diff --git "a/data/dm_maths/full_data_2/4444_11255.jsonl" "b/data/dm_maths/full_data_2/4444_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/4444_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let -3*c**4 + 0*c - 9\/7*c**3 + 0 + 0*c**2 = 0. Calculate c.\nAnswer: -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -718 plus 0?\nAnswer: -718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1679681 + -9379681. What is w rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56709038 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3446, -12307, -27076, -47753, -74338, -106831?\n\"Answer: -2954*b**2 + b - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -357138*i - 42. Let w(o) = -178569*o - 22. Let p(x) = -6*l(x) + 13*w(x). Let d be p(14). What is d rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 1. Let s be a + (-2)\/(-6)*-131. Let y = 46 + s. Which is bigger: 0.2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17612.5332 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 190 + -185. Which is the second smallest value? (a) -9 (b) 3\/14 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39671\/744 - -3\/248. Which is smaller: -19 or j?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 7. Let o = -438 + 438. Suppose o*f - 5*f + 3*x - 40 = 0, -3*f = -2*x + 25. Determine z(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 400805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*t - 84*t = 4. Let v(u) be the second derivative of 0 - 3*u + 0*u**t + 0*u**3 + 1\/2*u**4. Let a(j) = 2*j. Give a(v(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 15*h**2 + 19*h - 4. Determine x(14).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (464\/1740)\/(-203*(-10)\/(-105)).\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 17 - 341. Let u = b - 50. Suppose -5*v - 344 = -3*j, 0*j + 3*j + u*v = 389. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*s + 590 = 95 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 57, -5, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91967904 divided by -224.\nAnswer: 410571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5510774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -49. Let p(t) = k*t**2 + 0*t**2 + 5*t**2 - 3*t**2. Let d(o) = 44*o. Let z(w) = -15*w. Let q(f) = 4*d(f) + 11*z(f). Give q(p(j)).\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(6\/7)\/j)\/(j*j*j*j\/(j\/((j**(-24)\/j)\/j))*j)*(j**(-37))**(-12))**36 assuming j is positive.\nAnswer: j**(117396\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -425411*c**2. Let o(k) = -7*k. Determine j(o(n)).\nAnswer: -20845139*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.3 + -74.3. Let u = 78 + w. Let l = u - 43. What is the nearest to l in -1\/4, 3\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*o + 12, 2*j + 0*o - 17 = -3*o. Find the second derivative of -2*v - 3 + 5*v**4 + j + 21*v**4 + v**2 wrt v.\nAnswer: 312*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4770754423?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -34*s + 36*s + 4*f, 5*s + 7*f = 37. Is -40\/59 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 5*o + 5. Let q = 4 - -1. Let f be b(q). Let w = -2 - f. Solve 4*i + 2 = -w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*h**2 - 4 - 1154*h**2 + 414*h**2 + 411*h**2.\nAnswer: 3*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w**2 + 5*w + 11. Let q(f) = 3*f**2 + 3*f + 5. Suppose -14 = 6*o + 10. Let d(s) = o*i(s) + 9*q(s). Let c be d(7). Solve -c = 3*g - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154677050 divided by 12815\nAnswer: -12070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 0*g**3 + 0*g**2 - 1\/20*g**5 - 2*g + 0 - 1\/60*g**6 - 1\/24*g**4. Factor b(d).\nAnswer: -d**2*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -13*g - 84. What is f(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-4 - -2) - -1 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-4)\/6)\/(-2)). Let u = 13.4 + -13. What is the second biggest value in u, d, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 164 + -76. Let j = t + -51. Find the third derivative of 37*s**3 - 7*s**2 - 6*s**4 - j*s**3 wrt s.\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 4*l**2 - 3*l - 1. Let j be 39\/2*-1 + 21\/14. Let y be -3*(-30)\/j + 9. Calculate s(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/1381, 1.8, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 129*x**3 + x**2 - 16*x + 18. List the prime factors of h(3).\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14581 - -14610. What is the third smallest value in -2\/17, -0.1, m, -1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(51)\/sqrt(3) + (sqrt(1377)*-1)**2.\nAnswer: 4*sqrt(17) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u = -127*u. Let t(l) be the first derivative of -27 + 0*l**3 - 4*l**4 + 3\/2*l**2 + u*l. What is the second derivative of t(p) wrt p?\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24881 and 1251?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -15*i + 1. Let u be l(3). Let c = 98 + u. Suppose -3*z + 6*z = 42. What is the remainder when c is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 899025740*s**3*u - 22179369*s**2*u - s*u wrt s.\nAnswer: 5394154440*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15*j**2 - 8. Let i(u) = u**2 - 1. Let r = 332 - 338. Calculate r*i(n) + t(n).\nAnswer: 9*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 796 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 2*l - 3*l**3)*(70*l + 41*l + 43*l)*(-2 + 2 - 1) - 2*l**4 + 5*l**4 + 3*l**4 as c*l**2 + j*l**4 + n + t*l + i*l**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0476606999 to three dps.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 - 5*q + 4. Let c be s(-4). Let u = -1\/723 + -3601\/10122. Calculate the common denominator of (-1)\/(-12)*402\/c and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35772 (base 9) to base 13.\nAnswer: -aba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m**2 + 3*m + 2. Suppose u - 3*u + 8 = 0. Suppose 3*t = u*r + t + 6, 3 = r + 4*t. Is f(r) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27811838 divided by 13905919?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 + -1.89. Put z, 2\/5, 4\/9 in ascending order.\nAnswer: z, 2\/5, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 882645 and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 + 4.07. Let a = u - 2. What is the second smallest value in a, -3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86611725 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -35*j**2 - 410*j + 120 = 0.\nAnswer: -12, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 6*k + 5*k + (5 - 1 - 2)*(0*k + 2*k + 0*k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -17 + 6*t**3 + t**3 + 6*t**3. Let w = -3 - -5. Let p(s) = 3*s**3 - 4. Give w*f(j) - 9*p(j).\nAnswer: -j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2 - (-1 - (-4)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 10*z - 8. Let o be s(9). Let k(b) = -b**3 + 1. What is k(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k - 8. Let u be f(3). Factor -2*y + y - 5*y**2 + u*y**2 - y**3.\nAnswer: -y*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4395 (base 12) in base 5?\nAnswer: -214312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**4\/4 + g**3\/2 - 19*g**2\/4 + 7*g - 3 = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 8, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10 - 9)\/(2\/74). Let p = g + -30. Suppose -p*f + 194 = -51. What is the remainder when f is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*sqrt(95))\/sqrt(5) - (sqrt(76) + (sqrt(76) - (sqrt(76) - (3*sqrt(76) - sqrt(76))))*2 + sqrt(76))\/sqrt(4).\nAnswer: -14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 13484715?\nAnswer: 94393005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 16 = -3*l + 7*l, -3*a = 6. Suppose s + 5*w - 25 = -s, 4*w - 22 = -l*s. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -944, -1347, -1840, -2423?\n\"Answer: -45*a**2 - 268*a - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010111 + -11100?\nAnswer: 11111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 0 - 17*x - 3\/4*x**4 + x**2 - 5\/2*x**3. Let u(v) = -4*v**2 - 7*v + 1. Let t(c) = -2*r(c) + 5*u(c). Determine t(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + (3 + -1 - 8). Sort t, 0, -2, 4 in descending order.\nAnswer: 4, t, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/3))**(-5\/4)*(r*(r**(-1)*r)\/r*r)\/(((r**(-3)\/r)\/r)\/r))\/((r\/(r\/r**(2\/9)))\/(r\/r**1))**(-3\/14) assuming r is positive.\nAnswer: r**(557\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 9*j + 5. What is the remainder when 1\/(-1)*((-2340)\/(12 - -6) + 8) is divided by l(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 7 + 2 + 3 - 15*i - 24 to the form n*i + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4648.426 centuries in years?\nAnswer: 464842.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, 197, -2\/7, 1, -28?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -16*x - 4. Let i be (17710\/44)\/(-115)*(-3)\/((-42)\/8). Determine v(i).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.957 + 0.043. Let g = z + -34. Sort 1\/39, g, 1\/3 in increasing order.\nAnswer: 1\/39, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*r**3\/7 - 794*r**2\/7 - 93108*r\/7 + 40878 = 0. What is r?\nAnswer: -63, 3, 757\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 - 16009*i**2\/2 + 159990*i.\nAnswer: i*(i - 31998)*(i - 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8910, -8961, -9014, -9069?\nAnswer: -9126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 11:49 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + h + 3*h + (h + 0*h + 0*h)*(-2 - 1 + 2) - 2*h + 4*h - 4*h + (4*h + 2*h - 5*h)*(-4 + 1 + 1) to the form p + a*h and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 144364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/57 and 38\/32523.\nAnswer: 617937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -18*n + 5. Let j(a) = 3*a. Determine j(o(w)).\nAnswer: -54*w + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-16 + -8*(-5)\/40. Let x be (-8)\/(-126) - (60\/(-14))\/l. Let i = 1 + -1.1. Which is greater: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134919 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 640 and 829200.\nAnswer: 6633600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7836517721 to the nearest integer?\nAnswer: 1986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 + 722 = -11*u. Let t = u - -53. Solve s = t*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f - 36*f - 19 = -g, 4*f = 12. Calculate the highest common divisor of 16 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/8 and 6\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 10:10 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 + 1054*n**2\/9 + 29548*n\/9 - 135184\/9.\nAnswer: 2*(n - 4)*(n + 34)*(n + 497)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 4*m + 2. Let c be t(6). What is the highest common factor of c and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25263226 (base 7) to base 13\nAnswer: 61ca98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 6:49 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 154982618 to the power of 1\/2, to the nearest integer?\nAnswer: 12449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 549525 and 179625.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**4 + 3*r**3 + 21*r**2 + 17*r + 3 = 0. What is r?\nAnswer: -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -2 + 11 + 8 - 24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1288 (base 11) to base 14.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004424251 to seven decimal places.\nAnswer: 0.0000442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/2120 and 103\/2544.\nAnswer: 12720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 473 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 7649801*o - 45898842.\nAnswer: (o - 6)*(o + 7649807)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1426, 1425, 1424, 1423?\n\"Answer: -f + 1427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2839?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5534106122 to the nearest integer?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*d + 41*d**2 - 98*d**2 + 46*d**2 + 32*d**2 wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*h, -4*s = -5*h - 89 - 137. Suppose -3*k - 3 = -4*k. Let p = s + k. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4412*x + 9. Is t(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 9:56 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-165*l + 102 - 102)*(-23 - 1 - 27) to d + i*l and give i.\nAnswer: 8415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97493088 and 2176185.\nAnswer: 487465440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 3 - (-2 - -7)) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1516 and -39\/2653.\nAnswer: 10612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000042 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-16) + 6\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445238*r**2 - 445236*r**2 + r - r + 81.\nAnswer: 2*r**2 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 39 + 32 = 0. Which is the nearest to -1? (a) 0.3 (b) 7 (c) 3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2669 - 2669 + 680*m)*(-4*m**2 + 3*m**2 + 3*m**2) to the form a*m**2 + h*m + w*m**3 + i and give w.\nAnswer: 1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152012 is divided by 6967?\nAnswer: 5705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(475) + 2) + 2 + 1.\nAnswer: 21 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304192 by 43456.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i + 4*i - 2*i**4)*(-3 + 0 + 0) + (5 - 5 - 2*i**2)*(-i**2 + 0 + 0) in the form d*i**2 + g + x*i + h*i**3 + w*i**4 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 2*z**2 - z + 2. Suppose -2*b - 4 = -0. Let q be d(b). Solve q*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -98*t + 204. Let y be x(14). Let w be 38655\/21 - (-4)\/14. Let i = w + y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576671659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95447023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 421219453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 3*g**2 + 3*g - 4. Let i be c(3). Let a = i + -5. Factor -2\/7*y**3 + 0 + 2\/7*y + a*y**2.\nAnswer: -2*y*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103652888.\nAnswer: 2, 3, 13, 1759, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16 - (-285)\/15) + -2. Which is the third smallest value? (a) -2.9 (b) -2\/15 (c) u (d) -6 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-15) + -6 + (-322)\/70 + (-177)\/(-21).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 25 (b) 1 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**8\/336 - m**5\/60 + 3*m**2\/2 - 10. Let n(a) be the second derivative of d(a). What is the third derivative of n(k) wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3.3. Let i = r + -0.32. Let p = i + 0.0200012. What is p rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0.8. Let g = -0.7586 + 0.2586. Which is the biggest value? (a) g (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.41889531 + 1.6.\nAnswer: 3.01889531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -59*l**4\/2 - 5*l**3\/2 - 22*l**2. Let g be n(-5). Suppose -4*y = 4*j - 2808, j - 2*y = 6*j - g. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/96 and -151\/336?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 16 = -30*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**4 + 659*j**2 - 282*j**4 - 572*j**4 wrt j?\nAnswer: -20544*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**2 - 16*b**2 + 1 + 8*b**2 in the form r*b + a*b**2 + h and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 36*n**2 - 7941*n + 4691. Give r(220).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 326463057?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7f (base 16) in base 11?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (sqrt(153))**2.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 50*t**2 + 20. Let g(j) = 8*j + 323. Let v be 5*-4*(8 - 6). Let z be g(v). Let s(k) = -7*k**2 - 3. What is z*l(f) + 20*s(f)?\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 1)\/(1\/3). Let x = 56376 + -56372. Solve -x*y + c = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 22426?\nAnswer: 22427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxuxuxumuxuuiu. Give prob of sequence mi.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:27 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**4 - 184 - 5*w**3 - 6*w**4 + 182 as x*w**3 + f*w**2 + z + y*w**4 + l*w and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 235 - 31. Let d = t - -63. Let a(c) = -4*c**3 - c**2 - 2. Calculate the lowest common multiple of a(-2) and d.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-60)*4 + 69\/15. Let c = 57 - 22. Solve 0 = l*v + 3*v - c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2\/5 + 12497164*j\/5 + 19522388505362\/5 = 0.\nAnswer: -3124291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15539 + 619. List the prime factors of x.\nAnswer: 2, 3, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + sqrt(275) + -1 + 0 + 0 - (sqrt(275)*1 + 1)*2) + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7952.527 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.365 - 0.065. Which is the closest to n? (a) 0.7 (b) -0.07 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzjb when four letters picked without replacement from bjhbzzbbhhbzbhbzhhzz?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - x**2 - 2*x - 4*x**2 + 3*x**2 + 2*x**2 + (x + 1 - 1)*(5*x - 2*x - x) - 2*x**2 + x**2 + 0*x**2 - x + x + x**2 + 218 - 218 + 27*x**2.\nAnswer: 29*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.096211626 to three decimal places.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 9*x**2 - 20*x + 96. Let y be m(10). Put y, 1, 78, 3 in increasing order.\nAnswer: y, 1, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1 - 5 + 0 + 3 + (-1 + 4 - 1)*(0 - 4 + 2) - 1 + 3 - 1)*(2 - 2 - 1)*(-4 + 3 - 2)*(-3*w + 2*w**3 + 3*w).\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.2 - 34. What is the third smallest value in -3, -3\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 4*b = -q + 15, -4*b + 4*q + 20 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -51, 5\/57, 3\/17, -2, -3, 3?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 262 + -258. Let f(c) = c - 8. What is f(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.908983?\nAnswer: -0.4544915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1227556580 divided by -5\nAnswer: 245511316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6340*w**3 - 12531*w**3 + 6334*w**3.\nAnswer: 143*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -5 (c) -30 (d) -4\/7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -52*p - 104. Let n be m(0). Let o = -100 - n. Solve o*r - 5 - 11 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -354.47.\nAnswer: 1417.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3488 + -3486. Let q(i) be the first derivative of 8 + 0*i**3 + 5\/12*i**y + 0*i - 5\/24*i**4. Suppose q(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (-3 - 7) + 25 + -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 139712202\nAnswer: -5\/69856101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 113.8 and 0.6352002858?\nAnswer: 113.1647997142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07420807 to 4 dps.\nAnswer: 0.0742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0999981 - 0.1. What is t rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 375\/14 - 184\/7. Put t, -0.1, 7 in descending order.\nAnswer: 7, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)\/i)**(-23))**(-6\/7)*(i\/(i\/(i\/i**(2\/3)*i)))\/i**(1\/3)*(i\/i**(-4\/3))\/i**(2\/21) assuming i is positive.\nAnswer: i**(-760\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 8:08 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55116236 divided by -4?\nAnswer: -13779059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(sqrt(110)*-1 - sqrt(110)))\/(sqrt(20)\/(sqrt(6)\/sqrt(3)) - -6*sqrt(10)*-2).\nAnswer: 36*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 789 or -1\/8?\nAnswer: 789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 12*w + 8. Let o be v(11). Let i = o - -25. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2002 = 70*d - 81*d. Let g = d + 79. Does 23 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -44. Let s(u) = -u + u - 9 + u**m + 7. Calculate s(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f**3 + 77*f**2 - 2*f - 21. Calculate n(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**3 + q**2 - 4*q**3 - 2*q - 4*q**2 - 2. Calculate h(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**6\/21 - 16*d**5\/35 - 8*d**4\/7 + 12*d**3\/7 + 81*d**2\/7 + 108*d\/7 - 47. Solve i(t) = 0 for t.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 8*k**2 + 6*k + 13. Let y be z(7). Let u be (14 - -14)\/(y\/(-237)). Let c = u - -2785. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 737463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 - -0.13. Which is the smallest value? (a) -1 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 + z**2 + 3*z**2 + 2*z**2 + 2*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 800.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(-2*m**2 + m**2 + 10*m**2)*(3 + 2*m - 3).\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/2 + ((-11025)\/756 - 70\/(-40)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 222120220201?\nAnswer: -222120220203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 46*h - 1. Let x(f) = -38*f + 1. Let b(c) = -6*x(c) - 5*y(c). Calculate b(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1620 and 19035?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g - 4. Let h(k) = 18*k + 8. Give 11*f(s) + 6*h(s).\nAnswer: 9*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240582.\nAnswer: 2, 7, 12659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4211756*i**4 - 10*i + 97223.\nAnswer: 50541072*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -6, -900.\nAnswer: -900, -6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 3, -0.5, 2\/7, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.3455 + 9.4455. Let o = -23 + 20.6. Let s = -3.5 - o. What is the closest to j in s, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3366 and 3848562.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -239, -340, -429, -506, -571, -624?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4967 + 14*r - 4967)*(3 + 0 - 1)*(-3*r + 3*r + r + 0*r + 0*r + 2*r + (-4 - 2 + 5)*(3 - 3 - r)) to the form g*r + m + t*r**2 and give t.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17aa272 (base 12) to base 8\nAnswer: -22711366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1913701*b + 1913708. Give y(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 13 = 108*r - 103*r, r - 11 = -2*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118502 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - h + 117 = 0, 0 = 19*h - 20*h + 2. Let t = 9 + -2. Solve -s = -4*z - t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 20*y - y + (-4 - 2 + 3)*(1 - 1 - 3*y) - y + 2 - 2)*(-1 - 2*y + 1).\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 3*i**3 - 6*i**3 - 6*i**2 + 4*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*sqrt(18) - ((sqrt(18)*2)\/sqrt(9) + 3))**2.\nAnswer: -56*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2150\/7, -0.2, 0, 70, 5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**5 + 123*p**4 + 921*p**3 - 6843*p**2 + 12144*p - 6348 = 0. What is p?\nAnswer: -23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 2}. What is prob of picking 1 i and 1 j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b602 (base 12) in base 16?\nAnswer: 4da2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.76 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19780 and 1978.\nAnswer: 19780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 3*m - 3*m + (-4 + 4 - m**2)*(2*m - 4*m + m) + 2*m**3 + m**3 - m**3 - m**3 + 0*m**3 + 2*m**3 + (-58*m + 47*m - 114*m)*(-m**2 + m**2 - 2*m**2).\nAnswer: 255*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 10\/(-15)*(-45)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 343638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 551*v + 0 - 368*v - v**3.\nAnswer: -v**3 + 183*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = 5*o, 0 = 3*i + 2*i + 4*o - 15. Let t be (3\/(-4) + i)*4. Solve 3*l = -0*l - t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-2))\/((-5)\/(-15)). Let m(l) = -1 - p*l - l + l**3 + 7*l - 3*l**2. List the prime factors of m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 30*x - 202. Let a be l(7). Let s be (-17)\/(-5) + 756\/(-90) + a. Solve 0 = -2*j - y - 11, -s*j - 4*y + 6 = -7*y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 - 96. Let w = h + -48. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 0.5. Let z = 39590\/49 - 808. Which is the biggest value? (a) h (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34570*b**2*m**5 - 121*b**2*m + b - 3*m wrt m?\nAnswer: -691400*b**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0323 - -81.4477. Let i = -0.48 + z. Let a = i + -81.3. What is the closest to -3 in a, -4\/7, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(243\/(-54)*(-5)\/7). Let t(j) be the first derivative of 33\/5*j**2 + 16 - g*j**3 + 4*j. Suppose t(q) = 0. Calculate q.\nAnswer: -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 - 1162*a - 16414. Let n be f(304). Factor 30*k - 138\/5*k**n - 12\/5.\nAnswer: -6*(k - 1)*(23*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 95*i - 59. Calculate x(-32).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -0*b - 2*b. Let l = b + 23. Find the third derivative of -217*n**4 + 217*n**4 + 6*n**l - 7*n**5 wrt n.\nAnswer: -420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**13))**14 assuming w is positive.\nAnswer: w**182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -62527245 to the nearest ten thousand.\nAnswer: -62530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 + 20*m + 53. Let r(a) = -13*a**2 - 63*a - 160. Let n(s) = -6*r(s) - 19*x(s). Give n(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45829 decades in millennia?\nAnswer: 0.0045829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 854b9 (base 12) in base 2?\nAnswer: 101010110010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0887 + 5.0887. Sort 0.3, z, 0.4, 2.26 in decreasing order.\nAnswer: z, 2.26, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/((y\/y**(5\/2))\/y)))*y*y*y)**(-8\/3) assuming y is positive.\nAnswer: y**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11\/(-33) + 10844\/6 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23047 - 23047.035081. Round f to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1569*s + 175 = 1564*s. Let d be 2 + 7\/(21\/(-120)). Is s >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 564 and 3762240?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 2*l - 12. Let t be v(7). Suppose -26*h + 27*h = t. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4380 and 186?\nAnswer: 135780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*n - 101, 5*a + 2*n - 263 = -n. Is 5516 + 1\/(-4) + a\/16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 531 + -280. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abf when three letters picked without replacement from {f: 3, b: 11, a: 4}?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - 6 + 4 - k)*(115*k**2 - 2*k + 100*k**2 - 203*k**2) to the form i + s*k + l*k**2 + o*k**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 318 - (6*(-2)\/(-6))\/(-2). Suppose -a - 1667 = n - 6*n, 0 = -n + 5*a + j. What are the prime factors of n?