do 0.4 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 917511018 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4.9, -3, 1955, 33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504*z - 557*z + 228271 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 115, -3, 0.3.\nAnswer: -3, -2\/11, 0.3, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 334944.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + 10 + 2*o**3 - 12 + 2*o**3 - 5*o**3 to the form l*o + c*o**2 + y*o**3 + h and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 961*p**2*w**3 - p*w**3 - 2*p - 29 wrt p.\nAnswer: 1922*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (4 + -3 - (-4 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 at least as big as 2\/565515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 q when three letters picked without replacement from {y: 1, v: 2, q: 2, s: 2, e: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -830 = -5*w + 5*c, 2*w - 850 = -3*w - 5*c. What is the common denominator of (-2)\/7 - (-2)\/(w\/234) and 76\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 44*g - 59*g - 155 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10496 - 55*n - 17*n + 359*n - 10510 + (-1 + 0 + 2)*(-6*n + 2*n + 3*n) to s*n + g and give s.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000630927 to seven decimal places.\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -17 (b) 4992\/11 (c) -5 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -23*c. Let o(l) = l + 3. Let d be o(-5). What is the tens digit of q(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2452 and 7356?\nAnswer: 7356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4*(-94)\/1. Suppose -5*w = -4*w - k. Let n = w + -30. Calculate the remainder when n is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -907*k - 20613 - 6784 - 10697 for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6812332279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -14 - 110. Let b = -32 - r. Let j be 32901\/(-7) + b\/(-7). Round j to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -28\/5, 2, -2?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 655*i**2 + 3349*i + 368. Determine k(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 2*l. Let c(d) = 4*d**3 + 33*d**2 + 59*d - 160. Let g(n) = -c(n) - 5*m(n). Let v(i) be the first derivative of g(i). Factor v(x).\nAnswer: 3*(x - 23)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 2 - 5 = f - 2 + 4, 5*f + 53 = 4*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79605*o**2 + 2*o + 71485.\nAnswer: 159210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, r: 1, x: 2}. What is prob of sequence uu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 + 26*q - 7. Let a be s(-9). Let m be 3\/((-1)\/(-1) + 0). Suppose -232 = -3*c + a*i, -m*i + 2*i = -1. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275971757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*q + 2*g + 8, 5*g = 10. Suppose -3*x + 0*c = q*c - 3469, -2*c = 2*x - 2316. List the prime factors of x.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j - 15. What is the tens digit of m(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2*m + m + 3, 3*m - 9 = y. Let l = 660.9 - 661. What is the nearest to l in 0.1, -1\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 8) to base 13.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17891 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5, -1, 26, -25, 3, 0.2, -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**4\/54 + 2*q**3\/27 + q. Let t(x) = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*v - 7*v + 32886, 3*t = 5*v + 49351. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145461924503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(6\/24). Let a(p) = 3*p - 12. Let t be a(5). Suppose -110 = -h*f - t*f. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 2*b - 2. Let m(k) = -5*k**2 + 11*k - 11. Let f(t) = 2*m(t) - 11*s(t). Let i(d) = 9*d**2. Give i(f(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 3\/5 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*k = 3*w - 246*k - 27, 3*w = -k + 15. Solve s = w*q - 21, -10*s + 11*s + 5 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 28. Let q(h) = 329*h + 196. Let i(o) = -14*b(o) - 2*q(o). Let z(r) = -r. Calculate i(z(f)).\nAnswer: 644*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzcr when four letters picked without replacement from {z: 9, c: 2, p: 3, r: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:44 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712054.\nAnswer: 2, 7, 181, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 9 + 9)*(22 - 21 + 15) - 5*v + 3*v + 3*v + (-1 + 2 + 3)*(v + 4 - 4) in the form n + c*v and give c.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-2*-4)\/(sqrt(90)*1).\nAnswer: 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61772303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/21 - (-1866)\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/33 + 4\/(-22). Suppose 2*h - 2*q - 58 = h, 3*h - 4*q - 172 = m. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5 - 1240*h**4 - 6162*h**3 - 7372*h**2 + 4936*h + 9840 = 0. What is h?\nAnswer: -615, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3767.02, -27\/2 in increasing order.\nAnswer: -27\/2, -4, 3767.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210267 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -6) + (3 - 3 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 18 = -2. Suppose -i*f = -f. Is (-6)\/4*(-26 + f) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5 - 646*l**4 - 1949*l**3 + 1286*l**2 + 7780*l + 5192 = 0.\nAnswer: -2, -1, 2, 649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -1 + 3\/2*r**2 + 0*r**3 + 1\/6*r**4 + r. Let y(t) be the first derivative of m(t). Find the first derivative of y(o) wrt o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 31. Let v be q\/4 + (-20)\/120. Suppose -n - b - 7 = n, -10 = -2*b. Is n at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 45*s**2 - 64*s - 790. What is c(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 2\/48250543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 - 7*v**2 + 7*v**2 - 3*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1040\/(-195)*71*6\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6595*-0.3\nAnswer: 1978.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 c, 1 d, and 1 w when four letters picked without replacement from cbbbbwzbdbcwazbbzbb?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 25 = 25. Solve -8 = m + 5*r, t = 2*r - 1 + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415.0849 micrograms to grams.\nAnswer: 0.0004150849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(5 + 4 + (0 + sqrt(68) + sqrt(68) + 1)*-5)**2.\nAnswer: -800*sqrt(17) + 34081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 10*b + 6. Let t(f) = f**2 + 9*f - 5. Let w = 1 - -3. Let c(p) = w*y(p) + 5*t(p). Suppose -4*z = 44 - 28. Calculate c(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.014 - 1.014. Which is the biggest value? (a) -1\/7 (b) -3 (c) g (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522 - 155 = 104*b - 153 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/2)\/(344\/6192).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:45 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 9. Let m(v) = 7*v**2 + 12*v - 4. Let s(u) = 19*u**2 + 33*u - 11. Let q(l) = -11*m(l) + 4*s(l). Calculate -2*q(a) - 2*x(a).\nAnswer: -2*a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1 - 2) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2558519.\nAnswer: 349, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -2\/269 (c) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 2*q + 1. Let u be o(-1). Let f(k) = 3*k + 5*k + 21 - 3*k - 4*k. List the prime factors of f(u).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 14.0077. What is r rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 14 = -2*l, -174*b = 5*l - 175*b + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3920, 7919, 11918, 15917, 19916?\nAnswer: 23915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + v - v - 8*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 66, 76, 102, 150, 226?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 563416 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) - -3*-2*sqrt(76) - sqrt(76).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15626 is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 + 0*o**3 + 3*o**3 - 2*o**3 - 3*o**3 + 2*o**3 + (o**3 - 2*o**3 + 2*o**3)*(5 - 3 + 18) to b*o + i*o**2 + u + m*o**3 and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1046475 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 54.64011 nanoseconds?\nAnswer: 0.00005464011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1986, -2082, -2178, -2274?\nAnswer: -2370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*r + 8 = 0. Let f(c) = -73 - 3*c**2 + 73 + 0*c**r. Let p(n) = 3*n. Calculate f(p(h)).\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2896*k**5 + k + 4568?\nAnswer: 57920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-236)\/(-24) - (-118 - -128)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*k - 47 + 47)*(-2 + 3 + 1) + (5 - 3 - 1)*(0*k + 4*k - 3*k) to f + p*k and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1200) - (sqrt(27)\/((sqrt(72) - (sqrt(72) + 1*sqrt(72)))\/sqrt(8)))**2)*-3.\nAnswer: -240*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y + 7. What is d(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5270 + -5263.622. Let a = 6.439995 - b. Let j = a + -0.062. What is j rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 2*s. Let q be f(-2). Let i = q + 10. Let k = 0.105 - 0.005. Which is the closest to i? (a) k (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(-5) + (-7)\/35. Find the first derivative of -6 - h**4 + 4 + v*h**4 wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*p**2 + 2 - 20*p + 661*p**2 + 16*p - 7*p.\nAnswer: 555*p**2 - 11*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001105762686 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -480.3179031 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*m - 16 - 4*m**2 - m**2 - 20 + m**2.\nAnswer: -4*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 292 = 79*k + 130 - 221, -6*l = -9*l - 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -136 (b) -0.2 (c) 1 (d) 2.2 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 31 = 72. Let b = 104 + s. Factor 66*h**2 - 8*h - 64*h**2 + 9 - b.\nAnswer: 2*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -801144870468 plus 0.1?\nAnswer: -801144870467.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 1:22 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 2*q**2 + 5*q**2)*(3 - 2*q - 3) - 2*q**3 + 2*q**2 - 2*q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*y + 1913 + 37890 = 4178. Calculate the lowest common multiple of y and 150.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 6686.9946042912?\nAnswer: 6686.6946042912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 129\/27 + 4\/18. Let u = 24.1072 + -0.0072. Let q = u + -24.1. Put b, -0.1, q in descending order.\nAnswer: b, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 202?\nAnswer: -1\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/9 + 8*l**3\/9 + 583*l**2\/9 - 602*l\/9 - 392\/3 = 0. What is l?\nAnswer: -21, -1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -28. Let h = r + 15.3. What is the second smallest value in -0.4, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 153. Let g be 54\/12*z\/(-6). Let y = -11 - g. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {n: 1, u: 1, r: 3, k: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 3*b**4 + b**3 - 5*b**4 + b**4 - 1 + 1 + (0*b**2 + 2*b**4 + 0*b**2)*(3 - 3 - 1) + 8*b**4 - 4*b**4 + 2*b**4.\nAnswer: 3*b**4 - b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 234621437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m = 26*m - 20. Suppose m*i = 10*i + 10. Is i - (-8)\/5 - (-9135)\/25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n. Let m(z) = 6*z - 5. Let q(w) = -9*w + 7. Let x(p) = -7*m(p) - 5*q(p). What is v(x(t))?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -2 (c) -2\/5 (d) -0.677\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 12. Suppose 2*o + 2*o = 0. Let w be b(o). Calculate the greatest common factor of 48 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 3. Let a(n) = -10*n - 16. Give -a(y) - 4*q(y).\nAnswer: 14*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857\/7 + 12\/(-42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 5\/1 - (-4 + 7). What is the hundreds digit of (-107228)\/(-165) - 8\/180*i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44387 - 2*m + 6*m + 45992.\nAnswer: 4*m + 1605","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57669 is divided by 447.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmmmmmmmmmm. Give prob of sequence nm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12082 + 11970. Let v(q) = 49*q - 3. Let w be v(3). Let j = w + b. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/197280 and -64\/99.\nAnswer: 2170080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*t - 25*t - 26*t + 112*t - 34*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 4*l - 6, -t - 664 = -5*l - 670 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + p**2 + p + 2. Let z be x(0). Suppose -4*l = 2*m + 24 - 138, 5*l - z*m = 120. Let n = l + -22. Solve -w + 15 = n*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 119044037.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**2\/2 + j + 3. What are the prime factors of x(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {b: 5, u: 2, q: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3 - 1. Let p be ((-9)\/6 + 1)*-6. Suppose -1 - p = -s*o. Solve y = -o - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.9 - 1.9. Let g = q + -15. Let k = -0.032 + 0.042. Sort -2, 2, k, g.\nAnswer: -2, g, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66 - 10667175?\nAnswer: -10667107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + 11. Let j = 58 - l. Calculate the smallest common multiple of 74 and j.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98876987*f**3 - 79207650 wrt f?\nAnswer: -296630961*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021271894 rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Let w = 1 + q. Is (w\/2)\/((-4)\/(-70)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-12) + -1)\/((-20)\/16)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g*l**5 + 959*g*l**2 + g*l + 241*l**5 + 4*l**2 + l wrt l.\nAnswer: -300*g*l**2 + 14460*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 3*u + 2259 = 0. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(20\/(-8))\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -110. What is the greatest common divisor of n and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Calculate the remainder when 11 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 15\/(-10))*-6. Let d(g) = -4*g**3 + 3*g + g**3 + 2*g**3 + y*g**2 + 3. Let w(h) = 3*h**3 - 8*h**2 - 8*h - 8. Calculate 8*d(a) + 3*w(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*l + 1980, 5*l - 4189 - 731 = -5*z. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 1. Let k be z(0). Which is the second smallest value? (a) 3 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/85 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2861532 (base 9) to base 7.\nAnswer: 16252115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1212, -2391, -3542, -4671, -5784, -6887, -7986, -9087?\nAnswer: -10196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*((-14)\/5 - -1). Suppose 0*q + 3*q - a = 0. Suppose 2*o = -3*c + 122, q*o - 117 = -0*c - 3*c. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2839.5 - -2819.5. Sort -0.3, 2, 25, n.\nAnswer: n, -0.3, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 6:06 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u\/(u\/u**(2\/3)))\/u)\/u*u**(2\/9))\/(u\/(u\/(u**1\/u)))**(6\/25) assuming u is positive.\nAnswer: u**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 10*g**2 - 33*g + 40. Determine y(7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 2*d + 62 - 46*d**3 - 32 - d**2 as t + y*d**2 + z*d + h*d**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*1\/10*((-3744)\/252)\/13.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(45) + 0 + sqrt(45) - (sqrt(30)\/((sqrt(288)\/sqrt(3) - sqrt(6)) + sqrt(6) + sqrt(6) - sqrt(6)))**2.\nAnswer: -5\/16 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 2. Suppose -t*u = -0*u - 45. Suppose -v + u = -2. Solve 3*q = -v + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-35)*15\/(-24)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.8, 0, 1, 175.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*r*s*y**3 - 24*r*s*y**2 - r*y**4 + r*y**3 + 3*r*y**2 - 2*s + 2*y**4 wrt y?\nAnswer: -414*r*s - 24*r*y + 6*r + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47234 is divided by 317.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*q + 71*q + 2 = -70*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2306455*h - 4612911*h - 77*h**2 + 2306456*h.\nAnswer: -77*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.14982 rounded to one dp?\nAnswer: -27.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99 or -8?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3644559 and -97068.\nAnswer: -97067.6355441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**2 - 8*j**2 - j - 11*j**2)*(-j**2 + 8*j**2 - 2*j**2)*(3*j - 12*j - j).\nAnswer: 600*j**5 + 50*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2565910 or 6\/13?\nAnswer: -2565910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1765, 3532, 5275, 6982, 8641, 10240, 11767?\nAnswer: 13210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, 1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -53.3. Let q = k + -1.6. What is the biggest value in q, -8, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (5 - 1) + (-714 - -749)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12701 by 231.\nAnswer: 12701\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58263*c**3*i**3*p**3 + 2*c**3*i**3*p + 141*c**3*i + c**2 + 2*c*p**2 - 54*i**3*p**3 - 64*i**3*p + 2*i**3 + 3*p**2 wrt p?\nAnswer: -349578*c**3*i**3 - 324*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28 - -0.3077117.\nAnswer: 0.0277117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351637.\nAnswer: 11, 13, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3*o = -15. Let n(r) = -2*r - 3. Let l(b) = -6*b - 5 + 4*b + 1. Determine o*l(x) - 4*n(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 772*q**3 + 874*q**3 - 6*q + 2*q.\nAnswer: 102*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 226*i + 1481. Let v be k(-6). What is the greatest common factor of v and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hthhttthhkh?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)\/s*s)\/(s\/s**2*s))\/(s*s**(2\/3))**(9\/8)*s\/(s**(1\/2)\/s)*s*s*s**(-3\/5)*s*(s*(s**(-3)*s)\/s)\/s**(3\/7) assuming s is positive.\nAnswer: s**(-393\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -400493\/560 + 4291\/6. Calculate the common denominator of 73\/70 and y.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -0.041652?\nAnswer: 2.958348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 n, and 1 e when four letters picked without replacement from {e: 2, n: 6, t: 4}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(85) + (sqrt(85) - sqrt(85)*-2)))\/((sqrt(125) - (sqrt(125) + sqrt(125)*-1)) + sqrt(125) - sqrt(5)) + -2*sqrt(2448)*-1*-5 + 2.\nAnswer: -356*sqrt(17)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k - 336 = 0. Let d = 86 + k. Solve -7 - d = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.1, -1.2, -0.2, -5\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3\/11 (b) 0.5 (c) -4 (d) 9489\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h\/h**7)\/h*h)*h)\/h**3*h\/h**0*h*h**(1\/7))**(3\/26) assuming h is positive.\nAnswer: h**(171\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27133 is divided by 9039.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 12, w: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, b: 8, g: 3}. Give prob of sequence gabg.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4144 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 2*n**3\/3 - 1. Let u(p) = 6*p + 28. Let y(z) = 2*z + 8. Let i(v) = -2*u(v) + 7*y(v). Calculate i(r(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22001012 + -102001000?\nAnswer: -2222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.6 - -7. Let i = -1998 + 1995. Which is the third biggest value? (a) i (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**2 - 5*h**3 + 6*h - 9*h**2 - 6*h wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*w + 39664, 2*w = 3*f - 1327 + 21155. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -5, 1\/5, -81 in decreasing order.\nAnswer: 5\/2, 1\/5, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5265 - 5251.061. Round r to one decimal place.\nAnswer: 13.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105391 + 185892. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**3 - 85*r**2 + 6*r + 291. Let c be g(-14). Suppose f - 2 - 4 = 0. Solve c = f*z - 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1509768, 1509750, 1509730, 1509708, 1509684, 1509658, 1509630?\nAnswer: 1509600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590340 is divided by 56.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64.92 - 0.08. Let l = -61 - s. Put 0.5, -1, l, -14 in ascending order.\nAnswer: -14, -1, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1))**28*l**(-7)\/(l\/l**(-4\/3)) assuming l is positive.\nAnswer: l**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h = -87 + 53 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -13*h. Let a(x) = x + 5. Let f(d) = -d - 6. Let p(r) = -6*a(r) - 5*f(r). Calculate q(p(k)).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 875 and 1375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(3\/3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5345 or -5674?\nAnswer: -5345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.07, -538, -1?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 + 9*l + 14. List the prime factors of w(-8).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4 = 13. Let y be ((-6)\/8)\/((-441)\/98). Which is the biggest value? (a) 2 (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Let y(o) = 10*o - 80. Suppose -2 = h - 3*d - 25, 0 = -4*h + 3*d + 47. Let k be y(h). Which is the nearest to t? (a) 1 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931721.\nAnswer: 7, 133103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1714 - 771. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 6)\/((-2)\/(-4)). Sort 2, m, -2 in decreasing order.\nAnswer: 2, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 9:58 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594443 at least 5594445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 115736587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {r: 8, e: 1, g: 6, d: 3, w: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12830 + 2607. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14*(1 - (49 + 4\/(-2))). Let z = -301 - h. Does 49 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5100 divide 1137998700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050419471.\nAnswer: 79, 13296449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.8172 millimeters in kilometers?\nAnswer: 0.0000338172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 9:03 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(-4*s - 9*s + 0*s)*(198*s - 297*s + 837*s).\nAnswer: -19188*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 - 72*f**2 + 14*f - 504. Determine p(36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.885 and -0.1?\nAnswer: -0.0885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54668 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.195 to the nearest integer.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 220309.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erereerrrrrrrerr. Give prob of sequence ree.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksk when three letters picked without replacement from sssfkfkf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 3*f + 4. Let z(u) = -u**2 - 4*u - 3. Let t be (-90)\/21 + (-8)\/(-28). Let l be z(t). Calculate o(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14)\/3*(-120)\/28?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*v = -727 + 1444 - 830 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 7845?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.148 - -5.2.\nAnswer: 5.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/((-50*(-41)\/(-410))\/((-20)\/6))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 334*i**2 + 7*i - 10857. Let f(c) = 1341*c**2 + 30*c - 43431. Let t(q) = 2*f(q) - 9*s(q). Differentiate t(m) wrt m.\nAnswer: -648*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4, -m = 4*d - 0*d - 14. Let w be d + (-2 - 0\/(-4)). Solve 5*v = -3*u + 34, -3*v + 30 = 3*u + w*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (12\/(-24) - 37507\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 10:19 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3346)\/(-5975)*10\/7. Find y, given that -2\/5*y**2 - 2\/5 + u*y = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -31*r**3 - 6*r**2 + 3*r. Let t(z) = -24*z**3 - 5*z**2 + 4*z. Give 6*t(k) - 5*y(k).\nAnswer: 11*k**3 + 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-56*c**2 + 96*c**2 - 44*c**2)*(-5 + 1 + 1 + 2*c**2) to t + r*c + a*c**2 + h*c**4 + k*c**3 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*i + 6. Suppose i = 5*g + 16. Is g less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-7)*(z\/(z\/z**(-1\/6)*z))\/z*z*z**(1\/3)*(z**(-2\/11)\/(z\/(z*(z*z*z\/(z*z**(4\/3)\/z))\/z*z)))\/(z**(-6)\/(z*z**(3\/8))) assuming z is positive.\nAnswer: z**(271\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8466 to two decimal places.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 38*t**2 + 30*t - 63. Is z(20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 51, -58, 50\/9, 5, 4 in increasing order.\nAnswer: -58, -2\/7, 4, 5, 50\/9, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f - 2. Let u(a) = -a. Give h(n) + 2*u(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 59, -1\/5, 0.029, 3\/25 in descending order.\nAnswer: 59, 4, 3\/25, 0.029, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3*a*a**(-3))\/((a**(1\/2)\/a)\/(a*(a*a**(-5))\/a)) assuming a is positive.\nAnswer: a**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**3 + 3*j + 1103. Let g(t) = -3*t**2 + t + 3. What is 2*g(f) - 3*s(f)?\nAnswer: 3*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11\/4 - 2)*-8. Let l be ((-4)\/(-8))\/(1081\/(-188) - -6). Sort f, l, 3.\nAnswer: f, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90786120 a multiple of 466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 divided by 2?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 626 = -19*f, -2*b + 7 - 170 = -5*f for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43053.22ng in micrograms?\nAnswer: 43.05322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**3\/5 - 6036*g**2\/5 - 584640*g - 88992000 = 0.\nAnswer: -600, -309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*sqrt(11)*-2 + 0 + 2 + sqrt(11) + sqrt(33)\/(sqrt(3) - (sqrt(3)*-1 - sqrt(3)) - sqrt(3)) + 4)**2.\nAnswer: -143*sqrt(11) + 2343\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1*5806\nAnswer: -5806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*-2*-2.\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -239233760.99999998 - -239233766. Let l = 0.27 + -5.27. Let b = l + i. What is b rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**3 + 19*p**2 + 8*p - 8. Let t(n) = 2*n**3 + 6*n**2 + 3*n - 3. Let s(c) = -8*t(c) + 3*v(c). Find the third derivative of s(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3898.6 and -125.\nAnswer: -4023.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3779*k = 3645*k + 4690 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3352076.\nAnswer: 2, 7, 13, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 5. Let k = 0 - 15. Let d = 95 + -94.9. Sort k, d, z in ascending order.\nAnswer: k, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125.4 - -131. Let j = 2.6 - d. Is 10 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llp when three letters picked without replacement from llllplllllpplplp?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 912256147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -32000 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.4919652 rounded to three decimal places?\nAnswer: -9.492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55732880 and 8?\nAnswer: 55732880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -43571071 rounded to the nearest one hundred thousand?\nAnswer: -43600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (49*o**4 - 409*o**2 - 50*o**4 + 2*o + 343*o**2)*(-3 - 2 + 1) in the form l*o**4 + h + v*o**3 + y*o**2 + x*o and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + 0.45. Let i = 0.3 - n. Let r = -0.2 + i. Which is smaller: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 (base 12) in base 13?\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*r**2 + 26*r**2 + 20*r**2 + 6*r)*(4*r - r - r) to c*r**3 + t*r**2 + k + n*r and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-6))\/(15\/(-12) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 11:42 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 2, 13.\nAnswer: 1, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4387 - -4393. Solve 2*s - y*s = -33*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/sqrt(112) + sqrt(637) + -2)**2 + (-6*(-3 + sqrt(13)) - (sqrt(13)*4 + 3 + sqrt(13)))**2.\nAnswer: -359*sqrt(13) + 39765\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 57. Suppose 0 = q - 2*m - 2, j = 5*q + 2*m - m. Solve -9*c + 1 = -q*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.93 - -1.83. Let p be 2\/(-12) - 4\/(-6). What is the nearest to q in -4, p, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29089668.00194 + 29089923. Let u = 255 - j. Round u to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**5\/15 - w**2 - 26. Suppose 2*j = 20*j + 18. What is k(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2, -1, 929, 4 in decreasing order.\nAnswer: 929, 4, 2, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 3*k**2 - 4*k - 3. Let i be f(-2). Suppose 3*b - 5*h = 13, 4*b - h - 7 + i = 0. Let s = 0 + -1. Which is smaller: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.00815 and 7.