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.6587 rounded to zero dps?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48910 + 79277. Calculate the remainder when g is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196 + 2*w**3 + 172 - 368.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**3*v - n**3 - 2*n**2*v - 48254992*n**2 - 5*n*v + 87*n - 31*v - 1706 wrt n?\nAnswer: -6*n*v - 6*n - 4*v - 96509984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -5*g + 20, 0*g = -3*g - 5*p + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.99 + 0.9. Let v = n + 0.19. Which is the nearest to 0.2? (a) -5 (b) v (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 984, 2033, 3158, 4365, 5660, 7049?\nAnswer: 8538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -56\/57 in 0.1, 1, -7, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1088031 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**5 + 4*f**5 + f**5)*(3 - 1 + 1 + (6 - 3 - 4)*(-6 + 2 + 1)) + 15*f**5 - 6 + 6.\nAnswer: 27*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 7ba?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780390 = 10*o - 10*o + 58*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 484\/(-3267)*((-27)\/(-30))\/(-1).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**20)**(-25))**35)**(-2\/9) assuming r is positive.\nAnswer: r**(35000\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (3 - -10) - -3. Suppose b = -2*i + 4*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v - 4*v - 3284*v**2 + 2808*v**2.\nAnswer: -476*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -7.97. Let f = 0.33 - x. Which is smaller: f or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57189 (base 10) in base 7?\nAnswer: 325506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 83738, 167552, 251366, 335180, 418994?\n\"Answer: 83814*l - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5790 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 197395 and 5537827?\nAnswer: 3589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/5049 and -143\/3672.\nAnswer: 40392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/6)\/((-27)\/1458*8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-330)\/9*6\/(-5). Let b(q) = -2185*q**2 + 2*q - 1. Let v be b(1). Let g be 11\/(a\/v) - 4. Round g to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87388842?\nAnswer: 2, 3, 14564807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84436 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzzkckzzkzzcz. Give prob of sequence kk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353*q + 349*q - 12 = 0, 4*q + 180 = 3*z. What is the greatest common divisor of z and 4424?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1302\/35)\/(66\/550*(-5)\/1).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -24 in increasing order.\nAnswer: -24, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -7*u + 2*u + 40, -3*w = u - 18. Suppose 3*s - 3 = -h, 5*s + 4*h + u = 1. Let r be 0\/(-2)*s\/(-4). Solve r = a + 3*k + 6 + 1, -k = -3*a - 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4 + 17)*(-t - 2*t + 2*t).\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 3, 4, 100.\nAnswer: -74, 3, 4, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*j - 8, -4*y + 3 = -2*j + 11. Let p = 4 - y. Suppose t = 2*f + 2, -2*t + 0*f + 2 = -5*f. What is the least common multiple of p and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.022416 hours to seconds.\nAnswer: 7280.6976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1\/6, 0.8, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -2)*(-6)\/2. Let f = a - -1. Calculate the smallest common multiple of f and (-15)\/(-12)*4 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760677019.\nAnswer: 17, 137, 326611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b682 - 29?\nAnswer: 2b656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 12929*b**4\/4 - 5187*b + 866. Differentiate o(g) with respect to g.\nAnswer: 38787*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1792691 not equal to -1792701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*b + 21836 = -151*b + 7*b. Let q be (-1)\/2 - (-22)\/(-4)*19. Which is smaller: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0568085098 to 3 decimal places.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107994206?\nAnswer: 2, 6781, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j\/j**(-1\/2))*j*j)**35*(j**(-2\/5))**(-42))\/((j**(5\/2)\/j)\/j**(1\/6))**24 assuming j is positive.\nAnswer: j**(373\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(1\/6))*w)\/(w*w*((w*w*w\/((w**(-3\/7)*w)\/w))\/w)\/w*w)*(w*w\/(w*w**(-1\/17)*w*w)*w*w)\/((w*w\/w**(2\/11))\/w) assuming w is positive.\nAnswer: w**(-26347\/7854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 - (-2 - (-97266)\/(-16212)))*-44. Are x and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 4908.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 426, 3925, 13592, 32565, 63982, 110981, 176700?\n\"Answer: 523*c**3 - 54*c**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 149, 283, 511, 833?\n\"Answer: 47*y**2 - 7*y + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*m = 142*m - 52 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7294 and 294.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t - 3 + 0*t - 2*t. Let b(m) = 6*m - 9. Let w(h) = -4*b(h) + 11*s(h). What is the derivative of w(q) wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-220) - 6\/1*91\/22?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -704*l = -702*l - 302. List the prime factors of l.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -828 - -827.4. Which is the second smallest value? (a) m (b) 3 (c) -0.3 (d) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**5\/120 - 49*p**4\/12 - 65*p**3\/4 + 1190*p**2. Factor m(z).\nAnswer: -(z + 1)*(z + 195)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 72*t**2 + 1. Let n(q) = 2*q. Determine n(d(f)).\nAnswer: 144*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let s = 4 + -4. Let l(v) = s - 2 + 2 - 4*v. Calculate l(n(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**2*j + 2*h**2*y - 3*h**2 + 12163*h*y + 14*j*y - 12*j + 20760 wrt y?\nAnswer: 2*h**2 + 12163*h + 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqdddqdqq. What is prob of picking 4 d?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*o + 4 = 0, 10 = 4*m + 2*o + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18 + -0.05. Let f = 1.87 + s. Let w = f + -1.5. What is the second biggest value in 4, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 759754.522 rounded to the nearest one thousand?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 612005 = -612545 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(-140))\/(3\/((-135)\/6))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*m - 4153 = -4573. Find y such that 0 + 2\/3*y**2 - 2\/3*y**4 + 2\/3*y**m - 2\/3*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z - 11. Let w(q) = 4*q - 1. Let f(y) = -21*y + 12. Let n(c) = f(c) + 6*w(c). What is 11*n(a) + 6*p(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 757*a*x**2 - 30*a*x + 76*a + x**2 wrt x.\nAnswer: 1514*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(-5*r**3 + 5*r**3 - 5*r**3) - r**3 - 4*r**3 + 2*r**3 in the form f*r + v + g*r**3 + l*r**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**8\/112 + r**5\/15 + 3*r**2\/2 + 2*r. Let z(s) be the first derivative of x(s). Find the third derivative of z(n) wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -1 (b) 4 (c) -2 (d) -324\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-8)*(-2)\/(-7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 5*u**2 - 27. Let r be n(6). Let z = 569\/9 + r. What is the third biggest value in -3\/2, z, 114?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 5, -4, 4 in decreasing order.\nAnswer: 5, 4, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 2*m - 5, -1250*m + 1245*m - 20 = -k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 10*d - 2. Let k = -9 - -17. Calculate the remainder when t(k) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 5*n + 2. Let j(d) = -d**3 - 4*d**2 + d. Let f be j(-4). List the prime factors of l(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 566763*69.\nAnswer: 39106647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*g + 83 = 0, -g + 3 = -1. Suppose 5*h - 4*h - 1 = 0. Let o be 1\/(-1) + 4\/h. Solve 2*b + 2*i - 11 = -t, -5*i = -3*b + o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 11*r**2 + 3*r - 6. Let o(p) = -3*p - 7. Let a be o(-6). What is the units digit of f(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 - 80436\nAnswer: -80547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -2*w - 14, -5*w + 10 = 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c - 13. Let z(k) = -9*k + 9. Give -5*j(s) - 8*z(s).\nAnswer: 2*s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -220736, -220709, -220682, -220655?\n\"Answer: 27*q - 220763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0032403276 to six decimal places.\nAnswer: -0.00324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 6*l + 0*l)*(5 + 2 + 5) in the form y*l + v and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*d + 45*d + 14664 = 0 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232132 (base 5) to base 11.\nAnswer: -6362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -750001834 + 750001834 + 91*d**2 + 5*d as f + h*d**2 + o*d and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*f + 257 = 992 + 3841 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -125a3 (base 12) to base 5\nAnswer: -1300120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0124 (b) -0.028 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -89*r**2 + 10188*r - 20371. What is p(2)?\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 483, 1 in increasing order.\nAnswer: -1, 1, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9888 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -5\/8, -0.3, -1\/9, -3, -1\/2?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 16485.\nAnswer: 16485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - 2*x**5 - x**2 - x - x**4 + x**4 + x**5 + (7 + x**2 - 7)*(2*x**3 + x**3 - x**3).\nAnswer: x**5 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3007 divided by -6\nAnswer: 3007\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b**2 - 5. Suppose 0 = -4*a - 0*a + 16. Let p(s) = -5*s**2 + 2. Let d(q) = a*g(q) + 9*p(q). Give d(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 132*q**2 + 276*q - 231. What is a(68)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 + 20*h - 10*h - 12*h)*(1 - 7 + 0)*(-2*h + 3*h + 0*h) in the form g*h + d + c*h**2 and give g.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3822cc (base 15) in base 11?\nAnswer: -1578475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 16 = -5*y. Suppose -9 = -z - y*z. Solve z*m + 21 - 6 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 = -5*r, -2*a + 3*r = -7 + 2. Suppose 5*m - 29 = a. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5179265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 618520 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**5 - 15*h**3 - 10*h**2.\nAnswer: 5*h**2*(h - 2)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*j + 53473 = 12*j + 245989. What is the greatest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, -21\/5, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014 times -3?\nAnswer: -6042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 + 22. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 = -0*p + p, -2 = -2*p - 4*o. Let y be (6\/4)\/((-2)\/(-4)). Suppose 0*s = p*s - 5*g - 43, 2*s - 28 = y*g. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/4 - 8061359*l\/4 + 16122734 = 0.\nAnswer: -8061367, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 1:24 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -649717.\nAnswer: -1949151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2227 - 833014358\nAnswer: -833016585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/42 - 18\/7. Suppose 4*b = -2 + 6. Is 12 a factor of 70\/2 + (b - u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.02 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:15 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - -1*sqrt(104))*5 + sqrt(104) + 4*sqrt(104)*-1 + sqrt(104))*6)\/((sqrt(56) + -2*sqrt(504))\/(sqrt(252) + -2*sqrt(252))).\nAnswer: 288*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121002 (base 3) to base 9.\nAnswer: -532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168549 and 513.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -8244, 2, -1\/10?\nAnswer: -8244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 14\/9 of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 9:15 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 + 4091*l + 14053237\/2.\nAnswer: (l + 2453)*(l + 5729)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:18 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -21. Calculate the highest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -268\/3 + 88. Suppose -4*i = 5*b - 15, -i + 15 = 5*b - 0*i. Put a, -1, b in ascending order.\nAnswer: a, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - 2*o**4 - 18*o + 20*o + 5*o**3 + 4*o**2 as i*o + y*o**3 + h*o**2 + f + g*o**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*c = 23, -3*c = k - 2*c - 9. Suppose -k*y - 18 = s - 78, -4*s + 186 = 2*y. What is the remainder when s is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 - (-88)\/33. Let b(p) be the second derivative of -1\/30*p**3 + 0*p**4 + 1\/100*p**5 + 0 - 3*p + 0*p**v. Factor b(k).\nAnswer: k*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40512, 162161, 364910, 648759, 1013708, 1459757, 1986906?\n\"Answer: 40550*t**2 - t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303677.\nAnswer: 11, 19, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 659*l**3 - 116*l**2 + 1 wrt l.\nAnswer: 3954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 - (-1 + -4 + 9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-189)\/(-315) + 128\/(-5)). Solve 3*s + 2*s + f = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k - 7. Suppose o - 2*g + 16 - 3 = 0, 2*o = 3*g - 21. What is i(o)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (270\/(-600))\/(12\/10)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/(57304\/(-261))*9\/27?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 10*o - 9. Let q be h(11). Suppose 4*l - q*p + 359 = -p, -4*l - 2*p = 350. Let v = l + 104. What is the greatest common divisor of 60 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (51 + -23 - 18) + (2 - 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*k - 65. Which is bigger: 2\/1553 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 1111*r**5\/60 - 97*r**4\/2 - 7*r**2 - 25. What is the second derivative of p(b) wrt b?\nAnswer: 2222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s + 1. Let z be u(-1). Let y = -6 - z. Is 9\/4 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/238480 and -89\/4336.\nAnswer: 238480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*m + 614. List the prime factors of m.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 10:10 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -30*g - 19*g + 153. Sort -187, 4, 2, 5, g in increasing order.\nAnswer: -187, 2, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l = 5*n - 14, -5*n + 18 = 4*l. Suppose -2*b - 52 = -l. Let y = 55 - b. What is the highest common factor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/5 - 768*h - 68796\/5 = 0. What is h?\nAnswer: -3822, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (322\/48)\/(1505\/(-860))\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 933138525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 46 = 18. Let b(a) = 2*a**2 + 6*a + 7. Let g be b(n). What is the greatest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1268 = -14*z + 1546. What is the remainder when z is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/8*(8 - 2830\/350)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1\/s)\/s**6)**(2\/79)\/((s\/(s**0\/s))**5\/(s**(-2\/3)*s\/((s\/((s*s**(2\/7))\/s))\/s)*s*s)) assuming s is positive.\nAnswer: s**(-12497\/1659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.06, -4, -6\/11, 43, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17337 - 1648. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 3 + 2)*(-3 + t + 3) + 10 - 1 - 10 + 49*t)*(-2*t**3 + 0*t**3 + t**3) + 0*t**2 + 2*t**4 + 0*t**2.\nAnswer: -45*t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19888158623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - 15. Let k = 49 + c. Sort 0, k, 3, 4 in descending order.\nAnswer: k, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17490 by -4295.\nAnswer: -3498\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l**2 + 7*l - 7. Let z(o) = 10*o**2 - 10*o + 10. Let x = 224 - 231. Calculate x*w(r) - 5*z(r).\nAnswer: -r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(-2 + 1 + 2)*(47*v - 47*v + 8*v**3) + 0*v**3 + 2*v**3 + v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190191088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(7 - 4*p - 13 - 1)*(4 - p - 4).\nAnswer: -4*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/34 - -41\/306. Let w = -0.766 - -0.466. What is the third smallest value in 6, w, d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, w: 11}. Give prob of picking 1 n and 2 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*b**3 - 2*b + 37*b**2 - 17*b**3 - b**4 - 22*b**2 - 17*b**2 to the form n*b + t*b**4 + m*b**2 + l*b**3 + z and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 + u**2 - 3*u**2)*(-2*u - 3*u + 2*u) + u**3 + 0*u**3 - 2*u**3 - 294*u**3 + 141*u**3 + 136*u**3 to the form c*u**3 + z + n*u**2 + x*u and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-4)*(-4)\/3. Let x be s\/14 - (-60)\/14. Suppose 2*m = 2*c - 42, 4*m - 94 = -x*c - 34. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 187 + -193. Let t be (-4)\/(-1 + (-3)\/(-1)) - v. Solve 0*k - t*k - 16 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 + 13.36. Let j = n + -13. Which is the smallest value? (a) -1\/5 (b) j (c) 0 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-42)*21 - 1\/(119\/1386)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 11:55 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 + 63. Let u be c + 24*49132\/(-8). What is u rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18519 - 15462. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u - 18. Let x(w) = w**3 - 6*w**2 + 5*w - 3. What is the tens digit of x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 20 = -5, v + h - 5 = 0. Suppose v = u - 3. Suppose l - 12 = -u*l. Solve -l*g + 18 = 5*p - 12, -5*g = -p - 22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 481624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -128*d**3\/3 - 4*d**2 - 3*d + 399. What is the second derivative of q(r) wrt r?\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + -2. Round a to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(((f**0*f)\/f)\/f)))**(2\/27)*(f**0)**(-49) assuming f is positive.\nAnswer: f**(-2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsdeeefedsre. Give prob of picking 1 r and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 7, e: 2, u: 2, o: 4}. What is prob of picking 1 o, 1 u, and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5673833?\nAnswer: 11, 515803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1357, -2 in increasing order.\nAnswer: -1357, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(2*(sqrt(36) + sqrt(4)) - sqrt(4)).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 5214*d**3 + 31185*d**2 + 327996*d + 562464.\nAnswer: (d - 5208)*(d - 12)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263016?\nAnswer: 2, 3, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -10*c**2 + 24*c - 166. Give y(5).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 788143709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 125445813\/28 less than 4480209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10475.89 millilitres in litres?\nAnswer: 10.47589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6622)\/(-344) + (-2)\/8 - 17. Let p(d) = d**2 + 6*d. Let r be p(-5). Put 4, -2, r, m in descending order.\nAnswer: 4, m, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 28467, -4, 5, -1, -3 in decreasing order.\nAnswer: 28467, 5, 2, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/((-10)\/(-12)). Let d = 21 - 20. Which is the nearest to d? (a) 3 (b) n (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17 and -81 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/(-10) - 557874\/(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.09, 7\/91053 in increasing order.\nAnswer: 0, 7\/91053, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -16. Suppose -4*h + 68 = -8*d + 9*d, -h + 2*d = -s. What is the smallest common multiple of h and (-2)\/(-9) - (-34)\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4750*y**2 + 888*y**2 + 4024*y**2)*(-1 - 2 + 0) to the form j + n*y + l*y**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 68195?\nAnswer: 613755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7 + 1 - 9*v + 11*v. Suppose 3*c - 5 - 7 = 0. Give n(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = -4*r + z + 140, 3*r - 5*z = 281. Suppose -4*g - 15 = -w, -g = -w - 7 + 28. Calculate the greatest common factor of r and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -207423062 divided by 4103\nAnswer: -50554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/((-1)\/(-8)*3). Suppose -4*w - 5*t - 3 = -2*w, 12 = -4*t. Let o be ((-80)\/(-28))\/(w\/126). What is the greatest common factor of q and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26814519.\nAnswer: 3, 2979391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/8 and (3 - -1) + (-387)\/30?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -985.2433 - -980.2. Let p = r + 0.0433. Put 0.5, -3\/109, p in descending order.\nAnswer: 0.5, -3\/109, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201120201 (base 3) to base 5.\nAnswer: 424100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10338)\/165408*4\/7\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3376615?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*v - 6 + 19, -5*z + 3*v + 3 = 0. Suppose -5*c + 2 = 7. Let r = c - -3. Solve z*l = -r + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1 + 3*sqrt(1088))*-6)**2.\nAnswer: -1440*sqrt(17) + 352537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**6\/48 + v**5\/20 + 7*v**4\/32 - v**3\/3 - 3*v**2\/4 - 81. Find r, given that z(r) = 0.\nAnswer: -2, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 57. Let t be 34\/(-51) + l + 118\/78. What is the nearest to 1\/2 in 1, 3, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -18. Solve 4 - 24 = -j + k*y, -4*y - 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 716, -1\/2, 0, 0.3, 145 in ascending order.\nAnswer: -1\/2, 0, 0.3, 145, 716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40747625*a*n - 19*n - 728713 wrt a.\nAnswer: -40747625*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*v**2 + 8\/3*v + 16\/3.\nAnswer: (v + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**25*(w\/(w*w**(3\/10)))\/w**(-7\/2) assuming w is positive.\nAnswer: w**(266\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39587497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 - 771*r. Let m(j) be the third derivative of j**4\/12 - 256*j**2. Give u(m(w)).\nAnswer: -8*w**2 - 1542*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 88623 - 4?\nAnswer: 88618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 6)*(0*l + 4*l - 3*l)*(-2 - 6 + 3).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + 1d9d?\nAnswer: 1dab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/8 (b) 0.2 (c) 2\/5 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 - 81 - 21*k + 46*k - 77 + 6*k + 229.\nAnswer: 31*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*42\/49*14\/8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by 200.\nAnswer: 17\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 28. Let a = m - -18.5. What is a rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 31*p**2 - 7*p - 1. Suppose 4*a + 4 = -4*q, -5*a = -4*q + 33 + 8. Is h(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 29*d + 31*d - 182 = 0, 3*o + 31*d = 2*d + 16 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 155708966*g**4 - 2835580608*g**3 + 593051760*g**2 - 41558400*g + 972000.\nAnswer: 2*(g - 18)*(427*g - 30)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142131399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006470788464 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 15*y - 7. Let c(p) = -31*p + 15. Let o(t) = 2*c(t) + 5*d(t). Let r be o(6). Suppose 2*i + 5*a = r, i + 0*a - 9 = 3*a. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -11110110011?\nAnswer: 11110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-9 + 4) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1110, 1483, 2142, 3117, 4438, 6135?\n\"Answer: 5*p**3 + 113*p**2 - p + 993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/7)\/d**(-1\/17))**(-41))**21)**(1\/17) assuming d is positive.\nAnswer: d**(3321\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*v + 10. What is the lowest common multiple of v and 3\/((-9)\/(-75)) - 1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, v: 7}. What is prob of picking 1 x and 1 v?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 1135?\nAnswer: 3405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t**2 - 2*t. Let s(w) = -3256*w**3 + 4*w**2 + 10*w + 1. Let z(o) = -5*j(o) - s(o). Is z(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 1\/2*o**3 + 0*o**2 + 1\/4*o**4 - o + 0. Find the second derivative of y(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-14) + (-9)\/(-7). Let r be (2\/(-4))\/(0 + 1). Which is the third smallest value? (a) -4\/7 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let p(t) = 7*t - 2. Let r(l) = 6*l - 26*l + 12*l + 7*l. What is v*p(u) - 4*r(u)?\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 613311*d - 613306*d = 396, -2*d + 36 = -2*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2505 (base 8) to base 6\nAnswer: -10125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73488 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**5 - 30*s**4 + 395*s**3 + 2220*s**2 + 2700*s = 0. What is s?\nAnswer: -10, -3, -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + r - 1. Let n(d) = 56*d**2 - 4*d + 5. Let m(k) = -4*j(k) - n(k). Let a(w) = w. Give m(a(z)).\nAnswer: -48*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 3159268*s**3 + 10 + 3159308*s**3.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 23*d**2 - 24*d + 82. What is u(-21)?\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -622\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 3, -12, 1 in decreasing order.\nAnswer: 3, 1, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/3 - 9) + -1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/2)\/(-35*(-87)\/(-406)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqgqqqqgqgaqoqq. Give prob of sequence gqq.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, g: 3}. What is prob of sequence mgmm?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4170396781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42\/30 + -1 + (-986)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, 2, -2\/9, 18?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 13 - 9)*(-1147*k + 58*k**5 + 1147*k).\nAnswer: -986*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r + 37*r + 30 = 0. Let q(f) = 5*f**3 + 5*f**2 - 5*f + 5. Let i(u) = u**2 - u + 1. What is r*i(w) + q(w)?