\nAnswer: 0.05705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000126864 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -681895*h**2 - 891 + 681900*h**2 - 6054 + 30*h wrt h.\nAnswer: 10*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 8 = -10*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60438 is divided by 19818.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10 + 1)*(-101 + 100)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 2 - 2)*(345 - 117 - 134 - 294*i - 108 + 2950*i) as l*i + x*i**2 + a and give x.\nAnswer: 2656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s - 3. Let z be j(-6). Solve 4*w = 2*v - 18, 2*w - 4*v + z - 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 27. Let r be 1\/a - (1 + -6). Let y be (-1)\/(r + 36\/(-8)). Solve y = l - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from woowhvw. Give prob of picking 2 w and 1 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*g + g + 8*g)*(274 - g**3 - 274) in the form p*g + s*g**4 + l*g**3 + h + d*g**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1751928507 to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89803837?\nAnswer: 89803837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3*(-15)\/(-115). What is the nearest to -2 in 0.3, u, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 21*g**3 + 37*g**2 + 19*g - 149. Let c(q) = q**3 + 2*q**2 + q - 6. What is 38*c(n) - 2*u(n)?\nAnswer: -4*n**3 + 2*n**2 + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-620)\/(-800) + 4\/(-10)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101)\/(-202) + (-98)\/203?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Let i(g) = g**2 + 4*g - 3. Let f be i(-5). Let m be 2*12\/48*4. Solve 0 = -p*x - m*x - 5*q + f, q = -x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*m**2 + 11*m + 16*m + 5*m + 3*m to h*m + p + y*m**2 and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(((((g*g*g**(-2))\/g)\/g)\/g)\/g)\/g)**(-26)*(g\/(g**15\/g))\/g**(-5))**(-2\/7) assuming g is positive.\nAnswer: g**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a (base 12) to base 3.\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgdgdggd. What is prob of sequence dd?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.02897803 to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*h = 45, -25 = 8*h - 3*h. Suppose 2*m - 2 = 3*m + 3*a, -3*m - 3*a = -6. Suppose m*q - 6 = 2. Solve -q*l + 4*k = -4*l, 4*l = -k + u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 118, 184, 254, 328, 406?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 81 = 11. Calculate the remainder when w is divided by 30\/(-25)*(-30)\/4 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1221020 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 18 - 18)*(-6 + 6 - 3*m) + 4*m**2 + 67*m + 1 + 76*m**3 - 65*m - 74*m**3.\nAnswer: 8*m**3 + 4*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11651 (base 11) to base 8\nAnswer: 40562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 8:37 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -510 + 520. Solve -t*b = 7 - 27 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 3*g**2 - 11*g**2 - 4*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -u + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/12 + 5*x**3\/6 - x**2\/2 + 3*x. Let z(v) = -v**3 + 3*v**2 - 2. Let t be z(2). What are the prime factors of a(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -213 - 153. Let p = l - -125. Let n(h) = 2*h + 3. Let i be n(3). Solve -3 = -p*w + i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2873197 - 1671816. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11017*q - 4655*q + 8119*q in the form d*q + g and give d.\nAnswer: 14481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-32)\/(-4))*(-20)\/(240\/(-3))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence assj when four letters picked without replacement from sgbbagbsjbbgbjsgb?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644*s - 16066 - 8527 = -3341 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/36386 and -83\/10?\nAnswer: 181930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -158, -288, -418, -548?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 + (-58)\/(-18). Suppose 0 = -4*m - n*j - 2, 5*j + 10 = 2*m + j. Let v = 66 - m. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 4, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 11:39 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2. Let v(c) = -20*c + 3. Calculate b(v(t)).\nAnswer: 400*t**2 - 120*t + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1) + 4 + 88 - (21 - (-7 + 41)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-3)\/(-5) + (-24)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 105*l + 375. Let u(w) = -8*w - 29. What is -3*s(h) - 40*u(h)?\nAnswer: 5*h + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1052 = 18*o - 836 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/20, -0.4, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h + 15, 2*p - 4*h = -24. Let s be (-18)\/12*p*(-8)\/6. Calculate the common denominator of 196\/(-32) - (s - 0) and -97\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/2, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 5009*a**5\/60 - 3177*a**4\/8 + 198*a**2 + 7*a + 1. What is the second derivative of j(k) wrt k?\nAnswer: 10018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + -1 + sqrt(44))*-1)**2 - sqrt(44).\nAnswer: -10*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50330 is divided by 59?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 5*b**2 + 7*b - 4. Let l be q(3). Let h be (1 - 3\/3)\/l. Is h at most -8\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 47. Suppose -5*k + 5*s = -w, k + k = -s + 2. Suppose -4*z = -5*z - v + 11, 38 = 4*z - k*v. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2011 divide 305778583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 142315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*t - 2, 0 = -t - 0*t - d + 1. Suppose t*j = 34*j - 4046. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(2) + 1.\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1753 by 14.\nAnswer: -1753\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 13*h**3\/6 - h**2\/2 + 16*h. Suppose 7*d - 2*d + 3*b = -1, 5*d + b = 3. Let o be q(d). Solve 5*s - 2*s = o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**7\/210 - 1659*b**6\/40 + 365*b**4\/24 + 5*b**3\/6 - 299*b**2 + 2*b. What is the second derivative of g(z) wrt z?\nAnswer: -12*z**2 - 29862*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -171, 80, 335, 594?\n\"Answer: 2*v**2 + 245*v - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.39 + 0.7. Let m = 0.641 + z. Round m to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 8*f**2 + f - 9. Let r be (-17)\/(17\/(-10)) - (4 + -2). What is k(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 16 + 8 = 0. Let r(s) = -2*s**3 + s**2 - 2*s - 2. Let b be r(-1). Find the first derivative of o*f**2 - 1 - 7*f**b - 3 - 8*f**2 wrt f.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -8*b + 10*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**5\/240 + 5*x**4\/24 - 3*x**3\/2 + 204*x**2. Factor p(m).\nAnswer: -(m - 18)*(m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/8 - (-272583)\/248 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 15 + 25 + d + 2*d**2 - 3*d**4 + 2*d**3 + 100*d**4 to f + m*d**2 + k*d**3 + l*d**4 + w*d and give l.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**(1\/3))))**(-4\/13)\/(n**(9\/7)\/(n*n**12)) assuming n is positive.\nAnswer: n**(3086\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 3:45 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/17)\/(((q**(-3\/4)*q*q*q)\/q*q)\/q) assuming q is positive.\nAnswer: q**(-77\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -50. What is the remainder when 58 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 57. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1946 and 1946 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87900, 351555, 790964, 1406127, 2197044, 3163715?\nAnswer: 4306140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208506720?\nAnswer: 2, 3, 5, 434389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.6 (c) -3613894 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 749*n**3 + 0 + 0 - 379*n**3 - 372*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.5 + -34. Let u be (21\/(-9) - -4)*6\/(-25). What is the second biggest value in -7, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 7. Let i = d - -2.9. Let w = -0.3 + 1.3. Which is the nearest to -1? (a) -1 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3730103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 12) to base 15\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*r - r - 337, 0 = -2*i + 3*r + 223. Suppose -5*h - i = 306. Let s = h - -88. Solve 0 = -5*n + s - 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:14 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + -1. Let c = -1.69 - 25.31. Let u = c + 56. Does a = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233459 is divided by 233153.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -66283.4 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 3. Suppose -a + 4*a = -5*j - t, -4 = a. Let m(q) = j + q + 6 - 3. Give m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + -4*(-2*(sqrt(252) - (sqrt(252) + 1) - sqrt(252)) + -1*sqrt(252)*1 + sqrt(252)))*-6)**2.\nAnswer: 1036800*sqrt(7) + 14644800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**5\/4 - a**4\/12 + a**2\/2 - 33*a. What is h(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrrrrrrerenmrrxnnr. What is prob of picking 1 n and 1 x?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -199*k - 41. Let g be u(-3). Suppose g = a - 913. What are the prime factors of a?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8361 is divided by (35 + -120)*4*(-1)\/20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, -4, 55, 0.5, -7, 1?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 131\/6419*1\/((-9)\/(-18))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -419*x + 74*x + 15*x - 44*x - 4*x**3 - 125 + 503*x**2 = 0. What is x?\nAnswer: -1\/4, 1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8*o**3 - 2*o - 7. What are the prime factors of l(-2)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-48.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-3) - 0) + 206. Let r(n) = 141*n**3 - 3*n**2 + n + 3. Let j be r(-1). Let i = x + j. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**22)\/p**16)\/(p**5)**(1\/45) assuming p is positive.\nAnswer: p**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 113313030?\nAnswer: -113313030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 5)\/((-2)\/(-8)). Let z = w - -9. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*k = 319*k + 145 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(60) - sqrt(180)\/sqrt(3) - sqrt(60))\/sqrt(12) - (sqrt(5) + -5*(sqrt(10)\/sqrt(2))**2 - sqrt(5))).\nAnswer: -sqrt(5) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 222, 1 in ascending order.\nAnswer: 1, 2, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6421 (base 10) to base 6.\nAnswer: 45421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 981 a factor of 281758968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(210\/(-80))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*i - 4*o, 0 = -i + o + 3 + 7. Suppose w = i*w - 15. Solve -2*t - 12 = -0*r - w*r, 3*t - r = -4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11103 - 7394. Let r = 30497 + z. What is r rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**6 - 69*k**4*t**2 + k**2*t**2 + 26*k**2*t - 10*k*t wrt k.\nAnswer: -240*k**3 - 1656*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/a**23))*a**(-29))\/(a**(-11)*a*a**(-10)) assuming a is positive.\nAnswer: a**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 1:52 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 43*s - 451. Let d be h(-24). Let n(y) = -2 + 2*y**3 + 4*y**2 - 3*y**3 + 9*y - 2*y. Calculate n(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqp when three letters picked without replacement from qpqqpppqpppq.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k = 5. Suppose -5*h + k = -5. Solve -h*d - d = 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276 (base 16) to base 12\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 463*i = -149 + 615 + 460. Solve -i*s + 23 = -18*j + 23*j, 5*s = 4*j - 25 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1260)\/(-72)*(-248)\/(-10)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512*u - 365*u - 393*u - u.\nAnswer: -1271*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-12)*3*(-12)\/(-3285)*318\/530.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + x + 0*x = -49, -52 = 4*z + 4*x. Suppose -2*k - 5 - 7 = 0. Let r be ((-4)\/z)\/(2\/k). Which is the nearest to r? (a) 0.2 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 2*s - 16*c, -26*s - 6 = -21*s - 4*c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + -0.8. Let i = 0.1 - -0.9. Let p = 1 + i. Do a and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/2, 11, -5\/4, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -0*d - 126. Put 1, d, 0 in descending order.\nAnswer: d, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*n - 100, 3*p + 64 = -2*n + 4*n. Calculate the greatest common divisor of n and 54284.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 82. Suppose 13 = -8*d + 45. Let z = d + q. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2961 and 12477325.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 1103 + 1087. Let c(b) = 10*b + 5. Give c(g).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 43. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 14461*o - 18 - 17 + 69 - 14 + (5 - 4 + 0)*(-2*o - 2 + 2) to c + s*o and give s.\nAnswer: -14463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20\/37, 5, 1\/9, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-6 + 18) - (3\/(-9) + (-136)\/(-12))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 16*t - 3. Let m be g(0). Put m, -0.3, -0.051 in ascending order.\nAnswer: m, -0.3, -0.051","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/21 and -43\/213?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4*1)\/((-120)\/(-240)))\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -176.8013 * -4.24\nAnswer: 749.637512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/3558 and -5\/593?\nAnswer: 3558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15506, -15563, -15648, -15761, -15902, -16071, -16268?\nAnswer: -16493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59046 is divided by 3280?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b - 2. Let f(k) = 8*k**2. Determine f(i(m)).\nAnswer: 72*m**2 + 96*m + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3*sqrt(1200)*2 - sqrt(1200)) + 1 + 4 + 2*sqrt(1200))**2.\nAnswer: 8800*sqrt(3) + 2323225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (-1 + (0 - 15)). Let z = k + -16. Solve -2*g + 10 = -z*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*r**4 + 2*f*r**2 - 3*f*r + 332*r**2 - 1342*r wrt r?\nAnswer: 36*f*r**2 + 4*f + 664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3162*l**2 + 187*l + 187. Let x(s) = 34*s**2 + 2*s + 2. Calculate 2*u(k) - 187*x(k).\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3 - -1)*(-54)\/(-3). Find the third derivative of 11*v**2 + 4*v**4 + 22*v**t - 13*v**6 - 4*v**4 wrt v.\nAnswer: 1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 807 + -172. Let n = -615 + m. Solve -71*l - n = -66*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-9)*d\/d**(2\/29))**(-5))**(-35\/4))**(1\/62) assuming d is positive.\nAnswer: d**(-20475\/3596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*c, 2*c + 31 = 5*c + 5*z. Let t = c + 20. Let y = t - 14. Solve -r - y = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8034, 15518, 23004, 30492, 37982, 45474, 52968?\n\"Answer: m**2 + 7481*m + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i**2 - 1. Let n(s) = -4*s**3 + 3*s**2 - 2*s + 4. Let o(x) = 5*b(x) + n(x). What is o(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/2)\/(9\/(-54)). Suppose -2*m + g = -11, -14 - 11 = -5*m + 2*g. Calculate the highest common factor of m and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1042010 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 21 - -52 - (2 - -6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10604, -21115, -31636, -42173, -52732?\n\"Answer: -q**3 + q**2 - 10507*q - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 - 7*g - 5. Suppose 2*k - 11 = 25. What is the remainder when t(-8) is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 - 4*l**5 + 4*l**5 + (-l**3 + l**3 + 2*l**3)*(-2*l**2 - l**2 + 8*l**2).\nAnswer: 13*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -34. What are the prime factors of a\/6*(-18)\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2865993.\nAnswer: 3, 13, 43, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*f = 7, 0 = -4*l + 4*f - 2 - 26. Suppose 0 = -3*k + k - 6. Let o = k - l. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 2*z. Let m(l) = 3*l - 40. Let w be m(14). Let u(s) = -4*s. Let x(b) = -b. Let i(c) = u(c) - 5*x(c). Determine w*i(n) + k(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 2*w**2 + 3*w. Let b = 20 - 25. Let h(v) = 2*v**3 + 5*v**2 - 7*v. Let q be 3*(-2 - 8\/(-6)). Let t(z) = b*c(z) + q*h(z). Factor t(i).\nAnswer: i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-9)\/30*4\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*h + 2*k, 6*h = 10*h - 5*k + 25. Let m(g) = 40*g - 226. Let a be m(6). Solve -2*d - a*d - 48 = h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/4)\/(q*q*q*q*q**5*q*q))\/((q\/q**(-3\/13))\/(((((q**7\/q)\/q)\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**(-597\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t + 2538 = 56*t + 6*t for t.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = 5*l - 20, d + 8 = 5*l. Let a(i) = 3 + 0*i**2 - 3*i + i**3 + 3*i**2 - 1 + 3*i**2. Is 12 a factor of a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/24*-3*(-70)\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - -0.61. Let v = -0.1 + j. Which is the closest to 0.1? (a) 5 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((35\/(-7))\/10)\/((-2)\/12). Let t(l) = 3 + 0 - 4 - 1 - y*l. Let k(b) = -7*b - 5. Suppose 4 = -4*o + 20. Calculate o*k(j) - 9*t(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 2*h**2 + 2*h + 7. Let z be b(3). Suppose 0 = -3*y - 9, -x + z*y + 60 = 3*x. Solve 8*c = x*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116656 and 14?\nAnswer: 816592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*d)*((3 + 0 - 2)*(-1 - 7 + 3) - 71 + 40 - 69)*(6 + 0 - 1 + (0 + 2 + 0)*(-4 + 1 + 1)).\nAnswer: -210*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 - -0.6. Let g = -0.5 + 0.3. Is g smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53571726 divided by 6.\nAnswer: 8928621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 148 = -22. Let f(v) = v**3 - v**2 + v + 1. Let h be f(1). Suppose u = n - h + 9, 3*n + 25 = 5*u. What is the smallest common multiple of u and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 7*b**2 - 6*b + 2. Let a be q(6). Let o be 14*9\/54 + (-4)\/(-6). Solve -a*k + 5 = -o*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 2*q - 19, 96*z = -4*q + 99*z + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 + -0.2. Let c be (-11)\/9 + 1\/1. Let u be (-7)\/231*-93 - (12 + (3 - 12)). Put u, 0.4, z, c in increasing order.\nAnswer: c, u, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20 - -6)*(-3)\/(-3). Suppose 0 = -5*r - 4*t + m, 0 = -3*r + 2*r + t - 2. Solve 3*k + r*w = 3 - 22, 3*k = -w - 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3107 divided by -7775\nAnswer: 3107\/7775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.08 (b) 3\/2 (c) 2\/9 (d) -151 (e) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4253, 4263, 4287, 4331, 4401, 4503?\n\"Answer: m**3 + m**2 + 4251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2520 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555 + 422*v + 82*v - 505*v.\nAnswer: -v - 555","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1272)\/(-40) + (-3)\/(-15) and 12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1634 or 1\/5?\nAnswer: 1634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*6\/15)\/(2\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (10*(-22)\/33)\/(9*2) and ((-4)\/(-6))\/(44\/(-32)).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8877272, -8877273, -8877274, -8877275, -8877276?\nAnswer: -8877277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5\/182 = 0.054055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-560)\/(-880)*12\/(-21).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -d - 36, 3*t - 4*d = -0*d + 40. Let x(h) = -2*h**3 - 4*h**2 + h - 2. Let o be x(-4). Suppose -t*i = -7*i - o. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) -0.093247 (c) 0.03 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1199 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + 4 + 120 + -115?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322330957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 2, 0 in decreasing order.\nAnswer: 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 1 - 1 - 0. Let d be h\/(-3) + (-33)\/(-9). Let a be 1 + 2\/d*2. Solve -a*k + 3*k - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7702734 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fafaaaa. Give prob of sequence aaa.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 10*n + 2. Let r(g) = g**3 + 6*g**2 - 2*g - 3. Let h be r(-6). Let i be m(h). Let j(x) = -x**2 - 10*x - 8. What is the units digit of j(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -10165*x + 10203. What is o(1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 30 = -756*u + 758*u, -4*u + 5*u + 14 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -567 (base 11) to base 4.\nAnswer: -22212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4155 is divided by 320.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 5, a: 1, s: 1, u: 9, v: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584249?\nAnswer: 3, 43, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 equal to -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35891352 smaller than 35891353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*b + 7*b + 20, -4*b = 4*h - 16. Let s(w) = w**3 - 5*w**2 + 9*w + 4. Let d be s(h). Calculate the highest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.395 take away -492?\nAnswer: 492.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -160, -240, -320, -400?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 763 and 12262747.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 24*v**2 - 51*v + 19. Suppose 153*h - 1196 = 199*h. Give n(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74744 and -18.94?\nAnswer: -1415651.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 - 5*c + 19. Let j(n) = -n**3 - n. What is -d(k) + 5*j(k)?\nAnswer: -7*k**3 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15062 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -105, -102, -99, -96, -93?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3 + 591*p**2\/2 - 1377*p = 0. Calculate p.\nAnswer: 0, 51\/10, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 426586 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 227?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(66)\/(sqrt(176) - sqrt(11)) - (sqrt(126)\/sqrt(3))\/sqrt(7))\/((sqrt(2) - 3*sqrt(18)) + (-2*sqrt(8))\/sqrt(4))*3.\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17146502 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*t + 9, -4*t - 4*g = -194028 + 193980 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77453 - -110090. What are the prime factors of q?\nAnswer: 3, 11, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1132413, -1 in descending order.\nAnswer: 3, -1, -1132413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*x + 14, 2*h = -x - 0*x + 12. Suppose l - 2*l + 3*t = 15, -3*l - h*t = -25. Suppose l*u - 3*u = 0. Sort -0.3, u, 2 in decreasing order.\nAnswer: 2, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1028 + 10173\/10. Calculate the common denominator of y and 85\/(-12) + 2\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/((-22)\/(-2)))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/7)*s*(s*s*s**(3\/5))\/s*(s\/s**(3\/7))\/s**(-3\/2))\/(((s**(-6)\/s)\/(s**(1\/4)*s))\/(s*s*s**6*s\/s**(1\/3))) assuming s is positive.\nAnswer: s**(9127\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - n = 39, 35 = 2*g - 3*n - 47. Calculate the greatest common factor of g and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 744*y**2 - 8*y + 9. Let w be u(1). Suppose -6*l = -853 + w. Calculate the remainder when 176 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -299 equal to -299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148765 (base 9) to base 12.\nAnswer: 4511b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 3*r - 10. Let i be f(8). Let n = -17 + i. Solve 4*z = -x - 0*x + n, 0 = -3*x + 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/18, -1, 2\/5, 17.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v**3 + 5*v**2 - 6*v - 11. Let m(s) = 2*s**3 - s**2 + s + 2. Let j be (-278)\/(-973) - 150\/(-14). What is j*m(y) + 2*a(y)?\nAnswer: 2*y**3 - y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8 = -7. Let s = m + -1. Suppose s*i - 12 = i. Calculate the lowest common multiple of i and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2350473 and 10363?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4*b - 75 = -0*s + 161, 186 = -b - 2*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 197*t**5 - 4*t**2 + 16*t.\nAnswer: 11820*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 43*i - 443. Let r be h(26). Is -49 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17971063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(108))**2.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 780 divided by 5\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -17, -24?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1207.\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ba0 + 444?\nAnswer: 2204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o. Let s(p) be the third derivative of -p**5\/24 - 29*p**3\/6 - 57*p**2. Let z(i) be the first derivative of s(i). Determine u(z(j)).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**28*g**10\/((g*g**(-3\/2))\/g) assuming g is positive.\nAnswer: g**(-89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**3 + 116*q**2*w + 737*q**2 + 2307*q*w - q + 2*w + 2 wrt q?\nAnswer: -12*q + 232*w + 1474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139.9 + 140. Let w = 99 + -497\/5. Let h = -76 + 530\/7. Sort n, h, w in decreasing order.\nAnswer: n, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -123, -178, -231, -282, -331, -378?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172 and 1?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 23*b**2 - 50*b + 172. Let r be y(21). Put 3, 5, r, -3 in increasing order.\nAnswer: -3, 3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o - 4*y + 16, -2*o + 12 = 3*y. Suppose o*k = -5*k + 100. Calculate the greatest common factor of k and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28392 = 2*b + 4*i, -12*b - 3*i = -74023 - 96497. Is b a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5372783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.003072348 times 6\nAnswer: 0.018434088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 0.001, 7, 1\/3?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmkeme. Give prob of picking 2 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 + 2*i + 3. Let l be o(-1). Let m(f) = 2*f - 5*f + 6*f**2 + 1 - f**3 - 5. Let t be m(l). Calculate the highest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2854.66g in tonnes?\nAnswer: 0.00285466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 412 - 17. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5890 + -5875. What is the remainder when 4647 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121054007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.358 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9867 and 57431.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5165, 20226, 45337, 80498, 125709?\nAnswer: 180970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80801907 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1680\/6048)\/(10\/(-8)))\/((-2)\/72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c**2. Let l(p) = 2045*p. What is l(k(z))?\nAnswer: -14315*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1015 and 6685.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/6769204 and 109\/182?\nAnswer: 47384428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h + 52. Let r(u) = -26*u - 415. Let g(z) = 51*i(z) + 6*r(z). What is the first derivative of g(d) wrt d?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(12\/11))**18\/(p*p**(-15))**(5\/12) assuming p is positive.\nAnswer: p**(2869\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -437*r - 15. Let q be v(-4). Suppose -3*u + q = -172. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 871*r**2 - 589*r - 2954. Let v be q(-5). Round v to the nearest one hundred.\nAnswer: 21800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4*o + 3*o)*(-1 + 2*o**3 + 5*o**3 + 3).\nAnswer: -7*o**4 + 21*o**3 - 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 8, 3, 5, 1201 in descending order.\nAnswer: 1201, 8, 5, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 7, x: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (420\/(-280))\/(27\/4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 1611 in descending order.\nAnswer: 1611, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5317139 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*d = 1, -d - 6 + 2 = -2*w. Suppose w*f = -3, -4*m - 5 = 3*f - 18. Suppose 0 = 8*l - m*l. Sort 0.2, l, -0.5 in ascending order.\nAnswer: -0.5, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -4, 52, -5, 5 in descending order.\nAnswer: 52, 5, -4, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 3538395.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 + 0*y**4 + 0*y**4 - 6*y**4 - 8*y**4 + 13*y**4 + (-y**3 - 4 + 4)*(-y - 3*y + 6*y) - y**4 + 5*y**4 - 3*y**4 + y**3 - y**3 + 3*y**4.\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -p - 3*b + 2, 3*b = -5*p + 76. Put -6, p, 4 in descending order.\nAnswer: p, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + -29. Let t be 877799\/i + (-9)\/12. What is t rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62880 and 33840?\nAnswer: 8866080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96189b (base 12) to base 13.