\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6.92*-510\nAnswer: 3529.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5814 or 3\/88?\nAnswer: 5814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1584 and 108?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 2*h**3 - 2*h**3)*(2*h - 5*h + h)*(6 - 8 - 13)*(h + 0*h + h).\nAnswer: -120*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y - 2. Suppose -y*u = -r + 2 + 1, -u - 4*r = 24. Let k(l) = l**3 + 5*l**2 - l - 4. What is the units digit of k(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-30))\/((-6)\/(-153)). Solve -u + 2 = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -917, 2, 13, -5, 3, -2.\nAnswer: -917, -5, -2, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*s = -4137410 + 23352349. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0831 + 0.0169. Which is the third biggest value? (a) o (b) 25 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 + -1 + (-56)\/(-96). Let i = h + 0. What is the nearest to i in 1\/8, -0.4, 1\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 - 239\/3. Let k be 20 - 0 - (-1)\/(3 - 2). Is m greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 11*s**3 - 32*s**2 + 156*s - 1021. Give u(7).\nAnswer: 2276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/40446 and 89\/3672.\nAnswer: 2750328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 162 - 1132\/7. Let x(i) = i**3 - 40*i**2 - 175*i - 49. Let o be x(44). What is the closest to l in 0.6, o, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5884 - -8702. Is a 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 + -1 - (-1 + -11 - (75 + -84))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3436182190 to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/2 + -21\/4. Let z(f) = -6*f + 133. Let w be z(22). Is w >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen quarters of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**5\/15 - b**4\/24 + 20*b**3\/3 + 2*b**2 - 26. Calculate the least common multiple of r(-12) and 22.\nAnswer: 6908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f - 5*f - 6*f**3 + 2*f**3 to i + u*f**2 + v*f**3 + y*f and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.02328 or -6?\nAnswer: -0.02328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 55*u - 900.\nAnswer: 5*(u - 9)*(u + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y. Let i(m) = 2199*m + 2183*m - 527 - 4374*m. Give x(i(f)).\nAnswer: -16*f + 1054","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -50892, 5.\nAnswer: -50892, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 4*t - 7*t + 18, 9 = o + 3*t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**6 - 2*s**5 + 23*s**4 + 8*s**2 + 124 wrt s.\nAnswer: 120*s**3 - 120*s**2 + 552*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpp when three letters picked without replacement from {o: 8, b: 1, p: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 605 + 2063?\nAnswer: 2670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 4 + -5)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6*w + 8*w - 5*w - 2*w.\nAnswer: -5*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/7 - 104002*a**3\/7 + 520076*a**2\/7 + 832000*a\/7 - 4992576\/7 = 0.\nAnswer: -52006, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 360, 1, -5, 4, -7.\nAnswer: -12, -7, -5, 1, 4, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-2 - -3) + 8. Suppose -4*u - 5*y = u - 80, -4*u - y + 61 = 0. Let p = u - n. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000030075 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-2))\/(1 - 0). Let w be (-10)\/(-6) - 5\/(-15). Let p(v) = 3*v + 2 + 3*v - 7*v - v**w. Determine p(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -449, -622, -795, -968?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 13*o**2 + 14*o - 1. Let j be y(-10). Find the common denominator of (j\/5775)\/(6\/(-15)) and -109\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 1:29 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 4 = 7*b. Solve 3*l = b*a - 5*a - 8, 0 = -4*a + 5*l + 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*m = 1, 0 = n + 18*m - 20*m + 17. Let i(u) = u**2 + 4*u - 25. Give i(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-156)*(-16744)\/112)\/((-2)\/3)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -24*v**3 + 5*v**2 - 7*v + 25. Is f(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 10*c - 15. Let b be g(-6). Let i(t) = -10*t**3 + 2*t**2 + 7*t + 3. Let u be i(b). Suppose -u - 490 = -5*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.166438738 to 5 decimal places.\nAnswer: 0.16644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 243617694 to the power of 1\/2, to the nearest integer?\nAnswer: 15608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1773 and 28565.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285, -544, -801, -1056, -1309, -1560, -1809?\nAnswer: -2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 24 = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/126)\/((-2)\/6). Let k = -0.4 + 0.3. Suppose -84 = 11*s - 18. What is the closest to s in k, 0.5, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*m + 12. Suppose -m*x + 3*x = 0. Suppose x = -3*h + 58 - 10. Calculate the greatest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 47150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.73 - -1.27. Let u = -0.3 - -0.6. What is the smallest value in u, 3\/4, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6229 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -q + 5, 9*q = 13*q - 2*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y**2 + y. Let d be p(1). Suppose -3*h - m = -0 + 3, 3*m = 3*h - d. Suppose -4*q + 30 + 2 = h. Solve -t = 2*v + q, 2*v - 5*t - 10 - 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 0.07 (c) 0.4 (d) 42\/53 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -121700 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*l + 1179 = 510 + 45 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (22*d + 3 - 4 + 3)*(d - d**2 - d).\nAnswer: -22*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000639 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6194.3155 rounded to the nearest one hundred?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322 divided by -322.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 171 (base 16) to base 15\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1365 and 395850.\nAnswer: 395850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/5670 and 151\/324.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 17*c**3 - 9*c**3 - 6*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/(-15)*(-372)\/155.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 876670 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4522 is divided by 4519.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*p + 43714 = -53071, -n + 48415 = 3*p. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/4 + 9139*c**3\/2 - 88034901*c**2\/4 + 10312401905*c - 1273275276025.\nAnswer: -(c - 8885)**2*(c - 254)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54648185 to the nearest integer?\nAnswer: 7392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let p = 528 + -412. Let v(m) = -207*m + 116*m + p*m. Determine v(c(i)).\nAnswer: 50*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from {q: 2, j: 1, u: 7}?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/14 + 76 + -12. Solve 20*w = -l + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 10*t - 11*t. Suppose -35 = t*b - 71. Suppose 0 = 5*y + 2*q - 99, 2 = q - 0. Is y at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-27)\/(-76)))\/(182448\/117288).\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-3 + 5) - 16. Let y = s + 36. Let k = -13 + y. Solve k*n + 1 = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 3837 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -99. Let b = -22 - s. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82119069 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 - -278)*(-1)\/1. Suppose -s - 41*o + 37*o - 275 = 0, -3*o = -s - 268. Does s = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.34 * -80\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 26*f + 3. Suppose 0 = 115*w - 600 + 140. Let z(c) = -c**2 - 26*c + 4. Calculate w*m(x) - 3*z(x).\nAnswer: -x**2 - 26*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 328\/3 - 4\/(-6). What is the units digit of c\/15 + (-2)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1873652 and 40388.\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 7718?\nAnswer: 30872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a factor of 175859427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2. Let c = 1154 + -1150. Let q(s) be the second derivative of 0*s**2 + 6*s + 0 - 1\/6*s**c + 0*s**3. Calculate j(q(y)).\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 59603 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 + w + 1. Let h be t(1). Let q(s) = 6*s - 8. Determine q(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2988)\/5229)\/((-464)\/21))\/(45\/(-24))?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5 + 15 - 4 + 0 - 2*l. Let b be (4 - 2\/1) + -2. Suppose b = 2*y + r - 4*r - 3, 0 = -5*y - 4*r + 42. Calculate f(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182952 and 457380.\nAnswer: 914760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1413660 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*u**6 - 129*u**5 - 2*u**4 - u**2 + 193*u - 30.\nAnswer: -960*u**3 - 7740*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6089.015 millilitres in litres?\nAnswer: 6.089015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (59 + -50 - (7 + (-4 - -3))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65582 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: Three letters picked without replacement from zzqzzzzqzzzvvvvq. What is prob of sequence zqq?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0*j**3 - 5 + 2*j**3 - 9*j.\nAnswer: 2*j**3 - 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1) + 4\/2. Suppose 184 = -3*i - i. What is the common denominator of l - i\/(-8) - -2 and -145\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78581 is divided by 77849?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11413, -11404, -11389, -11362, -11317, -11248, -11149, -11014?\nAnswer: -10837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 42*o = 46*o + 220617, 4*u - 5*o = 176508. What are the prime factors of u?\nAnswer: 157, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8237 + -8144 + (-56 - 2)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -12)*(20\/(-15))\/(4\/6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(20) - sqrt(180))*-3)\/(sqrt(40)*2) + 1)**2.\nAnswer: 3*sqrt(2) + 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 19*k - 6358. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4190*r + 17952 = 2007*r - 1530 - 17700 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-2 - (-4 - 1)). Let u = m - -1. List the prime factors of (0 + 1)*u - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 17*m + 7. Let z be y(-8). Suppose -2*h - 18 = -i, 0 = -5*h + z. Calculate the lowest common multiple of 86 and i.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k**2 + 2*k + 1. Calculate d(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2093)\/273 + 1*8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**3 + 228*s**2 + 1632*s + 3136 = 0?\nAnswer: -49, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p - 1. Suppose h = -3 - 1, 0 = -2*o - h. What is the tens digit of w(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*f + 17*f - 642 - 350 = 0. Solve 2*s + 2*s = -f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 6. Let z = 7 + -5. What is the least common multiple of z and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140 + -140.2. Let w = -24 - -24.5. What is the nearest to h in -0.3, -2\/9, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1464 + -1167. What is the smallest common multiple of 264 and r?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**5 - 7605*k**4 + 2670360*k**3 + 692507200*k**2 - 382172904960*k.\nAnswer: 5*k*(k - 616)**3*(k + 327)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1693854, -3387710, -5081566, -6775422, -8469278?\n\"Answer: -1693856*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10506727.\nAnswer: 7, 11, 101, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-186)\/14*((-8)\/(-26) - (-82110)\/(-55692)).\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + 0.09. Let f = m + -0.15. Let v = 0.38 + f. Round v to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbgggggggggg. What is prob of picking 2 g and 1 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*t + 41979 = -14589 - 852. What is the greatest common factor of 270 and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.9 in -0.14, -0.5, 0.3, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 6. Let z be x(-4). Let f be 1 - (z - 3)*9. Solve -q = -5*l - 13, f*q - 5*q - 4*l - 23 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460 greater than or equal to 3442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 65\/10 + (-3)\/6. Suppose -j*z = -z - 50. What is the highest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79829303 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 1 (c) -6\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*n + 12 + 37 = 0, -n - 278 = -5*j. Let t = j - 56. Sort t, 7, 5 in increasing order.\nAnswer: t, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2670*s - 48057. Let k be w(18). Let u(p) = -6*p**2 + 4 + p**3 + 0 + 4*p - 3*p. What is u(k)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -23 (b) -15 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 6*i**2 - 6*i + 9. Let b be t(-7). Is 17 a factor of -3 + (2 - b) + 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388*s - 231*s + 609*s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 1.33 (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, 0.193, 0.3, -2\/3, -2, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 15) to base 5\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272 - 119. Suppose 3*p = p + 6, 3*v - l = 5*p. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-9)\/(-3))\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**5\/40 - j**4\/12 + 4*j**3\/3 - 3. Let u(p) be the third derivative of c(p). Differentiate u(h) with respect to h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*f - 20 = 0, 4*a - 2*f + 0 = 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*7*11\/11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47a7 (base 16) to base 4.\nAnswer: -10132213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z + 8. Calculate the remainder when 144 is divided by r(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 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: Is 1 + -5 - 586\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 - (-10 - (0 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -86, -1 in descending order.\nAnswer: 26, -1, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 5*q + 4*q)*(-2 - 1 + 2) - 4*q + 5*q - 5*q + (2 - 6 + 2)*(0 + 0 + q) + 0*q - q + 4*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 976 = -12*x + 1000. Factor -1\/4*u**x + 1\/4*u**4 + 0 + 1\/4*u**3 - 1\/4*u.\nAnswer: u*(u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 36 + 35 - 60 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3451*-14.\nAnswer: 48314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 218*x**3 + x**2 - 1 wrt x.\nAnswer: 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 - 11*b**2 + 4*b + 4. Let p(i) be the second derivative of i**5\/10 + 5*i**4\/6 - i**3\/2 - 3*i**2\/2 - 11*i + 21. Give -4*p(y) - 3*t(y).\nAnswer: y**3 - 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 4*a**2 + 3. Let o be t(-4). Suppose 3*x = -4*d + 1510, -5*x - 7 = o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 16*k - 112. Let h be w(6). Which is bigger: h or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x - 14 = 0. Let g = 65 - 69. What is the smallest common multiple of x and (8\/g)\/(3\/(-6))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(17) + 0)**2 + -1 - (sqrt(17) + 0)*1*3) + 5*(sqrt(119)\/sqrt(63) + sqrt(17) + -1 + 1 + sqrt(17)) + -5.\nAnswer: 2*sqrt(17)\/3 + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.18818l to millilitres.\nAnswer: 4188.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -316 - -16?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, y: 2, z: 1, f: 1}. What is prob of picking 1 a, 1 z, and 2 y?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 y when four letters picked without replacement from {a: 10, y: 9}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*t - 29, -w + 0 - 1 = 0. Suppose 24*r - 9 = 25*r + 3*a, -a = 5*r - 25. Solve -r = 3*q + t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/19 (b) 2 (c) -5\/1019 (d) -3\/2 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 9*k + 10. Calculate p(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 4*t - 4*t)*(-15*t**2 - 1276*t + 13*t**2 - 976*t - 305*t).\nAnswer: 6*t**3 + 7671*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpppppvvplmphlghphpg. What is prob of sequence hhv?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 19765.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141*u + 1253*u**4 + 6 - 106*u**4 + 70*u - 6 wrt u?\nAnswer: 13764*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000 + 11000101110110011?\nAnswer: 11000101111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3, -5*h - t + 16 = -6. Suppose -6*x = -h*x - 101. Suppose 0 = -2*c + x - 11. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 + 523*l + 6282. Give y(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-six fifths of a kilometer?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 10*i**2 + 8*i + 9. Let x be k(-7). Suppose 0*c - x = -5*c. Calculate the smallest common multiple of (-18)\/(-15)*(1 + 4) and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 + 1.91. Let c = u + -3. Sort -4\/5, -3, c.\nAnswer: -3, c, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15425 - -44?\nAnswer: -15341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*d - 126*d + 170 = 0. Which is bigger: d or 3\/208?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4*2)\/(247*(-35)\/(-665))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1\/v)\/v**(2\/31))\/(v*v\/(v**(8\/3)\/v*v)*v**(-6\/7)) assuming v is positive.\nAnswer: v**(950\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 10) to base 3\nAnswer: 11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*c - 4*a, a = -6*c + 8*c + 46. Let g be c\/32 + (-523985)\/20. Round g to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/220932 and -179\/5130.\nAnswer: 3313980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*2 + -3 + (sqrt(128)*-2)**2 + (3 + sqrt(8) + sqrt(2) - sqrt(2)).\nAnswer: 16*sqrt(2) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*u + 715 + 10. Suppose 0 = 3*g - 19 + 1. Suppose 0*i - i + g = 0. Calculate the remainder when u is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-4))\/(78\/(-8)). Let z = -35 + 35. Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36497\/15 + 2433. What is the second biggest value in -433, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/(-40)*8\/190?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**4\/24 - u**3\/6 + u**2\/2 - u. Let r(m) be the first derivative of q(m). Suppose -32*n + 38*n - 12 = 0. Calculate r(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/10)\/3*(138880\/(-8832))\/(-217).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*q + 16*q = 7*q - 118 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and 15?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4255\/(-966) + 0 + 1 and 13\/5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43186277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1482 divided by -494\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 at least as big as 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 10*l**2 - 6*l - 3. Calculate the least common multiple of 12 and s(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -215, -434, -655, -878, -1103, -1330, -1559?\n\"Answer: -o**2 - 216*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 471 - 288. Calculate the highest common divisor of 6 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 42 + 8. Suppose -3 - 192 = -n*s. What is the remainder when s is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-26 + 6)*2\/(-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/3*10)\/(20\/(-36)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135301405 + 20?\nAnswer: 135301425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 9*v - 17. Let r be p(-9). Let i = -11 - r. Suppose 0 + i = y. What is the highest common factor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -86. Let v(q) = 2*q - 258. Let k(p) = -7*h(p) + 2*v(p). Let t be k(-20). Which is smaller: t or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001110 + 2001012112?\nAnswer: 2002020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -9*o - 60. Let h be p(-7). Let s be (-8)\/(-6)*2\/4. Let i(r) = -r**3 + 21*r**2 - 55*r + 18. Let b be i(18). What is the closest to b in -1\/3, h, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 - 42\/(-18). Let g be (-2 + p)\/(12 - 11). Find the first derivative of -34 - 3 - 10*t + g wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10216 from -2.3824543.\nAnswer: 10213.6175457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 54 - 25 = -3*l, -l = r - 21. Let q = -21 + 13. Let x = -1 - q. Calculate the remainder when l is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2754*j + 133. Is s(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877911361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2)*4\/(-4). Let o = b + 4. Suppose o*s - 106 + 19 = 0. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.24853*-0.03.\nAnswer: -0.1274559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3257528*u**5*x**3 - 42323*u**2*x**3 - 20*x**3 wrt u.\nAnswer: -195451680*u**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3*m**2 + 473*a**3 - 58*a**2*m**3 wrt m.\nAnswer: -2*a**3*m - 174*a**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-8)*(126\/294)\/((-6)\/(-21))*-40.\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3798039017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 359 or -741.8?\nAnswer: 359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13405*p**3*r**4 - 1894336*p**3 - 30*p*r**4 wrt r.\nAnswer: -53620*p**3*r**3 - 120*p*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) 3 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-494)\/(-3 + 5)*(-9)\/9?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9205 is divided by 2299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347268 divided by -43.\nAnswer: -8076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of (2 - -25)*(6 + 86)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q = -4018 + 3787 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w = 43*w - 15. Let b be -1*((-25)\/10 - w\/(-6)). Is -1 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 x when four letters picked without replacement from {u: 2, v: 4, x: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21799436\/3465 - 44040\/7. Calculate the common denominator of -13\/22 and i.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**6\/15 - u**5\/20 + u**3\/3 - 10*u**2 + u + 24. Find the second derivative of s(d) wrt d.\nAnswer: 24*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25779369*-10.\nAnswer: 257793690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1566, 3136, 4706, 6276?\n\"Answer: 1570*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 30784.0075 to the nearest 100.\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9 - ((3 - -1) + -1)) + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-10)*345\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 2:09 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 23*m - 56. Let c be p(3). Let h(q) = -8*q + 6 - 7 - q**3 + 0*q + 13*q**2 - c*q**2 - 8. Determine h(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/5, -5\/6, -3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -701, -2527, -5571, -9833, -15313?\nAnswer: -22011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -382, -383, -384, -385?\n\"Answer: -w - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*f**2 + 7*f**2 - 21*f**2 to the form d*f**2 + r + v*f and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15233671\/3067170 - -2\/102239. Let g(k) = k**2 + k. Let u be g(-2). Calculate the common denominator of u + (-5)\/((-100)\/(-174)) and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*6\/(-11*18).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*c - 14*c - 160. Solve v = 5*v - c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21 and -2.869.\nAnswer: 18.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6101 * -2\nAnswer: 12202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*s - 1 = -8*s, -3*l + 3530 = s + 3523 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - i = -97 - 38, 4*i = 2*t - 130. Suppose 36 = -t*n + 70*n. Solve -2*u - 4*u = n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(6*(5 + 3*3*sqrt(208)*1) + 0).\nAnswer: 61 + 432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-3*l + 5*l + 0*l)*(7 + 3 + 2).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k - 8. Find the third derivative of 3*a**4 - k*a**2 + 5*a**2 + a**4 - 4*a**2 wrt a.\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3 + 27 = 3*n, j - 9 = -n. Suppose 0 = 12*i - n - 42. Suppose -2*q = -i*k + 6*k - 9502, 0 = k - q - 4747. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 27*i**2. Let b(q) = 6*q**2 - 96*q - 30. Determine b(y(v)).\nAnswer: 4374*v**4 - 2592*v**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/70*4\/(4\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 5*i + 9. Let p be y(-6). Solve -2 = -p*u - l - 1, 2*l = 5*u - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -62. What is the tens digit of (t - 1)*-7 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20395, -40744, -61093, -81442?\nAnswer: -101791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.17 (c) 2\/7 (d) -2092136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3064 (base 7) to base 2.\nAnswer: 10000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**3 - 2*c**2 + 2*c - 1. Let y be b(1). Let w(v) = v**3 - v - 2. Let f be w(0). Let u be -2 - -6*f\/y. Sort u, -1\/5, -0.5.\nAnswer: u, -0.5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2226 (base 9) to base 3\nAnswer: 2020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6*u + 2*r = 106, 0 = 2*u - 4*r - 112. Suppose -8*c + u = 14. Solve 3*b = 2*b + c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (8 + -10 + -5 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -29, -8 in ascending order.\nAnswer: -29, -26, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.052 and 1510.\nAnswer: 1510.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 45*b**2 - 2*b + 7. Let j(z) = 46*z**2 - 2*z + 8. Let n(p) = -6*j(p) + 7*r(p). Let w be n(2). Suppose 5*y - 277 - w = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001703918 rounded to six decimal places?\nAnswer: -0.001704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -369, -1691, -3893, -6975, -10937, -15779, -21501?\n\"Answer: -440*t**2 - 2*t + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 + 3. Let s(l) be the third derivative of l**4\/24 + 5*l**3\/2 + 7*l**2. Let k be s(-18). What is the third smallest value in 2\/3, k, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255\/343, -1, 5, 0 in decreasing order.