\nAnswer: -64b446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12706654627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184*b**2 - 457*b**3 + b**2 + 1196 - 504*b**2 - 3*b + 448*b**3 wrt b.\nAnswer: -54*b - 638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/37 and -1\/111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 0*t**2 - 5*t**2 + 6*t**2.\nAnswer: t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 100 and 98 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 91 = 8. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3592\/7 or 513?\nAnswer: 513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3\/4, 4, -25, 260?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/2 + 36*a - 2. Let z(o) = -2*o + 8. Determine z(m(y)).\nAnswer: -12*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/20*10)\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 3*r - 4*r)*(-2 + 4 + 0)*(2 + 3 - 4) as p + u*r and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/48*(-52)\/39.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 11:18 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1818 and 7979.\nAnswer: 143622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 5. Let w be z(-6). Let b be (-15)\/(-4) + w\/(-4). Suppose x + b*x = 370. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 5 - 2*l - 38)*(-4*l - l + 4*l) as d*l**2 + y + j*l and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -322, -649, -1076, -1585?\nAnswer: -2158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -5*o - u, -5*o + 3*u + 48 = -0*u. Let s = -24 + o. Let x be 4\/6 - 136\/s. What is the highest common divisor of x and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 54 = -2*d, 89*d = 4*g + 90*d - 72. Let j(n) = -n**3 + 5*n**2 - 4*n + 4. Calculate the remainder when g is divided by j(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19986609 and 48645.\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 745394.9 + -0.11086.\nAnswer: 745394.78914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 243077692295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose -y = k - 1. Let b(l) be the first derivative of l**3\/3 + 3*l**2\/2 + 3*l + 2. Determine b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 1, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 + ((-11)\/(-22))\/(4\/(-80))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2488955727 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 - 2*m**2 - 3*m + 3. Let c be w(2). Suppose 0*o - c*o + 115 = 0. Let f = o + -16. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 17 = -k, -21 = -3*k + 4*q - q. Let t(j) = 2*j**2 - 3*j**2 + k*j**2. Let y(b) be the first derivative of -2*b**3\/3 + 2. Determine y(t(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 0 + 0 + (-i + 0*i + 0*i)*(2 + 1 - 1) + 722*i - 5924*i - 590*i to r*i + l and give r.\nAnswer: -5796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/9 and 7\/19699?\nAnswer: 177291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 703 - 685 - (-12 + (0 - -1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/((-6688)\/(-874))*1\/((-5)\/(-20))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 482, -31, 2 in decreasing order.\nAnswer: 482, 2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + k**2 - 2*k - 3. Let m = 35 - 38. Let j(u) = -u - 1. Give m*j(c) + p(c).\nAnswer: 2*c**3 + c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 11*i**2 + 30*i + 37. Give x(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2022 + 6062\/3. What is the nearest to 0.1 in -92, t, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65219*i**4 + 23381*i**2 - i wrt i.\nAnswer: 1565256*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/(-81))\/((-300)\/45).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30705 by 345.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/405 and 41\/11631870.\nAnswer: 34895610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-14) - 90\/105).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 558.2 - 558. Is g less than or equal to -122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1898731, -1898732, -1898733, -1898734, -1898735, -1898736?\n\"Answer: -z - 1898730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25995 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ae5e1 (base 15) to base 10\nAnswer: 554836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -79 - (-1 - -2). Let p = -40 + y. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 14) in base 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*k**4 + 96*k**3 - 431*k**2\/2 - 6*k + 27\/2 = 0. What is k?\nAnswer: -1\/4, 1\/4, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 65637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12742727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1573*x - 13382791 + 13380753 - 268*x wrt x.\nAnswer: 1305","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4713 - 11610960166.\nAnswer: -11610955453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 - 3) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qod when three letters picked without replacement from {o: 1, p: 1, f: 1, d: 1, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -221211100021?\nAnswer: 221211100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22.64 and -0.03.\nAnswer: 22.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i - 45. Let m be w(-12). Solve -10 + 4 = -m*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17520 and 584.\nAnswer: 17520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:21 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12007303*c**3 + 1379022*c.\nAnswer: 72043818*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2961.96543 + 3188.9654563. Let f = y - 227. What is f rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*s**2 - 279*s**3 - 297*s**3 + 828*s**3 + 108*s**2 - 253*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 19. Suppose -u + 5 + 7 = -5*c, 3*u + 3*c = 0. Suppose 28 + 2 = g + u*k, 32 = g + s*k. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 198813882*h**2 + 304329563.\nAnswer: 397627764*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14928900 and 3850?\nAnswer: 164217900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 1.1 (b) -0.011 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + 2*g)*((-3*g - g + 0*g)*(0 + 0 + 2*g) + 5 - g**2 - 5) - 1193*g**2 + 1193*g**2 + 186*g**3.\nAnswer: 168*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**4 + 78*d**2 - 44*d - 79*d**2 - 2*d**4 to q*d**2 + n*d**3 + z*d**4 + w*d + u and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11852?\nAnswer: 2, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*1*(-1 + sqrt(125) + 1))**2*-2 + -1).\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-33280947\nAnswer: -16640473.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 67*v**2 - 19*v + 48. Does 54 divide i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) - 2*sqrt(2016)*3)\/(2*sqrt(448)*-1 + sqrt(448)).\nAnswer: 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2 + 46*s + 16.\nAnswer: -2*(s - 8)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 482 = 4*p. Let y be 688 + 275\/55 + 11. What is the highest common factor of p and y?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-36)\/(-7))*((-702)\/36 + 16). Solve -5*j = 3*x - 29, -j = 2*j + 2*x - c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.4 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -208, -205, -200, -193, -184?\n\"Answer: l**2 - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34613 is divided by 268.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/28)\/(2\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -18 + 18 - 2\/3. Sort 0.1, -5, s in increasing order.\nAnswer: -5, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t**3 - 4704*t**2 - 3142*t - 524 = 0. What is t?\nAnswer: -1\/3, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, 5, 27, 67, 131, 225, 355?\n\"Answer: w**3 + 3*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 122683?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12.1*-4475.8\nAnswer: -54157.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104298068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -79 or -1169\/15?\nAnswer: -1169\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 125530 - 1073. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3560.98 times 4?\nAnswer: 14243.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((4*sqrt(25)*2 - sqrt(25)) + sqrt(25) - sqrt(25)))\/(((sqrt(5)*-2 - sqrt(5)) + sqrt(5))*-5 + sqrt(5) + (sqrt(125)*-1 - sqrt(125))).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 12*n - 14*n - 14, -4*n = 3*i - 28 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**5 - 2*s**5 - 3*s**5 + (6 - 5 + 0)*(4*s**5 - s**5 - 4*s**5) + 5*s**5 + s**5 - 11*s**5.\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1090 divide 449717650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Suppose 2*g - 10 = 24. What is the remainder when ((0 - -2) + 47)*k is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 < -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 56*w**2. Let u(q) = -33*q**2 + 5*q + 7676. Determine u(r(m)).\nAnswer: -103488*m**4 + 280*m**2 + 7676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 4*i**2 - 1. Let a be n(4). Let f be 50 + (5 + a - 3). Suppose 2*v = 2*j + 110, -v = -4*j - 10 - f. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 2.8\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -338474510 rounded to the nearest 1000000?\nAnswer: -338000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/3 or 0.128?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 662713501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18500565 + -0.185. Round i to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 2*i. Let b be r(2). Suppose -10 - 42 = -b*y. Calculate the remainder when 37 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -5 (b) -4 (c) 1\/442 (d) 3\/2 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23892, -47438, -70984?\nAnswer: -94530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 7*v + 20. Let o be k(-9). Find the third derivative of 12*r**4 + 4*r - 17*r**2 + 4*r**o - 4*r wrt r.\nAnswer: 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -7 + -14 + 5\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 378, 557, 722, 867?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13312000212 - -111?\nAnswer: 13312000323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 4:04 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -94*g - 380. Give b(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15881, -64138, -144771, -257774, -403141?\n\"Answer: l**3 - 16194*l**2 + 318*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4607 and 253521?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 + 5*f. Let b be u(-3). Let n = b + -16. What is the smallest common multiple of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 65*x**3 - 67*x**2 - 128*x + 4 = 0. Calculate x.\nAnswer: -1, 2\/65, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 286, 98, -63 in decreasing order.\nAnswer: 286, 98, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m\/(m\/((m**(-2\/35)\/m)\/m)))\/m)\/(m**(-34)\/m))**13)**(-1\/55))**(-2\/17) assuming m is positive.\nAnswer: m**(29068\/32725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 558 + -92. What are the prime factors of z?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -4, -1\/2, -0.4, 5\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n + 2*d + 24, -4*d + 92 = 5*n. Suppose -3*z - n = -14. Is (511\/(-21))\/((4\/66)\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 196*s - 2440. Give b(84).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 3820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - 0. Let p = w + 15. Let v = 0.99 + 0.01. Which is the closest to -1\/3? (a) -0.2 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -19 - t - 5 - 22 + 46. Let f(w) be the first derivative of -7*w**3\/3 - 2. Give s(f(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(4\/21)\/y*y)**(-2\/39) assuming y is positive.\nAnswer: y**(-50\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, p: 7}. Give prob of sequence pu.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/9*-3 - -1. Suppose 0 = -7*w + h*w + 90. Calculate the least common multiple of w and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-238)\/(-63))\/34)\/((-16)\/(-72))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3773 + -3773. What is the second biggest value in 0.4, s, -165, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let y(l) = -6*l - 1. Let i be y(-1). Let v(f) = f**2 + 4*f - 2. Let m(a) = i*s(a) - v(a). Let m(z) = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -4 (c) -31 (d) 36 (e) 3 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730465 is divided by 146071.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/5)*o*o**(1\/3) assuming o is positive.\nAnswer: o**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 426984785?\nAnswer: 426984785.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110101111 + -10101?\nAnswer: 110110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 744\/(-18) - 2\/(-6). Let z = 449\/11 + v. Let r = -154\/3 - -52. Which is the closest to -2\/3? (a) r (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67121 (base 13) in base 6?\nAnswer: -4001245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 = 8. What is the units digit of ((-1188)\/24)\/(58\/32 - v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 38476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 771 and 8.\nAnswer: 6168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563604?\nAnswer: 2, 3, 67, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 + 2*z**3 + 6062 + 0*z**3 + 7125 - 13187.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-850) + (-82)\/(-1025).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*((sqrt(272) - 2*(sqrt(272) + 1 + sqrt(272) - sqrt(272)))**2 + sqrt(272))*3.\nAnswer: -824 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -f + 14, -20*f + 54 = 3*m - 180 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266193473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -749 - -704 - (-4 + -106)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7081375661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 17 + 39 = 0. Let w be (-4)\/a*(-35 - -3). Find the second derivative of 0*u - 26*u**5 + 8*u - 7*u + w*u wrt u.\nAnswer: -520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 12. Let h be (-2)\/13 + (-12808)\/(-104). What is the units digit of -1*b\/(9\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*l + 68*l + 63*l - 243*l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 5*q - 11. What is the lowest common multiple of s(-7) and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32644 (base 9) to base 7\nAnswer: -120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f - 6*f - 10732 + 10732 + 16*f + 15*f.\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 12*s - 10. Let g be d(8). Suppose 4*x - g = 2*x. What is the highest common factor of x and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4 + -2*sqrt(832) + sqrt(832) + 0)**2*2)*3.\nAnswer: 384*sqrt(13) + 5094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 8:35 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 1. Let x be h(1). Let s = 9267 - 9277. Put 1, x, s in descending order.\nAnswer: x, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 370\/(-1776)*(-18)\/10. Which is the second smallest value? (a) q (b) 4 (c) 2\/11 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65c1 (base 14) to base 8\nAnswer: -42315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-5 + sqrt(77)\/sqrt(7) + 4)**2.\nAnswer: -232*sqrt(11) + 9267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 474, -17 in decreasing order.\nAnswer: 474, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11229\/2482 - -122\/73. What is the common denominator of -121\/10 and q?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 47*h**2 - 31*h**2 + 212*h**2 - 45*h**2 - 54*h**2 - 40*h**2.\nAnswer: -2*h**3 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11 and 880340?\nAnswer: 880351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 1:10 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**8\/84 + 6*x**7\/35 - 2*x**6\/15 - 52*x**5\/5 - 24*x**4 + 547*x**2. Factor u(n).\nAnswer: 4*n*(n - 4)*(n + 1)*(n + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 - 59*j**2 - 19*j**2 in the form y*j + g*j**2 + f and give g.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8 = 2. Let h(j) = -5 + s*j + 1 + 2 - j. Let p be h(8). Solve 3*x + 0*x - 5*q = 0, p = -3*x + 3*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75086659?\nAnswer: 75086659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36465)\/(-225) - 25\/15. Let q = -160 + v. Which is the smallest value? (a) q (b) 4 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 1195986154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 1. Let s(c) = -c**2 + 7*c + 11. Let h be s(8). Let p be k(h). Let u = 24 - 8. Solve -u = -n + p*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4, -2*m - 4*j + 8 + 4 = 0. Let b(f) = 0*f**2 + 0 + 2*f**2 - 3*f - 5504*f**3 + 5503*f**3 + 8*f + 2. Determine b(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.994 to one dp.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -170 bigger than -0.5696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 1 - (2 + -13 + 4)) + -14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y**6 + 0 + 0*y**4 + 0*y - 1\/30*y**5 + 1\/10*y**7 - 9*y**2 + 0*y**3. What is the third derivative of j(w) wrt w?\nAnswer: 504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**12*s)*s\/s**(-1\/7)*s assuming s is positive.\nAnswer: s**(-76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l*l**1\/l*l)\/l))**49\/(l**(-2)\/l**(-1\/8)) assuming l is positive.\nAnswer: l**(-377\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-11) - 0 - (-30276)\/1914?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660278209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 204 = -r. Let i = 73 + -46. What is the remainder when i is divided by -4 - -1 - r\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 2*b + 1, -382 = 7*b - p - 367 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7344)*-1)\/(-3*sqrt(6)\/sqrt(2)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (217 + 219 + 2353*o - 436)*(-4 + 5 - 2)*(0 + 0 - o) as q*o**2 + x*o + k and give q.\nAnswer: 2353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from salqqppo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2443 (base 14) to base 16.\nAnswer: 18bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, -2, 12, -3, 1.9, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74898 and 8379.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.08 (b) -2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**3\/3 - 2*l**2 - l + 1. Let t be c(-4). Calculate the common denominator of -53\/8 and 0 - 0 - 13*t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*v + 2312. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -82, -92, -88, -64, -14, 68, 188, 352?\n\"Answer: o**3 + o**2 - 20*o - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*r - 1 + 11 - 18*r + 5*r**2 + 0 - 9 to the form n + j*r + u*r**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 991, 4006, 9031, 16066, 25111, 36166, 49231?\nAnswer: 64306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/11 - 324\/(-33). Differentiate 2*m + 3 - 12*m + g*m + 11*m**2 with respect to m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*c - 24*c - 147 = 261 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*s - 1 + 47*s - 32*s)*(-5 - 2 + 5)*(-2 - 1 + 2)*(-s + 2*s - 3*s).\nAnswer: 64*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from {f: 3, v: 3, y: 1, p: 2, i: 1, t: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 3) to base 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 26732?\nAnswer: 2673b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - 2. Let s = 15 - 6. Let q(w) = w**2 - 1. Let l(b) = 12*b**2 + 5. Let v(o) = l(o) - 4*q(o). What is s*f(g) + 2*v(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*2\/14)\/((-12300)\/21525)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 736*c**2 + 64*c - 11776.\nAnswer: -4*(c - 184)*(c - 4)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595655253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**3 - 3*r**2 - 3*r. Let s(b) = -b**2 - b. Give 5*n(f) - 15*s(f).\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from zlxpxxxvvzxzxvv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 12) in base 4?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -821580 to the nearest one thousand.\nAnswer: -822000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/8 + 21*o**2\/8 - 387*o\/8 - 405\/8.\nAnswer: 3*(o - 9)*(o + 1)*(o + 15)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + (-1*2*sqrt(1872))**2 + -2 + 2 + sqrt(52).\nAnswer: 14*sqrt(13) + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/850895?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-5))\/(116\/(-290)) + 11 + (-33)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2, 11, 338, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12948.\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13699791 is divided by 300?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d + 15. Let i(h) = h - 5. Let q(m) = -7*i(m) - 2*w(m). What is the lowest common multiple of 3*(-4)\/(-3) + -2 and q(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33220 + 1331?\nAnswer: -31223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533353385?\nAnswer: 5, 257, 415061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11001 (base 2) to base 10\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2288)\/156)\/(35\/(-12)) + -5.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, -2\/9, -5, -0.3, 4\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100333725 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 229078 and -2.5.\nAnswer: 229075.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 36718 (c) 2\/127 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 46 = 422. Suppose -3*m = 3*v - 819, -o*m = -23*m + v - 821. Is m a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*t**6 - t**6 + 4*t**2 + 0*t**6 wrt t?\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 + 330550\nAnswer: 330551.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19017*x**4 + x + 3125?\nAnswer: 228204*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**5\/4 - 385*d**4\/12 - 3400*d**3\/3 + 12000*d**2 - 92*d + 1. Factor r(a).\nAnswer: -5*(a - 3)*(a + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3 + 0 - j + 2 + 0*j. What is the units digit of p(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 283b99a?\nAnswer: 283b99b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {g: 17, r: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1848 is divided by 255?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 57*q**2 - 364*q - 245. What is i(50)?\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -11*b**3 + 8*b**2 + 7*b + 10. Is c(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) + -2*sqrt(91))*-3 - sqrt(91))\/(sqrt(196)\/sqrt(7)) + 4)*6.\nAnswer: 6*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 16*u**3 + 5*u**2 + 15*u - 20. Let j(b) = -12*b**3 - 2*b**2 - 6*b + 10. Determine -5*j(q) - 2*y(q).\nAnswer: 28*q**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14009 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 4*w**6\/15 + 7*w**5\/20 - w**4\/12 - 3*w**2\/2 - 2*w + 2. What is the third derivative of b(n) wrt n?\nAnswer: 192*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 41. Let f = -2916 + 2915.869. What is the third smallest value in f, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1823882 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -159.055.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 1) + (-2 - 12 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 708113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -27. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 1109*s**6\/60 - 4283*s**4\/24 + 6*s**2 - 37. What is the second derivative of q(x) wrt x?\nAnswer: 13308*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 7*k**2 - 3*k - 6. Let c be l(6). Let u = c - 7. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 6*v**2 + 4*v - 9. Let d be ((-8)\/(-6))\/(2\/12). Let z be w(d). Let h be z\/(-33) - (-10)\/(-55). Which is bigger: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 1, -5284457 in ascending order.\nAnswer: -5284457, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45.46 + -45.36. What is the closest to 5\/2 in 0.5, w, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 86*i + 1118. What is w(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 6) in base 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**5 + 5*y**4\/12 - 17*y + 183. Let l(z) be the first derivative of f(z). Factor l(q).\nAnswer: 5*q**2*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (75\/20)\/((-3)\/(-8)). Let w be (-12658)\/170 - 6\/b. Let v = 22237\/306 + w. What is the common denominator of 37\/6 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 9:21 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24, -20, -12, 0, 16, 36?\n\"Answer: 2*p**2 - 2*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmhmzzhzhmzzz. What is prob of picking 3 m?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 189*g**5 - 3*g**4*j**2 + 3*g*j**2 + 202*g wrt g?\nAnswer: 3780*g**3 - 36*g**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-9)\/2)*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = m - 2*a - 26, -10 = 4*m - 2*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-2*-2)\/(sqrt(1440) + 2*sqrt(1440)).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 3, -1\/3, 824?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 25*x - 442. Let y be g(-12). Which is smaller: y or -565?\nAnswer: -565","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000974 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4587078 and 46848.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-4 + 4 - u + (u + 2*u - 4*u)*(3 - 3 - 3) - 4*u + 3*u + 0*u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 6*q**2 - 10*q - 6. What is i(6)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from {z: 3, t: 7, r: 1, v: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-2\/11)*o*o**(2\/19)*o**1*o*o\/o**(-3\/5) assuming o is positive.\nAnswer: o**(5772\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1209 and -30\/403?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 5*t + 4. Let n = -34 + 39. Calculate v(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 7. Let k(p) = 6*p**3 - 18*p**2 + 3*p + 3. Let b(r) = r**3 - 3*r**2 + 3*r - 6. Let o be b(3). Let w be k(o). Calculate z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -512 - 1358. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9278728407909 - 0.08?\nAnswer: -9278728407909.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1039 is divided by 130.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -58, -2 in increasing order.\nAnswer: -58, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 2*z**2 + z - 5. Suppose -11*v + 20*v = 36. Suppose v*i - i - 18 = 2*r, 22 = -2*r + 4*i. What is b(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/15 + 0 + 238\/5. Let w = 54 - k. Sort -4, -2, -1, w in ascending order.\nAnswer: -4, -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12214319.60182 and -4?\nAnswer: 12214315.60182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/14 in -1\/10, 3\/5, 3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 372 + 368. Let v = 12 + k. What is the smallest common multiple of 120 and v?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.05, -8 in descending order.\nAnswer: 0.1, 0.05, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 24. Let z be 5 + (-1)\/((-2)\/4). Let r = b - z. Sort 3, 4, r in decreasing order.\nAnswer: r, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34, -76, -126, -184, -250?\n\"Answer: -4*j**2 - 30*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -771472\/3 or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -614 + 605 + 5 + (-2 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 9*a - 26. Solve -5*p + a*w - 4 = 11, 8 = 4*p + w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0489006959 + -3.8788999439. Let w = -3.83 - a. Round w to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3 - 2. Let p(k) = -k**2 - 4*k + 3. Let u be p(z). Let l(t) = 2 - 2 - 3*t - 3. Give l(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/20)\/((-2)\/(-88)). Let t = l - -6. What is the remainder when 33 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46*-231\nAnswer: -10626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**4 + 110*t**3 - 102*t**2 - 113*t + 112. Let c(k) = k**4 - 2*k**3 + 2*k**2 + k. Let q(a) = 3*c(a) - f(a). Determine s so that q(s) = 0.\nAnswer: -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/60 - 13*n**4\/24 - 4*n**3 - 3*n**2 - 51. Determine o(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/2 + 34)\/((-30)\/(-720)). Calculate the greatest common divisor of 1395 and t.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j = 26*j + 39*j - 23*j + 152 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143.1 - -143.4. Let k = 0.53 + -0.5. Do k and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*f = -732 - 105 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-2) - 711711\/(-78) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -21\/17 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**5\/6 - a**4 + 4*a**3\/3 + 8*a**2\/3 - 8*a + 16\/3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -3 (c) -4\/17 (d) -91 (e) 0.4 (f) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*f + 10592*f**2 - 10602*f**2 - 14*f.\nAnswer: -10*f**2 + 208*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13301514*t**3 + 976394*t**2 - 4*t wrt t?\nAnswer: -79809084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005177651955 to seven decimal places.\nAnswer: 0.0000518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -230*z**4 + 208*z**4 + 12 - 2*z**3 + 2*z**3 with respect to z.\nAnswer: -88*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.2 + -3.5. Let w = l - 1.3. Let x = -3 - -2. Which is the third smallest value? (a) -3 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3280\/984 - (4 + (-2995)\/4470). Let f(c) = c + 6. Let d be f(-5). Is a greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 29, -5\/3, 0.1, 2\/5 in decreasing order.\nAnswer: 29, 2\/5, 0.1, -1\/3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15010 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2947*u**3 + 2*u**2 + 34*u - 35. What is the units digit of b(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/354 and 65\/822.