\nAnswer: 5, 255\/343, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1620 = -9228*k + 9243*k for k.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -197, 2\/7, -0.5, -141 in ascending order.\nAnswer: -197, -141, -0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3287 + 46087\/14. What is the common denominator of 39\/212 and h?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -49*o + 16*o + 16*o + 15*o. Let x(s) = 23*s**2. What is x(t(d))?\nAnswer: 92*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 8*u**2 + 4*u - 5. Calculate s(-5).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49192 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*c + 10794 = -19*c + 389*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 143206516 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 1.6, -0.5?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541954700 to the power of 1\/3, to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -75 + 13?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4179345607 less than 0.08?\nAnswer: -0.3379345607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8478.08978 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -203, -201, -197, -191, -183, -173, -161?\n\"Answer: s**2 - s - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1487951 divided by 4.\nAnswer: 1487951\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39123 and 3470769.\nAnswer: 24295383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (0 - 46\/(-14)). Which is the nearest to y? (a) 0.1 (b) 2\/19 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 - 16*(-3)\/(-9). Put q, 1, 0 in decreasing order.\nAnswer: 1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12419 (base 11) to base 9.\nAnswer: 26375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3600\/7)\/((-2)\/595). What is y rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110709093 and 11715.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*t - 9*t + 11*t**3 + (0*t**2 + t**2 + 0*t**2)*(2*t - t + 2*t) + (-1 - 3*t + 1)*(t**2 - 4*t**2 + 5*t**2).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 (base 14) in base 15?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6613798.3152195981 - 5113.0807818619. Let j = o - -6618853.396. Let m = -58 - j. What is m rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4529 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*o - 52609 - 12077, -5*o + 107805 = 4*v. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 34*o**3\/19 - 162*o**2\/19 - 40*o\/19 = 0.\nAnswer: -4\/17, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 164, 850, 2346, 4940, 8920, 14574, 22190, 32056?\n\"Answer: 48*o**3 + 117*o**2 - o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.1 + -0.1. Let h = -7.9 + v. Let o = -0.4 + h. Which is the closest to 0? (a) -2\/3 (b) -1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11*4\/8*-2. Suppose 52 = 3*d - j. What is the third derivative of -16*s**5 - 2*s**2 + 21*s - d*s wrt s?\nAnswer: -960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhhhhhhhhhhvh. What is prob of picking 2 h?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 - (0 + 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 + 216 - 425 + 1146*v**2.\nAnswer: 1146*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1349 (base 10) to base 6\nAnswer: -10125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -3199.5?\nAnswer: -3199.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = -6*d - 182 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19418983 is divided by 2774139.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5. Let b be 9\/(-15) - (-1)\/35. Which is bigger: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2cbdd8 (base 16) to base 5.\nAnswer: -1222312214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/sqrt(81))\/(sqrt(550)\/sqrt(11)).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - a)*(-4 + 4 - 1) - 2 + 2 + 2*a + 5*a - 2*a - 2*a + (-2*a - 4 + 4)*(-3 + 4 - 3).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 6:45 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12*u**2 + 1635*u - 301. Let b = 43 - 21. What is the remainder when q(136) is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16966 = -5*y - 3161. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 12. Let o be i(-5). Suppose 16 = o*y + 4*f, -2*f + 2 = -5*y + 20. Find the common denominator of 2152\/(-96) - 3\/y and -11\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/150*1\/1*-2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*w = 1837, r - 4*w = 2229 - 362. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Let j = 14.1 - 14. What is the closest to j in -3, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 12*j + 26. Let r be o(-7). Suppose r = -155*l + 163*l. Solve -43 + 38 = -l*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 302729429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 41. Let f be u(12). Let o = f - -21. Let s be (8 + o)\/(2\/(2\/1)). Solve -3*t - t = s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28 (b) -26\/31 (c) 157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(2\/5)*z)**39)**12\/((z\/((z*z**6*z*z*z)\/z*z)*z)\/(z*z**(-4\/3)))**(-18) assuming z is positive.\nAnswer: z**(5394\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.1. Let c = 63501 + -63500.5. What is the second smallest value in 2\/7, p, -0.048, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*j + 13*i, -577*j = -582*j - i - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(3) - (sqrt(3) + sqrt(3) + sqrt(288)\/sqrt(6))**2.\nAnswer: -104 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 486445 and 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6 or -5995\/31?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2. Let a(h) be the third derivative of -1\/6*h**3 + 4*h**2 - 21 - 5\/12*h**4 + 0*h. Calculate a(v(g)).\nAnswer: -20*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00088529747 rounded to 6 dps?\nAnswer: -0.000885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + (sqrt(78)\/sqrt(6))**2 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 divided by -2.\nAnswer: -157\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 367344 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x = -6. Let n(g) = 3*g**3 + 3*g**2 - g + 2. Let s be n(0). Suppose 2 = -2*m, -s*m + 2 = x*h - 4*m. Solve -y + 0 + 2 = h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 2 (c) -20 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/35, -5 in descending order.\nAnswer: -2\/35, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 6*b**2 + 4. Let i be v(6). Put i, -2, 5 in decreasing order.\nAnswer: 5, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 12:58 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-3)*5\/(-3). Suppose 3*i - 3*q - q = c, 40 = 2*i + 4*q. Let u be 1\/((-6)\/i)*-3. Solve -4*w = -u*b - 25, 3*w - 3*b - 2*b = 25 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12994, -12980, -12956, -12922?\n\"Answer: 5*l**2 - l - 12998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562*c + 563*c = 4*g + 11, -g + 13 = 5*c. Let l(p) be the first derivative of -9*p**2 - 4\/3*p**c + 0*p + 34. Find the second derivative of l(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.3 (b) 0.06 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**2 - 13*t - 27. Let w(d) = d + 6. Determine 4*g(m) + 10*w(m).\nAnswer: 2*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98552 equal to 98558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79.9 * 0.02891.\nAnswer: -2.309909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -21. Let w = y + -7.6. Let t = -0.6 + 0.4. Sort -5, w, t in descending order.\nAnswer: w, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - o = -1657, 2*o = -w + 6*w - 1651. Let g = w + -4301\/13. Which is the third biggest value? (a) -0.2 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-30))\/((-4)\/(-18))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (2 - (0 - -2)). Suppose 2*k - 3*k = -62224. Suppose 5*c + f - 427781 - k = 0, -3*f - 391985 = -d*c. What is c rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {j: 5, x: 9}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/5 (b) -2 (c) 67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -9438.76\nAnswer: -141581.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2))**2*-1 + sqrt(17) + 1 + -3.\nAnswer: -19 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 21*m + 17*m - 110 = 0, -2*m = -d + 106. Suppose -2*y + d = -5*z, -20*y + 5*z + 148 = -17*y. Calculate the remainder when 97 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45332 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from {p: 1, w: 4, z: 1, d: 3, j: 1, q: 5}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 422.18 + 1.82. Let a = -424.000974 + f. What is a rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -10*c**2. Let g(z) = -23861*z. Determine g(y(v)).\nAnswer: 238610*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z = -28*z + 108. Let j(g) = -3*g**3 + 3*g**2 + 33*g + 2. Does 6 divide j(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -54375 = -54371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262582125, -525164251, -787746377?\nAnswer: -1050328503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + ((sqrt(32)\/sqrt(2) - sqrt(16))*-3 - sqrt(16))\/sqrt(8) - 4*(sqrt(120)\/sqrt(90))\/sqrt(6))*3)**2 + -1.\nAnswer: 42*sqrt(2) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1941 and 0.4?\nAnswer: -776.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/3 or -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3086 - -0.24673.\nAnswer: -3085.75327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -710280602 - -216.5?\nAnswer: -710280385.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 + 4*h**2 + 4*h - 3. Let g be c(4). Let k = g + 21. What is the common denominator of (27\/k)\/(12\/(-250)) and -71\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*s**3 + 9031 + 9029 - 18060.\nAnswer: -81*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*i - 3885 = 2*i, 4*k = 5*i + 5180. Let v = k + -162. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 12:51 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 - 7*m - 68. Is 46 a factor of o(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/72 + 4510\/123.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/8 in 0.7, -2\/3, 2\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 10 = 2*b - 10, 0 = l - 2*b + 8. Let c = 1424 - 17089\/12. Sort -1\/4, -1\/3, l, c in descending order.\nAnswer: c, -1\/4, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 40 = -5*i, -25*i = -4*g - 28*i + 25. Suppose -k + 16 = k. Let o be ((-3)\/(-2))\/(6\/k). Solve -2*m - o*s + 20 = -g*m, -s = 3*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -1. Let z(w) = -2*w**2 + 2*w. Let a(v) = v**3 + 2*v**2 - 2*v - 6. Let u(q) = -a(q) - 4*z(q). Let b be u(c). Is b at most as big as -4\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-144)\/(-160) + (-4)\/10. What is the nearest to -2 in -0.03, b, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 15 = 0, 0*h - 131 = -j - 5*h. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/16*12 - -21212) + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1252264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334819 = 4*s + 3*l, 16233 + 67533 = s - 8*l. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - (-2 + (3 - 2)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = -190*x + 754 + 397. What is the third biggest value in 2, -4\/5, -8.18, x?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4207442 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 - 1574?\nAnswer: -1627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -352, 2, -8, 100 in decreasing order.\nAnswer: 100, 2, -8, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-3))\/(-2 + 0). Let y = b + 0. What is the second derivative of 0*r + r**4 - r + y*r**4 wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -65*n**3 + 11*n**2 - 11*n - 11. Let q(r) = 13*r**3 - 2*r**2 + 2*r + 2. Give 2*a(o) + 11*q(o).\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -331822 by 58.\nAnswer: -165911\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 - 11*i - 2. Let c(x) = -16*x**2 + 35*x + 6. Let h(m) = 4*c(m) + 13*v(m). What is h(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*4 - ((-483)\/(-21) - 20). What is the second smallest value in 0.2, -0.5, w, 40, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71\/2 + 35. Let m = 1 - 4. Put 4\/5, l, m in increasing order.\nAnswer: m, l, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2858 + -5270. Let c = f + 8575. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(sqrt(240)*1)\/sqrt(8)*-1)\/(1*sqrt(486)*-3 - sqrt(486) - ((1*sqrt(486) + sqrt(486))*-2 + sqrt(486))).\nAnswer: -20*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 4*z + 1. Let o be j(-4). Let k(a) be the first derivative of 5 + 1\/3*a**3 + 2*a**4 - 1\/2*a**2 + a. Give k(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -4532 (c) 32 (d) 2\/9 (e) -0.4 (f) 2\/15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11694036 and 166.\nAnswer: 11694036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1101\/7, 5, -0.2, -1, 13\/2 in descending order.\nAnswer: 1101\/7, 13\/2, 5, -0.2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*j, n + 2*n = -4*j + 20. Suppose -z + 10 = 2*b - n, -2 = -5*z + 2*b. Factor -20\/9 + 4\/9*g**z - 16\/9*g.\nAnswer: 4*(g - 5)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 43. Suppose 4*s - 117 = -5*h, -4*h + 4*s + 91 = -17. Let y be (u + h)\/(6\/4000). What is y rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 1. Let z(p) = -156*p**2 - 6 - 124*p**2 + 283*p**2 + 6*p. Let s(r) = r**3 - 10*r**2 + 9*r + 1. Let d be s(9). What is d*z(w) + 5*m(w)?\nAnswer: 3*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m + 3*j + 57, 4*m + 2*j - 42 = 0. Let o be m\/48 + (-18)\/8. Is 11 a factor of (-23)\/3*6\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6884, -6822, -6746, -6650, -6528, -6374?\nAnswer: -6182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b + a05?\nAnswer: a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 22) + (-2 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010 + -2112?\nAnswer: -12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-1 - 1 - -1). Let g = h - 4. Let a = 8 + g. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z\/z**(4\/3)*z)\/z)\/((z**22*z*z)\/z)*z**23*z*z**(-1\/18)*z assuming z is positive.\nAnswer: z**(65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1709 and 0.0172684.\nAnswer: -29.5116956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -252 + 252.3. What is the nearest to -1 in 25, -1\/4, -3\/5, z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 21*j + 30 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*(i**(3\/2)\/i*i)\/i)**11)**(-28) assuming i is positive.\nAnswer: i**462","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + s + 0*s = 5288, -5*n - 3*s = -8812. Suppose 483 = -5*u + n. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*w - 5372 = -219*w + 2074 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/15 in -2, 1, 0.27435, 2\/9?\nAnswer: 0.27435","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.52521l in millilitres?\nAnswer: 13525.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7523419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 589 + -389. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a + 2*s = 20, 0 = -2*s. Let f = -17 + 24. Calculate the remainder when f is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - a + 4*a, 4*y = 4*a. Let q = -32 - -28. Sort q, -5, y, 4 in descending order.\nAnswer: 4, y, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*z + 1 - 2*z**2 - 54*z in the form u*z**2 + f*z + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - u + 5. Let c be t(0). Let o = c + -1. Suppose -o*p = -5*p + 4*x + 15, 32 = 4*p - 2*x. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(389 - 719 + 2295)*(u + 0 + 5 - 4).\nAnswer: 3930*u + 3930","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 54*x - 67. Suppose x*c - 837 = 471. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = 3*z, -z = -4*p + 46 + 3. Calculate the common denominator of (-128)\/18 + -14 + p and 111\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*y = 26, 4*c = 3*y + 9 + 1. Let i = c - 4. Suppose 4*u - 8 - 12 = i. Calculate the highest common factor of 2 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-63)\/4 - (-18)\/(-24) and 43\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -57 + 5*m**3 - 2*m + m - m**2 + 59 - 6*m**3. Let v(k) = -k**3 + 24*k**2 + 53*k - 25. Let n be v(26). Determine z(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2376 - 4.7624. What is the nearest to o in 2\/7, -0.2, 1\/10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r - 30. Let t be w(-3). Suppose -14*a - 27 - t = 0. Let z(b) = b + 4. Calculate z(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3758898 and 1352.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08896 to three decimal places.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -554*q + 165*q - q**2 + 2*q**3 - 4*q**2 + 3*q**2 as u*q**2 + s*q + w*q**3 + z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16127902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 8. Give c(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14343869 to the nearest integer?\nAnswer: 3787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*h + 23*h + 3, -5 = v - 5*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((3\/41)\/(693\/22)). Suppose -7*t + 8*t - 3453 = -4*r, r = -t + l. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -266750 >= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8786?\nAnswer: 2, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - u**2 + 2*u - 2. Let d be g(0). Suppose i = 6 - 5. Sort d, 4, i in descending order.\nAnswer: 4, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*h + 18*h = -5*s + 33 - 55, -5*h - s = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -7\/2 (b) -1 (c) 0.2 (d) 834\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 31. Let y be w\/10 + 18\/45. Suppose -l = -4*k + 12, -y*l = -2*k + k - 4. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*j - 249*j + 20 + 989*j - 245*j - 249*j.\nAnswer: j + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000556825394 rounded to 6 decimal places?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 184715*p**3 - 184696*p**3 + 33*p + 369410*p**3.\nAnswer: -p**3 + 39*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 15*w**2. Let d(s) be the second derivative of -s**4\/12 + 63*s. Determine -4*d(i) - o(i).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -5. Suppose -3*x + z = 2, -x + 5*x - 5*z = -10. Suppose -n - 4*b = 14, 2*b + 28 = -x*n - 4*n. Which is bigger: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10279 (base 13) to base 2\nAnswer: -111000101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 9:47 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 104432029 to the power of 1\/3, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -170632, -170630, -170628, -170626?\n\"Answer: 2*d - 170634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423689 (base 12) to base 14.\nAnswer: 1d2129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 7*k**2 + 9*k + 17. Calculate the least common multiple of i(-5) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 - 106. Let o = 101 + g. Calculate the greatest common divisor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*a - 2, -34158*a + 2 = 34155*a - 68314*a for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061468 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*353509.\nAnswer: -176754.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(sqrt(7) + (sqrt(175) + (sqrt(175) - (sqrt(175) - -2*sqrt(175))) - sqrt(175)) + sqrt(63)\/(sqrt(27)\/sqrt(3)))**2.\nAnswer: -1787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 18*o - 227. What is c(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (5*3*sqrt(180) - (sqrt(180) + -1 + -2)))*4 + -5)**2.\nAnswer: -8736*sqrt(5) + 564649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (464\/(-87580))\/(16\/(-40)). Suppose -6*o = -3*o. Is o > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/491752960 and 59\/15360.\nAnswer: 2950517760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 9. What is the nearest to p in -2\/3, 6\/11, -1?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2. Let g(n) be the third derivative of n**6\/360 - n**3 - 11*n**2. Let b(y) be the first derivative of g(y). Give 9*b(x) - 4*r(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -620853*j*m - 59752432*j + 8*m wrt m.\nAnswer: -620853*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -11)\/(-2) - -2. Let h(q) = q**3 + 4*q**2 - 2*q - 5. Let r be h(c). Let j = r + 3. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) - (-6)\/(-4). Let w(b) = 78*b**2 + 2*b + 1. Is w(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-0.066\nAnswer: 0.0462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x - 3. Let t be s(-3). Suppose -4*c = -2*c - 4. Let i be (-12)\/(-6)*c\/4. Calculate the greatest common divisor of t and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3089 or 964?\nAnswer: 964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + 0 + (-1 - 0) + -1 - (-2837 - -2845)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3054603\nAnswer: -5\/3054603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -105, -105, -93, -63, -9, 75, 195?\n\"Answer: o**3 - 7*o - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14\/11 (b) 0.14909 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33993 or 33983?\nAnswer: 33993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45.017 + -45. Let k = -0.437 + y. Let j = 3.58 - k. Which is the third biggest value? (a) j (b) -5\/3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18411444 and 869832?\nAnswer: 110468664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - 0 - 33\/11. Let p be 13\/m - (-3)\/(-5). Suppose 4 = 4*b - 2*n, 3*n - 4 = -p*b + 6. Calculate the remainder when 5 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11240 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32\/167 or -1?\nAnswer: 32\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**3 + 5. Let v be k(1). Suppose h + v*h = 72. What is the lowest common multiple of 22 and h?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1\/11566835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 2*k**2 + k + 20. Let s be w(0). Suppose 38990 = s*j - 13*j. Round j to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/((-801)\/3204).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2368 + -3?\nAnswer: -236b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -16. Let y(s) = -4*s**3 - s**2 + s + 1. Let j be y(-1). Suppose -q + 12 = j*q. Calculate the highest common divisor of n and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - ((4 - -58) + 24)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-4 + 7)\/(-771)) + 2. Let l = a + -155. What is the remainder when l is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(4\/(-10) + 77\/55). Suppose 3*y - 696 = -5*a, p = y + y - 4. Does 23 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + -5. Let n = x + 29. Let v = 14 - 9. What is the biggest value in v, 1, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.8984 rounded to 1 dp?\nAnswer: 253.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o. Let w(k) = -4*k. Let a(g) = -5*m(g) - 6*w(g). Let n be a(-1). Let l(j) = -j + j - j - n - 4. Calculate l(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -90, 4, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 13*h - 278. Calculate q(8).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 - 169. Let c = x + 63. Solve 4*l = 20, -4*l = -c*w - 2 - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (5 - -1 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1538416?\nAnswer: 2, 11, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/s**(-3)))**(-41)*s*s\/s**(-1\/2)*s*((s*(s*s*s**(-3))\/s*s)\/s)\/s assuming s is positive.\nAnswer: s**(167\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 232532045585 - 232532045585.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 9*k + 32. Suppose -7*l + 3*l + 20 = 0. Suppose n = l*n. Solve n = -2*u + k, u = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 - -144. Suppose 0*m - m = -2*q - 4, -a = -5*m - q. Let o(j) = j**2 - 5*j + 6. What is the hundreds digit of o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16127a - -7a?\nAnswer: 161349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 21083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 21027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 - 1 - (152 + -193)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -221000 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26f0 (base 16) in base 9?\nAnswer: 14605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 297883.6 years?\nAnswer: 3574603.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3257677*b**3 - 1362*b**2 - 1362. Let x(w) = -16749*w**3 - 7*w**2 - 7. Give 7*j(k) - 1362*x(k).\nAnswer: 8399*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 170, 215, 234, 227, 194?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -14731*n - 176539. Determine x(-12).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2807690545017 and -0.28.\nAnswer: 2807690545016.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7243 > 7243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939 greater than 1939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w = 3*v - 61, 4*w + 68 = 4*v. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 70*c**2 - 155*c + 80.\nAnswer: 5*(c - 1)**2*(c + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 + 9*a**2 - 4*a + 137. What is x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/98)\/(-17 - (-119273)\/7007).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:08 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1595 + -1593. Which is the closest to 1? (a) -0.6 (b) -15 (c) 0.1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.323616 centuries?\nAnswer: 632.3616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 242870 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/23)\/x*x\/(x\/(x\/(x**1\/x))*x)*(x*x\/x**(-1))**(-14) assuming x is positive.\nAnswer: x**(-987\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 16 = -4*a - v, 2*a + v - 7 = 0. Let p = 22 + -16. List the prime factors of 20\/3*p\/a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-48) - 1\/(-2). Suppose 74 = -7*t - 150. Let c be t\/24*(-6)\/10. What is the second smallest value in c, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1899 is divided by 1854?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, -52, -39.\nAnswer: -170, -52, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + n + 10970164470 - 10970164470 + 3*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.09 and -244356948863?\nAnswer: 244356948862.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -463, -1586, -3771, -7372, -12743?\n\"Answer: -59*n**3 - 2*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(((-1)\/(-1))\/11). Let z = n - -20. Calculate the remainder when (3\/(3\/(-2)) + 0)\/((-12)\/312) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Suppose 5*q - 210 = -5. Suppose -7*y + 8 = -q. Let k(d) = -y*d**2 + 4*d + d**2 - 4*d. Give n(k(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*n**4 - 7*n**4 + 6*n**4)*(-n - 2*n + 4*n + (3*n - 2*n + n)*(-1 + 4 - 1)).\nAnswer: 50*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52623757?\nAnswer: 52623757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3123 - -1853. Let l = 2316 + w. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13821 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/5 + h**4\/5 - 4*h**3\/5 - 4*h**2\/5.\nAnswer: h**2*(h - 2)*(h + 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10*i - 8. Let o(t) = -10*t - 7. Let a(c) = 6*h(c) - 7*o(c). What are the prime factors of a(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1291 and 22518913?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4762770 and 101\/450?\nAnswer: 71441550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3096616.348 and 0.5?\nAnswer: 3096615.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -121105*u - 121112. Give b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**2\/3 + 110*k - 325\/3 = 0.\nAnswer: 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 370, 776, 1550, 2812?\nAnswer: 4682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, s: 2, a: 1, l: 1}. Give prob of picking 1 a and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42916 and 265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 m, and 1 x when four letters picked without replacement from wxxmzoxwwmllxolol.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -23265.3 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 57 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -36*q**2 - 13*q - 4. Let v(j) = -24*j**2 - 9*j - 3. Calculate -7*v(s) + 5*x(s).\nAnswer: -12*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 10 = -2*b. Suppose 0 = -b*m - 13 + 63. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3217014 and 14085.\nAnswer: 16085070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 18*j + 26. Give g(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/275409 and -32\/1917.\nAnswer: 826227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263417 is divided by 333?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 26\/3895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59389, 59402, 59419, 59440?\nAnswer: 59465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1195 + 1203. What is the remainder when 117 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -16. Let j be p\/(-8) - (-3)\/(-12). Let x be (j\/(-6))\/((-17)\/(-51)). Which is the smallest value? (a) 0.3 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 1657310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2372521 or 16607643\/7?\nAnswer: 16607643\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {o: 5, n: 3, w: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/5 - -1 - 5\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytcyyhkhuhhhhcy. Give prob of picking 1 u and 1 y.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 86021.46ns in milliseconds?\nAnswer: 0.08602146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.55 - 4.6. Let n = -2700 + 2697. Which is the closest to -2\/41? (a) 0.1 (b) t (c) -0.2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1581\/102*(-6)\/3)\/1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 6*v + 7. Let p be t(-5). Let b be (-27)\/5 + 14\/35. List the prime factors of (-1 + p\/5)*b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**3\/3 + 3*q. Let y(p) = -5*p. Give y(t(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 2*u**2 - 5*u**2)*(-3*u**2 + 3*u**2 + 2*u**2).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c + 225. Let i = -45 + c. Which is bigger: 14\/13 or i?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291640979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 589 (b) -2 (c) 328081\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 236 and 7306.\nAnswer: 862108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 0*u**2 - u**3 - u**3. Let a(b) = b**2 + 5*b - 2. Let l be a(-5). Let t be j(l). What is the greatest common divisor of t and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2 + 465752*s + 465748 = 0.\nAnswer: -116437, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s - 2*l, 13*s = 11*s - 5*l + 4. Solve -15 = -2*z + s*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**2*v**4 + 128441*j**2*v**3 - 3*j**2*v**2 + 16*j**2*v + j*v**2 - 152*v + 3 wrt v?\nAnswer: 24*j**2*v + 770646*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*k = 17, -2*k - 10 - 3 = -t. Suppose t*l - 183 = 37. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*g - 56*g**2 + 249*g - 130*g - 71*g**2.\nAnswer: -127*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/(-224)*938\/24 and 31\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, p: 2, s: 6, y: 6, m: 3}. Give prob of picking 1 y, 1 p, and 1 j.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/21)\/(10\/20)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1206600535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 63, 78, 93, 108, 123?\n\"Answer: 15*u + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.703 - -0.503. Let g = -2.3 + 1.1. Let s = -0.2 - g. What is the closest to s in i, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 15. Suppose 2*z + 4 = u. Which is the nearest to 1\/3? (a) 0.1 (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92478637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19241\/2216 + 16\/277. What is the common denominator of i and -25\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 120\/8015659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let x(b) = -b. Let r(v) = 2*s(v) + x(v). Let k(m) = -3*m - 3. Determine -k(t) - 2*r(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 16 - 9 = 0. Suppose 2*h - 57 = -h. Calculate the remainder when h is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-777)\/(-3256)*92\/161.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.92035 litres to millilitres.\nAnswer: 99920.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 2*l - 124. What is the smallest common multiple of l and 21?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*k = 3 - 6, 32 = -4*t - 4*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6298 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j - 11. Let n = -24 - j. Let h be (-1)\/2 - 10\/n. Is 10 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/(6\/45). Suppose -5*t - o = -1604, x*t - 648 = 3*t - 2*o. What is t rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2648464, 2648465, 2648466, 2648467, 2648468?\nAnswer: 2648469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/98168 or 0?\nAnswer: 1\/98168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4615 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 523 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) -7 (b) 3 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2*88\/12. Let q(p) = -2*p - 4. Let i be q(-3). Solve -4*l = -4*a + 12, i*l - a = -4*a - z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 675 - 608. Calculate the remainder when p is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33506084 and 247460?\nAnswer: 167530420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 19. Let h = i - -11. Solve 0*k = h*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8566115725 to the nearest integer?\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**3 + 204*v**2 - 5*v**3 + 2*v**3 + 10*v**3 + 600 - 602 to t*v**3 + y*v**2 + u + p*v and give y.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0703 and 1523.\nAnswer: -107.0669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 10. Let o(y) = y**3 + 5*y**2 + y - 5. List the prime factors of o(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15636827?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is c10b (base 14) in base 10?\nAnswer: 33135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.311 + -7.75. Let n = c - 1.47. Let l = n - 0.0910058. Round l to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 2:18 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 3*j + 3*j - 4*j**2 - j - j**2. What is the remainder when 72 is divided by k(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 919362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 67. Solve -3*d + 4*l = -8, -r + 42 = -5*d - 2*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*r - 57 = -3*j, -3*r + 95 = 5*j. Which is bigger: 18 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-3) - (-8)\/12. Let y = 137\/210 + -19\/42. Factor y*r**k + 0*r**2 - 2\/5 - 3\/5*r.\nAnswer: (r - 2)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -724 (b) -0.02 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 14*v**2 + v + 7. Let t be u(-14). Let m = -6 - t. What is the units digit of (m\/4)\/((-5)\/(-220))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -7\/8, 26, -0.8, -0.21?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010000 + 1001110101110010111?\nAnswer: 1001110100111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/64612061 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-10))\/((-3)\/2640). Let f = s - 481. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8975 and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752)*2 - sqrt(3993)*-2)\/(sqrt(33)\/(4*sqrt(243))).\nAnswer: 1656*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/1*((-20)\/65 - (-4189)\/16614)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 + -49. Let i = q + -22. Suppose n = -3*b + i, 2*b + 2*b - 42 = 2*n. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 23*k**3\/6 - 21*k**2\/2 + 19*k. What is the derivative of x(n) wrt n?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1863 - 1847. Solve -87 + 7 = -z*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 4*z**2 - 10*z**2 + 0*z**2 + 3*z**2 - 2*z**2 - 2*z**2 - z**2 + 2*z**2 + (3 - 3 - z)*(-5 + 5 + z))*(50*z + 12 - 12).\nAnswer: -400*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:27 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, u: 7}. Give prob of sequence kuuu.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/9)\/l)\/l**4)\/(l**(-5\/6)\/l*l**(-4)) assuming l is positive.\nAnswer: l**(13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/447 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**3\/2 - 4*f - 3. Let k(u) = -10*u. Calculate w(k(s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3))\/(4\/(-18)). Suppose 0 = a + a + 6, -c*a = w - 3. Suppose -2*y = -5*y + w. Calculate the remainder when 7 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-7)*(-9 + 16) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 3\/9 + 10\/15. Let h(g) = 5*g**3 + 3*g**2 - 2*g. Let k(j) = -19*j**3 - 13*j**2 + 9*j. What is n*k(q) - 9*h(q)?\nAnswer: -7*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*h - 395 - 256 = 225 + 312 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4959, 4946, 4931, 4920, 4919, 4934, 4971?\nAnswer: 5036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 934146539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-88)\/9) + -4 - 6. Let o = 11\/18 - p. Sort 3, -4, 4, o in descending order.\nAnswer: 4, 3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d + 2. Let y be t(1). Find the third derivative of 5*v**y + 6*v**2 - 4*v**5 - 3*v**2 wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s + 2, 5 = -m + 3*s. Let i be -2 - (1 + (-8 - m)). Suppose -5*x - 2*j + 5 = 0, 3*x - i*j - 8 = 16. Solve -t + 0*t - x = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3817 - -3817. What is the biggest value in 1, h, -12\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38483351\/623 + -61771. Is b <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0293 - 1228.0293. Let h = t - -1241.74. Let c = -0.94 + h. Round c to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 3 + 5 + p**2)*(-38 + 9*p + 38).\nAnswer: -18*p**3 + 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 50\/(-140)*(7 + -27)\/10. Which is the closest to -2? (a) 0.1 (b) 3 (c) -5\/6 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-648)*-12*3\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 + n**3 - 10*n**2 + 15*n**2 to j + p*n**2 + o*n + v*n**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3312 - -4740. What is the greatest common factor of f and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -12*u**2 + 29 + 10*u + 6*u + 13*u**2. Let f be t(-13). Let l = 61 - f. List the prime factors of l.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50323*u**3*x**2 + 13352*u**2*x - 3*u*x**2 wrt u?\nAnswer: -301938*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -73*f**2 + 60894*f - 10025. What is i(834)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 17. Let h be m(6). Sort 2, 3, h, -2 in descending order.\nAnswer: 3, 2, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4589 - -4629. Calculate the remainder when 2517 is divided by v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -246, 134, -2\/209?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -2*t, 4*t = -4*f - 16. Sort 5, f, 3, 4 in ascending order.\nAnswer: f, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -371, -404, -437, -470?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -3d?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5067, 4891, 4597, 4185, 3655, 3007?\nAnswer: 2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -122 + 125. Solve i*a - 4*a = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Let q = 3347 - 3338. Which is the second smallest value? (a) 5 (b) -1\/5 (c) u (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**3 + 252*a**2 - 956*a + 708 = 0.\nAnswer: 1, 3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 8792*y**2 + 11033. Let i(s) = -2*s. Calculate q(i(m)).\nAnswer: -35168*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - f + 3. Let g(h) = 5*h**2 - h + 6. Let b(p) = -6*g(p) + 11*z(p). Let o(n) = 9*n**2 + 6*n + 4. Determine 6*b(x) + 5*o(x).\nAnswer: -3*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -30. Let c be (1047000\/(-9))\/(q\/(-15)). Round c to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -926, -2034, -3512, -5318, -7410?\nAnswer: -9746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -625 - -629. Solve 0 = -v*y - 2*s + 3 - 5, 0 = 5*y - s + 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(243) - (2*sqrt(243))**2) + -5 + ((sqrt(243) - (6*(sqrt(243) - sqrt(243)*2) - sqrt(243)))**2 - -5*(sqrt(243) + 1)**2))*-2.\nAnswer: -31586 - 198*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/(-8) + (-426)\/568\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -395 divided by -5\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 22*y**2 + 2. Let x be d(2). Suppose 4*n - 4*o = 60, -5*n - 4*o - 6 + x = 0. Calculate the remainder when 31 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Let p = 2.00003 - q. Round p to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531320 a multiple of 359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1) + -1 - (204 - 198).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -106545, -213086, -319627, -426168?\n\"Answer: -106541*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 11. Let p(w) = -w**2 + w - 1. Determine p(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 556*l**3*n - 2*l**3 + 611 wrt n.\nAnswer: 556*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33400502 - 3?\nAnswer: -33400505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 126, 86, 34, -36, -130, -254?\n\"Answer: -q**3 - 33*q + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 422 + -422. Let f(t) be the first derivative of m*t + 5 + 3\/2*t**2. Let z(l) = -4*l. Calculate z(f(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 - 20*w + 875\/3.\nAnswer: (w - 35)*(w - 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*x - 2*x. Let o be (-3 + -18)*6\/x. What is the tens digit of (-4)\/(-10) - o\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/(-14)*1\/(6\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394659.\nAnswer: 7, 31, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -0.04, 5.\nAnswer: -3, -0.4, -0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -4. Let o(r) = r**2 - 6*r + 3. Let n be o(h). Solve -t = -v - n*v - 1, -15 = 5*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/3 + 30674*d + 92021\/3 = 0.\nAnswer: -92021, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v - 228 = -20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -8259446 - 19340554. Round w to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*x - 36, 7*x - 40 = 2*n + 2*x. What is the remainder when 30\/(1 + 0) + -2 is divided by (-1 - 1 - n) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6)*x**22)\/(((x\/x**(-12))\/x*x)\/(x*x\/x**20)) assuming x is positive.\nAnswer: x**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -372200 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 - 0)*(-8 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 + 57. Let k = -1.5 - -2. What is the third biggest value in k, b, 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9.467019 milliseconds?\nAnswer: 0.009467019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 22. Suppose 14 - 4 = 5*t. Let p = t + n. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1\/q)**(3\/4)*q\/q**(5\/3)*q**1)**(-2\/11) assuming q is positive.\nAnswer: q**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 7. Let h be c(-4). Suppose -h*y + 4*w + 6 = -2*y, -3*w = -y + 5. Suppose 3*p - 5*b = -3*b + 8, 0 = p - 4*b + 4. Solve -10 - y = -p*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k - 376427 = 573280. List the prime factors of k.\nAnswer: 3, 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -379079402.8 less than -11514?\nAnswer: 379067888.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (-45)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 30. Suppose 508*q = 491*q + 170. Calculate the least common multiple of (16 - q) + -3 + 6 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225059, 225053, 225037, 225005, 224951?\nAnswer: 224869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 12:43 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293, 295, 297, 299, 301, 303?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000703 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-90) + -1 - 0.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - -0.6. Let p = w + -1.2. Let d be 168\/(-70) + (-6)\/(-15). Put -3, d, p in increasing order.\nAnswer: -3, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-25))\/((-24)\/(-15)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 9 + 0 - (95 + -79).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (17 - 16)\/((-3)\/(-9)). What is the greatest common factor of o and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 7606.\nAnswer: -15212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**3\/3 - z**2\/2 + 54*z + 2. Let j(w) = -w - 19. Let t be j(-19). Is p(t) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**3\/6 + d**2\/2 + d. Let i be (25\/(-10))\/((-1)\/2). Let h(s) = -2*s - s - i*s + 7. Determine h(f) - 6*m(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*y - 983*y - 1242*y - 190527 = 0 for y.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 - 17 = -6*z. Suppose 60 = -z*h + 31*h. Let x(l) = 9*l. Let o(s) = -s. Determine h*x(q) - 40*o(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 100. Let m be u(-23). Let o = m - -66. Is o bigger than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 113 + 5b3?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 4823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28581188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5090657.00059 - -5090714. Let g = 55.733 + 1.267. Let n = g - b. What is n rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.487 (b) 2\/3 (c) -0.05 (d) 17\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6173, 6219, 6265, 6311?\nAnswer: 6357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/11 and -121\/9044.\nAnswer: 99484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {i: 2, b: 5, v: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9\/13 - -32\/65. Let i = 0.5 + -0.3. Put i, c, 6, -1 in decreasing order.\nAnswer: 6, i, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 3*s - 5. Let o(v) = 1. Let m(c) = g(c) + 3*o(c). What is the remainder when (-1)\/(-2)*-1*-62 is divided by m(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2882 or 37464\/13?\nAnswer: 2882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 536 + 25373. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34886, 33977, 33068, 32159, 31250?\n\"Answer: -909*c + 35795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001771 rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from wmmxxwwmooxxxmm?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124*h**4 + 14*h + 7 wrt h.\nAnswer: 1488*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -731be (base 15) to base 8.\nAnswer: -1310550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/2 and 11\/57215912.\nAnswer: 57215912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 = 3*l - 7, 0 = -4*j + 12. Suppose -35 = -l*x - 5*x. Calculate the remainder when x is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6*2\/4*12. Solve 6 = -m + 5*m - d*l, -4 = 3*m + 2*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 727 by 44.\nAnswer: 727\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -957132*y**5 + 824183*y**2 wrt y?\nAnswer: -57427920*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/(-10))\/((-570)\/475). Solve 4*d - 5*k = -11, 2*d - u*d = 2*k + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17298321461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -3\/49?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -139*d + 2217. Determine x(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/6 - 2*h**2\/3 - 26*h\/3 - 40\/3.\nAnswer: (h - 10)*(h + 2)*(h + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 12 = -2*w, -4*t + 17 = 3*w - 4. Suppose -5*v - 15 = r + 3*r, -3*r - 9 = t*v. What is the units digit of (-1)\/(3\/171*v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377933.17 rounded to the nearest 1000?\nAnswer: 378000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025818459 rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 49. Let l = u + -16. Let k be ((-8)\/18)\/((-8)\/(-84))*-3. What is the highest common divisor of k and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 48?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - 5. Let a be ((-24)\/v)\/((-6)\/(-380)). Suppose a = z + 3*z. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l + 21*l + 14*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*j + 0*j - 2*j)*(-j**2 + 0*j**2 - j**2) to the form i*j + q + f*j**3 + g*j**2 and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d + 58*d - 33 = -r, 4*r = -d + 126 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7818900 by -2010.\nAnswer: 3890","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -416.5 - -417. Which is the closest to -0.1? (a) v (b) 0.14 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 136784.7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 5*h - 26. What is l(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1797051 to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuzuuuuuuuz. What is prob of sequence zuz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -933aa (base 11) to base 14\nAnswer: -3791b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 6, 218.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212040?\nAnswer: 2, 3, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4984\/(-77))\/4 + (-4)\/(-22). What is the least common multiple of 1 and 1 - (n - -12)*2\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/29, 3, 13, -0.1, 2\/11, -1.48, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-14)\/126*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 581922.3 years?\nAnswer: 581.9223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 15. Let n(h) be the second derivative of -h**6\/240 + h**5\/40 + h**4\/12 + 4*h. Let a(s) be the third derivative of n(s). Determine a(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04554095 and 111.733?\nAnswer: 111.77854095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -325*r**4 - 120*r**3 + 4*r**2.\nAnswer: -r**2*(5*r + 2)*(65*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9169720, 9169724, 9169730, 9169738?\nAnswer: 9169748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 17*o + 8. Let f be d(-17). Suppose 3*v - f*v = -5*p - 40, 3*v = 4*p + 24. Calculate the greatest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - v**2. Let o(j) = -7*j**3 + 2*j**2 - 1. Determine 2*l(p) - o(p).\nAnswer: 5*p**3 - 4*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 25788?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g + g)*(0*g - 4*g + 2*g)*(6*g + g + 1 - 3*g) + (133*g - 133*g - 4*g**2)*(16*g + 6*g + 4*g).\nAnswer: -120*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11351*a**2*t**2 - 3*a**2*t - 581*a*t + 35*t wrt t?\nAnswer: 22702*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 6:54 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2103162 divided by 1.\nAnswer: 2103162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -4. Let q = -8 - h. Let y = q - 1.3. Which is the nearest to 5? (a) -1\/2 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from {r: 2, s: 3, y: 2, t: 2, b: 1, h: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.077 + 0.052. Let u = -0.225 - x. What is the biggest value in 3, -4, -1\/2, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7674 - 6827. What is the highest common divisor of 2233 and y?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - z - 34, -28*i + 23*i + 29*z + 10 - 10 = 26 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -6 (c) 0.1 (d) 4 (e) -0.019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42469 - 42469 - 8*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + p = 12, 11 + 10 = 3*f - 4*p. Let m be 17\/f + (-5)\/(-15). Suppose -18 = -q - m. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035208.\nAnswer: 2, 129401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 76556413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -102, -2, -6132 in descending order.\nAnswer: 4, -2, -102, -6132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Let r = -6\/29 + -4\/261. Let v = -122845 + 122844.88. What is the smallest value in v, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/7 and 43\/1190117.\nAnswer: 8330819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*g + 6*g = -9, -2*g - 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -582, -2423, -5492, -9789, -15314, -22067?\nAnswer: -30048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 161445 divided by 8?\nAnswer: 161445\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1780.\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + n**2 - 2*n. Let r be -7*(6*(-2)\/(-4))\/(-7). Let m(q) = -9*q + 2546*q**2 + r*q - 2551*q**2 - 2*q. Give m(j(o)).\nAnswer: -5*o**4 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*((-28)\/(-6) - 0). Let o(x) = -385*x + 45. Is o(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((-442)\/(-85)*5).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 5*x**2 - 7*x + 41. What is the remainder when 9041 is divided by t(-5)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*f*h**3*i + 2*f*i - f - h**3*i + 23*h**2*i - 2*h*i wrt f?\nAnswer: 7*h**3*i + 2*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/26, -1, -1\/11, 0, 2 in increasing order.\nAnswer: -1, -9\/26, -1\/11, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-1.450808.\nAnswer: 5.803232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 27*t**2 - 63*t - 2. Let q be b(3). Solve -6*n = -64 + q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1367331 times 36\nAnswer: -49223916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/607032 and -40\/278223.\nAnswer: 6677352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, z: 3}. Give prob of picking 3 z and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 - 179*s**2 - 1046*s + 342. What is h(65)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 35121 (base 7) to base 12\nAnswer: 5246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88224 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.463? (a) 3\/79 (b) -0.06 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 293958356336 + 2.