\nAnswer: 48498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 7*x - 7817 + 843. Is x greater than or equal to -635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/24*0)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 6*v + 2*v)*((6 - 1 - 3)*(-4 + 3 - 1) - 4 + 5 + 2 + 2 + 2 - 3 + (0 + 4 - 3)*(-3 + 3 + 2) + 3 + 2 - 3) to the form n*v + t and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(2\/5)*g))**(2\/13))**(-6) assuming g is positive.\nAnswer: g**(24\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 211*a - 611. Let w(t) = -263*t + 612. Give -5*j(s) - 4*w(s).\nAnswer: -3*s + 607","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 87 + -109 + -77 + -2 + 47\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2 - 2*f**2 - 2 - 1 + 6*f - 1. Suppose -95*q + 4 = -94*q. Determine r(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**3)**(28\/9)\/(u**(4\/13)\/u)**(-2\/21))**46 assuming u is positive.\nAnswer: u**(466348\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3 + 10*c**2 + 34*c - 42 = 0?\nAnswer: -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -7 - (3 + (4 - 5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1068 + -1072. Let c(v) = v + 8. Let p(w) = -15*w - 18. Let g(u) = -7*u - 9. Let o(f) = -13*g(f) + 6*p(f). Give z*o(j) + 5*c(j).\nAnswer: j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91037.12cm in meters?\nAnswer: 910.3712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3557782 and -127\/6.\nAnswer: 10673346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1.3 (c) -2\/9 (d) -2.63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6622.19525 rounded to the nearest integer?\nAnswer: -6622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -14*b - 114. Give i(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18771128 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: What is prob of sequence glgp when four letters picked without replacement from {l: 3, k: 1, p: 1, g: 3, h: 3}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/w)**(-9)\/((w\/w**(-1\/9))\/w**(-7)) assuming w is positive.\nAnswer: w**(-316\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/3 + 1 + -2. Suppose -5*r + 2*r = -4*v - 27, -5*r + 5 = 0. Let d be (3\/v)\/(3\/(-6)). Solve i = u + d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 704891511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (1*(-16)\/7)\/(40\/(-140))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**3 + 0*c**3 - 3 - 3*c**3 - 4*c**3 in the form o*c + x*c**3 + d + n*c**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 14 = 8*m + m. Let w(j) be the third derivative of 0 + 0*j**3 + 0*j - m*j**2 + 1\/30*j**6 + 1\/105*j**7 + 0*j**4 + 0*j**5. Factor w(s).\nAnswer: 2*s**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55549\/427 - -3210\/61. Suppose -5*b + 2*a = 911, b + 2*a - 362 = 3*b. Let n = b + h. Which is smaller: -6 or n?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iddddiddddid. Give prob of picking 2 d.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/2)*m)\/m**30)**(4\/43) assuming m is positive.\nAnswer: m**(-110\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 144390860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129 - 181. Let q = -35 - y. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 1. Let h be v(-2). Suppose h*i = o - 3, -4*i = 4*o - 3 - 9. Suppose 3*y - y - 12 = i. 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 i = -2\/8401 - 33586\/75609. Put i, 0.3, 22 in descending order.\nAnswer: 22, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btbbbbbbbbbt. What is prob of sequence btbt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + x - 2. Let h be r(-3). Suppose 18 + h = 2*d + 4*v, -4*v - 8 = -4*d. What is the remainder when 8 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*h**4\/7 - 138150*h**3\/7 + 23182274*h**2\/7 + 5156734*h\/7 + 40940 = 0. What is h?\nAnswer: -1\/9, 230, 623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206.19100184 + -0.752.\nAnswer: -206.94300184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2*24\/(-480)*0)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/3)\/((-10)\/(-30)). Put -2, h, -4 in ascending order.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/12262768 and -41\/1030.\nAnswer: 61313840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 450\/54 - 7\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 12. Suppose 8*j = o*j + 252. 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: Calculate the remainder when 21312 is divided by 388.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002 (base 6) to base 3.\nAnswer: -121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 1)*(-5*c + 4*c - c + 2*c + 0*c - 4*c + (-c + c - c)*(2 + 1 - 2) + 5*c - 3*c + 0*c + 0*c - c - 2*c)*(c**2 - 2*c**2 - c**2).\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m = -186 - 178 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from cbobbcboocbcobb?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + j - 6, -35*j - 55*j = -134*j + 38*j + 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + -0.2. Let f be -23 - ((-126280)\/(-252))\/(-22). Which is the nearest to 2? (a) s (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133302359 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.63 - -1.03. Let x = 58.3 - 58.4. What is the closest to 1 in j, 2, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46095 is divided by 394?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17101627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**5\/20 - 3*v**4\/4 - v**3 - v**2 + 4*v. Let n be q(-9). Calculate the highest common factor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(21\/9 - 3). Suppose 2*b - d = b. Calculate the remainder when (5\/15)\/(2\/b) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11444 divided by 3?\nAnswer: 11444\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 16328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2140*m**3 - 2876*m**3 + 811*m**3.\nAnswer: -4205*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 343790089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (44 - 24 - 25)*(4 - 2 - 4 - 5*r) as f + u*r and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -40.8 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*g = 96*g - 132 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8614.\nAnswer: 2, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100003201 (base 4) to base 7.\nAnswer: -362503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*z - 968*z + 21*z**2 + 325*z + 331*z.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by (84\/(-147) + 109\/7)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(5) - sqrt(40)\/sqrt(2)) + ((0 + sqrt(637))**2 + 4 - sqrt(637)).\nAnswer: -8*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (172*c - 19649 + 19649)*(-2 + c + 2) + 2 - 2 - c**2.\nAnswer: 171*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -56*(-15)\/240\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 6, 3, -59?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 - 2 = 0. Let p(m) = 3*m. Let k be p(r). Let o be 2\/4 - 69\/k. Solve -q = -2*c + q, -q - o = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -85. Let z be -5 - y\/(20\/(-75)). Suppose -2*x + 3*x - z = 0. Solve -4*q = 3*h + 1 - 7, q - 5*h + x = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, t: 5, q: 1, y: 2, g: 3, o: 1}. Give prob of sequence yqjg.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + 4143301141?\nAnswer: 4143301221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46584312?\nAnswer: 2, 3, 1941013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*w + 933 = 16*w - 288 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11175587 is divided by 1862595?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = 0, -5*v + z = -10*v + 47. What is the remainder when 3722 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p\/(p\/(p\/(p*p**0))))\/p)))**(-2\/5))**10 assuming p is positive.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1. Let i(p) = -2*p - 2. Give -i(v) - 3*m(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.9, 4, -6.726?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2613.000001059 - 2613. What is t rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 43. Sort -4, v, -2\/11 in ascending order.\nAnswer: v, -4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (1604\/76 - 8)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 1 - (9 + -5 - 4). Let n(p) be the second derivative of 0 - 1\/6*p**3 + 4*p + 0*p**w. Let h(b) = 3*b. What is n(h(d))?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*a + 35, v - a = -3*a + 9. Suppose -5*b + 5*j + 196 = -74, v*j + 15 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 11:39 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1012 - 20055812.\nAnswer: -20054800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 3:54 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k + 111. Determine o(-10).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 295204487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46, 85, 434, 1109, 2218, 3869, 6170?\n\"Answer: 18*l**3 + l**2 + 2*l - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14214 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 + b**5 + 2*b**5 + 51 - 51 + 53*b**5 - 2*b**5 - 2*b**4 + 2*b**4 - 2*b**3 - b**5 + 2*b**3 + (-b**5 + 0*b**5 + 0*b**5)*(-1 + 1 + 1).\nAnswer: 51*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -24*h - 486. Calculate u(-9).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5444 and 2206181?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6502 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (13054\/535)\/((-6)\/15)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.573457 rounded to 0 dps?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 + 506860*i + 2027360 = 0 for i.\nAnswer: -101368, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*c**4 - 60633*c**3 + 2628570*c**2 wrt c?\nAnswer: -192*c - 363798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 27*g**2 + 137*g + 53. What is u(20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2 + 561*p - 4726. Determine k(103).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1527 = -h, 76*h + 4*u = 73*h + 4549. Calculate the remainder when h is divided by 109.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452605469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 238*i - 50. Let o(x) be the third derivative of 119*x**4\/24 - 23*x**3\/6 - x**2. Let c(y) = -6*f(y) + 13*o(y). Differentiate c(u) wrt u.\nAnswer: 119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = 276. Let j = -33 + d. Let v = j + -25. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1029 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1360 - -1282) + (1 - -56)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 125077*d - 24*d**2 + 125077*d.\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-61840)\/(-1400) - 43 - ((-6)\/(-5))\/2\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.138 times 1?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -284 and -55221324.\nAnswer: -55221608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13687 - 13494.35. What is n rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/(-18) + 1)*-6. Let s(x) be the first derivative of -2\/3*x**3 + 0*x**2 - l + 0*x. Let r(b) = 12*b**2. Give s(r(u)).\nAnswer: -288*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 = w + 59*w + 499. Put 2\/21, 3, w in ascending order.\nAnswer: w, 2\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**2 + 126*l + 77. Determine n(32).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2, -14, -2\/15, 0.06?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 971 divide 579890910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(5\/(-2) + 3). Suppose s = m - 4*m + 2*m. Suppose -7*f = -2*f - 5. Which is the biggest value? (a) m (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 11 = 29. Solve v*j - 24 = -3*r, -6*r + j = -r - 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h - 3318 = -3182 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**5\/5 + 3*n**4\/5 + 831*n**3\/5 + 3957*n**2\/5 - 4788*n\/5 = 0.\nAnswer: -12, -7, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 28*j - 6. Let h be c(-22). What is the greatest common divisor of h and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14777, -60838, -137605, -245078?\nAnswer: -383257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24747452 rounded to 3 decimal places?\nAnswer: -0.247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 1:38 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 194.6 + -297. Let g = 102 + u. Which is the closest to -2\/5? (a) 1\/6 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2025) + -1*-4*sqrt(25))\/((sqrt(5) - 4*sqrt(5)*1) + sqrt(5) + 6*(sqrt(5) - sqrt(35)\/sqrt(7))).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2)*(i*i**(2\/11)*i*i)\/i)\/(((i*i**12)\/i)\/i)**12)**(-27) assuming i is positive.\nAnswer: i**(77409\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -691, -1460, -3019, -5632, -9563?\nAnswer: -15076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + -0.43. Which is the third biggest value? (a) -3 (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = v - 2*a, -3*a + 6 = -3*v + 7*v. Suppose v = 2*c + 4*b - 22, c - 4*b - 35 = 0. What is the highest common divisor of 152 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - 0\/(3 + 0). Let k = 40 + -32. Let f = k - b. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 11*s)*(109*s - 3687 + 3687 - 1330*s).\nAnswer: 13431*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 - 12*z**2 + 12*z + 11. Let m(t) = t**3 - 6*t**2 + 6*t + 6. Let i(f) = 5*m(f) - 3*w(f). Calculate i(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 9:52 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(392) - sqrt(392)*-2) + sqrt(392))\/sqrt(7) - 1*sqrt(56)*-2)\/(sqrt(968) - -6*sqrt(968)*-2).\nAnswer: -6*sqrt(7)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*x - 1068, 239*k + 4 = 240*k. Calculate the remainder when x is divided by 98.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -10, -5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3331 + -110?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 6 + 34. Let s be 3 - (-4)\/r*0. Sort 0, 1, s.\nAnswer: 0, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-2 - (-2 + 1)). Suppose 4*q + 10 = 5*z, 9*z - 6*z - 4*q + 2 = 0. Let p be (1\/z)\/((-3)\/(-67)) + -4. Which is smaller: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6) - 1)\/(3 - 0). Let t be 12\/9 - 3\/1. Put k, t, -8 in increasing order.\nAnswer: -8, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 1597*j + 1555*j - 2*j**2.\nAnswer: j**2 - 42*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47231603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 15*m - 33. Let h be i(12). Calculate the highest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -1727*n**7\/7 + 17*n**3 - 5*n + 683. What is the third derivative of z(f) wrt f?\nAnswer: -207240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362335545*m**5\/8 - 2897427933*m**4\/4 + 5394826227*m**3\/8 + 18856665*m**2\/4 - 4719*m\/2 - 45 = 0. What is m?\nAnswer: -2\/411, 2\/715, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(704) + (sqrt(704) + -1 + 4)**2 - (sqrt(704) + 1*(sqrt(704) + sqrt(704) + -1))).\nAnswer: 32*sqrt(11) + 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*4\/(-6))\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 2. Let g be z(-1). Let l(d) = g - 3*d + 5 - 2 + d. Let b be l(-3). Solve 3*v - 5*p = 22, 4*p + 9 + b = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -254 - -155. Let o be 22\/k + (-29)\/(-9). What is the second derivative of -30*s**3 + 15*s**3 - 26*s + 15*s**o + 4*s**4 wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a day in minutes?\nAnswer: 29520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-11)\/(-4))\/(-11))\/(12\/(-192)). Let l be (-7 - -5)*(1 - -1). Let z be 5 - (n\/(-5))\/(l\/10). Solve 0 = -z*t + t - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9679 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1638821689 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8128.266ml in litres?\nAnswer: 8.128266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -15. Let q = z + 15. Let b = q + -8. Put b, -1, -5 in decreasing order.\nAnswer: -1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**2 + 10*f**2 - 37*f**2 + 12*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 3\/145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2\/17 - 1481751672*n\/17 - 274448502184349448\/17 = 0.\nAnswer: -370437918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -6. Calculate the common denominator of (-9)\/b*(-92)\/(-42) and 83\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 418531451 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 17. Suppose 5*w - f*w = -21. Suppose -w*l - 131 = 37. What is l rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 288878, 4, 2, 5 in decreasing order.\nAnswer: 288878, 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Suppose q*n - 5*f - 107 = 14, 4*n - f - 150 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2399796 and 1246.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + (21 - 24) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + 32*j + 82. Let y be q(-7). Let a(i) = 22*i**2 + 5*i + 5. Let t(n) = n**2 + n + 1. Give y*t(m) - a(m).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21439620 and -33.86964?\nAnswer: 21439586.13036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037133 rounded to three dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15660 and 16994?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 216157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 27*h**2 - 96*h - 230. Let x(q) = 17*q**2 - 64*q - 153. Let k(c) = 5*p(c) - 8*x(c). Is k(28) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-165)\/30*(-8)\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11107014 is divided by 107835?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66)\/(-11) - (1 - 1). Suppose 0 = -h*z + 3*z + 171. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let d(j) = 0*j + h*j - j. Let r(l) = 2*l + 6. Let b(x) = 4*x + 13. Let o(f) = -6*b(f) + 13*r(f). Calculate d(o(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511.69 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 1349?\nAnswer: -1348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*m + 66*m - 3220. Calculate the remainder when m is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -796086, -1592174, -2388262, -3184350?\n\"Answer: -796088*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 841?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0 = -0. Solve 6*w - 7*w + 2 = s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + 15125691?\nAnswer: 15125701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10480 and 27489040.\nAnswer: 27489040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + 130\/15)\/(3\/54). Solve 43*t + 15 = z*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2104020 (base 6) to base 2\nAnswer: -11000111001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143648156?\nAnswer: 2, 23, 1561393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(209)\/(sqrt(11)*-2).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1333 rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 + 18*g - 15. Does 3 divide z(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 3.9 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150932, 301852, 452770, 603686, 754600, 905512?\nAnswer: 1056422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1312*b**3 - 44440*b**2 - 52607228 wrt b.\nAnswer: -3936*b**2 - 88880*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 9. Suppose -3*y - o*z - 30 = -6*z, 20 = 5*z. Sort 0, 3, y in descending order.\nAnswer: 3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*4)\/((-10)\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 9) in base 2?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 + 128.1486. Let o = d - -0.84. Round o to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -468527311 - 0.1?\nAnswer: -468527311.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 1) + (-3)\/12*-12. Sort -1, 5, 1, d.\nAnswer: -1, d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-150) - 105\/((-110250)\/(-84))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.019325516 - -7.0195. Round v to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 2, 0 in descending order.\nAnswer: 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 0) + -28 + 12 - -19?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12*m**2 - 205*m - 22. Let o be q(-17). Put 1, -4, o in descending order.\nAnswer: 1, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y**2 + 49*y**2 - 10*y**2)*(-19 + 7 + 4) + (-2*y - 2 + 4 + 3*y)*(-y + 8 - 8) in the form x + a*y + h*y**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 16*b**2 + 5*b + 5. List the prime factors of j(-2).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u + 125 + 600 = 0. Let y = -2.8 - -3. Put u, y, 4, -1\/2 in decreasing order.\nAnswer: 4, y, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*s = 20, b - 5*s = 4 + 10. Find the third derivative of -379*g**4 + g**2 + 24*g**6 + 379*g**b wrt g.\nAnswer: 2880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1296854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 21. Suppose -2*i - 132 = -5*h, h - 5*i + v = 8. What is the remainder when 40 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-10)*235\/(-282))\/(-2))\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6 - 28*a**4 + 22*a**4 - 6*a**2 - 2*a**4 wrt a?\nAnswer: -192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/5805 and 32\/51771.\nAnswer: 100176885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 358404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (1 - -1) - 15) + (8 - 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**7*h*h)*h)\/(h\/h**0)*h**2*h**5*(h**(1\/14)\/h**(-3\/2))**(-1\/7) assuming h is positive.\nAnswer: h**(-11\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.37 + -3.47. Is o at most as big as 0.014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 0.12. Let g = r - -1.28. What is the third smallest value in -4\/9, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447, -869, -1303, -1761, -2255, -2797, -3399?\nAnswer: -4073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -4, 14, -45 in ascending order.\nAnswer: -45, -5, -4, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 divided by -1302904.\nAnswer: -107\/1302904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6300 = 23*o - 14*o. List the prime factors of o.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 36336*f**2 + 165038112*f.\nAnswer: 2*f*(f - 9084)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n + 123 + 5*n + 135 - 5*n - 54. Calculate a(41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 9, 3*i - 9 = 2*l - 3*l. Let h be 1*(i + -2 - -5). Solve -h*p + 0 = 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -618, -611, -604, -597?\n\"Answer: 7*u - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 5:50 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3594, 6969, 10342, 13713, 17082?\n\"Answer: -z**2 + 3378*z + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*n - 4 - 0, -5*c - 5*n = -45. Suppose 31 + 1 = c*i. Solve o - i = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7926826 is divided by 1132402?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4134 = -6*u + 19*u. What is the least common multiple of 14 and u?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 6 = 6*u. Suppose -u*v = -4*v + 8. Suppose -5*z + 1085 = 5*f, v*z + 5*f + 1085 = 9*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47350644 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6227851537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-3)*(4\/8)\/((5887\/(-58))\/(-29)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) - 88\/(-20). Suppose -u + 99 = 5*a. What is the highest common divisor of a and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 - -1 - (-5178 + 5145)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -7*o**2\/2 - 34*o + 16. Let m be u(-7). What is the derivative of -69*a**4 + 16 + 78*a**4 + m wrt a?\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685.681 years in decades?\nAnswer: 68.5681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 132, 170, 208, 246, 284, 322?\n\"Answer: 38*i + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3419 - 4483. Which is smaller: b or -1062?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147089*a - 73545*a - 73544*a - 1035*a**3.\nAnswer: -1035*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19.58 and -0.8871.\nAnswer: -20.4671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orx when three letters picked without replacement from xeovkker?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -122*v**2 - 21*v - 27. Determine z(-1).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 629 and 7668842.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3309 - -3085. Which is greater: -222 or t?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 29 = -3*o, -o - 2*a + 5 + 0 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*q - 10. Let u be (35\/7)\/((-1)\/14). Let n be (u\/25 - -2)*15\/(-6). Solve q*g - 10 = n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -11*t**3 - 22*t**2 - 149*t - 7. Let c(m) = -24*m**3 - 49*m**2 - 299*m - 15. Determine -4*c(b) + 9*x(b).\nAnswer: -3*b**3 - 2*b**2 - 145*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide (3\/((-270)\/20))\/((-2)\/33732)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -14539?\nAnswer: 14535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 194040.8km in meters?\nAnswer: 194040800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 7*a**3 - a**2 - a + 5. Does 13 divide r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**3 + 14*a**3 + 5*a**2 - 17*a**3 + (-50*a**2 + 6*a**2 - 35*a**2)*(0*a + 8*a - 4*a)*(-1 + 1 - 1) to c*a**2 + g*a + j + b*a**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 o when three letters picked without replacement from {o: 14, f: 1, m: 2}.\nAnswer: 91\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889 = 5*l - 3*s + 884, 4*l - 3*s = 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6501 + 4281.4.\nAnswer: -2219.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 985.2099ug in kilograms?\nAnswer: 0.0000009852099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/342672 and 131\/1584.\nAnswer: 1028016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10*15\/27. What is the nearest to -1 in 2\/5, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/3850)\/(2*(-1)\/(-10))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5 - 1123*p**4 - 419626*p**3\/3 - 5765750*p**2 + 3890625*p - 1953125\/3.\nAnswer: -(p + 125)**3*(3*p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -400 - -132?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6924 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 6*o - 2. Suppose -4*k = -3*h - k, k + 10 = 3*h. Determine j(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o + 2. Suppose x - 6*x - 10 = 0. Let j be 148\/(-28) + x\/(-7). Let u(a) = -7*a - 2. Determine j*v(c) - 4*u(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 3:36 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6247\/2 + -3062. Let q = -63 + p. Let c(o) = 48*o + 1349. Let m be c(-28). What is the closest to q in -0.1, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s + 0 + 0 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 + 49430*x - 494200 = 0. What is x?\nAnswer: 10, 49420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 0 + 685*g**4 - 12 + 20 + 4*g - 7 to the form n*g**3 + o*g**2 + c*g + m*g**4 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658363587 to the power of 1\/3, to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 485 or -255\/172?\nAnswer: -255\/172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*p + h + h, -2*h = -2. Let u = p + 2. What is the third derivative of -2*c**5 + c**2 + u*c**5 + 16*c - 16*c wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(245) + sqrt(245) + 4 - (-2 + sqrt(245) + -1)**2) + 0.\nAnswer: -248 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x**2 - 91762 + 91762.\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*j**3 + 3*j + 227*j**3 - 19 - 100*j**3.\nAnswer: -14*j**3 + 3*j - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -12*k**2 + 16*k - 14. What is m(2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 266\/3, -43, 3 in decreasing order.\nAnswer: 266\/3, 3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/16704 and -29\/104.\nAnswer: 217152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-3) - (-3)\/(-36)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 261.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*q + 2411011 = 2410366 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 - 4*d. Determine f(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Let h = 19 - z. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*o = 1107, -3*b + o = 65 - 1172. What is the tens digit of (0 - -4) + 5\/(15\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/107 or 0?\nAnswer: -31\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -526 + 0?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10729, -3, 13 in increasing order.\nAnswer: -3, 13, 10729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 8*j + 2. Calculate i(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**3 + 5*d**2 + 25*d - 12. Determine w(5).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(50)\/(sqrt(160) + sqrt(10)) + sqrt(5))**2*-4.\nAnswer: -484\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 5*j**2 + 2*j**2)*(2 - j**3 - 2) - j**5 + 0*j**2 + 0*j**2.\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -51*h - 6. Let s(w) = 51*w + 7. Determine 4*s(y) + 5*v(y).\nAnswer: -51*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -21.7. Let n = 0.07 - 3.07. Put n, 0.1, f in increasing order.\nAnswer: n, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 842, 554 in decreasing order.\nAnswer: 842, 554, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaasassksaksakass. Give prob of sequence sssk.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 10. Calculate p(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -q + 3*p, 0 = -q - q + 2*p. Suppose -q*j = -j + 2. Let a(y) = -y + 1. Let w(x) = -x - 7. Let r(f) = j*w(f) + 3*a(f). Determine r(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2286, 8551, 18796, 33021?\nAnswer: 51226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhfzfhzhh. Give prob of sequence hz.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 10*v - 16 - 10 = 0. Solve 3*a - 2*d + 4 = 6, -10 = -v*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.017988335 to five dps.\nAnswer: -1.01799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -48*v + 4*v**2 - 39*v + 5 - 45*v + 131*v + 2*v**2 + v**3. Determine u(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254 + 246 + 249 - 1002 + q + 253.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/240 and 113\/600?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 37514.\nAnswer: -37514.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 745326.0709 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*w - 4 = 0, 5*o + 4*w + 7 = 3*w. Let l be (1 - 2)*(o + 0). Suppose -g + 5 = -6. Solve 0 = -4*c + 2*n + 2*n + 24, c - g = l*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 6062*s + 235167. What is j(-39)?\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a**3 - 2*a + 13*a - 7*a - 2 - 2*a to o*a**2 + l + t*a + w*a**3 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 28. Let s = 45 - -6. Suppose -l = -5*o + 75, 3*o + 2*l = 7 + s. What is the highest common factor of o and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5642 - 2464*d - 1882 - 3835*d - 1883 - 1880)*(0 + 5 - 2).\nAnswer: -18897*d - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14571*h**3 - 535*h**2 - 20785676*h wrt h?\nAnswer: 87426*h - 1070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -20013861 bigger than -20013859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136416752.\nAnswer: 2, 1567, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10011100 (base 2) to base 9\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 145098954 divided by -6595407\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*m - 4*i + 5*i, -m + 4*i + 16 = 0. Suppose -30 = -m*a + 3*a. List the prime factors of ((-399)\/28)\/(a\/(-16)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-2 - -4 - 3). Let o be 6\/(-4 + 2)*1. Let f(n) = n**3 - 3*n**2 + 2*n - 2. Let u be f(2). Put u, o, w in ascending order.\nAnswer: o, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93439 + 59391 = 4495*y for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4*(21\/(-9) - -2). Let x(k) be the second derivative of s*k**4 + 1\/6*k**3 - 2*k + 0 + 0*k**2. Factor x(o).\nAnswer: o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6016*t**3 + 705*t**2 - 235. Let w(p) = -102*p**3 + 12*p**2 - 4. Calculate 8*k(f) - 470*w(f).\nAnswer: -188*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*y = -168*y + 112. Is -66*(-62)\/y - (-3)\/(-21) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 26. What is z(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25268 is divided by 631?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6 + 3 + p - 10. Let x(j) = j - 2. Suppose 0 + 3 = n. Calculate n*x(u) - 5*s(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.01, -1\/3, -0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184086 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-4 - -7)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*w**2 + 2*w.\nAnswer: 2*w*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -10*i - 7. Let f be v(-7). Suppose -11*r + f = 19. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -34*l**2 + 9*l + 91. Calculate t(3).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b - 2 = 0. Suppose 7*r = 22 + 28 - 36. Let q(l) = 56 - 34 - r + l - 4*l**b + 5*l**2. Determine q(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a951a (base 12) to base 5.\nAnswer: 24124104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3150002)\/(-3) + (-2)\/3. Round a to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 116\/(-120)*-4. What is the nearest to -3 in n, -0.4, -2\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -737*f**3 + 16*f - 68?\nAnswer: -4422*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 5 = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - a - 1. Let j(g) = g**2 - g - 1. Suppose 4*c = 0, -2*l + 5*c = -0*l - 4. Let h be (l + -1)\/(1\/(-3)). Let w = 2 + h. Calculate w*j(v) + i(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18\/54)\/((-1)\/(-1284)*2)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101239 divided by -859.\nAnswer: -101239\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -234 - -237. Find the third derivative of x*u**2 - 72*u**6 - 709*u**4 + 709*u**4 + 3*u**6 wrt u.\nAnswer: -8280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2026*s + 24283. Determine l(-12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-1 + sqrt(17) + 3 - -1*(sqrt(17) + -1))**2*5.\nAnswer: 20*sqrt(17) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2684840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 23*j + 18246 = 19086 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 72 + -62 + (-4 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -34, -5, -1, 2 in decreasing order.\nAnswer: 9, 2, -1, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**2 - 218*u - 88 = 0.\nAnswer: -2\/5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 173 (b) 5\/13 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - z - 12 = 0, -1 = 3*b + 3*z - 7*z. Let d be 138\/(-4)*(b + 150\/18). Let f = d + 51. Solve -3*l - 1 = w + 13, 30 = -f*l + 5*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -15*w**2 + 30*w. Let q(h) = -7*h**2 + 13*h. Let x(s) = 13*q(s) - 6*v(s). Let r be (-50)\/14 - 12\/28. Let d be -10 - (-2 - 4\/r). What is x(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, 1\/4, 1113, -8?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6)*-1 + (-20)\/(-3). Suppose 4*g + g = -h, -h + c = -g. Let w(k) = -2*k**2 + 10*k + 7. What is w(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -3) + 0\/2. Suppose f*m - i - 5 = 0, 2*m + 3*i - 7 = 11. Solve m*c - 3*v = 2*v + 24, -3*v = -c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*s - 6 - 16, 5*s = -3*h + 35. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -1\/4*d**4 - 6*d**2 - 4*d**3 - 6 - 7*d. Let r be g(-11). Sort -3, r, 1 in increasing order.\nAnswer: -3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-14))\/(15\/(-20)). Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 + 95. Suppose -80 = 3*u - 8*u + 5*t, l = 5*u + 5*t - 130. Suppose -u*o - 4390 = -31*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -202, 2, 4, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004592 rounded to seven decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 <= -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54342 - 18413 = 1705*f + 186*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 0.86, 74, -3 in ascending order.\nAnswer: -3, -4\/7, 0.86, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rff when three letters picked without replacement from {r: 9, f: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13809 (base 12) to base 16\nAnswer: -69c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/6309410 and 127\/280137804?\nAnswer: 1400689020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/11*50\/125?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 450690 divided by 2\nAnswer: 225345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -10.193172\nAnswer: 4.0772688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 4*d**2 + 2*d + 2. Let i be a(-4). Let t = 6 + i. Solve t*c = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -519*b - 101 + 495 + 125 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999006979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/72 and -2\/37327257.\nAnswer: 298618056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 4588475.\nAnswer: 4588475.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/11 and -45\/166.\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45.46 - 20.46. Which is the nearest to k? (a) 1\/3 (b) -1\/2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 6\/(-3))*4. Suppose -3*v - 4 = -r*v. Suppose 15*g = 13*g + v. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1422200 (base 5) to base 16\nAnswer: -73eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9*j - 4. Let y(a) = 29*a + 4. Let m(h) = -2*h + 1. Let u(w) = 5*m(w) + y(w). Give 9*o(x) + 4*u(x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 4*o - 4*o - 2*o + 8*o. Let s(h) = -4*h. What is 12*d(n) + 2*s(n)?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(-2*q**3 + 2*q**3 - 2*q**5) - 17871 + 98*q**5 + 17871.\nAnswer: 94*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 1345060 (c) -1\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20454292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 83. Suppose 3*n = m*n + 4*g - 30, 0 = -4*n - 2*g + 84. What is the lowest common multiple of -2 - (-4 - (-3 + n)) and 34?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 10563563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4.3. Let b(c) = 8*c**2 - 4*c - 11*c**3 + 17 - 5*c + 10*c**3. Let y be b(7). Sort 4\/5, a, y in decreasing order.\nAnswer: y, 4\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177533806 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 12*m + 97 = -9*t, 3*m + 0 = 4*m + 1 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110 (base 2) to base 5.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)*h)**31 assuming h is positive.\nAnswer: h**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 11 + 21. Let f be 0 + c\/4 + -3. Let w be -2*(2\/3)\/2. Put w, 2, f in ascending order.\nAnswer: w, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2131*i = -2120*i + 33 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000285745877 to 6 decimal places.\nAnswer: -0.000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.08 - -3. Let z = 0.2 + -0.42. Let t = z + n. Which is the second smallest value? (a) t (b) 2\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 16, -3, 2, -35 in increasing order.\nAnswer: -35, -3, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 59554665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s + 98. Let z be q(-14). Suppose 9*g + 20 = z*g. Solve -2 = -t + j - 1, -g*j = -2*t + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**3 - 1682*u**2 + 558*u - 1702. What is x(-561)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 291 + ((-27)\/(-6) + -5)*2. Let r = z + -251. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199041651?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5702000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v**3 - 38*v**3 + 23*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1270179?\nAnswer: 3, 141131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (530\/40)\/((-7)\/((-168)\/2)*(-9)\/(-3))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-123)\/7*147\/42*14. Let i = x - -1209. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1941.\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57181 - 160340. Let m = y + 324159. Round m to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i - 3712 = -18*i. Calculate the greatest common factor of 116 and i.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/40)\/(28*3\/60). Let k = -9.6 + 10. Sort a, -0.2, k, -0.3.\nAnswer: -0.3, -0.2, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-4)*6\/(-8)*216\/(-2511)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 3*r - 30, 3*t + r + 18 = -0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*g**3*h + 2*c*g**3 + 49350*c*g**2 - 11956*c*h - g**3*h with respect to h.\nAnswer: c*g**3 - 11956*c - g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93 and -1.5865.\nAnswer: -147.5445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1924 is divided by 84.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1062291 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -35. Suppose 2*o - o = m. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + l**2 - l - 1. Let s(w) = -3*w**3 + 2*w**2 - 3*w - 3. Let b(y) = s(y) - 2*z(y). Is b(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 2*z + 3*l, -2*z = -3*z + 2*l - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 981 - 980. Let t be (-7*n)\/(9\/((-252)\/91)). Determine a so that -t - 66\/13*a + 10\/13*a**2 = 0.\nAnswer: -2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.53? (a) -307\/12 (b) 3 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**8\/84 + 11*h**5\/60 - h**2 - 3*h. Let u(d) be the first derivative of m(d). What is the third derivative of u(a) wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a6 - -a5c6?\nAnswer: ac7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 15*g - 5. Let s(j) = -7*j - 2. Let a = -20 + 18. Let r(y) = a*k(y) + 5*s(y). Find the second derivative of r(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {l: 5, g: 3, b: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -255392 divided by 347\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n*u**3 - 27*n - 13*u**3 + 438*u**2 - 547 wrt u.\nAnswer: -6*n*u**2 - 39*u**2 + 876*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19166302121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, s: 2, z: 1, d: 1, r: 1, w: 4}. Give prob of sequence rdss.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8266 - -8275. Is t greater than or equal to 1599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - 2 - 72\/(-2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.4 - -19.399999703. Round z to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14717 divided by 83890?\nAnswer: -14717\/83890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**4 - 15*z**3 + 9*z**2 + 15*z - 12 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 91.22+-804\nAnswer: -712.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-315*t + 90*t - 349*t)*(-t**4 + 3*t**3 - 3*t**3).\nAnswer: 574*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 211922402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -589.6 + 590.1. Let w = -0.06 - 6.94. What is the third smallest value in w, -2\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 174009)*(15 + -16). Suppose 0 = 25*q - r - 2666. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 + 5482*l - 161758. Calculate j(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4))**(-33)\/(f**(-1\/7)\/(f\/f**(-9))))**(-29) assuming f is positive.\nAnswer: f**(-28855\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 60*h**2 + 80\/3*h + 55\/3*h**3 + 5\/3*h**4 - 320\/3 = 0. What is h?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {b: 2, h: 1, u: 1, i: 2, j: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-21))\/((8\/42)\/((-20)\/(-60)))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p + 4 = 0. Suppose 8 = u - 3*f, -32 = -4*u + 2*f + f. Solve 0 = -p*z - 0*z + u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71643950 to the nearest one hundred thousand.\nAnswer: 71600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-988)\/325)\/(-19))\/((-1)\/10).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154 - -261. What are the prime factors of x?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 3*a + 1. Let x(p) = 123*p**2 - 59*p + 1. Suppose -18*j = -24*j - 12. Let w(o) = j*q(o) + 2*x(o). Find the second derivative of w(t) wrt t.\nAnswer: 488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340 = 380*q - 210*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4811 - 1941. List the prime factors of m.\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*q, -t + 1 = 3*q + 13. Suppose t*f = -f + 21. Suppose f = b - 31. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 12)*(d + 3 - 5 + d).\nAnswer: 30*d - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55808113?\nAnswer: 919, 60727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-2)*(-3 + 3 + (3 - 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r**3 - 82*r**2 + 14*r + 13. Calculate z(10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/2*11*14\/462.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-700)\/(-5)*(-14)\/56.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(245) + sqrt(245)*-1)*-4)**2 - (1 + sqrt(5) + -1 - sqrt(45)\/(-1*sqrt(9)))) + 5.\nAnswer: -10*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141878.\nAnswer: 2, 11, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6105*l**2*u**4 - 11*l**2*u**2 + 890*l**2 + 2*u - 41 wrt u?\nAnswer: -73260*l**2*u**2 - 22*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 + 772*j**2 - 3136*j + 3152 = 0. Calculate j.\nAnswer: -197, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 less than or equal to 597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3 + (-20)\/(-8)). Suppose -4*h + p + 115 = 0, -y*h + 5*p - 55 = -3*h. What is the highest common divisor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 5*f**2 + 4*f - 3. Let y(o) = o**3 - 5*o**2 + 3*o - 4. Let d(n) = -2*q(n) + 3*y(n). Calculate d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*n + 6. Let d = -8 + n. Suppose p + 5*m - 26 = 0, 2*m - 17 = -2*p - m. Put p, -1, d in descending order.\nAnswer: p, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121212120 (base 3) in base 11?\nAnswer: 9272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 131*j**2 - 290*j + 4125. Determine y(129).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3335 and 3611.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 29. Let d be (-173)\/g*2\/(-60). Let n = -9\/38 + d. Which is bigger: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert dd1 (base 16) to base 10.\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, z: 1, l: 4, t: 1, y: 3, e: 1}. What is prob of picking 1 y, 1 l, 1 e, and 1 t?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2207985 and 3484?\nAnswer: 8831940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 335 = 3*a + z, -3*a - 2*z = -319. Suppose -a = -0*w - 3*w + 2*m, 3*m = -3*w + 99. Calculate the highest common factor of 21 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2514 (base 7) to base 8\nAnswer: -1656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10675)\/((6\/34)\/3). Let c = t + 103475. What is c rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -11. Suppose z + 2*s - 6 = 3*z, 0 = -2*z + 4*s - u. Solve 3*d + z = -11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u = 28*u - 5*y - 29, 6*u - 5*y + 5 = -29 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8904*r. Let x(p) = 25*p - 24. Let s(v) = -13*v + 12. Let w(j) = 4*s(j) + 2*x(j). Determine c(w(d)).\nAnswer: -17808*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27627 divided by -3?\nAnswer: -9209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7a3d (base 15) to base 14\nAnswer: 9645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 4*r - 47. What is y(8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006029 to six dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8052696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/20 - (-4)\/20. Solve 0 = -m*l - 9 + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3298 + 5342. List the prime factors of m.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d + 18811 = 184*d - 7915. Solve d = -4*u + 138 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 f when four letters picked without replacement from {a: 7, f: 7}?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73 + 12 - 20 - 2*f to v*f + i and give i.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, i: 1, v: 4, n: 1}. What is prob of picking 1 v and 3 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9288\/32459 - -2\/4637. Sort a, 1, 3.36 in ascending order.\nAnswer: a, 1, 3.36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8317 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00172443105 to five dps.\nAnswer: 0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -2*p - 1728. Let t = -290 + p. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949 is divided by 252.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35941 - -7?\nAnswer: 35948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20293961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/29 - (364480\/9367 - 39).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 25\/(-4)) + 7\/(-60)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 10*k - 13. Let u(s) = -s**2 - 14*s - 8. Let g be u(k). Solve -12 = 3*m - 2*p, -2*m = -0*m + 3*p - g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6048*q + 572*q + 1816*q + 1882*q in the form x + h*q and give h.\nAnswer: 10318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772365439?\nAnswer: 29, 347, 76753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**2 + 3*k**2 + k**2 + (-2 + 3 - 2)*(k**2 + 1 - 1) - 16*k**2 - 4*k**2 + 13*k**2 to the form q + a*k**2 + y*k and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b)**(5\/2)\/(b**(-7)\/(b**(-7)\/b*b)))**(-1\/58) assuming b is positive.\nAnswer: b**(-15\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*d + 64*d + 83 = 2043 for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38272 and 26208.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -198677888?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7692.\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 18*f**2 + 2*f + 1. Let h be d(-1). Suppose l - q - 24 = -6*q, l = -3*q + 18. Calculate the remainder when (h\/3)\/(2\/12) is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 9. Let g = -8 - -13. Suppose -6*k + 2*k = 3*j + 32, -g*k - 25 = 0. What is the units digit of c(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 940*x**3 - 941*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m - 93 = 0. Suppose -w = -b + m + 76, -419 = -4*b - 5*w. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*y - 5*f - 364 + 464 = 0, -2*y + 5*f = 79 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/19024751 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 69 = -g. Let p = g - -13. Let i be (4\/10)\/((-2)\/p). Sort 3, i, -2 in increasing order.\nAnswer: -2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.77, -0.4, -0.3 in increasing order.\nAnswer: -0.4, -0.3, -0.1, 0.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/10)\/((-10122)\/(-10110) - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81868150193 + 1218\nAnswer: 81868151411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25860 and 2470?\nAnswer: 6387420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22806?\nAnswer: 2, 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64, -231, -398?\n\"Answer: -167*w + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55757 + -1?\nAnswer: 55756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -212205?\nAnswer: 212204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*l**2 - 223*l**2 - 214*l**2 + 656*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*g - 27 = 0, 27*g - 31*g = -3*j - 2 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/42 and -41\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*1*5\/(-10). Put 48, 2, -1, s in decreasing order.\nAnswer: 48, s, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*t - 519, t = 6*f - f + 147. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 55 - 53 = -3*w, -3*r - 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 223 = -543. Is 3872\/g + (-3)\/(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147077, 147098, 147133, 147182, 147245, 147322?\nAnswer: 147413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*w - 368*w - 184*w + 1566*w + 2.\nAnswer: 733*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z + 10 = -49*z. Let o(m) = 4*m - 3*m**2 + 13 - 11 - m**2 + 5*m**z. What is o(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.69 - -1.68. Let m = y + -1.39. Let w = -0.6 - 0.4. What is the closest to w in 0.05, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3991.29866 and -0.2.\nAnswer: -798.259732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 8 + 28 - 8*u + 11*u.\nAnswer: 3*u + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771399 is divided by 192820?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 14 (b) 0.2 (c) -603\/2 (d) 4\/3 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -332 - -334. Let v(u) be the second derivative of u**4\/12 - 224*u. Calculate v(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/18)\/((-28)\/(-126))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - (-2 - -5) - 4. Suppose h = 4*w + 18 - 82. Let m(x) = 25*x + 13. Let k be m(3). What is the greatest common divisor of k and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -861*t**2 + 3525*t + 45229916 wrt t.\nAnswer: -1722*t + 3525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -365221 - -365222. What is s in -2\/3*s - 1\/3*s**2 + c = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = 4*w - y, -w - 4*y + 6 = 0. Let a(q) = 3700000*q**2 - q - 2. Let n be a(w). Round n to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, u: 2, q: 3, y: 6, o: 1}. Give prob of picking 1 o and 2 y.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1150 divided by 5\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1853998\nAnswer: -1\/1853998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/4 + 4841633*r\/2 + 23441410106689\/4 = 0. Calculate r.\nAnswer: -4841633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxcwwcnwconww. What is prob of sequence no?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-3 + (-6)\/(-2)). Suppose 4*j + 7 + 15 = -2*n, x = 2*n - 2*j. What is the tens digit of 16 - (-1*6)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 21640450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**31*r)\/r)*r**(3\/22)*(r**(-12))**(4\/17))**(-46) assuming r is positive.\nAnswer: r**(289777\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 425534 - -3?\nAnswer: 425540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49124*n - 284043.\nAnswer: 49124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7636 = -12*i + 16*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 + 28*c**3 - 8*c**3.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 < -24350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158898099\/2 + -554872085773\/6984. Let y = b + 2\/873. What is the common denominator of -103\/12 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -1398.68.\nAnswer: 27.9736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2788 or 25090\/9?\nAnswer: 2788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from lujhjjlllyljyjlyluxy.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-4)\/(-12)*3. Let n be b + -288003*(-2)\/3. What is n rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111001101110100000 - -1?\nAnswer: -10111001101110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqeeeqeeqeqeeeeeqe. What is prob of sequence eqqe?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 10*c + 16 = 0. Let n be c\/2 + (0 - (-2)\/2). Suppose t + 20 = 2*j, -2*t - 2*t = n*j - 8. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.075?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008 divided by -6?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 10\/(-6) - 480\/(-2016)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = 473*x + 6*a - 862, 12*x + 46 = -0*x + 7*x - 4*a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2. Let u(k) = -30*k. Give u(m(o)).\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k + 20*k - 7*k)*(0 + 6*k - 3 + 7) - k**2 - 3*k + 3*k as n*k**2 + t + w*k and give w.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11903627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -515.44010314 take away 7?\nAnswer: -522.44010314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - n + 11190005, -3*n - 6301620 = h - 706635. What is h rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -884, 374 in decreasing order.\nAnswer: 374, 1, -884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2512 + -4?\nAnswer: -2516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 1 - 6. Let k(v) = v**3 + v**2 + 2. Let h be k(-2). Let w be (h\/(-3))\/((-2)\/3). Which is the biggest value? (a) -0.2 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 5.2 (c) 7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - l = -995, 3*k + 16*l - 21*l - 1460 = 0. Calculate the smallest common multiple of k and 66.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 0.74. Let d = h - -0.34. Round d to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(1\/3)\/j)\/j**(-4))**46*(j*j*j**(-1)*j)**(18\/5)\/(j**(2\/7))**(-42) assuming j is positive.\nAnswer: j**(4658\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 50*h - 139*h = -1416708. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)\/(j\/(j*j**5)))\/((j*j**(-5)\/j)\/j*j**(-1)) assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -530*j**4 - 349*j**2.\nAnswer: -12720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 86515 * -0.2\nAnswer: -17303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**5\/20 + 3*y**4\/4 - y**3\/6 + 6*y**2 - y. Let i be k(9). Let p be ((-26)\/(-6) - i)*-3. Which is smaller: -15\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 251*j + 218*j + 1 + 231*j - 733*j as v*j + c and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 2*r - 93 + 92, -5 = 5*a - 2*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-15) - 2) + 3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 - 6.4. Let u = -0.2 + 1.2. Which is the closest to u? (a) 2\/5 (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o. Suppose -7*b + 15*b - 504 = 0. Let f(v) = -51*v**2 - 21*v - 21. Let g(n) = -5*n**2 - 2*n - 2. Let h(q) = b*g(q) - 6*f(q). Give h(s(u)).\nAnswer: -225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2150 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) -16 (c) 0.4 (d) -0.1 (e) -23 (f) 3885\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 800.4 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 34 = -3*h, -2*v + 4*h = -26 + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -458452?\nAnswer: 458449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b - b**3 + 2 - 5*b - 2 to the form f*b**2 + w*b + v*b**3 + q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z*z)**1)**(-2\/79)\/((((z**6\/z*z)\/z)\/z**(2\/5))\/((z\/z**5)\/(z*z**(-2\/15)))) assuming z is positive.\nAnswer: z**(-11248\/1185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11974270 a multiple of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + 4*(sqrt(152) - -2*sqrt(152)) - sqrt(152) - sqrt(152))\/(2*sqrt(800)) + -1 + (3 + sqrt(2736) + 2 + 3 + -1*sqrt(2736))**2.\nAnswer: 11*sqrt(19)\/20 + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 4818.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 608.09 - 608. Let g = 3\/74 - -133\/370. Put t, g, 1\/2 in increasing order.\nAnswer: t, g, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-210*j - 284*j + 408*j)*(3 - 5 - 2*j + 0) as g*j + x*j**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -990 = -2236*s + 2126*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -6 - -3 - 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 110\/9 - 4\/18. Let t be 2\/8 + 69\/d. Suppose 1110 = t*z + 318. What is the highest common factor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/(-66)*(-58)\/(-203) - (-4)\/42\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4768721 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -199, -5.\nAnswer: -199, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14518 divided by -34.