\nAnswer: 293958356338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2281004*m**2 + 209 + 481 - 2281007*m**2 - 346*m wrt m?\nAnswer: -6*m - 346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**7)\/m)**(-8\/19) assuming m is positive.\nAnswer: m**(56\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 708 times 1474.2\nAnswer: 1043733.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(11) + -2 - sqrt(396).\nAnswer: -5*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 215754819?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -83*g**2 - 15*g + 450. Let k(s) = -21*s**2 - 4*s + 120. Let w(h) = -4*f(h) + 15*k(h). Let l(n) = -n**2 - 134*n. What is l(w(q))?\nAnswer: -289*q**4 - 2278*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37, -22, -1, 32, 83?\n\"Answer: n**3 - 3*n**2 + 17*n - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -a409 (base 16) to base 5\nAnswer: -2320433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4401986, -4402007, -4402028, -4402049, -4402070?\nAnswer: -4402091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 115 = -4. Calculate the remainder when 82 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5289*p + 3201. Is l(3) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -288*r. Let z(t) = 2*t**2. Give z(q(a)).\nAnswer: 165888*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53990605447 less than -0.9?\nAnswer: -53990605447.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*v + 17045 = 220*v - 8132 - 13547 for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8001 - 1064. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -1)\/((-2)\/(-4)). Let j(f) = 4*f**3 - 7*f. Let u(l) = l**3 + l**2 - l. Let h(a) = -j(a) + 3*u(a). Give h(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16762, 33240, 49730, 66238, 82770, 99332?\nAnswer: 115930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqppqpqq. Give prob of sequence ppp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = b + 84. What is the lowest common multiple of (b + -9)*(-8)\/(-10) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 110*n - 1848 = 0 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + u - 2. Let b(o) be the first derivative of o**3 - o - 2. Let j(d) = d**2 + 3*d - 338. Let g be j(17). What is g*c(k) - 3*b(k)?\nAnswer: -3*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a = -37*a + 1050. Solve 5*c = 19*c - a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24191)\/(-833) + -29)\/((-2)\/(-28)) + (-5192)\/(-77)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 109725.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j + 8. Let k(p) = 26*p + 7 - 33*p + 2 + 13*p. What is 4*k(w) - 5*x(w)?\nAnswer: -w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 + -0.05. Let m = -510.66 + 510. Let r = t + m. Which is the nearest to 0.1? (a) 0.04 (b) -2\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38131.\nAnswer: 17, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 3*z + 4. Let v be t(3). Let r(u) = 15*u + 6. Let k be r(v). Suppose x + k = 3*x. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 388 + -386. Solve 0 = 3*q - w*d - 19, 4*q + d - 10 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/11? (a) 4 (b) 0.5 (c) -2\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2. Let h(w) be the third derivative of 0*w**3 + 0*w + 0 - 1\/12*w**4 - 2*w**2. Give r(h(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -128 + 3*q - 24*q**2 - 18*q**2 + 2*q**3 - 130 + 277 - 4*q. Determine n(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1731111 to the power of 1\/2, to the nearest integer?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 1066356312182.7.\nAnswer: 1066356312182.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7 = -l, 3*l - 7*t + 32 = -2*t. Let y be 4 + (-4)\/((-12)\/l). Let g(j) = j + 1. Let a be g(-6). Sort -3, -1, y, a.\nAnswer: a, -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12479 - 12479.000003775. Round p to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1.071373, 0.3, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -13. Suppose -4*j + y = -217 + 33, j - 46 = -l*y. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10746 and 7164.\nAnswer: 21492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from accrrrcwrwrr. What is prob of sequence wc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 23 - 3, y + 4*p + 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -37947185 greater than -37947189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = -530. List the prime factors of q.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**2 + s. Let g be h(-1). Let r = g - -10. What is the nearest to -1 in -2, 0.2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 21 (c) -14 (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l**2 + 1. Let v be m(1). Let x(i) = i**3 - 11*i**2 - 11*i - 3. Let j be x(v). What is the greatest common divisor of 72 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 5*i + 0*i)*((-2*i + i + 2*i)*(2*i**3 - 3*i**3 + 0*i**3) + (5*i**4 + 5*i**4 - i**4)*(2 - 5 + 1)).\nAnswer: 38*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from snddnndnnsnnddn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 360*o + 23 + 361*o - 727*o as r + c*o and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-3 + -3)) + (-6 - ((2 - 0) + 25))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*a = 69*a + 24089. What are the prime factors of a?\nAnswer: 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4421?\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n**2 + 3*n + 3. Let g(h) = -27*h**2 - 8*h - 8. Let i(b) = 3*g(b) + 8*v(b). Let w(k) be the first derivative of 4*k**2 - 131. Calculate w(i(x)).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 89*s + 2. Let j be p(2). Let i = -195 + 71. Let m = j + i. Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5482 + 24421. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 654, 1288, 1918, 2544, 3166, 3784, 4398?\nAnswer: 5008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18866 plus 0.1?\nAnswer: -18865.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -38*k**5 - 837*k**4\/2 - 2519*k**3\/2 - 717*k**2\/2 + 4095*k\/2 + 27 = 0.\nAnswer: -6, -3, -1\/76, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llwwwllwwwlwlwwlllww?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27 * 0.2.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**3 - 1877*w**2 - 90*w - 1. Let y(m) = m**3 - 469*m**2 - 20*m. Give 2*h(d) - 9*y(d).\nAnswer: d**3 + 467*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 112 - 112 = u, 3*u = -5*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 123813*k**2 + 247605*k - 371421.\nAnswer: 3*(k - 1)*(k + 3)*(k + 41269)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 3. Let i = w - -2. Let p = 17\/69 + 122\/345. What is the second biggest value in 0.1, i, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75256.9474 to the nearest 100.\nAnswer: 75300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*-2*sqrt(66))\/(5*(sqrt(150) + (sqrt(150) - 3*sqrt(150)))) + 0.\nAnswer: 36*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*u**2 + 2079*h**3 - 7*h**2*u**2 - 679*h*u**2 - 9*u wrt u?\nAnswer: -2*h**3 - 14*h**2 - 1358*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78165, 78166, 78169, 78174?\nAnswer: 78181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 174 = -7*w. Suppose 108 - 44 = 2*y + 4*j, -y + 35 = 3*j. Suppose -y = -t + 2*c, -3*t = 2*c + c - w. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 943*l + 1 - 480*l - 578*l.\nAnswer: -115*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 988\/3 or 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 118 = 2*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*d + 300 = 8*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-32)\/(-6))\/(4\/18). Suppose -4*i + 35 = n, -32 = 3*i - 7*i - 4*n. Let o = g - i. What is the remainder when o is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaasas. Give prob of picking 3 a and 1 s.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2194)\/(-290) + 19\/551.\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -1 + (-20 - (0 + -13)) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15617 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 3*x**4\/4 + 10*x**3\/3 - 6*x**2 - 12*x + 1. Let w(v) = 2*v**3 + 7*v**2 - 8*v - 8. Let p(c) = 5*b(c) - 7*w(c). Factor p(a).\nAnswer: (a - 2)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6377 - 3159. Is 26 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-199)\/1194*(1\/(-5) - 116\/(-130))?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -676 - -682. Let i(d) = 4 - j*d**3 + 12*d**2 + 5*d**3 + 5*d - 7*d**2. What is i(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 7. Let h be ((-10)\/5)\/(c\/(-18)). Let u = h - -36. Does 23 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1\/938264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 447, 0.1 in decreasing order.\nAnswer: 447, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109 - -109.2. What is the nearest to 1 in a, -0.05, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - -1) + (-1 - -2). Let t(k) = -k**3 + 10*k**2 - 142*k + 1008. Let r be t(8). Solve r = 4*a, 2*c - z*c - 2*a + 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, j: 4}. Give prob of sequence rr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(13) - 5*sqrt(208) - (-4 + sqrt(52)\/sqrt(4)) - (sqrt(13) + (sqrt(13) - sqrt(130)\/(-2*sqrt(10))) + -5)))**2.\nAnswer: -1620*sqrt(13) + 26649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -174*h + 320. What is the tens digit of o(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 1\/3*j**3 + 3*j + 0 + 0*j**5 + 0*j**4 - 1\/10*j**6 + 0*j**2. What is the second derivative of f(s) wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9298, -9301, -9316, -9343, -9382?\nAnswer: -9433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 104880 + 419120 = 0. Round p to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 0*u + 3*u + 5*u**3 + 7*u - 2 - 8*u - 3*u**2. Let v(p) = -9*p**3 + 5*p**2 - 4*p + 3. Calculate -5*j(q) - 3*v(q).\nAnswer: 2*q**3 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 + 166. Suppose 0 = -4*m + 20, 8 = 3*l + 5*m - c. Solve -4*h = t + l, -2*t + 14 = -2*h - 0*t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15)\/(5 + -2)*(10 - 36).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(29\/(-3)*2796\/466)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21\/4, 4, -2\/7, -2?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 7*y**2 - 4*y - 5. Let n be k(6). Let o = -18682 + 131230\/7. Let l = o + n. Does -1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28860 - 28866. Which is the nearest to i? (a) 2 (b) 3 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uau when three letters picked without replacement from aaaaaaauu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 24. Let w = f - 47. Let h be (-42)\/w - 6\/(-33). Solve 3*g + 5*q + 15 = 0, -4 = -h*g + 5*q - 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 31*t**2 + 2*t - 5. Let w be z(31). Let a = 9 - -18. Calculate the remainder when 38\/w + (-626)\/(-6) is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 418 - 0.9081868831.\nAnswer: 417.0918131169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 902*b + 22989. Determine u(25).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = 8*w - 74 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281\/435 - -4\/87. Which is the nearest to -0.1? (a) 5\/3 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*(-87)\/203*-133?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 2*h + 1890*h**2 - 3778*h**2 + 1858*h**2.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w**4\/2 - 1534*w**3 - 178518*w**2 - 6278080*w - 1779200 = 0.\nAnswer: -278, -80, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1462711 - 4?\nAnswer: 1462706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 2. Let h(k) = 16*k + 17. Let t be h(-1). Put -4, z, t in decreasing order.\nAnswer: t, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011574 rounded to four dps?\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 1, l: 2, j: 1, b: 2, r: 1}. Give prob of picking 1 b, 1 z, and 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 3:46 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -35 (b) -1\/3 (c) -108 (d) -1 (e) -2\/9 (f) -0.08 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12293\/3840 + 1\/768. Which is greater: y or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-15) + (-188)\/320)\/((-25035)\/33380)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o + 520 = -15*o. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 10:42 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_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: Is -5\/1304 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23254079329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12*f - 5. Let n(k) = -3*k**2 + 29*k + 131. Let y be n(13). Determine v(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 178 - (1 - 1) - 0\/(-7). Let h = 216 - x. What is the greatest common factor of 114 and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j. Let q(b) = 2. Suppose -t - 3 = -5. Calculate t*a(c) - q(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z - 50. What are the prime factors of o(-23)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/h**(1\/6)*h*h)\/((h\/h**(6\/17)*h)\/h) assuming h is positive.\nAnswer: h**(427\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1001526756 divided by -333842252\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)*k**7 assuming k is positive.\nAnswer: k**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130.2 - 145. Let u = -15 - a. Which is smaller: 11 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -25\/46, 2, -1, 259, -3\/2?\nAnswer: -25\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 292 + -61. Let i = 47 - 26. Calculate the highest common factor of i and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 952707, 952706, 952705, 952704, 952703, 952702?\n\"Answer: -w + 952708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 10:26 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + 16 + -9 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -18241.\nAnswer: -10\/18241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + 3. Suppose 0 = -27*y + 26*y. Let g be d(y). Solve -g*a + 6 = -0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(612)*2 + ((sqrt(612) - (0 + sqrt(612))) + sqrt(612) + sqrt(612) - sqrt(612)) + 1 + sqrt(612))*5*-4)**2.\nAnswer: -38400*sqrt(17) + 15667600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 37. Let p(t) = -4377*t - 32 + 25 - 17 - 14. Let u be p(j). Round u to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20958 and 5.\nAnswer: 104790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -109*z. Let t(k) = -5075185*k. Give o(t(u)).\nAnswer: 553195165*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*q - 624 = 0, 2*q - 607 - 1 = -2*k. Let f = k - 306. Let w(z) = -z**2 + 2. What is the remainder when w(0) is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/7 + 20*m**3\/7 - 18*m**2\/7.\nAnswer: -2*m**2*(m - 9)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 9445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136961541 to the power of 1\/3, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) + 15\/(-9). What is the tens digit of 15 - ((-3)\/1 - z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + 35. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -95*o + 209. Let p be k(-5). Calculate the greatest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m**2 - 125*m + 7. List the prime factors of v(15).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*198\/(-96) + (-2)\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) -0.2 (b) -12 (c) 14 (d) -1 (e) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from gcfcgcccccmfjcmcj.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62489587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 15. Let m(z) = -3178*z + 948. Let t(i) = 3*b(i) + m(i). What is the first derivative of t(c) wrt c?\nAnswer: -3181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4 + 5 + (sqrt(1300) - sqrt(1300)*2) + -2 + (sqrt(1300) - (sqrt(1300) + 1 + sqrt(1300))) + 1*sqrt(1300)*-3)**2 + -2)*-1.\nAnswer: 800*sqrt(13) + 130008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 39*l + 4277 = 0. List the prime factors of l.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -531824 divided by -7?\nAnswer: 531824\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/7)\/h*h**(-1))**28\/((h*h\/h**4*h**(-1\/4))\/(h**4\/h*h**(-5))) assuming h is positive.\nAnswer: h**(-207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14881\/5954 + 2\/2977. Let l(z) be the first derivative of 0*z + z**5 + 0*z**3 - 9 + 0*z**2 + r*z**4. Solve l(u) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*l + 5*u - 0, -5*u = 4*l - 36. Let k(a) = -a**2 + 3*a + 5. Let r be k(l). Is (r\/4)\/(8\/2144) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 33. Let s = 15 + x. What is the remainder when 54 is divided by s\/(52\/28 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 - 4*d - 3*d**3 - 20307 + 20308 + 5*d**3 + d**2 - d**2. Let n be (-2)\/9 + 75\/(-27). Calculate b(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3417 + 3416. Which is greater: l or -740\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 661 + 2*b**2 - 8*b**4 - 7*b**3 - 661 + (-b**3 + 3*b**3 - b**3)*(3*b - b + 0*b) + b**4 + 2*b**2 - 2*b**2.\nAnswer: -5*b**4 - 7*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:36 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5. Determine l, given that 2*l**2 - 4*l + l + o*l - l = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75142065.\nAnswer: 3, 5, 5009471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2110100201020 (base 3) to base 13\nAnswer: -369699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/4)\/((-61710)\/20812) and -129\/850.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/8*2*0\/(-2). Solve 12*u + 34 + 26 = h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*r - 15. Let o be 0 + 2 + 6 + -5. Let v(b) = -4 - 3*b**o + 16*b**2 + 2*b**3 - 9*b**2 - 6*b. Calculate v(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4066098.88 to the nearest one hundred.\nAnswer: 4066100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 484 and 8800.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvzbgbvvvgbvvvvbbvl. What is prob of picking 3 b and 1 v?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8060 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + t - 2)*(-4 - 4 + 6) + (3*t - 6*t + t)*(-4 + 2 + 4) as v + r*t and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5381610347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81.7355 - 89.735496. Let p = -120 + 128. Let y = i + p. What is y rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40673297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10298 is divided by 3415?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -159\nAnswer: -31.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 14 = 2. Is 0 - j\/(-5) - 57741\/(-285) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - g + 50. Determine s(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.038, -3\/4.\nAnswer: -1, -3\/4, -0.038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 16 - 35 = 0. What is the remainder when o is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -11885.\nAnswer: -33\/11885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.01, 2017, -5269 in ascending order.\nAnswer: -5269, -1\/3, 0.01, 2017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o - 139. Give j(20).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 25*t**2 - 3*t + 2. Let u be m(1). What is the second smallest value in -3, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 9 - -8 - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11760528 divided by -2256\nAnswer: -5213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -287657 divided by 6\nAnswer: -287657\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164356 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 251\/(-35) - (-57)\/95. Sort h, 0.3, -6 in decreasing order.\nAnswer: 0.3, -6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, 5.58, -491?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 8 + 12)*(-4*a**5 + 4*a**5 + 2*a**5) + a**5 - 1 - 54*a**2 + 54*a**2.\nAnswer: -27*a**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) 2\/3 (b) 3\/11 (c) 46\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = z + 2*u, z + u + 6 = -10*u + 8*u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 16 = -2*h, -2*h + 22 = 3*h - 3*v. Let n = -41 - -12. Let r = -25 - n. Solve r = -2*i, 4*l + 26 = -i - h*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153 (base 7) to base 2.\nAnswer: 1010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57886?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (20 - (-12 - -13 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 2\/(-2))\/1. Let c = s - -5. Suppose -c*v = -v - 27. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-115)\/(-2)*36\/10 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -3 - (-9 - (-2 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 + 110.2. Let x = -0.43 + 0.03. Which is the nearest to 1? (a) z (b) -1\/15 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/5)\/q)\/q*q*q**7)**(-2\/13)*((q\/(q*q**0*q))\/q)**(-49)*(q*(q*q**(1\/4)*q)\/q*q)**(-10) assuming q is positive.\nAnswer: q**(8403\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*u + 56, -5*h + 10*h = -2*u + 83. Suppose s = 4*l + 6, 2*l = -5*s + 35 + h. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*b*q**4 + 11*b*q**3*w - b*q**2*w - 10*b*q**2 - 696*b*q*w + 113*q**4 + q**3 wrt q?\nAnswer: -312*b*q + 66*b*w + 2712*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1239 divided by 7\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*f)*(0 + 1 + 1) + f - 4*f + 0*f + 2*f + 3*f + 2*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 28*i - 2. Let n be h(-1). Let k = -4 - n. Let u = 30 - k. Solve 0 = -u*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*k + 9570 - 47970 = 0. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*k**2 + 348*k - 754 - 226*k + 13*k**3 - 131*k wrt k.\nAnswer: 39*k**2 - 10*k - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/((-290)\/4))\/(264\/(-55)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7751 and 0.1.\nAnswer: 775.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/4, -3, 146, 9.48?\nAnswer: 9.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*b - 2*b**2 - 1 + 44*b**2 - 27*b - 2*b**3 + b**3 to the form y + r*b**2 + z*b + d*b**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1228699.47347 + -15.47347. Let z = -1228683.9469973 + d. Let m = 0.053 - z. Round m to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000059 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 32*n**2 - 36*n + 94. Determine o(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002002 (base 3) to base 7.\nAnswer: 6353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-7)\/3 - 20\/132\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12241 divided by -11324?\nAnswer: -12241\/11324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = v - 19, 2*w - 4*v - 29 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*o - 40*o + 66. Calculate the remainder when 98 is divided by o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p. Let w(r) = 17912*r**2 - 2. Give u(w(x)).\nAnswer: 89560*x**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/95, -4, -0.05 in descending order.\nAnswer: -4\/95, -0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-8)\/4 - 62\/16.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -85986 and -4.82?\nAnswer: 414452.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 837*c + 874*c + 66 = 15*t + 1708*c, 5*t - 4*c - 28 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 174\/24 - 3)*4. Suppose 2*z + 2*u + 288 - 1104 = 0, 3*z = -y*u + 1226. List the prime factors of z.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 131269*f + 262542.\nAnswer: -(f - 2)*(f + 131271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9)\/((-628)\/15543)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-5))\/(l*l*l**(1\/5)\/l)*l\/l**(1\/12)*l\/(l\/l**(1\/4))*(l*l**(-3)*l\/l**(-10))**15 assuming l is positive.\nAnswer: l**(3929\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2 + 112*d + 3136 = 0?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*c - 1248 = 111*c. Sort -38, -1, 2, c, -3.\nAnswer: -38, c, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 + 6874*o**2\/3 + 5909920*o\/3 + 5903048\/3.\nAnswer: 2*(o + 1)*(o + 1718)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153634 is divided by 38406.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1254052500 - 115?\nAnswer: 1254052341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubiiz. What is prob of picking 1 i, 1 u, and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -42052051?\nAnswer: 42052051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 238350569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10152)\/140*1)\/(57\/(-190)). Let i = -5062\/21 + v. Determine n, given that -1\/3*n**2 + 0 + i*n = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 25*m + 103. Give z(14).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-76)\/190)\/((-2)\/5). Let n(a) = 94*a**2 + 2*a. Does 4 divide n(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/7 + 3442*n\/7 - 37983\/7 = 0. Calculate n.\nAnswer: -3453, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*d**3*i - d**3*r - 928*d*i*r + 4566*i**2 - 31997270*r wrt i?\nAnswer: 15*d**3 - 928*d*r + 9132*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 5*s - 14, -1 = 2*f + 4*s + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1515211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, l: 7}. What is prob of picking 2 l and 1 w?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 7*t - 1. Let a be k(-7). Let m = a - -48. What are the prime factors of m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3777399 is divided by 56379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 2*f - 1. What are the prime factors of w(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9465, -9379, -9291, -9201?\n\"Answer: u**2 + 83*u - 9549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = -4*g + 15*u + 16424, -5*g + 20518 = -2*u. Is 73 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010 (base 2) to base 11.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*d + 458*d + 334*d - 347*d + 527*d.\nAnswer: 1297*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 + 0*v**2 - v**2 + 16*v**2 - 45 + 45 - v**2 - 3*v**2 + 5*v**2 + (2 - 2 - 2*v)*(6*v - 5*v - 3*v).\nAnswer: 23*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 2821878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60486\/7 + 8636. Is -0.053 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -2. Suppose -y + 21 = y + h*f, -4*y + 27 = 5*f. Suppose 0 = y*r + 2*r - 150. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20291, -18562, -16833, -15104, -13375?\nAnswer: -11646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 1\/19 (c) -3 (d) -2\/35 (e) 1 (f) -2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 b, and 1 g when four letters picked without replacement from xuugbbbxbbb.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*2\/(-90) + 334\/9. Suppose -2*w + 22 + q = 3*a, 3*a = -15. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 26 + 8 = -t, -3*t + 5*h + 70 = 0. Let d(o) = o**3 - 6*o**2 + 13*o - 10. What is the lowest common multiple of d(4) and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3 = -2*j. Let i be (-1 - 20\/(-16))\/j. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 11*n**2 - 18*n - 54. Determine d(-13).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.03 - 4. Let a = c + 0.47. Put a, 1, 2 in ascending order.\nAnswer: a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*r - 20 = -522*r - j + 5, -r - j + 9 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -11. What is the least common multiple of (21 - i) + (-3 - -2) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4 - 33246*u**3 - 26202384*u**2 - 4965744768*u + 10036564992 = 0.\nAnswer: -376, 2, 11832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 + 17620*k**3 - 35225*k**2 + 17610*k.\nAnswer: -5*k*(k - 3522)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1075085777*g**3 - 880339362*g**2?\nAnswer: -6450514662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*r + 8 = 2*w, -16 = -5*w - 2*r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186270.12 months to decades.\nAnswer: 1552.251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136785126 is divided by 66.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19113574 rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 504450 divided by 33630?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 430647388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 34 = 5*m, -m = 3*u - 3547 + 3525 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**4\/4 - j**3\/3 + j**2\/2 - 2*j + 12. Let h = -110 - 102. Let w = 214 + h. Calculate f(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 6. Let x be t\/(-6) - 2\/(-4). What is the units digit of x\/(-4) - 25\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/3814891 and -75\/436?\nAnswer: 15259564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.9021 * 2.\nAnswer: -39.8042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 72. Let q be (2*(-1)\/6)\/(c\/(-36)). Factor 2\/11*g**3 + 6\/11*g**q + 6\/11*g + 2\/11.\nAnswer: 2*(g + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -4.7?\nAnswer: -1.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 589 - 588.79. Which is the biggest value? (a) 1 (b) q (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -10*f + 38. Let u(n) = n**2 + n + 3. What is u(f)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 352\/64*(1 + 15)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -88*z - 31. Let g(o) = 85*o + 32. Let i(r) = 5*g(r) + 4*q(r). What is the derivative of i(v) wrt v?\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.561 + 1.15. Let k = -0.311 - u. What is the closest to k in -4, 5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/41)*u)\/(u*u*(u*(u\/u**(-1\/25))\/u*u)\/u*u))\/(u\/u**(-1\/5)*u*u**(-13)))**(-16) assuming u is positive.\nAnswer: u**(-128064\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 0*y - 2*y + 0*y. Let g(n) be the first derivative of -179*n**2\/2 + 21835. Determine g(w(b)).\nAnswer: 358*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5206381*m**5 - 1302326*m wrt m.\nAnswer: -104127620*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 14498 in descending order.\nAnswer: 14498, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p - 55. Calculate t(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12140548?\nAnswer: 2, 7, 59, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 10:04 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234057 is divided by 56.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 44*g**3 + 3*g + 8. Let x be m(9). Let y be (-9)\/(-72) + x\/8. Let n be 1\/4 + y\/72. What is the greatest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 7. Suppose 3*o = 4*r - 13, -2*o - 12 = -4*r - 2. Let v = 2 + o. Sort 3, u, v in descending order.\nAnswer: 3, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/(-12) + 0)*4. Let v = g - -9. Find the first derivative of 3*j**4 + v*j + 4*j - 6*j - 2 wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34916939 to the power of 1\/2, to the nearest integer?\nAnswer: 5909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.75 to 1 dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -13398 - 3*y + 6700 + 6698 - 7*y. Let b(a) = 380*a. What is b(o(i))?\nAnswer: -3800*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8.44. Let k = -0.04 + h. What is the second biggest value in -1, -2\/9, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 135720397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/4*u**2 + 0 - 6*u + 3\/4*u**3.\nAnswer: 3*u*(u - 1)*(u + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-296546\nAnswer: -29654.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -112109215*p**4 + 136767636 with respect to p.\nAnswer: -448436860*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/31)*v)\/(v\/v**(-11)))\/(v*v**(-2\/39)*v)**17 assuming v is positive.\nAnswer: v**(-53273\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0 (c) -84039\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, 11, 8\/3, 0.2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -579*o - 3430. Calculate the remainder when 9809 is divided by y(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2856, -2350, -1510, -336, 1172?\nAnswer: 3014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -315\/2 - -159. Which is the nearest to -2? (a) h (b) -0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 7:16 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 466 = 2*p - 252, -3*p = -5*r - 1102. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(10)\/sqrt(5) + sqrt(2)))\/sqrt(2).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890018059.\nAnswer: 7, 1303, 97579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**5\/270 + 5*g**4\/18 - 56*g**3\/27 + 24*g**2. Factor i(a).\nAnswer: -2*(a - 28)*(a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 + 1272\/20 + 5. Let k = z - 64. Solve -3*d = -4*d + k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*f = 149*f - 306*f + 1875 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7997543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 16. Let c be g(13). Suppose -c*n - 1 = -7. Let k(s) = 12*s + 0*s**n - 8*s - s**3 + s**2. What is k(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46308*v - 42466*v - 280466 = 0 for v.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 7:35 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140 - -339. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7173483.911531 - 0.1?\nAnswer: -7173484.011531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5 = -3*c, 4*c - 73*r + 72*r = 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3204, -3165, -3120, -3069, -3012?\nAnswer: -2949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, x: 3}. What is prob of picking 3 x and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**6\/120 + 4*w**5\/15 + 17*w**4\/24 + 11*w**3\/2 + 5*w**2. Suppose j + 2*j + 45 = 0. Let i be s(j). Solve -i = b + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**5\/20 + 2*d**2. Let v(o) be the third derivative of o**5\/60 + 6*o**2. What is v(z(t))?\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44529, -178805, -402603, -715923, -1118765, -1611129, -2193015?\nAnswer: -2864423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 283 + -283.365. Let u = 0.335 - o. Which is the closest to 1\/5? (a) 3 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**3 - 105*h**2 - 3*h - 59. What is y(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:56 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44525*n**3 + 31720*n**3 - 18193*n**3.\nAnswer: 58052*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116023123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1878309771046939*c**2 + 1878309771046939*c**2 - 3*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 255*h**3 + 15*h**2. Let f(a) = -15*a**3 - a**2. Let y be 65\/(-390) + 211\/6. Let j(n) = y*f(n) + 2*p(n). Factor j(g).\nAnswer: -5*g**2*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 5*b, -h = 2*h + 4*h - 13*b + 8*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*h + 2 = -n, 2*n = 5*h - 2. Let g be (((-82)\/2)\/n)\/(-13) + 3. Let y = -21\/52 - g. What is the closest to y in -4\/5, -1\/7, 0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*q**2 + 100*q**2 + 45*q**2 + 80*q**2.\nAnswer: 286*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-10))\/((-6)\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1049677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 263 - 264. Let t be ((-3788)\/(-4))\/(-3 + 1 - s). What is t rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -2*n + 14*a - 12*a, -n + 21 = 4*a for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/53, 0.1, 2, -110, 1\/3 in ascending order.\nAnswer: -110, -8\/53, 0.1, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -23326?\nAnswer: 23321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/174950 and -11\/40938300.\nAnswer: 40938300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 102*s**4 + s + 320 + 100*s**4 - 252 as u*s**3 + x + z*s + p*s**2 + r*s**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 49*h**3 - 2*h. Let i(x) = -489*x**3 + 21*x. Suppose -3*q = -l - 1, 4*q + 3*l + 227 - 198 = 0. Determine q*i(y) - 21*m(y).\nAnswer: -51*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 49 = 19. Which is the nearest to 1\/2? (a) j (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 62715?\nAnswer: 1\/20905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48777?\nAnswer: 3, 71, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 - 93*w + 54. Give m(25).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30153 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/2 - (-2 + 0). What is the tens digit of (7*1)\/(h\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/1478437 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21 + -1)\/(6*(-7)\/21). Solve -x*b + 15 = -6*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -d + 6, -10*x + 12*x = -2*d + 6. Let b(w) = -w**3 + 4*w - 4. Give b(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*d - 40*d + 3*d**3 + 76*d.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 2*l - 4*w - 24, 3*l + 3*w = -18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218 - -205. Let u be (v - -13)\/((-1)\/(-1)). Which is smaller: u or -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3246*q - 377734 = 11996*q - 572*q + 135716 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*z + 0*z - 17*z - 29 to j + h*z and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12288 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2202\/5 + 24132\/55. Calculate the common denominator of -97\/8 and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 242220 to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 0, 5451431 in descending order.\nAnswer: 5451431, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36400 divided by -4550.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 - -38.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(0*w + 2*w + 0*w) + 1118*w + 3 - 543*w - 529*w.\nAnswer: 50*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 - 12*h. Let t(z) = -z**2 - 4*z. Let s(d) = -6*b(d) + 17*t(d). Let a be s(-5). Let q = 8 - a. Solve q + 3 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -7*w**6\/3 - 5*w**5 + w**4\/2 + 389*w**2 - 5093. Find the second derivative of k(v) wrt v.\nAnswer: -280*v**3 - 300*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 q when three letters picked without replacement from rqrqqzlzqrmzrr.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, g: 6}. What is prob of picking 2 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5, 0, -1037, 2, -6 in descending order.\nAnswer: 16, 5, 2, 0, -6, -1037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, m: 7}. What is prob of sequence iim?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3988784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 335148*n + 335151.\nAnswer: -3*(n - 111717)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w + 38. Let p be k(17). Suppose 0 = -p*y + 7*y - 60. Solve 2*m + y = 7*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 - 2*a)*(1 - 2 + 0) - 3*a + 4*a + a)*(0 - 1 + 3) to k*a + w and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 38. Let u(x) = 9*x - 7 - 22*x + 2*x**2 + f*x + 2. What is the units digit of u(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6666572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 (base 10) in base 4?\nAnswer: -10322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 79?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07161 to three decimal places.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 13 - 9. Calculate the least common multiple of w\/44*(37 + -1) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -39.9. Let o = -24 - -74\/3. Which is the third biggest value? (a) o (b) m (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d493 (base 14) to base 4\nAnswer: 102103321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -301, 1341, 5, 20 in descending order.\nAnswer: 1341, 20, 5, 2, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -9*c + 9. Let y be (-4 + (-7)\/(-2))*(c - 20). Let h be (-2)\/(-1) + 0 - -8. Solve 3*o - h = y*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*((s**(-2\/17)*s)\/s)\/s)\/(s*s\/(s*s\/(s*s*s**7)))*s**4\/(s*s\/((((s\/s**15*s)\/s)\/s)\/s)*s) assuming s is positive.\nAnswer: s**(-410\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44972844 and 12?\nAnswer: 44972844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 430*u + 6 = -436*u, -4*h = 2*u + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8077233 is divided by 4038580.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-231)\/(-12))\/11*(-199)\/(2912763\/738)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 93047 and 93030 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 990.8369 decades?\nAnswer: 9908.369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (-9 + (-5 - -3) + 51)) + 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -209010, -418016, -627024, -836034, -1045046?\n\"Answer: -g**2 - 209003*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7225661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54352\/(-2839892))\/(2\/11).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53086 + 187*f + 53086)*(-3*f + 0*f + f) + 3 - 3 - 2*f**2 + (2*f**2 - 5*f**2 + 2*f**2)*(-2 - 1 + 0) to i*f + l*f**2 + k and give l.\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12688 + 7*n**3 + 12413 - 7*n**3 + 5*n - 2820*n**4 wrt n?\nAnswer: -33840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4223 - 253351\/60. Let q(m) be the third derivative of 0*m + 0*m**4 + 0 + w*m**5 + 0*m**3 + 11*m**2. Let o(p) = -p**2. What is o(q(c))?\nAnswer: -841*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:20 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3 = 2*u, 4*u + 2*k + 2 = -8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045*n + 1013*n + 736 = 0 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x - 4. Let l be k(1). Let y = l - -6. Suppose 1 + 19 = y*i. Solve -i*v - 15 = 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 158625 and 6.6513.\nAnswer: 158631.6513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a = -5*s - 37*a - 8, -4*a = 4*s + 16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/13 + 994462*s**3\/13 + 9944484*s**2\/13 + 31822208*s\/13 + 31822144\/13 = 0. Calculate s.\nAnswer: -497221, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 19*y**3 + 4*y - 3. Let k be w(1). Determine l so that -100 + 282*l**3 - 4*l**4 + 75*l**2 - 292*l**3 - l**4 - k*l = 0.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w = -6. Let n be 1\/2 - 9\/18. Suppose -4*s + n*s + 4*b - 8 = 0, 3*b = 5*s + 10. What is the smallest value in 0.4, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/210*2\/7*140\/(-20).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2316 - -3532. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 13*r - 5. What is k(7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*x + 147084 = 1720*x + 1732*x for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68912573 is divided by 2656?\nAnswer: 2653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/3)*p)\/p)\/(p\/(p*p**1)))\/(p\/((p*p*p**(1\/5)*p*p)\/p)*p*p\/(p\/(p\/p**(1\/10)*p*p)*p)) assuming p is positive.\nAnswer: p**(-11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52 + -106333054?\nAnswer: -106333002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/15050 and -71\/6020.\nAnswer: 30100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20*((-5)\/(-2))\/5. Suppose -g = -2*q - n, g - 3*q = 2*g + 10. Is g greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2137000 to the nearest ten thousand.\nAnswer: -2140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 31*g**3 - 162*g**2 + 3*g + 4. Let v be r(5). Let t be (-6 - v\/24)*4. Suppose 5\/2*q**t + 5*q**3 + 0*q + 0 + 5\/2*q**4 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 831 + -783. Suppose 0 = 7*h - 102 + 39. Calculate the least common multiple of r and h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(4*k**5 + 3*k**5 - 3*k**5) - k**3 + k**3 + k**5 + (k**3 - k**3 - 2*k**3)*(-3 - k**2 + 3) + 127*k**3 - 8*k**5 - 127*k**3.\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1548*t**2 - 622787 + 622787 to the form k + u*t**2 + f*t and give u.\nAnswer: 1548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4888.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 19*q**2 - 3*q - 24. Let a be o(-19). Calculate the greatest common factor of a and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345047508 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 415909 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 < -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 12333\nAnswer: -4\/12333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 10:41 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 17 + 37*v**2 - 18.\nAnswer: 37*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-11 - (0 - 3)). Let p = t + -8. Let x = p + -2. Solve x = -d + 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5825758um?\nAnswer: 0.0005825758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 20\/8*40\/(-25). Let g(d) = 2*d + 9. Let x(r) = 2*r + 8. Calculate b*x(u) - 3*g(u).\nAnswer: 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nono when four letters picked without replacement from {n: 2, o: 4, l: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**5\/10 - 7*b**4\/12 - 5*b**3\/6 + b**2 + 6*b. Let h(f) = -2*f**3 - 6*f**2 - 4*f + 1. What is -5*h(t) + 4*s(t)?\nAnswer: 2*t**3 + 2*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**4\/2 - i**3\/3 + 1. Let j be x(-1). Is 307 - (-4*j)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 114335748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 264*c + 8712.\nAnswer: 2*(c + 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 4*i**2 - 2*i**4)*(0 - 5 + 4)*(311*i - 1338*i - 458*i) + 0*i**3 + 3*i**5 + 0*i**3.\nAnswer: -2967*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-20))\/(9\/12). Let s be ((-190)\/(-20) + -7)*(-2)\/10. What is the second smallest value in -1, h, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 10660248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33485 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 36 = -7*d. Suppose d*s - 162 = -3*b, -2*b + 2*s + 108 = -2*s. What is the remainder when b is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 6*j + 2*c - 77, 0 = 3*j - c + 73. Let x be -9*(2 + 28\/(-6)). Let y = x + j. Calculate the smallest common multiple of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oggmggoooommmomoo. Give prob of sequence ommg.\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -17\/6198?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) -289 (c) -0.3 (d) -0.04 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2106\/522 - 4) + 11 + -11.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d + 13*d + 13*d - 23*d - d**2 - 49*d.\nAnswer: -d*(d + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1128 and 29\/5987988?\nAnswer: 11975976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1974 + -1886. Suppose -d = -2*v + 13 + 3, -4*v = 4*d - 44. What is the remainder when l is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f + 102 + 18 = 0. Let r be (-2)\/(-2 - 2) + (-18)\/f. Solve 4*n - r*i = -0*i + 27, 2*n + 6 = -4*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-141)\/(-282)*-7)\/((-2)\/((-32)\/2)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*r**3 - 75*r**3 - 130*r**3 + 201*r**3 + 193*r**3.\nAnswer: 315*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 14, -507, -1694, -3769, -6954, -11471?\nAnswer: -17542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(1\/2). What is the units digit of (s + -15)\/((-2)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075032971?\nAnswer: 3347, 321193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(-75853 - 867*c**4 + 75853).\nAnswer: 2601*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5020 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 s = -137 - -1235\/9. Factor -s + 2\/9*t**4 + 0*t**2 - 4\/9*t**3 + 4\/9*t.\nAnswer: 2*(t - 1)**3*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 13*t**2 + 13*t - 54. What is b(-14)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 231 = -z, -v - 126*z + 252 = -122*z. Calculate the lowest common multiple of 7 and v.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 80*d**2 + 35. Let u(s) = 9*s**2 + 4. Determine -4*h(i) + 35*u(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*q**2 - 30*q**3 + 5 - 5 + 0.\nAnswer: -30*q**3 + 238*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeeeuueueeeeeeeueu?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4438162*s**2 - 13314486*s**2 + 4438162*s**2 + 4438165*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7*u - k + 71 = 0, 3*u = k + 94. Suppose 0 = -5*a + 104 - 29. Let v = a - 12. What is the highest common factor of u and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 24 = 16*j. Let k be (-1932)\/(-15) + j\/(-30). Calculate the greatest common factor of k and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2644 and -2645 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 2400370\/59 and 40683 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 - -103. Find the third derivative of -7*j**2 + 5*j**2 + 52*j**3 + 4*j**g + 4 wrt j.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-3)\/(-12)*4. Sort q, -5, 6 in decreasing order.\nAnswer: 6, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 7 + (-2 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**2 - x**2 - 3*x**2 + (22*x + 50*x - 45*x)*(5*x + 3*x - 5*x).\nAnswer: 82*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -28 + 15 + -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.203 in 3, 0.1, -0.1, -32, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z - 17*z + 24*z + 284 + 656 - 42.\nAnswer: -2*z + 898","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**5 + 5*c**3*n**3 + 2*c**2*n**3 - c*n**3 - 6 wrt c.\nAnswer: -120*c**2 + 30*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftf when three letters picked without replacement from ttfffttftf.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4382861\/132 + -33204. Calculate the common denominator of 28\/9 and a.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*g + y - 11 = -559*g, 2*g - 5*y + 55 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -22*n**2 - 30*n - 10. Let x(y) be the third derivative of 3*y**5\/20 + y**4\/2 + 2*y**3\/3 + 5954*y**2. Determine -5*g(o) - 12*x(o).\nAnswer: 2*o**2 + 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 81037494 divided by -95789\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 46*r + 51*r + 139, -5*r = -2*t + 86. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 4, 2\/31.\nAnswer: 2\/31, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -301 divided by -43\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = h - 66, -17*t - 46 = -13*t - 6*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89903, 179744, 269585, 359426?\nAnswer: 449267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnn. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 42880*c**2 + 92276800*c - 1465472000.\nAnswer: 5*(c - 4280)**2*(c - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -60. Suppose 6 + 12 = b*y. Solve 3*t + y = -12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12525 divided by -5?\nAnswer: 2505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7*v - 6 = 0. Let g(j) = 2*j**v + 3 - 10 + 5 + 3 - j. Let u be g(1). Which is the nearest to 0? (a) -0.2 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + n + 1260. Suppose -18*q - n = -20*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 836*y + 315810. Calculate k(-378).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3781 + 2*j + 1311 + 1129 - 3*j.\nAnswer: -j + 6221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + 12 - 0)\/1. Solve p*k - 25 = -2*c + 3, -5*k = 3*c - 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 653465405 or -1?\nAnswer: 653465405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*k + 116 = 0, k = m - 42 + 5. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -264610 to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u - 5*u + u + 1 - 3*u to the form n + o*u and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 1 - (-8)\/1. Let j be (6\/8)\/((-2)\/(-16)). Suppose -4*s + j*s = w. Calculate the remainder when 13 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*z + i, 207*i - 204*i = 3*z + 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2*u - 8 = 0, -s - 21*u + 12 = -18*u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32849\/15 + 2190. Let q(d) be the first derivative of f*d**3 - 3\/5*d + 3 + 1\/5*d**2. Determine h so that q(h) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-120)*((-4)\/(-2))\/((-17)\/102)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-795)\/4) + (-12)\/48. Let y = a + -5121\/26. Which is greater: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 1)\/(2\/1965). Suppose 2*q - 1937 = v. Suppose q = -2*j + 6*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 - -1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d61 + 6?\nAnswer: -d59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8091401*b**3 - 37686691?\nAnswer: 24274203*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 123.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 18704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bb489 (base 14) to base 15.\nAnswer: -2031e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-2.4435\nAnswer: -2.2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/12628 and 9\/1394.\nAnswer: 214676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/7)\/q)**47*(q\/q**(2\/3))**(-1\/28) assuming q is positive.\nAnswer: q**(-3385\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4\/5)\/(z**(1\/9)*z))**(3\/5))**(-4\/35) assuming z is positive.\nAnswer: z**(344\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30100144 + 232?\nAnswer: 30100431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1978 (base 11) to base 2\nAnswer: -100111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iayyiyyyyiiiiy. Give prob of picking 3 i.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45\/60*(-3)\/(-9). Which is the second biggest value? (a) -0.08 (b) -0.4 (c) f (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 3*m**5\/5 - m**4\/2 - 12*m. What is the third derivative of j(i) wrt i?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + -3. Let p = t + 9.2. Let q = p + -0.4. What is the third biggest value in q, -0.1, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -17. Let n = 24 + s. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 4*j + 152. Calculate n(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 9378167\nAnswer: 4\/9378167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 548 - 528. Solve -24*k - 16 = -p*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6*f**2. Let h(z) be the first derivative of z**3 - 3. Determine h(u(m)).