\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 5, w: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 9557.6 to the nearest one hundred.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14127.\nAnswer: 3, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -49*(63450\/(-882))\/(-141)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**4\/4 + h**3\/3 + h**2\/2 + 3*h. Suppose -2*f = -17 - 5. Suppose -2*o = g + f, g - 21 = 2*g + 4*o. Calculate m(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 2*k - k + 2*k - 2*k + (4 - 2 - 4)*(3 - 3 - 2*k) - k + 5*k - 2*k + 182*k + 157*k - 6*k in the form z*k + v and give z.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 = -5*h, 7*h - 3*h = -3*a - 14. Let d = 5016 - 4814. List the prime factors of (h\/(-4))\/(3 + d\/(-68)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1156, -2311, -3466?\nAnswer: -4621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18055 (base 9) to base 15.\nAnswer: -3a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.09, 0.2, -1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 - -0.05. What is the third biggest value in -4, 0, 1\/8, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -135. Let o = l - -87.0000041. Round o to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12404945 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 + -6 - (-7 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -597\/1697 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*v - 20 = 43*v. Is 11222\/62 - (1*-2)\/v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*l**2 + 26*h**2 - 6*h*l**2 - 8*h*l - 12481*l**2 + 70*l - 2 wrt l?\nAnswer: 4*h**2 - 12*h - 24962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2020.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 19 (b) -0.4 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 3*a**4\/4 + a**3\/6 - 915*a**2. What is u(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**7*h)\/h)\/(h**12*h)*(h**(1\/3))**(-4) assuming h is positive.\nAnswer: h**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 1 + 14 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -124605*m - 92207706. Give p(-740).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 1238. Let w(n) = -n**2. What is w(h(z))?\nAnswer: -z**2 + 2476*z - 1532644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -79, -99, -83, -19, 105, 301, 581?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33262173.\nAnswer: 3, 7, 97, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 885 and 1159328465.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**2\/k)*k*k))\/(k**11*k*k))**(-2\/87) assuming k is positive.\nAnswer: k**(28\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 239.902 from -0.5.\nAnswer: -240.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -80, -765, -1450, -2135, -2820?\n\"Answer: -685*c + 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 0.041\nAnswer: 0.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 647, 2642, 5985, 10676, 16715, 24102?\n\"Answer: 674*i**2 - 27*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5\/11 + 30212*h**4\/11 - 1374856*h**3\/11 + 14347878*h**2\/11 - 1916671*h + 8080150\/11 = 0. What is h?\nAnswer: 2\/3, 1, 13, 31, 10025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-3) - 512\/(-48). Suppose 6*l = i*l - 18123. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 6*a + 12)*(-10 - 5 - 5) to the form n + x*a and give x.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1106971 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167.1 - -24.1. Let u = j + 143.0000067. Round u to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2835 + -2832. What is the third biggest value in 8, s, 1\/44, -0.5?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {z: 2, h: 1, c: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 863319.2 millennia to years.\nAnswer: 863319200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 6*l + 10. Determine j(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.93038t to micrograms.\nAnswer: 33930380000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.006 or 69.76?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 8. Let o = 1 - m. Suppose 3*c + c - o = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 + 46*p**2 + 216*p + 28. Calculate c(27).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/((-37)\/185*15\/51)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654663897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/42*1*-9.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 805659947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + 6*(sqrt(833) + -2)**2 - (0 + sqrt(833) + -4).\nAnswer: -168*sqrt(17) + 5026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -1, 5\/8, 0.5, -30\/23?\nAnswer: -30\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 46, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.082? (a) -0.18 (b) -1\/6 (c) 0.052 (d) 0.2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34179 in 0.4, 0.31, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 1:55 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 5*z - 2. Let s(i) = i**3 + 14*i**2 - 2*i - 24. Suppose -1 = -d + 8. Suppose -d*v - 126 = -0*v. Let y be s(v). Calculate b(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1133 divided by 5\nAnswer: -1133\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*f - 279 = -249 + 750 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*((3 - 5) + 4). Solve i*f + 14 = -2*l, -l - 4*f - 18 = -6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*d - 13*d - 8*d)*(-468*d**3 - 12*d**3 + 123*d**3 + 92*d**3)*(2 + 2 - 3).\nAnswer: 10070*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, g: 9}. Give prob of sequence gm.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/13, -181.76109 in increasing order.\nAnswer: -181.76109, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = d + 2 - 1, -3*d - 18 = 3*q. Sort -1, -2, d.\nAnswer: d, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 5*b + 4*b + 17, 7*j - 2*b = 26 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/8 and (-9)\/15 + ((-4244)\/660 - -7).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166 - 37. What are the prime factors of z?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 5. Let u be (-56)\/(-35) + 1053\/195. Calculate j(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313, -549, -951, -1525, -2277, -3213?\nAnswer: -4339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q**3 - 6*q**2 + 9*q + 15. Let f(p) = 15*p**3 + 11*p**2 - 17*p - 28. Let x(d) = -6*f(d) - 11*y(d). Let t(c) = -1. Calculate t(b) + x(b).\nAnswer: -2*b**3 + 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**4\/2 + 4*u**3 - 12*u**2 + 16*u - 6. Solve d(v) = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 11 = -3*t + 42, -2*t + 10 = -2*q. What is the fourth biggest value in 0, 2\/15, 2\/17, t, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 7:12 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 2*c + 5. Let u(w) = -7*w**3 + 34*w**2 + 6*w - 2. Let l be u(5). Let r(t) = -3*t**2 - 4*t + 9. Calculate l*r(s) - 5*f(s).\nAnswer: s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/54)\/((51\/9)\/17)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, 6, -591\/5 in decreasing order.\nAnswer: 6, 3\/11, -591\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-8) - -3) + 35\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -71027, -142059, -213091, -284123, -355155?\n\"Answer: -71032*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.473452 rounded to 3 dps?\nAnswer: -3.473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2716 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 474*l**2. Let j(w) = 3*w + 12. Let x(p) = 7*p + 30. Let v(g) = -10*j(g) + 4*x(g). Give m(v(c)).\nAnswer: 1896*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 y when three letters picked without replacement from yvrywywsy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -23, -2\/49?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -373 or -3168?\nAnswer: -3168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53 - 336*j**2 - 1519 - 2*j + 418 with respect to j.\nAnswer: -672*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**4\/6 - 1629*t - 1. Let w(b) = -2382*b. Calculate w(v(u)).\nAnswer: 4764*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 6 - j - 7)*(2*j - 4*j + j).\nAnswer: j**2 - 41*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + (-66 - 85) + 50?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 5, -4\/11, -1.2 in decreasing order.\nAnswer: 5, 2, -4\/11, -1, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4191756.17 rounded to the nearest ten thousand?\nAnswer: 4190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50828174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(4 - 2)\/2. Let q be (4\/3)\/(f\/(-3)). Is q*5 + (-1 - -1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**23))\/g**(-42)*(g*g**(-1\/31)\/g)\/(g**(-30)\/g) assuming g is positive.\nAnswer: g**(1549\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146320?\nAnswer: 2, 5, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 5416.\nAnswer: 59576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*d + 1 = 0, 58*d + 45 = -5*i + 53*d for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2247, -2254, -2255, -2250, -2239, -2222?\n\"Answer: 3*o**2 - 16*o - 2234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4732 (base 8) to base 5.\nAnswer: 40042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-3 - (-20)\/8). Let s(z) = -z - 3. Let f be s(-5). Let r(c) = 2 + p*c - f. Let y(l) = -l. Calculate y(r(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + -1*3\/1. Suppose 0 = -o*w - h - 153, h = -h - 10. Is (-6)\/(1\/(w\/4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43923 is divided by 90.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1645154 and 145\/14806386.\nAnswer: 14806386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-2\/9)\/j*j*j*j)\/(((j*((j\/(j\/j**(-1)))\/j)\/j)\/j)\/j)*((j\/(j**0\/j))\/j)**(-17\/3))**21 assuming j is positive.\nAnswer: j**(133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5829)\/(-48807) + (-3)\/(495\/10)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**6\/120 + n**4\/24 - 5*n**3\/6 - 7*n**2 + 1. What is w(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 135 or 133?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5\/7 + 1176*c**4 - 1613472*c**3 + 737894528*c**2.\nAnswer: -2*c**2*(c - 1372)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**2 + 296*d - 292 = 0.\nAnswer: 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 0 + q + 8 + (0*q - q - q)*(-2 + 1 + 3) + (1 + 0 - 5)*(-3*q - 4*q + 19*q).\nAnswer: -51*q + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 - -604\/7. Which is the biggest value? (a) 1\/6 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 7*p = -12. Suppose p = -2*z - b, 4*z = -0*z - 5*b - 20. What is the second derivative of -4*y**2 + y - 7*y**3 + 4*y**2 + z*y**2 wrt y?\nAnswer: -42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4622138717.\nAnswer: 7, 7177, 92003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 69 = 4*z, 3*y + 206 = -2*z + 219 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 542109, 542106, 542103, 542100, 542097?\nAnswer: 542094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 64, 101, 140, 181, 224, 269?\n\"Answer: x**2 + 32*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-8)*q\/(q*q*q**(-12)*q))\/((q\/q**8*q)\/q**(1\/3)))**(-1\/40) assuming q is positive.\nAnswer: q**(-79\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*n + 373*n = -1056 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*r, v + 5 = -v + 3*r. Suppose 4*c + 6*l - 10 = 4*l, v*l - 10 = 0. Find the first derivative of c + 2*a - 3*a - 3 + 4 wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20241467.\nAnswer: 1483, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -12345*b**2. Let m(y) = -4*y**2. Calculate m(h(u)).\nAnswer: -609596100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 71 = -6. Let f(a) = 13*a**2 + 29 - 29*a + l*a**2 - 11*a**2. Is f(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (11 - (2 + 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94508 or -94509?\nAnswer: -94508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50, -213, -492, -893, -1422, -2085?\n\"Answer: -j**3 - 52*j**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7702 - 7698. Which is the nearest to 2\/7? (a) -3 (b) t (c) 0.1 (d) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38017539.\nAnswer: 3, 7, 201151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -577 - -570. Is 47 a factor of (2256\/(-28))\/(2\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3466?\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h**5 - 8*h**5 - 6*h**5)*(53 - 26 - 17).\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 5. Sort -0.2, -2\/5, -3\/5, q in increasing order.\nAnswer: q, -3\/5, -2\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61662035 - 1829.\nAnswer: -61663864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + s**2 + (s**2 - s**2 - 4*s**2)*(1 + 1 - 1) - 5*s**2 + 6*s**2 + 4*s**2 - s.\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(45\/(-8)))\/(6\/9). Solve 0 = -2*q + v*q + 4*n - 14, 5 = 5*q + 4*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/178689 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 9:35 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from {p: 5, l: 2, w: 2, a: 3, s: 2, r: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.92859506 + -112.37012941. Let x = u + 0.44157335. Let l = x + 95. Round l to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1782.1 + 2014. Let r = 232 - u. What is the second smallest value in 3\/5, r, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7212 divided by -17191\nAnswer: 7212\/17191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - m**2 + 3*m - 3. Let n be u(2). Let t = n - 14. Let k(f) = f**3 + 8*f**2 + 2*f - 10. What is the remainder when 48 is divided by k(t)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.035 and -5823.\nAnswer: 203.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 82\/(-3157)*55*(-21)\/8. Suppose 3\/4*h**2 + 9\/2*h + n = 0. Calculate h.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:51 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3 - 1) + (-22 - -16) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.8589566 rounded to 2 dps?\nAnswer: 26.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2198 + -456. Calculate the highest common divisor of 52 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21323 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/14 + 100\/(-350).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108*g**2 - 82*g**6 - 4*g**4 + 2*g**4 + 21*g + 111*g**2 wrt g.\nAnswer: -9840*g**3 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 4*i**2 + 4*i + 2. Let r be n(-2). Let g = -169 - -169.1. Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.95 + -0.05. Let t = -0.0079 + 0.0079. Sort 4, k, t.\nAnswer: k, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*v + 227 + 224, 0 = -5*i + 3*v + 2268. Suppose 5*s - s = 12. Suppose -2*p = 3*d - i, -5*d + s*p + 739 = p. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 8*x + 8. Let y be l(-11). Calculate the greatest common divisor of y and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -590846 + 4?\nAnswer: -590842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 284526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-20) + 13\/5. Suppose -4*h = -3*h. Suppose h = -0*a - a + 10. Solve 0 = c*u + 5 + a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1078)\/35 + 4*3\/15. Let p = -44 - -15. Is p < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*g = f - 101996, 4*g + 76496 = 3*f. Suppose 0*q - 5*q - f = 0. Round q to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22398 (base 14) in base 13?\nAnswer: -2ba4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4561897*h + 4561901*h - 9123809*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 97*j**3 + 12*j**2 - 11*j - 39. Let k be b(3). What is the highest common divisor of k and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 b, and 1 a when three letters picked without replacement from {z: 1, b: 1, a: 1, j: 2, h: 1, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -105*u - 29. Let d(m) = -159*m - 42. Determine 5*d(c) - 8*w(c).\nAnswer: 45*c + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 41.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 1\/7, -1\/5, 0, -51, 0.66?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -221*c**2. Let d(n) = 169685*n. Calculate m(d(t)).\nAnswer: -6363252828725*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69595038.\nAnswer: 2, 3, 429599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3502 = -8*h + 4666. What is the remainder when h is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(36\/(-8))\/3. Let n be (-30)\/2*j\/(-18). Let h(x) = 7*x - 11. What is the remainder when h(n) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 43*q - 89. Let x be c(2). Sort 4, x, 103, -4.\nAnswer: -4, x, 4, 103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 41610 = 8601. List the prime factors of g.\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9028000 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -515345?\nAnswer: -515351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 11. Let u(n) = -n**3 + 12*n**2 + 2*n + 18. Calculate the remainder when u(12) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -261 + 307. What is the nearest to 0.1 in -5, 5, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (127\/2286)\/((-6)\/(-108))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 3, s: 13}. Give prob of sequence ps.\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 265, 1048, 2353, 4180?\n\"Answer: 261*x**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(4 - 4 + 2*g)*(g + 3*g**4 - g).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 4, -2, -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 699400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 2086087 - 373360. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16444492939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-138)\/230 + (-16)\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19 + 954\/48 + 2\/16. What is the greatest common factor of y and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 123, -2\/171?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -30*p - 30494. Let j(x) = -22*x - 22871. Give 11*j(h) - 8*y(h).\nAnswer: -2*h - 7629","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69121963.\nAnswer: 69121963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3 = -2*g - 5*f, 3*g = 2*f - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47718 + 47717. Suppose 0 = 2*b + b. What is the nearest to b in y, 7, 2, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -18, -47, -58, -45, -2?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1014, -2053, -3092, -4131?\nAnswer: -5170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 40231.74 weeks?\nAnswer: 6758932.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1072 (b) 0.3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 595762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 2*v - 4*v**2 + 5*v**2 - 3*v)*(-17023 + 27787 - 13478).\nAnswer: 2714*v**3 - 2714*v**2 + 2714*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.47 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*230\/15)\/((-202)\/(-303))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122 + 1222222?\nAnswer: 1221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3194, 6331, 9424, 12491, 15550, 18619, 21716, 24859?\nAnswer: 28066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 101 = 1. Suppose v - 29 = 5*j, 0*j - c = -2*v - j. Suppose 2*q - 70 = 2*m, 4*q + q - 2*m - 190 = 0. What is the remainder when q is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**3 + 0 + 3*m**3 + 0.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q - 229 = j, 4466*q - 4461*q = 2*j + 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/((-342)\/5985).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -12*r - 18*r + 386 - 386. Let o(l) = -17*l**2. Calculate o(g(p)).\nAnswer: -15300*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -6)*(4\/22 + (-90)\/132). Let x(h) = -h - 6. Let z be x(-4). Let m = -19\/2 + 175\/18. What is the nearest to i in 1\/8, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -663*v**4\/4 + 237*v - 804. What is the first derivative of n(l) wrt l?\nAnswer: -1989*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 837348*o + 175287918276.\nAnswer: (o + 418674)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3938279 kilograms to tonnes.\nAnswer: 0.0003938279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1445)\/(-170))\/(((-2)\/1)\/(-136)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101*u**4 - 4*u**3 + 3*u**2 - 189 wrt u?\nAnswer: -2424*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38919 - -56596. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h*r**2*y**2 + 11*h*r**2 + 2*h*r*y - r**2*y**3 + 3*r*y**3 + 4*r*y wrt r?\nAnswer: -12*h*y**2 + 22*h - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 9:19 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13046, -26090, -39134, -52178, -65222?\n\"Answer: -13044*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**2 + 25. Let w(v) = 6*v**2. What is w(b(t))?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*u = -3*u + 26*u. What is the closest to -7 in -7, u, 2\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 28 - 28)*(-1 + 1 + 1)*(4 + 5 + 0).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13076.\nAnswer: 2, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -8091910?\nAnswer: 8091915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wot when three letters picked without replacement from tow.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*s + 60 - 132, -3*b + 2*s = -84. Suppose -13*w + b = 26. Solve w = 97*p - 102*p + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/56 and 85\/6847344.\nAnswer: 6847344","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 61 = -4*a, -3*b - 18 = -a + 4. What is the remainder when 817 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 10203.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -6*x + 13 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2632*w**2*z**2 - 31*w**2*z + 9*w**2 - 1906*w + 4*z - 7 wrt z?\nAnswer: -5264*w**2*z - 31*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 - 0.2. Let z = -153 - -78. Let g = 524\/7 + z. Sort f, 1, g in ascending order.\nAnswer: f, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 78 = 2*a, 3*o - 175*a = -172*a + 78 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 8 + 0 = 5*t, 2*d + 16 = 3*t. Let n = d + 15\/2. Let m be (-4)\/30*(-5)\/4. Which is the smallest value? (a) -5 (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 2*b + 0 - 1 - b**2. Let f(u) = 3*u**2 + 13*u - 2. Suppose -21*a = 22 - 64. Let n(k) = a*l(k) - f(k). What is the second derivative of n(h) wrt h?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/(-7425))\/((-64)\/(-36)).\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-11)\/33)\/(1*1\/(-9)). Let l = -34 + 33.8. What is the nearest to -2\/3 in -14, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 122666429 or 122666431?\nAnswer: 122666431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, s: 7, u: 5}. What is prob of sequence uuts?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/33*3\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 131*d - 8. Let t be n(6). Suppose 3*g = -5*k + t, k = 4*k + 3*g - 468. Suppose -o + k = -2*w, o = 2*w + w + 152. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 take away -33435258?\nAnswer: 33435258.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*l**2 + 786*l + 5 + 54*l**2 - 786*l.\nAnswer: -7*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-28)*h)**41 assuming h is positive.\nAnswer: h**(-1107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 - 5*z + 4. What is the smallest common multiple of p(2) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18980 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6*n**2 - 1)*(-2 + 1 + 4)*(-2 - 7 + 6) in the form d + p*n + x*n**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3 = 2*p, -5*f = -1 + 16. Suppose 2*h - 9 + p = 0. Suppose -j = 4*c - 2, h*c + 2*j + j = 6. Solve -s - 2 = -c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1367*t - 88594 + 13030 = 1259*t - 527*t for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**2 - 285*q - 295. Calculate i(58).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k - 13248 = -778*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2562*j**4*y + j**4 + 5*j**3*y + 2*j**3 + 46*j**2*y - 51*j**2 - 1 wrt j?\nAnswer: 61488*j*y + 24*j + 30*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -9368570.87?\nAnswer: 9368570.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 782638 (base 9) in base 2?\nAnswer: 1110010001101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 10*g**2 - 7*g - 12. Calculate h(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 6*u + 5. Let m(o) = -3*o**2 - 7*o - 6. Determine -4*m(h) - 5*t(h).\nAnswer: 2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 r when four letters picked without replacement from drmmmmddmd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 + (-27)\/2. Let d be (-6)\/(-8)*(50\/2 + 3). Let n = a + d. Calculate the highest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 426*s + 65415. Determine y(-314).\nAnswer: 1987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58544 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minus -0.3?\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -81. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -14*z**3 - 24*z**2 + 40*z + 107. Give r(-3).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113\/2025 or 0?\nAnswer: -113\/2025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 234 - 231. Let q be (-18)\/24*40\/(-6) - p. Solve 0 = u - 2*x - 8, q*u + 0*x - 2*x - 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - j - 383, 5*q - 510 = q + 2*j. Let z(o) = 2*o**2 + 240*o - 1856. Let d be z(-128). Calculate the highest common divisor of q and d.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 * 2.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.54 + -11.533841. Round z to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28862.\nAnswer: 2, 14431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(176) + -1 + -2 + sqrt(176)*2 + sqrt(176))**2 - (-1 + sqrt(55)\/(3*sqrt(5)))*-2.\nAnswer: -94*sqrt(11)\/3 + 2815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -4 (b) -5 (c) 4\/61 (d) 0.07 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -651.7408 to zero dps.\nAnswer: -652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2269748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -33*x**2\/2 + 5*x - 297. Let q(g) = -16*g + 2. Give -2*i(a) + 5*q(a).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7764353 to the power of 1\/2, to the nearest integer?\nAnswer: 2786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52994*d - 53127*d + 1197 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(6\/5))\/c**(-7) assuming c is positive.\nAnswer: c**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 374011*a**2 - 47. Let k(i) = -2*i**2. What is n(k(b))?\nAnswer: 1496044*b**4 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62008 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8588914?\nAnswer: 2, 4294457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4135634 to the power of 1\/2, to the nearest integer?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 9*f + 7. Let q be n(11). Let d = -14 + q. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 6087725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 2*p + 7*p. Let s(g) be the first derivative of -g**5\/60 - 4*g**3\/3 - 1. Let w(y) be the third derivative of s(y). Give k(w(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5 - 106*a**4 + 2922*a**3 + 106*a**2 - 2920*a = 0.\nAnswer: -73, -1, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2095 - 0.32.\nAnswer: -2095.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-3*l**4 + 3*l**4 + l**5) - 4*l + 4*l - 2*l**5 + (-l**4 + 6*l**4 + 5*l**4)*(2*l + 0 + 0) - l**5 + 0*l**5 + 0*l**5.\nAnswer: 19*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8699413 and 0.4?\nAnswer: -3479765.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 + 38*w**3 + 13*w - 13*w.\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5869*d - 17620. Give z(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((91\/13)\/7)\/((-26)\/10*-1)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0374157 rounded to 3 dps?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -800*t**3 + 1191 wrt t?\nAnswer: -2400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1109*d - 1514. What is the tens digit of x(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1203005, 2406003, 3608987, 4811951, 6014889, 7217795, 8420663?\nAnswer: 9623487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrchehhqtrqcteqqec. Give prob of sequence rqhq.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*y + 112*y + 165*y)*(2*y**2 + 0 + 0).\nAnswer: 422*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -l + 3*g + 31, 221*g + 1097 = 61*l - 63*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + (-150 - -85) + 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -38*u. Let w(p) = -2*p**2 - 6*p - 26. Determine w(a(h)).\nAnswer: -2888*h**2 + 228*h - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - y + 10. What is the remainder when x(0) is divided by 10\/(-3)*(12 - (-345)\/(-25))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777582\/35 != 107931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*n + n**2 - 2*n**3 - n**4 - 14*n - 1 - n**2 to m*n**4 + x*n**3 + o*n + l + w*n**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*w + 203*w + 150 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 1, v: 3, a: 1, n: 1}. What is prob of picking 1 a and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -4*y - 54. Suppose -2*v - 47 = -5*g, 0 = g + 4*v - y. Suppose 0*f + 15*f - 45 = 0. Calculate the lowest common multiple of f and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-3)\/6)*-2. Suppose 0 = -n*m - l - 4*l + 23, 25 = 5*m - 5*l. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2686.65376 to the nearest 10.\nAnswer: -2690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - j - 9263, 5*j + 7721 + 3869 = 5*w. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 1 - (56 + 27 + -11 + -6 + -3).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 386567 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -11716*u - 2. Let o be v(2). Let z = -163434 - o. What is z rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3 + 57070 - 57070 + 38*s**2 - 2903*s wrt s?\nAnswer: 6*s + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 13*y = -24. Suppose -t - 7\/2*t**y + 0 = 0. What is t?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 264 - 2091 + 990*s**3 + 39*s**3 wrt s.\nAnswer: 3087*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*s + 426*s + 289*s - 1270*s + 284*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjassssaasau. Give prob of picking 1 g and 1 u.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.289 - 343.289. Let r = -345 - u. Let i = -1\/471 + 959\/8007. Which is the closest to -1? (a) r (b) i (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.306 - 2310956.04\nAnswer: -2310948.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-27)*(-3 + 0) - 280\/1260?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332, -1340, -3024, -5384, -8420?\nAnswer: -12132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2 + 623792.\nAnswer: 623793.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, 0, -0.2, -5\/6, 0.63, 9\/10?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/24 and -113\/229128.\nAnswer: 229128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 2 (c) -1 (d) -1311 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (1 + -2)) + -25 + -13 + 19 + 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at most -30395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 21*z = 5904. Let l = 5929 - z. What is l rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -33.1. Let q(h) = -2*h - 8. Let p be q(-6). Let i be 9\/(-3)*(3 - (1 + 1)). What is the third biggest value in i, p, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 60*v**3 + 303*v**2 - 87*v - 503. Give l(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -465461?\nAnswer: 465462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**5\/20 - 7*b**4\/12 - 11*b**3\/6 - 29*b**2\/2 + 2*b. Is 15 a factor of n(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -403411 bigger than -403402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 9*u + 2. Let l be -18*(0 + 1\/2). Calculate t(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 775*m**2 - 281 with respect to m.\nAnswer: 1550*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-329*h + 4 - 4)*(-1 + 3 + 2)*(-h + h + h) to the form z + k*h + y*h**2 and give y.\nAnswer: -1316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -33128 divided by -4\nAnswer: 8282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. Let s(y) = -y**2 + 10*y - 20. Let m be s(i). Solve -h - m = -3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -40, 29, 0.04, 0.2, -30, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 0.05, -3 in descending order.\nAnswer: 0.05, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 9*u**5\/4 + 31*u**4\/4 - 6*u**2 + 14*u + 2. Factor i(d).\nAnswer: 3*(d + 2)*(3*d - 1)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (687997 + -1 + -2)\/(-29 - -31) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-1)\/2 - 0). Suppose 0 = a*p + p - 57. What is the remainder when p is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/(-10) + (-6)\/15. Let o(g) = -g**3 - 2*g**2 + 3*g + 2. Let s = -11 + 8. Let v be o(s). Put -4, n, v in decreasing order.\nAnswer: v, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2479, -19712, -66479, -157546, -307679, -531644, -844207?\nAnswer: -1260134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t - 24. What is q(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39\/253 or 1?\nAnswer: 39\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29105 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06170421 and -3?\nAnswer: 2.93829579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20477 - -38146. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p + 2. Let w be (-16 - -16 - -2) + (-12)\/2. Let n(t) = 5*t. Let o(c) = -10*c - 1. Let d(j) = -5*n(j) - 2*o(j). What is w*d(x) + 3*u(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**17\/(f*f**(22\/3)\/f))\/(f**(1\/4))**41 assuming f is positive.\nAnswer: f**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a tonne in kilograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 3*m + 9, -4*o + m = 18 - 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.9 - 3. Let b = 6 - 7. Let r be 5 - ((-37)\/7 - -10). What is the nearest to p in 1\/6, r, b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*d + 289 - 134 - 27*d**2 - 156.\nAnswer: -27*d**2 + 250*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 + -197. What are the prime factors of (a - 3)*2\/(-4)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -121*r**7\/280 + 11*r**6\/120 + 12*r**5\/5 - 9*r**4\/2 + 49*r**3\/3 + 61. Let z(b) be the third derivative of q(b). Factor z(o).\nAnswer: -3*(o + 1)*(11*o - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 3*o**2 - 2*o**2 + (-13*o + 2*o + 2*o)*(0 + 2 + 0 - 3*o).\nAnswer: 26*o**2 - 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -822*s - 8 = -820*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -2, 1, -230444, -8 in increasing order.\nAnswer: -230444, -8, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21530*(-4)\/(-8))\/1. Let t = i - -215397\/20. Calculate the common denominator of t and 245\/12 - 1\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 13*p + 1. Let b be d(-13). Does 15 divide (-4)\/2 + (92\/b - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (650 + -12)*312\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24438689027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 82 = -3*q, 2*q + 4*b - 17 - 31 = 0. Suppose 4*o - 1 = 99. Calculate the remainder when o is divided by ((-1)\/(-1))\/(2\/q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 191. Suppose -d = 2*d. Is q(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/1 - (-9 + 38). Let v be (-18 - (-76)\/4)*-2. Which is greater: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -190, -173, -124, -19, 166?\n\"Answer: 4*s**3 - 8*s**2 + 13*s - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -569064*n - 1707199. Calculate f(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 + 3)\/(6\/(-4)). Suppose -3*l = 2*l + 80. Let a = 25 + l. Solve r + t*r = a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*(-6)\/(-24)*4\/(-35). What is the nearest to 0.1 in z, -4\/9, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14\/53 + 552\/2491. Let k = 2\/43 - -35\/172. Which is smaller: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 2*g**2 - 4*g - 3. Let y = -136 - -132. What is v(y)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-5))\/i**9*(i\/i**(1\/2))**(-18\/5))**36 assuming i is positive.\nAnswer: i**(-684\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -436 + 3922\/9. Suppose -2*q - 3*q + 15 = 0. Suppose 10 = q*p + v, -4*p - v + 0 = -13. Which is the nearest to 1\/3? (a) u (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/703?\nAnswer: 9\/703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -299205, -299207, -299209, -299211, -299213?\n\"Answer: -2*n - 299203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 62528.46 centimeters?\nAnswer: 625.2846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/(-1*(-2)\/(-1)). Let v(w) = i*w - 8*w - 8*w. Let c(j) = -j + 0 + 0. Calculate c(v(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y. Let t(w) = w. Let s = -236 - -238. Give s*p(n) - 5*t(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 4*o - 42 + 34, 31 = -5*a + 51*o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/35 - (-12)\/4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -60*y + 73. What is c(5)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187018*n = 185613*n - 118020 for n.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 222865\/1838826 + -32\/2761. Find the common denominator of -65\/8 and s.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7 - 2280\/56. Let l = -28 - h. Suppose -n = -l - 27. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 7*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1207 - 1203. Suppose -c - c = -8. Suppose 3*d - o*w = 829, -2*d + 346 + 208 = -c*w. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3132 + 3127. Let m = 2.1 - 2. Which is the nearest to 1\/2? (a) m (b) r (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -543, -1093, -1655, -2235, -2839, -3473?\nAnswer: -4143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 3*m**2 + 29*m - 5. Let s be x(7). Which is the third biggest value? (a) s (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*x = -2, -18*j = -17*j - x - 3. Solve -j*z = 30*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 1 + 46 + 9 + -3. Let d be (-3630)\/q + -1*2\/5. Let c = d + 186. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)*x*x**6)**(-12\/5))**31 assuming x is positive.\nAnswer: x**(-744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1680144 divided by -6\nAnswer: 280024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 354*d**3 + 13*d**2 - 15*d - 13. Let q(z) = 177*z**3 + 6*z**2 - 7*z - 6. Calculate 6*k(t) - 13*q(t).\nAnswer: -177*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -211bb - 3?\nAnswer: -21202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/5080 and 27\/2540.\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:47 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 91551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-10)\/6 + 1). Solve -m*p + 7*p = 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1230.78 - 1151.01. Let o = -2573.699 - c. Let n = 192 + o. Round n to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117281000 rounded to the nearest 1000000?\nAnswer: -117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**3\/2 + 294*o**2 - 7689*o\/2 - 128880 = 0.\nAnswer: -15, 32, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**3 - 2*k**2 - k + 1. Let m be j(-1). Let a(v) = v**3 + 7*v**2 - 9*v + 4. What is the remainder when a(m) is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 4*m + 3*o, 0 = 639*m - 620*m - 4*o - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 72*r**3 + 24307995*r**2 + 49628529*r + 2025654 = 0. What is r?\nAnswer: -337609, -2, -1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 9. Let q be (3 + -2 + 1)*-2. Calculate z(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(7\/2)\/p*p)\/p)\/(p**(-8\/9)\/p) assuming p is positive.\nAnswer: p**(79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 43725332?\nAnswer: -43725329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11*b - 30. Let t(d) = -10*d + 27. Give 5*q(c) + 6*t(c).\nAnswer: -5*c + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t - 79. Give a(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 - 6*f**2 + 272*f + 90*f + 68 + 12*f = 0.\nAnswer: -2\/3, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/2*(-2178)\/1936*(-80)\/24.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.6, -7, 3, -0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1184.1 + 1184. Let g(y) = y**2 + 14*y + 47. Let t be g(-7). What is the nearest to s in 0, 2\/17, -6\/7, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 32 + 8. Suppose h*x = -1 + 9. What is the second derivative of -16*f**5 + x*f**5 - 2*f + 6*f wrt f?\nAnswer: -280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q + 220. Let m be c(6). Calculate the greatest common factor of m and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 12:54 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = -f - 1, 2*l - 3 = f. Let y be f + 17 - 3 - -2. Suppose 2*o + y - 19 = 0. Solve -5*x = 8 + 7, -6 = o*p + 3*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 12*q - 19. Solve -q*y + 21 = 3*u + 3, -4*y - 5*u = -32 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-10 + 5)) + -5 + -77 + 34.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 17*r - 7. Calculate x(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - ((-2714)\/345 + ((-1104)\/180 - -6))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(6\/10)\/(57\/(-38)). Let m(c) be the third derivative of -c**4\/6 + 17*c**3\/3 + 15*c**2. Let g be m(7). Solve w*n = -0*n + g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 29, -12, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 4789 + 1250. List the prime factors of g.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3. Let k = -0.2 + 0.2. Let g = k - d. Which is the second smallest value? (a) 2\/11 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 - (-1191)\/(-24)) + (-3)\/8. Let u = -76 - -45. Let k = u - r. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -749 = -9*x + 8*x - 5*a, 0 = -a + 4. What is the greatest common factor of x and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*q + 57*q - 5*x - 29440 = 0, 4*x + 7360 = q. What are the prime factors of q?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**3 - 2*l**2 + 2*l + 1. Let k be a(-4). Suppose 3*b = 5*b - k. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 b when four letters picked without replacement from beeebeeb.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21374, -21470, -21566?\n\"Answer: -96*j - 21278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 5. Suppose -1 = -2*t + 1. Let i(q) = -q. Let c(h) = t*i(h) - d(h). Suppose 4*f + 22 = 5*k, 3*k + 6 = -3*f + 3. What is c(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 172 and -175.488.\nAnswer: -3.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1230, 1365, 1630, 2025?\nAnswer: 2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24210543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 19*j - 2 = 23*j, -2*w = 4*j + 6. Let u(y) = -y**2 + 15*y - 45. Let i be u(10). Which is the third smallest value? (a) 3\/4 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23892491 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.233513 rounded to three dps?\nAnswer: 1.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1312 divided by -22\nAnswer: 656\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -264 and -36114404.\nAnswer: -36114668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a second in milliseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 14 + -4 - (11 - (9 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -t + 4*v + 14, -5*v = 25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13224033 (base 5) in base 12?\nAnswer: 64b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14465934 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -1*52 - (1 - 2). Let g(c) = o*c + 54 - 3*c - 10 + 9. Is g(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*t + 118*t = -140*t. Let i(r) be the first derivative of -2*r - 6 + t*r**2 + 10\/3*r**3. What is the first derivative of i(p) wrt p?\nAnswer: 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(8 + (2 - 3)). Let s(q) = 20*q - 1. Let g(t) = 10*t. Let h(y) = l*g(y) + 3*s(y). Let c be h(-1). Put 3, c, -1 in descending order.\nAnswer: c, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*r - 9, -2*t + r - 5*r - 4 = 0. Suppose 2*q - t = -0. Differentiate -3 - 5*w**q + w**4 + 2 wrt w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 502, 5, 3 in decreasing order.\nAnswer: 502, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -8. Let y = -1.7 - u. Let l be (-9)\/(-6)*4\/42. What is the smallest value in 1, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20416 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 648851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.2 + 3.8. Suppose 3*f = 4*r - 17, 0*f = -5*r + 5*f + 25. What is the second biggest value in r, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*m - 33, 6*m - 11*m - 135 = -5*h. Let d be (-104)\/(-32) - (-6)\/m. Solve -d*z + 0 + 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, r: 4}. What is prob of picking 2 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112411.\nAnswer: 13, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 11:55 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2\/9*x**3 - 20000\/3*x + 200\/3*x**2 + 2000000\/9 = 0.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.82962 millilitres in litres?\nAnswer: 0.07482962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 10, c: 1, s: 1, u: 4}. What is prob of sequence cs?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 3*l = 936. Let k(j) = 3*j + 5. What is the remainder when l is divided by k(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - i + i + (-3 + 5 + 1)*(21*i - 4*i - i))*(-i**3 + 0*i**3 + 4*i**3)*(-5 + 2*i + 2 + 5).\nAnswer: 312*i**5 + 312*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 534955387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1 - f**2 + 1. Let u be (14\/(-28))\/((-2)\/36). Let r(n) = 4*n + 3*n - u*n + 5*n. Give r(h(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 15 = -0*h. Let u = 34 - -1. Let p = h + u. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/3 (b) 0 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6621 (b) 0.2 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(35\/(-63)) - -1168?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10222122120221 (base 3) in base 15?\nAnswer: 2bcc54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 2\/31 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-28))\/((-24)\/(-7680)*-30)?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 401477 by -1.\nAnswer: -401477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1044 is divided by 226.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 2*r**2 - r**2)*(r**2 - 2*r**2 + 7*r**2) + (-28564*r - 45*r**3 + 28564*r - 2)*(2*r + r - 4*r).\nAnswer: 33*r**4 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 385743*q**2 - 32854?\nAnswer: 771486*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*y - 22, -3*q + 175 - 187 = 3*y. Let s(z) = 10*z - 3. Let v(p) = p - 1. Give y*s(d) - 4*v(d).\nAnswer: 6*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 345 + -246. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*t - 17, 3*i - i + 20 = 4*t. Let d = -461\/5 - -92. Which is bigger: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 1 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.05+0.44\nAnswer: 0.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 4*g + 193 - 181, -23*t + 3*g + 77 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2. Let q = -155 + 154. Let z(d) = 7*d**5 + 2*d**2 + 16*d. Let c(i) = q*z(i) + 2*b(i). Find the second derivative of c(w) wrt w.\nAnswer: -140*w**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**3 - 8*y + 11*y**3 - 3*y**3 wrt y?\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 2222 (c) -5 (d) -6\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 45. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-68*(-126)\/10710*(1*2)\/(-4)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19386 divided by -9\nAnswer: 2154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:51 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101100001011000001 (base 2) in base 5?\nAnswer: -221423421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {o: 9, i: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 4, c: 6, j: 10}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/11)\/(f*f**14\/f*f))\/(f\/(f*(f*f**18\/f*f)\/f)*f*f**(-3)*f) assuming f is positive.\nAnswer: f**(46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 11848*c. Let a(n) = -14*n. Calculate z(a(m)).\nAnswer: -165872*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.06 and -563175.\nAnswer: -563175.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -40.4. What is the biggest value in 57, i, -1?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 454.280572 + -713.27993. Let j = 259 + l. Round j to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 - 65 = 12*u. Let m be ((-2)\/5)\/(2\/(-5)). Let s be 1\/((-12)\/(-10) - 1). Solve s*l + u + m = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**6\/30 - 2033*y**5\/5 - 4133089*y**4\/2 - 16805139874*y**3\/3 + 1716*y**2. Let t(c) = 0. Calculate c.\nAnswer: -2033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 17 = -1. Let s be (0\/l + -2)*(-20)\/(-8). Let o(v) = -2*v**2 - 14*v - 11. What is the remainder when 9 is divided by o(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**3 - 2*b**2 + 2. Let y(i) be the second derivative of -i**4\/12 + i**2\/2 - 13*i. Calculate -2*o(s) + 4*y(s).\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (35\/21 - -1)\/(2\/12). Let c = o + -17. Put c, -3, 61 in decreasing order.\nAnswer: 61, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-3)\/(23*14\/322)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3052, -450, 2156, 4766?\nAnswer: 7380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 5. Let j(b) = -b - 4. Let u = 3 + -2. Let r(w) = -w. Let v be r(u). Let h = 8 + v. What is h*j(x) - 6*f(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121854 and 21001272?\nAnswer: 5298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 233808095 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 7:34 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -449484251*x**3 + 64*x**2 + 3375*x + 7?\nAnswer: -2696905506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/6*3\/(-2). Let f(w) = w + 10. Let a be f(r). Suppose a*g = 3*g - 33. Calculate the highest common factor of g and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35182.7 rounded to the nearest one hundred?\nAnswer: -35200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -148 or -149?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)\/c*c)**(-22)*((c*c**(-1\/12))\/c*c)\/c*c**(-1\/3)*(c\/c**(-5)*c**(1\/3))\/(c*c**(-6)\/c*c*c**0) assuming c is positive.\nAnswer: c**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029209933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -3*v + 5*d, -11 = -v - 34*d + 35*d for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-15))\/(11*(-13)\/(-77220)). Calculate the greatest common factor of 108 and a.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)*y\/y**(-15) assuming y is positive.\nAnswer: y**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 659, 960, 1513, 2318, 3375, 4684, 6245?\nAnswer: 8058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2. Let v(k) be the second derivative of -7*k**4\/6 - k. Determine v(m(n)).\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 28 = -28. Let r = -0.043 + 0.543. Let x = r + -0.43. What is the closest to 0 in v, -2, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/2)\/(1 + -2). Let u = -21.98 - -0.48. Let s = u - -22. What is the smallest value in 1, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -5, -1\/2, 46?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2. Let h(b) = -4*b**3 - 2*b + 1. Let d be h(1). Let s be 6 + (-5 - d)\/5. Let c(v) = -2159 + 2159 - s*v. Calculate c(q(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/256243 - 100982013\/256243. Let j = -394 - r. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -22*u - 195. Let w be y(-11). Let l(t) = -8*t + 13 - 11*t**2 + 46*t**3 - w*t**3 + 2. Calculate l(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10262 - -10262. Let i = 2 + -1.8. What is the nearest to u in i, -1\/4, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 156420 - -113?\nAnswer: 156533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ffnnffnffoofo.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkiikii. What is prob of picking 2 i and 1 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -412\/33 - -174\/11. Which is the closest to 1? (a) -3 (b) -2\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39\/20 - 81\/80. Let q = 11\/16 - u. Put q, 0.19, 5 in descending order.\nAnswer: 5, 0.19, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/(11\/22). Suppose 3*d - 972 = 2*b, o*b + 648 = 2*d + b. Suppose -5*c = -2*x + 324, -x + 4*c + d = x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkkbbkkcbbkccbbbk. What is prob of picking 2 b?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4006123, 8012248, 12018373, 16024498, 20030623, 24036748?\n\"Answer: 4006125*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 484577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-105) + 126\/945 - 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (13 + -2 + -27)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58.499 + 9.729. Let z = 49 + s. Let w = 0.3 - z. What is w rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/9)\/((-100)\/120). Which is the nearest to j? (a) 9 (b) 1 (c) -3\/2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -1938\/61?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 - -1. Let h = -122 + -18. Let p = h - -142. Which is the closest to -2\/7? (a) 0.17 (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((13 + 4*y - 13)*(0 - 5 + 4) - 3*y + 4*y + y)*((4 - 4 + 2)*(-1 + 0 - 1) + 5 - 4 + 1 + 5 - 4 - 2 + 1 + 2 - 1 + 0 + 0 - 4 + 2 - 1 + 0).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163368?\nAnswer: 2, 3, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + 0 + 6 + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**3 - 2*n**3 + 4*n**3)*(-73 + 76339*n + 153 + 5524*n + 27408*n - 80) as c*n**4 + k*n + s*n**2 + y + j*n**3 and give c.\nAnswer: -109271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -383*a**2 + 3*a + 3. Give d(-1).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 724 and 165796.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 0 - ((122 - 56) + (-3 - 19)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d + 90 + 63*d - 91.\nAnswer: 36*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + 34 - 752\/(-24)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39.04 - 39.099. Do w and -1\/14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*m - 1 - 24*m - 1)*(-120*m - 18*m - 32*m) + (0*m + m - 2*m)*(-2*m + m + 0*m) to z*m**2 + k + l*m and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(2299) + -1 + -1 + sqrt(2299))*-5)**2.\nAnswer: -5500*sqrt(19) + 1436975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -247.51 * -17\nAnswer: 4207.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*f - 8 = -22, -7*p - 2003 + 1954 = -4*f for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.06966.\nAnswer: 0.55728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -172 + 346. List the prime factors of k.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23042149 to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23701 is divided by 950.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3846 + 3854 - (-1 + (1 - 3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7))**30\/(n**(1\/4)\/n)**(-4)*(n**0)**(1\/9)\/(n**0)**(-46) assuming n is positive.\nAnswer: n**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**5 - s - 7*s**5 - 7*s - 13*s**5 wrt s.\nAnswer: -320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*d - 483*d - 10 = -i, 5*d - 43 = 2*i for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94929*n - 34154*n - 95632*n.\nAnswer: -224715*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8135 - -1036?\nAnswer: 10172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474225?\nAnswer: 3, 5, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*t**2 + 188*t**2 - 184*t**2 + 780.\nAnswer: 169*t**2 + 780","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4279)\/(-59906)*(-1)\/(-2)*35.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2530)\/(-138)*7\/77?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022104 (base 5) in base 8?\nAnswer: -136424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 3:34 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**2\/7 + 7027724*v\/7 - 13051584 = 0.\nAnswer: -1756944, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3 = -t, 3*t + 42 - 84 = -2*h. What is the greatest common divisor of 588 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*a - 11, 3*a - 4*a + 2*p = 11. Let t be 5\/((-30)\/9)*(-2960)\/24. Let l = -185 + t. Sort a, 4, l in descending order.\nAnswer: 4, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -593560 divided by 59356?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10710)\/(-89964) + ((-8)\/(-14))\/(-2). Let l = -5 - -4.6. Which is the second smallest value? (a) -3\/5 (b) l (c) s (d) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*m = -19, 3*y - 2*m + 4*m = -13. Let l(k) = -13*k**2 + 2*k + 1. What is l(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 15, 15, 13, 9?\n\"Answer: -i**2 + 5*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (3 - -9)) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nff when three letters picked without replacement from ddmdfmfnd?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j + j - 6336 = 0. What is the remainder when j is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -59*x**3 + 11*x**2 + 59*x + 131. What is d(-5)?\nAnswer: 7486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i = 159 - 54 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - r**2 + 107 + r + 5 + 199*r**3.\nAnswer: 199*r**3 - r**2 + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 4*y**2 + 3*y + 23. Let r(o) = o**3 + 12*o**2 + 5*o + 46. Determine 5*f(h) - 3*r(h).\nAnswer: 2*h**3 - 16*h**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 + 31 - -16 - -56?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + 2)*(-3)\/(-3). Suppose -b*f = -z, -3*z + 85 = 5*f + 5. Calculate the least common multiple of 14*(-1 + 3 + -1) and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5365 + -2)*1)\/(81\/(-54)). Suppose a = 16*q + 58. What is the remainder when q is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4\/4 - 4*q**3\/3 + 9*q**2\/2 - 4*q - 412. Calculate i(4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 13464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36.026 - -36. Let j = g - -40.026. Let r = j + -62. Is 0.1 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 2*q, 68*q + 2*z - 5 = 67*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 37, 2, 3, 9, 0, 2\/9 in descending order.\nAnswer: 37, 9, 3, 2, 2\/9, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/27*31391 - (7 + (-650)\/90) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130367\/84 + -9325\/6. Find the common denominator of (-335)\/240 + 1\/4 and p.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1172920 - -0.03?\nAnswer: -1172919.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 49 = 3*h, 5*p - 250 = -2*h - 234. Solve h*r - 54 = 4*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(120) + sqrt(120))\/sqrt(6))\/(sqrt(144)*2*-1).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 18329955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(243)*-2 + -1 + -1*3*(4 + sqrt(243)).\nAnswer: -45*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 29 = -u - 22, -2*t + 2 = -4*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(567)*-1)**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -19. Which is bigger: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 + 29*q**2 + 19*q - 36. What is the remainder when k(14) is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 1 = -p, -7 = -5*h - 2*p. Solve 5*w + 11 - h = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19846 + 19847. Let p(r) = -42*r**3 + 18*r**2 + 18*r + 18. Let w(m) = m**3 - m**2 - m - 1. Give f*p(b) + 18*w(b).\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/975 + 1\/75. Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*(-9)\/((-765)\/10).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.6690539 centuries?\nAnswer: 6.690539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvuuhhhuuhvuh. Give prob of picking 3 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25301243332 - 5?\nAnswer: -25301243341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*f = -9 - 3, 2*y = f + 5. Let h be 30\/8*1\/y. Let h*b**4 + 0*b - 4*b**3 + 25\/4*b**5 + 0 + b**2 = 0. Calculate b.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36757759939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {g: 3, u: 7, a: 3, z: 3, c: 2}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2, 0*j - 2*o - 3 = -5*j. Suppose -3*v + 1 = 4. Let b be 0 + 1 - 1\/v. Solve -3*d = -3*m, 4*d - 5 - j = b*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -13653702?\nAnswer: -13653705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 15, q: 5}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b24 + 13?\nAnswer: b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 30*z**2 + 65*z - 30. Let s be d(32). Put 0, 5, s in decreasing order.\nAnswer: 5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1, -8, -19, -32, -47?\n\"Answer: -g**2 - 6*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 826*a + 33182. Calculate s(-40).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 + 14\/8. Suppose -10*p - 88 = -12*p. Suppose -h + k - y = -2*k, -p = -4*h - k. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.7 - -0.3. Let p = 62 - j. Let t = 34.067 - p. What is t rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41459718523 - -2001260613309583\/48270. Let n = a + -1\/1609. What is the common denominator of 40\/100 - 89*(-6)\/(-160) and n?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 3, l: 5, d: 3, s: 1}. What is prob of sequence zh?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81958, -164047, -246136, -328225?\nAnswer: -410314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*(sqrt(2) - (sqrt(2) - sqrt(10)\/(sqrt(15)\/sqrt(3)))**2)*2.\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -37*u + 34*u. Let q(a) = -a**3 + a**2 + a. Let x(b) = -14*b**3 + 4*b**2 + 4*b. Calculate u*x(k) - 4*q(k).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {p: 1, w: 1, e: 1, f: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 113029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.229127 from 11.\nAnswer: 10.770873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/28)\/((a\/(a*a*a**(1\/34)))\/a) assuming a is positive.\nAnswer: a**(949\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128821 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*67 - ((-10)\/(-3) - (-180)\/270). Solve 165*y + u = 174*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 340 and 1768.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 16, a: 2}. What is prob of picking 1 n and 1 a?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.169 and 1987.\nAnswer: -10270.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5627665459470 less than 0?\nAnswer: -5627665459470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let g(d) = -50*d**2 + 15. Let r(v) = -25*v**2 - 4*v + 11. Let p(w) = -w + 1. Let k(o) = 4*p(o) - r(o). Let f(b) = -6*g(b) - 13*k(b). Give f(a(n)).\nAnswer: -25*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1089\/65 + -83\/5. Which is the closest to 0.05? (a) 1\/4 (b) s (c) -0.5 (d) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2327046, 2326969, 2326892?\n\"Answer: -77*j + 2327123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-31)*(-180420)\/(-9700)\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47252.\nAnswer: 2, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 12) to base 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczzzjzljjc. Give prob of picking 1 l and 1 z.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 40*b**2 + 78*b - 77. What is z(-38)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 - 4*p - 2. Let o(q) = 8*q**2 + 8*q + 4. Let w(x) = -9*l(x) - 4*o(x). Suppose 8*i + 14 = 3*a + 3*i, -3*a = -4*i - 10. Is w(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 4*s + 2. Let g be i(-2). Let q be (1 + (-4)\/4)*1. Let n = g + q. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 2. Let c(z) = -4*z - 5. Let i(a) = 2*c(a) - 5*x(a). Let t(m) be the first derivative of 3*m**2\/2 + 289. Determine i(t(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45738 is divided by 217?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n + 141. Determine f(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -33*v**3 - v**2 - 2*v - 2. Let w(z) = 4*z**2 - 3*z + 1. What is the remainder when g(-1) is divided by w(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 406, 1\/9, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5128*z + 16 + 5128*z + 5 - 14*z**2 + 4*z**2.\nAnswer: -10*z**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224951.094 + 225219. Let n = -267.8529998 + d. Let q = n + -0.053. What is q rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -378 + -4?\nAnswer: -37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmwwmmwwmmmmmmm. Give prob of sequence mmww.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 13*r + 432 = -r for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 805, 317, -503, -1661, -3163, -5015, -7223, -9793?\n\"Answer: -s**3 - 160*s**2 - s + 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 886 + -884. Suppose 7 = -x - 2*q, 5*x = 3*q + 13 - 35. Let i = x + 11. Solve -k*p = 4*l - i, -2*p + 6*l - 12 = l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 320 - 1188 = 4*u, -823 = -q - 5*u. Calculate the greatest common divisor of q and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 77142.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0, 127, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2213345, -2213347, -2213349?\nAnswer: -2213351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.052339, -0.5 in ascending order.\nAnswer: -0.5, -0.2, 0.052339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(2) + 2)*2)**2 + sqrt(72)*6 + sqrt(2)).\nAnswer: 72 + 159*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -11*l + 9*l. Suppose o = 75 + l. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 13 = 4*z. Let j(i) = 7*i**2 + i. Let b(f) = -3*f**2. Let c(w) = z*j(w) - 5*b(w). Find the second derivative of c(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1573) + (sqrt(1573) - -2*sqrt(1573)) + sqrt(1573) + sqrt(1573))**2.\nAnswer: -264*sqrt(13) + 56632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 29 (c) 0.1 (d) -1\/664\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 13. Let w be -4 - (3 + -5)*1. What is the closest to w in -2\/19, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3227 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 3 + 3 + 9*u**3 - 18.\nAnswer: 9*u**3 + 4*u - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - m**2 + 4. Let u = 12 - 12. Let d be z(u). Suppose -x = -d*x + 6. Solve -x = -s - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.036 and -715?\nAnswer: -25.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14*3*(-4)\/24. Suppose 5*k + 3*c + 39 = 0, 2*k = 5*k + 2*c + 23. Let m = k - w. Sort m, 5, -5 in increasing order.\nAnswer: -5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**3*l)\/l)\/l)\/(l**(-1\/12)*l)*(l\/l**(-2\/5))\/(l**(1\/4)*l))\/(l*l\/(l**(-13)*l)*l**9)**(-36) assuming l is positive.\nAnswer: l**(24877\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2))**(1\/6))**(-28\/9)*(n**(-7)\/(n*n**(4\/5)))\/(n**(-4)*n**5) assuming n is positive.\nAnswer: n**(-1358\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = 3*j - 5*n - 16, -2*j - 4*n = -14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 16. Let f(b) = 2*b - 7. Let j be f(5). Find the third derivative of 2*s**2 - s**2 - 5*s**2 + 8*s**g - j*s**4 wrt s.\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*f + 5*u, -5*u = -2*f - 2*f + 63. Let v(m) = 3*m + 10. What is the tens digit of v(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 4*b + 0*b)*(3*b - 2*b + b) + 62*b**2 - 35*b**2 - 34*b**2 + (2*b - 2*b + b)*(-94*b - 72 + 72).\nAnswer: -97*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11.918 times -30308\nAnswer: -361210.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + 1150*p + 39608. What is n(-345)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0416 - 0.064. Round y to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -907524, 13, -1 in ascending order.\nAnswer: -907524, -1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 89*r**6\/60 - 515*r**3\/6 + 492*r**2. Differentiate x(o) with respect to o.\nAnswer: 534*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/33 (b) 5 (c) -12 (d) -0.4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*k = -7*k + 17, 3*k - 15 = 0. Let w = -6 - c. Solve 3*t = -w*t - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h - 13. Let c(j) = -j - 3. Let z(o) = 9*c(o) - 2*l(o). Calculate the remainder when z(7) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 19*f - 17. Give u(4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25143161?\nAnswer: 151, 269, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5087079?\nAnswer: 3, 19, 71, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*w + 2*x, w - 5*w + 60 = 3*x. Suppose 0*g + w = 4*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 + 41 = 5*z. Is (291\/15)\/(((-18)\/z)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2. Let x(z) be the third derivative of -4*z**4\/3 + 65*z**2. Give m(x(s)).\nAnswer: -2048*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91403318 is divided by 208208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (-9)\/(54\/(-30)). Solve t = -o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*i - 27, -2*r + 42 = -16*i + 15*i. Suppose -v + 5 = 0, 0 = -2*z + 2*v + 182 - 12. Suppose -4*b = b - z. Which is bigger: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(343)*-5.\nAnswer: -175*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*(-10)\/385)\/(5\/(-110)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7446 = w - 825, 10 = 5*b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 11*n**2 - 13*n - 8. Let m be l(-12). What is the highest common factor of 32 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = -21*v + 6211. Calculate the greatest common divisor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 - 2*z - 1. Let l(i) = i**3 + 16*i**2 + 10*i + 6. Let u(d) = 11*k(d) + 2*l(d). List the prime factors of u(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*c = -31, 2*c = -v - 3 + 1. Suppose -747 = -3*a + 2*r, 211 = 2*a - v*r - 279. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 1:15 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 9*k - 2. Let y be g(-9). Which is the closest to 2\/3? (a) 2\/13 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - m**2. Let y be v(2). Suppose -y*u = u - 60. 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: Solve -2*r + 557 = 2*w + 573, 3*w = -4*r - 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 0 + (-149 - -133 - (-18 - 1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2\/17, 357, 5\/7, 2\/39?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**3 - 5 + 2*f**3 - 10*f**2 + 8*f + 5*f**3. Is m(-11) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgvv when four letters picked without replacement from {v: 4, g: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24522997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0*z + 0 - 1\/60*z**5 + 1\/4*z**4 - 2\/3*z**3 + 3*z**2. What is g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 + 108. Let x(w) be the first derivative of -1 - 4\/3*w**3 + 0*w**z + 0*w + 0*w**2 + w**5. Find the third derivative of x(a) wrt a.\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1150220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from daakddda?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 - 7*c**3 + 5*c**3 + 25*c**2 - 2 - 10*c**2 in the form a*c + w*c**3 + m + g*c**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 0 + sqrt(325))**2 + 4*sqrt(208) - ((-3*(sqrt(156) - (sqrt(156) + -1*sqrt(156))))\/(6*(sqrt(192) + sqrt(12))))**2.\nAnswer: 16*sqrt(13) + 129987\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 278, 3, -2\/7, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 220\/51 (b) 3 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g. Let f be (4\/(-5))\/((-4)\/30). Let r(d) = 5*d + f*d + 6*d. Let h be (1 + (-2)\/6)\/(3\/(-27)). Give h*r(v) - 26*a(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 7\/143?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 25*n**3\/3 + 19*n**2\/2 + n + 28. What is the second derivative of t(i) wrt i?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 4. Let b be s(-1). Suppose -2*p + 2*q = -0*q - 8, 3*p - b*q = 20. Solve p = k - 2*o, 3*k = 5*o - 0*o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133.8 + 96. Let l = j - -38. Is 0.05 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/9*n**4 + 10\/9*n**2 + 0*n + 8\/9*n**3 = 0. What is n?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128911*j**4 - 2*j**2 - 18*j - 569?\nAnswer: 3093864*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**6\/720 + u**5\/12 + 3*u**4\/8 + 3*u**2. Let m(z) be the second derivative of v(z). Let s be m(-11). Does s = -3\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4254 - 1466. List the prime factors of n.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 2. Let c be b(2). Suppose -2 = 4*h + 2. Put 2, h, c in decreasing order.\nAnswer: c, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + f - 112 = 0, -6*t - f + 40 = -5*t. Let m(o) = -10*o**2 + 104*o - 24. Let y be m(t). Round y to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -87, -88, -91, -96?\n\"Answer: -f**2 + 2*f - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 133769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78 or 41228\/525?\nAnswer: 41228\/525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5214915821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101101000 (base 2) in base 11?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:46 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3625844 is divided by 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/3 + 7*z**4\/3 + 29*z**3\/3 + 13*z**2\/3 - 28*z\/3 - 20\/3 = 0 for z.\nAnswer: -2, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 7*w. Suppose -2*j - 3*j + 20 = w. Suppose 2*a + j*b = -6, -4*b = -2*a - b + 15. Solve 0 = n - 2*u, -11 = 4*n + a*u - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1337*w - 18 = a - 1343*w, 3*w - 36 = 5*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eees when four letters picked without replacement from {s: 4, e: 7, o: 6}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 + 13\/(-585)*205 + (-48)\/(-6).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6785 + 2.6785. Which is the smallest value? (a) -38.5 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 857 = z - 6*a, 0 = -4*z - a + 3441. Suppose -h = 4*h - z. Calculate the remainder when h is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42*g**4 - 174*g**4 - 326*g**4 - 549 + 986 wrt g.\nAnswer: -1832*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (14 - (21 + -6)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16904, 16982, 17096, 17252, 17456, 17714?\n\"Answer: u**3 + 12*u**2 + 35*u + 16856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*128\/96*(-3)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*f - 195, 2*d - f - 215 = -3*d. What is the highest common divisor of d and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 69 = -6*r. Is 22 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - a**2 + 18. Let z(c) = -c - 7. Let f be z(-6). Let p(b) = b + 1. Let j be p(f). Calculate the lowest common multiple of 10 and s(j).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11542143.67 rounded to the nearest one thousand?\nAnswer: 11542000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 314*b - 1671. Calculate a(6).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -526 - -525.997. Which is the third smallest value? (a) 0 (b) i (c) -2\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a decade in years?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, 3, -6\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 138 and 135 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005 less than 13048\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 4*t**2 - 4*t. Suppose -4*n - 33 = -13. Let g be s(n). Is (2554\/(-4))\/(g\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163 - 159. Suppose -s - 3 = j - 5*j, -2*j - 1 = -s. Put j, w, 7, 3 in increasing order.\nAnswer: j, 3, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/4813 in -3\/7, -1\/5, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 244 and 133579.7.\nAnswer: 32593446.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (1 - -2) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 7*u**2 - 8*u - 10. Let m be a(-6). Let o be -13*m\/(-3 + 1). What is the second derivative of 5*p**4 + o*p - 5*p - 6*p wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3\/2))**(-49))**(30\/11)\/((f\/f**(-2\/3)*f)**(-35))**(1\/2) assuming f is positive.\nAnswer: f**(3745\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.18864 rounded to zero dps?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1065 rounded to 3 decimal places?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3875 and 17019.\nAnswer: 2127375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111245 (base 6) to base 7.\nAnswer: -36242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/9, 0.5, -4.2, -2, -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12470 = -17*m + 72327. Is 51 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-2) + (-12)\/(4 + -6). Solve -2*o = v*x + 5, -x + 2*x = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15036\/11098)\/((-6)\/(-186)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 218 + -210. Let z(o) = 12*o**3 + 20*o**2 + 20*o + 4. Let r(y) = 4*y + y**2 + 3*y**3 - 2*y**3 - 3*y. Let f(w) = d*r(w) - z(w). What is q in f(q) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3122219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281192712 a multiple of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*d**3 + 1770*d + 8157 with respect to d.\nAnswer: -27*d**2 + 1770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 at most -837325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245233 divided by 4231.\nAnswer: 245233\/4231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a + 24. What is q(-7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127*z**2 + 255 - 255 + (5*z**2 - 3*z**2 - 3*z**2)*(-1 + 4 - 1) to r*z**2 + y + i*z and give r.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -8, -0.0174?\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10859 - 43434 + 10859 + 10859 + 10857 + 16*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -10*d + 12*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-259)\/999*(-522)\/203*(-165)\/(-2).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -256?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 25*n**2 + 1 - n + 0*n + 2*n - 8*n**2. List the prime factors of m(-3).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5016 = -2341456*z + 2341912*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.18 - 0.18. Which is the nearest to -1\/4? (a) -2\/7 (b) i (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 531*h - 526*h + 3*a, 30 = -3*h + 6*a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - b - 1. Let n(t) = 33 + t + 3*t**2 + 4*t**3 + 29 - 72. Let a(h) = -n(h) + 5*z(h). What is a(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 7*k**2 - 17*k - 224. Let m be t(11). Is m at least -901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 5) to base 14.\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51.068 + 51. Let q = c - 0.032. What is the closest to 0.1 in 0, 0.4, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15485190 and 2328600?\nAnswer: 309703800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/(-6))\/(6\/(-18)). Let q = -5 - -5. Suppose 4*b = -q*b. Solve -m - 3 + p = b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4171*s - 2999*s - 1 - 8195*s + (-3*s - 2*s + 6*s)*(-3 + 2 - 1).\nAnswer: -7025*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 1023663*q**2 - 87323316297*q + 87324339963.\nAnswer: -3*(q - 1)*(q + 170611)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7362810 divided by -105183\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33.8 - -31. Let h = -3 - k. Let m = h - -0.2036. What is m rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t\/t**47*t)\/((t**(-35)\/t)\/t))**(-9))**(-48))**(7\/5) assuming t is positive.\nAnswer: t**(-21168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 23.51194mm?\nAnswer: 2.351194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 254502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14865306 by 79921.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 126*c**2 - 49*c**3 + 2 - 60*c + 0 + 6.\nAnswer: -(c - 2)*(7*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 3. Suppose 5*i = 3*g - 11, 653 - 752 = -3*g - 6*i. What is the second smallest value in g, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20121 + -12846. List the prime factors of t.\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-2)\/(5 - 3)) - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.85 - 11. Let n = 10 - 10.25. Let t = n - g. Are t and -2\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -2*r**5\/5 - 3*r**4\/4 - 4*r. What is the third derivative of a(j) wrt j?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 585\/14?\nAnswer: 585\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1232859708 take away 27?\nAnswer: -26.8767140292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 588809 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -0.05 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, d: 7, g: 1, i: 1, u: 5, f: 4}. Give prob of picking 1 f, 1 i, and 1 u.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5 + 35*x**4 - 5*x**3 - 35*x**2.\nAnswer: 5*x**2*(x - 1)*(x + 1)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54963?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(32\/(-4)))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 0.083.\nAnswer: -0.00664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29183278*n**2*s**3 - 32*n**2 + 6991*n*s**2 + 13*n - s**2 wrt s.\nAnswer: 175099668*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 7*a + 2. Suppose -2*l = -3*x - 13, 0*l - 3 = -3*l - x. Let f be 7\/(-2)*4\/l. Let q be c(f). Solve 0*g - 2*g = -q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312877 by -30.\nAnswer: -312877\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/12 - 28\/6. Let c be 3 + a + -2 + 3. Solve -4*k + c + 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3\/4, 1\/48, -3, 4 in decreasing order.\nAnswer: 4, 0.2, 1\/48, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 7:17 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkt when four letters picked without replacement from tktkkkttkt?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/49)\/(14\/147)*(-360)\/(-40).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 272.06 + -272.33114. Round j to three dps.\nAnswer: -0.271","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -147? (a) -5.352 (b) -2\/3 (c) 325\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 + 32*z + 13. Let r = 22116 - 22122. Calculate g(r).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897698455?\nAnswer: 5, 179539691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 607227 (base 9) to base 12\nAnswer: 154114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1248917, -1248919, -1248921, -1248923?\n\"Answer: -2*n - 1248915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 248*o = 7599 - 2539 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*j = 89*j. Let p(b) be the second derivative of b**4\/12 + b**3\/6 + b**2\/2 - b. Determine p(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 2788.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 + 1 + 21*j**2 - 6. Let u(q) = q**2 - 83 - 2*q + 2*q + 82. Let t(g) = -n(g) + 4*u(g). What is the derivative of t(m) wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*o + 29*o - 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11.5 (b) -6 (c) 0.5 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14819288 and 8083248.\nAnswer: 88915728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 779 and 5175828.\nAnswer: 212208948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36273430327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 981 - 969. Calculate the greatest common factor of x and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 52*p + 36*p.\nAnswer: 88*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + (4\/(-10))\/((-5)\/(-25)). Solve -27 = q*b - 4*j, -7*j + 24 = -4*b - 3*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 2. Let d be z(-2). Let w(q) = q**3 - 6*q**2 - q - 4. Give w(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -j - 0*h + h, -4*j + 5*h + 39 = 0. Solve -j + 0 = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4)*((960\/315)\/4 + 0)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 39. What is the biggest value in 1\/2, 0.4, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 79?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8141, -16281, -24421, -32561?\nAnswer: -40701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7653740666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 268 - 259. Calculate the remainder when 3\/(t\/(-12)) - -29 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h - 9*h**2 + 8*h)*(-3 - 2*h**2 + 3 + 3*h**2 - 3*h**2 + 2*h**2 + (-2 - 1 + 4)*(4*h**2 - 3*h**2 + h**2))*(2 - 2 - 2*h).\nAnswer: 36*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 52 + 29 = -5*q, 2*q - 7*v = 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = -v + 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.11, -1\/3, -0.5.\nAnswer: -14, -0.5, -1\/3, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 x when four letters picked without replacement from xbjrrdrrj.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 10. Let q be l(6). Let a(b) = b**2 + 4*b + 3. Let s = -24 + 20. Let t be a(s). Which is bigger: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/3 - 18\/(-8). Let u(v) = 4*v. Let l be u(-2). Let x = -7 - l. Is m less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 + 2*b + 8. Let g be f(0). Suppose g*x = 16*x - 32. Let p = -6 + 8. Sort p, -1, x, -3 in decreasing order.\nAnswer: x, p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30003971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1350*b - 190*b - 204*b + 495*b - 3395*b as r + m*b and give m.\nAnswer: -4644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h**2 + 38*h - 14. Let r(k) = 12*k**2 + 28*k - 30. Let z(a) = -10*a**2 - 25*a + 25. Let u(w) = -4*r(w) - 5*z(w). Give 5*p(x) - 14*u(x).\nAnswer: 2*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 25 = -179. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 3)\/((-15)\/(-330)). Calculate the greatest common factor of q and 1188.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 118 + 23*s - 362 + 124 + 120.\nAnswer: 3*s**2 + 23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 914495987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*c - 221*c + 3*c - 112*c.\nAnswer: -277*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102799?\nAnswer: 17, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 15) in base 2?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - 4.3. What is the nearest to 1 in r, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631770 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 364\/(-7)*((-70)\/28)\/(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -41 - (6 + -17) - (-4 - -8).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3604, -3653, -3742, -3877, -4064?\n\"Answer: -u**3 - 14*u**2 - 3589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8728 - 4466. What are the prime factors of y?\nAnswer: 2, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*y - 35*y = 86 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 - 130 = -10*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7\/498 - -4037\/13944. Let h = 7\/8 - b. Is 0 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 4. Let t(j) = -j**3 - 5*j**2 - 6*j - 6. Let l be t(-4). List the prime factors of z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453 * 17.12\nAnswer: -7755.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 2*u - u**2)*(-20*u - u + 12*u) - 235*u**3 - 9410 + 9410 + (4*u - 3*u + u)*(u**2 - 2*u + 3*u**2 + u) to f*u**2 + h*u**3 + i + c*u and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1323\/(-297) + 14*21\/8085*-15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 41*o + 16. Let r be a(-20). Let q be r\/3 + -3 + (-277)\/(-3). Calculate the highest common factor of q and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmdv when four letters picked without replacement from rvsdavrsmdssmdv.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/25207?\nAnswer: -6\/25207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*u - 55. Let z = 65 + -63. What is the tens digit of u + (-1 - (-4)\/z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2054?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -541 (base 9) in base 4?\nAnswer: -12322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 204 = 15*f. Suppose -f*w = -17*w + 35. Let l(g) = -g + 6. Give l(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-10))\/(5\/(-25)). Let s(m) = 0*m**2 - 2*m**2 + 2*m - 2*m**2 + 2 - m**3 + c. Calculate s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 20*o**5 - 262315*o**4 + 721240*o**3 - 327815*o**2 - 131130*o = 0?\nAnswer: -1\/4, 0, 1, 2, 13113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 2*f**3\/3 - f**2 + 5. Let g(i) = -3*i - 1. Let z be g(-2). Let r = z - 3. What is x(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 31, 61, 101, 151, 211?\n\"Answer: 5*o**2 + 5*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 304740*j.\nAnswer: -5*j*(j - 60948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -174\/1883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 11*l + 3. Let u be j(13). Suppose 0 = -3*n + 5*q + 28 + u, 15 = 5*q. What is the least common multiple of 18 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 19 + (2 - (64 + -48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}