\nAnswer: 108*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k - 13. Let h be o(-6). Suppose 0 = 3*b + y - 4, -1 = b + y - h. What is the units digit of (1 - b\/(-1))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 585*h - 3690.\nAnswer: 5*(h - 123)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/29 in -0.1, -1\/3, 28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 135*b**2 + 915. Let r(i) = 10*i. What is -3*k(f) + 80*r(f)?\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 297, -4 in descending order.\nAnswer: 297, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**4 - 52*b**3 + 328.\nAnswer: -4*b**3 - 156*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1230, 5287, 12052, 21525?\nAnswer: 33706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-15\/8)\/(u**(-22)\/u)*(u*u*u*u*u**(-29)*u)\/u**7)**(-4\/17) assuming u is positive.\nAnswer: u**(79\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 + -0.4293809?\nAnswer: -1.8293809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*21.37.\nAnswer: 21.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o - o + 4*o. Let n(z) = z**3 - 2*z**2 - 7*z - 5. Calculate n(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 5*a**2 - a**3 - 3 - 4*a**2 - 3*a. Suppose 3*v + 3*w + 12 = 0, -v = -w - 1 + 3. List the prime factors of d(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -7. Let g = -0.23 - 9.77. Let h = g + i. What is the third smallest value in 0.5, h, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076092 is divided by 179348.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -25. Suppose -12*u = -16*u + c. Let o(h) = -2*h**2 + 6*h. Let x(p) = -4*p**2 + 11*p - 1. Determine u*x(v) - 11*o(v).\nAnswer: -2*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 4 (c) 1 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0797 * 1.\nAnswer: 0.0797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, -178 in increasing order.\nAnswer: -178, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 2630 and 2630 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1. Let b(g) be the first derivative of -g**3\/6 - 3*g**2 - 7*g + 7. Let y(a) be the first derivative of b(a). Determine 3*i(l) - y(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -748864 - -5?\nAnswer: -74885a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 640 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rmlrrrrmrr?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 8930\/50167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52647 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * 2439.\nAnswer: -78048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-2 - (3 - 5)). Let f(b) = -4*b**2 + b - 1. Let u be f(1). Let o be 192\/30 + u\/10. Solve l*x = -2*x - o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 5, -5 in ascending order.\nAnswer: -5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -177.35743469657 - -0.5.\nAnswer: -176.85743469657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 7*k**5\/60 - k**4\/24 - 7*k**2. Suppose 5*m - 6 = 2*m. Suppose 3 = z + m. What is g(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 279802.674 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 0.12, 3, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c = -7*c. Let t = -2.05 - -0.05. Sort t, -4, c.\nAnswer: -4, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16840997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*u**2 - 230*u**2 - 167*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 16*c**2 + 5. Let a be m(-16). Suppose l - n = 12, -5*l - 3*n + 54 = -a*n. Calculate the remainder when 16 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9488\/8)\/(1 - 2). Let r = s + 4823\/4. Calculate the common denominator of -121\/10 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 4 = 2*h, h = -3*n + 2. Differentiate -1 + 4 + 5*c**3 + n - 2 wrt c.\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 3. Let h = 1 + m. Does 16 divide h\/(((-3)\/(-96))\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 88.37589 days?\nAnswer: 7635676896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - 0.1. Let d = -258.14 - -261.14. Let l = 56 + -223\/4. Which is the nearest to l? (a) 0.1 (b) d (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from xaralcactttt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*n + 16, -5*n + 21 = -7*n + 5*k. Let c(g) be the second derivative of 0 + 2\/3*g**4 - g + n*g**2 - 3*g**3. Solve c(t) = 0 for t.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5521819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(448)*-5) - ((0 + sqrt(1573) - sqrt(13)) + (sqrt(156)\/sqrt(192))**2).\nAnswer: -401*sqrt(13)\/40 - 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -159, -156, -153, -150?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 14938911.\nAnswer: 4\/14938911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63834817136.7829 + -63718911239.7828981. Let n = v - 115905874. Let y = -23 + n. Round y to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -50*u + 51*u + 4, -2*u - 16 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 22 + 8. Let r(d) = 4*d + 2. Calculate the remainder when (105\/28)\/(u\/(-40)) is divided by r(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from yuyyuyduyyddyyyyyu?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 46878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14870, -29555, -44240, -58925?\nAnswer: -73610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10696418 is divided by 1069637?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-554)\/(-10) - 0 - (-63)\/(-45) and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = u - 17, 17 = -3*u - 3*j + 5*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 78*m**2 - 94*m**2 + 16*m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 h when three letters picked without replacement from wxbxwffwxhwbwxxfwfxx?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/((-12)\/(-9)). Let w - 1 - s*w**3 + 3\/4*w**2 - 1\/4*w**4 = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 85?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -12*y**2 + 15*y - 9. Let r(b) = b**3 - 3*b**2 - 101*b + 314. Let g be r(10). Calculate s(g).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6080567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*k**2 - 9*k**2 - 8 - 13*k**2 - k**2 wrt k?\nAnswer: -58*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024700507 to 5 dps.\nAnswer: 0.00247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -37*u + 262. Let i be m(7). Suppose 2*s + i*b = 129 + 316, -5*b = 2*s - 443. Is s a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.2 (c) 2\/785 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.808 take away 64292?\nAnswer: -64275.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3*v - 2*v - 20 = 0, p + 3*v = -4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 13*w**4\/3 + 4*w**3\/3 - 4*w**2 - 36*w + 6. Let g(m) = -17*m**2 - 3*m + 3. What is -8*g(h) - 3*u(h)?\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20752996*f**2 + 8655459 wrt f?\nAnswer: -41505992*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 313866 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7972552591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -24. Let a be (-15)\/(-6) - ((-6)\/(-4))\/3. Let p = 0 - 1. Put p, a, t in increasing order.\nAnswer: p, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 57\/235, -0.06, -4.\nAnswer: -37, -4, -0.06, 57\/235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*v + 124 - 19 = 0, -2*g = v - 41. Suppose -g*l + 836 = -130. What is the remainder when 194 is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1566 (base 7) in base 11?\nAnswer: -529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001832291 to six dps.\nAnswer: -0.000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*d + 133 - 140 = 0, f - 5 = 3*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**6\/240 - j**5\/120 + j**4\/24 - 2*j**2. Let a(z) be the second derivative of n(z). Differentiate a(y) wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5330 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162009295, -162009288, -162009279, -162009268, -162009255?\nAnswer: -162009240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1401, 1411, 1427, 1449, 1477?\nAnswer: 1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4166152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 240, 63, -120, -309, -504?\n\"Answer: -3*k**2 - 168*k + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18508 and 13220.\nAnswer: 92540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2516?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -260690 * 248\nAnswer: -64651120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8261 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*i + 10 = -6*i, 4*m - 5*i - 22 = 0. Suppose -5*n - 4 + 14 = 0. Suppose n*l - 24 = -l. Calculate the lowest common multiple of l and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -86. Let r = 5 - h. Let v = r + 69. Round v to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10300*p + 133913. What is v(13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 5*f**2 + 4. Let x be v(-6). Suppose 0*g + 4*p = -5*g - x, 0 = 5*p + 25. What is the units digit of (g - -3)*13*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -538a89 (base 16) in base 9?\nAnswer: -11264201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 7.1, -4, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1602 = -19*r + 1716 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9104 != -9085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**4\/4 + 2*v**3\/3 + 2*v**2 - 3*v - 4. Let n be p(3). Solve 3*l + 4*i = -l, i + 2 = n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*v + 1. Suppose -z - a + 0 = -v, 0 = 4*a + 8. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6346337 by -7.\nAnswer: 6346337\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*w - 167 + 111 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + 69*g = -675 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 = 3*z, 3*z + 3*o - 4788 = -4812. Which is the fourth biggest value? (a) -0.4 (b) 2.86 (c) 0 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4542 = 319*j - 1533*j - 898*j + 3906 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -183 + 180.04. Let n = v + 2.98. Which is the third smallest value? (a) -2 (b) -1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.061 + -1.879. Let c = x - 0.06. Let u = c - -1.9999986. What is u rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -75*(-1 - 455\/25). Suppose -4*r = 36*r - b. What is the remainder when r is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:54 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -615\/23, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 300.\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*b - 664 - 1384 = 0 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbe when three letters picked without replacement from {b: 7, e: 4, k: 7}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 1:33 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 15*t + 10. Calculate the remainder when s(15) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0544 less than -0.21462059?\nAnswer: -0.16022059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0096, 278, -0.1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 12 + 43 + 31*i - 18*i**2 + 41 + 0*i**3 + 26*i.\nAnswer: -3*(i - 3)*(i + 1)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23717\/2 or -11860?\nAnswer: -11860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -6*c + 11. Let s(l) = 3*l**2 - 11. What is the tens digit of s(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/14 - 275\/(-7). Suppose r = 5*a - 11. Calculate the smallest common multiple of 4 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.6 * -1066.8\nAnswer: -8107.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4472 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 5*w**2 - 3*w. Let v be s(-5). Let g = -28 - -17. Let u = g + v. What is the smallest common multiple of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14543761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/249)\/(3\/(-6)*46\/(-69)).\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 81 = -5*m - 71, -5*f + 5*m = 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) -70 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + t**2. Let k(s) = 6*s**3 - 5*s**2 - 16*s. What is -5*h(n) - k(n)?\nAnswer: -n**3 + 16*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-828)\/24)\/(-23)*8*(-3)\/126?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 873166 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 8*y - 9. Let m be n(-4). Let c be (-5)\/(-15) + (-42)\/m. Suppose s - c*s = -140. What is the remainder when 67 is divided by s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -16*r**2 + r + 11. Let n be a(0). Let v(g) = 6*g**3 + 22*g**2 + 6*g - 27. Is v(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1297077703 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/14 - 615\/35. Let k be (y\/4*1)\/((-1)\/2). Let g be 7\/(-3)*9*(5 - k). What is g rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-10)\/((-840)\/804)) + (-6)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Let y be -5 - (0 - (-2)\/(-1)). What is the smallest common multiple of 3\/2*(-8)\/y and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -59*y**3 + y**2 - 1224*y + 1221. Determine h(1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*d**2 + 77*d**2 + 4*d + 4*d**3 + 3*d**3 in the form o*d + k + y*d**2 + u*d**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10004.74 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*a**3 + 4*a - 4*a + 5.\nAnswer: 83*a**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204590 = -79*t - 8749. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -1235506\nAnswer: 10\/617753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12631*z + 48 = -12635*z. Let f(u) = 2*u**2 + 2*u**2 + 0*u**2 - 5*u**2. Let p(k) = -10*k**2. Determine z*f(b) + p(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 12. Solve -10 = 2*c, -d*y + 0*y = -4*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -344 - 52.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3980 and 4411830.\nAnswer: 8823660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2370779, -2370440, -2369883, -2369114, -2368139, -2366964, -2365595, -2364038?\n\"Answer: -g**3 + 115*g**2 + g - 2370894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*d**2 + 89*d**2 + 2*d + 3*d - 1)*(-2*d**2 + 0*d + 0*d + (-2 + 2 + 1)*(3*d**2 - 3*d**2 - 2*d**2)).\nAnswer: 16*d**4 - 20*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 194112*u + 194115*u - 388216*u + 420. Give h(-39).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118255 by -5.\nAnswer: 23651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + b**2 + 2*b + 2. Let h be l(2). Let n(f) = -6*f**3 + 2*f - 2. Let d(i) = 13*i**3 - 5*i + 5. Give h*d(z) + 5*n(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 17 = u - 3*b, 5*u - 27 = -3*b. Suppose -2*l = -4*n + u*l + 103, 5*n + l = 165. Calculate the remainder when n is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + (-9 - (-10 + 1)) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 7*o. Let c be m(-7). Let d(h) = -4*h**3 + 3*h**3 + 9 - 2. Determine d(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7314309 to the nearest integer?\nAnswer: 2704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (8134\/(-25896) - 2\/104)*2*111?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 0*t + 7 + t - 11. Determine i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*x + 8*x + 3*x**4 + (-2 - x + 2)*(-701*x**3 - 446*x**3 + 90*x**3).\nAnswer: 1060*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/((-4)\/120). Suppose 3*z = -6 + 3. Let t be z\/(1 - 15\/12). Sort -5, q, 2, t in increasing order.\nAnswer: -5, 2, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3782*y**2 - 3779*y**2 - 3786*y**2 + 18908*y**2 - 3781*y**2 - 3775*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Suppose 4*d - 3 = -z, -2*d = a*z - 0*d - 18. Let o = 13 - z. Solve 3*k = -o - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*l**3 - 35*l**3 - 245*l**3.\nAnswer: -332*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, t: 2, l: 2}. What is prob of sequence ty?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2. Let l be (-1 - 9\/(-27))\/((-2)\/573). Let u(x) = -252*x - 140*x + 109*x - l*x. Give k(u(i)).\nAnswer: -224676*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2051 - -4?\nAnswer: -2047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-3 - -4) + 5. Let m be (-30)\/(-50) - 3\/((-30)\/74). Factor m*d**2 - d**3 - 5*d**3 + 10*d**3 + z*d.\nAnswer: 4*d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 40?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 735674, 1471337, 2207004, 2942675?\nAnswer: 3678350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3140220 (base 6) in base 11?\nAnswer: a4a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2309.408 milligrams to micrograms.\nAnswer: 2309408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -5 - -3 - (67 + -45)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c + 0*c)*(3 - 11 + 2)*(-1 + 0 + 0).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.0025 to two decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 34*d + 2*u = 101, 2*u = -2*d + 66. What is the greatest common factor of 130 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**(-5)*k))\/k*k**(-4)*k)**(-17) assuming k is positive.\nAnswer: k**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 646 = 2*d, 33*d = 3*r + 35*d - 964. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 38 = -4*t + t, -4 = w. Let o(b) = b**2 - 2*b - 3. Let p be o(-2). Factor 5*m - p*m + t*m + 0*m - 3*m**2.\nAnswer: -3*m*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3729899 divided by -272\nAnswer: -3729899\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107187123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31638 = 4*b - 7*j, 0 = 4*b + 11*j - 9*j - 31692. Is b a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28486119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5075805 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.44 + 0.04. Let t be (-1)\/(10\/(-9))*10\/48. Let v = t + 1\/16. Which is the smallest value? (a) v (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 - 6*c**2 - 3*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3730687 to 2 dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/((-3)\/6*3). Suppose -2*u - 19 = -9*d + 4*d, -5*u + 20 = d. Suppose d*y - 3*p = 506, 1 - 11 = 5*p. What is the highest common factor of y and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26071873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 10 = 3*t + 92 - 38, 0 = -2*k + 6*t + 56 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 169*x - 676. Let b be i(4). Let w(d) be the second derivative of -1\/6*d**3 + b - 17*d + 0*d**2. Let c(u) = 16*u - 1. What is c(w(y))?\nAnswer: -16*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32976 + 2*x**2 - 32976.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11545*t**2 - 6187*t**2 - 6904*t**2 to c + u*t + j*t**2 and give j.\nAnswer: -1546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43678580 is divided by 7309.\nAnswer: 7305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91062 (base 11) in base 6?\nAnswer: 2504304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21418 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -193. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 6*o**4\/7 - 118*o**3\/7 - 46*o**2\/7 + 118*o\/7 + 40\/7 = 0.\nAnswer: -1, -1\/3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 6:55 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.252611 to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2. Let q(h) = -223*h + 862. Let w(x) = -45*x. Let b(p) = -q(p) + 5*w(p). Determine b(j(i)).\nAnswer: -2*i**2 - 862","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 238*a**4 - 207672*a + 157283877?\nAnswer: 952*a**3 - 207672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -89 (b) -3 (c) -94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20523, -41107, -61757, -82473, -103255?\n\"Answer: -33*h**2 - 20485*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/265524688 and 71\/11752.\nAnswer: 265524688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -767 - -1535\/2. Let f = -2 - -7. Let l = f - 3. Is y at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f + 23 - 10 - f - 3*f. Let j(z) = -z - 3. Determine -18*j(g) - 4*s(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (5 - 4) + 2. Suppose -3*r - 173988 = -4*m, r - 4*m + 8*m + 58012 = g. What is r rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 637668 by 18.\nAnswer: 35426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + -1 + (-6*(sqrt(70)\/(sqrt(2)*-2) - sqrt(35) - sqrt(35))\/(sqrt(5) - 5*sqrt(15)\/sqrt(3)))**2).\nAnswer: -1543\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -368318*v**3 + 9*v**2 + 4*v + 109 wrt v.\nAnswer: -2209908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5)*d**(4\/3)*d*(d*d\/d**(-4))\/(d**0*d) assuming d is positive.\nAnswer: d**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 54*g - 58*g - 23 = 0, 5*g = -25. Are 1\/4704 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - 2*r + 4*r)*(-1 + 6 + 0) + 2*r - r - 2*r + (-1 + 0 + 3)*(0*r + 2*r - 4*r) - 416 - 12*r + 416 to s + h*r and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -16 + 28 + 2*w - 9. Let p(i) = -2*i - 3. Give -4*p(c) - 5*t(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1392084.62 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34\/5 of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -p + 4*q, -5*q + 14 = 39. Suppose -3*i = -3*r + 9, -4*r - 5 + 21 = -p*i. Solve 3*v = r*v - 3*x - 8, 5*v - 6 = 4*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 125 = 25. Let x(y) = y**3 + 89. Calculate the remainder when x(0) is divided by k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67825\/409 or -167?\nAnswer: -67825\/409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 39. Sort 2, 0, k in increasing order.\nAnswer: 0, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/16 - (-3 - -4). Let m = 0.365 - 1.215. Let u = m - -0.75. What is the second biggest value in u, h, -3\/5, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 3:20 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -30*v - 26. Let z be q(-1). Suppose -3*m + 0*i - 2*i + 1086 = 0, -z*m + 1452 = 4*i. Does 30 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r*s**4*v + 19*r*s**2*v - 57*r + 334130*s**4*v + 2*s*v wrt s.\nAnswer: 48*r*s*v + 8019120*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 15 - 2 = -4*v, 4*h = -5*v - 5. Solve -6*o - 20 = 4*l, l + 2*o + v*o = -12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -21, -2669390 in increasing order.\nAnswer: -2669390, -21, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 671 = 6*u + 599. Solve 0 = -10*q - 2 + u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006726 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 31*q + 115. Let v be g(60). What is the highest common divisor of 50 and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -328.9 + 329. Let f be 3 + -5 + (-12 - 1). Let u = 109\/7 + f. Is j at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 7:16 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - s**3 - 3*s + 0*s**2 + 3*s**2 in the form m*s**2 + o*s + t + g*s**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 9 - 8*d**3 - 21 + 23*d**2 - 44 - 5*d**2 + d**4. Suppose p(j) = 0. What is j?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 4*g + 4. Let i be (-4351)\/(-26) - 2\/4. Let x = -167 + i. Which is bigger: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-197 - (-9 + -118)) + 141\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -100010000001?\nAnswer: -100010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/5, -5, 20, 0.4, 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 26*x**2 + 53*x - 402. Calculate the remainder when o(-22) is divided by 97.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108396865 divided by 2183\nAnswer: -49655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjjblbblblbjb. Give prob of picking 3 j.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**3 + 2*a**2 + a + 2. Suppose 6 = -375*l + 372*l. Let i(w) = -16*w**3 - 10*w**2 - 5*w - 11. What is l*i(g) - 11*s(g)?\nAnswer: -g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t. Calculate z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*n - 9 - 14, -n - 5 = 0. Suppose k*f + 2 = 6. Solve -5*o + f*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216582 = 12839*v - 207105 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 0)**2 - sqrt(7)) + 2 + -3 + 0.\nAnswer: -sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = w - 12, -2*w = 4*k - 28. What is the greatest common factor of w and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -494, -417, -210, 193, 858, 1851?\n\"Answer: 11*k**3 - k**2 + 3*k - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/4 - 64\/(-2). Let d = r - 31. Factor -4\/3*i**2 + 2\/3 + 0*i**d + 2\/3*i**4 + 0*i.\nAnswer: 2*(i - 1)**2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3314 and 115116761.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {l: 1, x: 2, p: 1, s: 1, a: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -88*c - 3335. Calculate x(-38).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**3 + m**2 - m - 1. What is z(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*(2 + 32\/(-8))\/2*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 7. Let f be 12\/(2 + 1) + y. Solve -f*a = -6, 3*a = -4*j - 2 - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 3*n**4\/8 - n**3\/3 + 4*n**2. Find the first derivative of v(o) wrt o.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4368 - 3951 + 1284 = -92*q - 227 for q.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/407 and -21\/370.\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.3442cm in meters?\nAnswer: 0.473442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/4 and 89\/78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwx when three letters picked without replacement from {x: 1, w: 1, v: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320 and 4?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exxe when four letters picked without replacement from {x: 2, e: 3, k: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/(-396) + 1\/11. Let h(g) be the second derivative of -g**5\/20 - g**4\/12 + 8*g**2 + g. Calculate the remainder when 29 is divided by h(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbeebebbbbbb. Give prob of sequence be.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 26*h**2 - 291*h - 118. List the prime factors of i(34).\nAnswer: 2, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519472911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 + -113.53. Let v = p + -0.482. Round v to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3351 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 247*m**3 + 233*m**3 - m.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/4 - 15*n**2\/4 + 9*n\/2.\nAnswer: -3*n*(n - 1)*(n + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -306320 (base 12) in base 13?\nAnswer: -206925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71148634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3\/5, -0.06, -325, 0.3, 2\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5284*-0.5.\nAnswer: -2642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14249, 22, -5, 1.\nAnswer: -5, 1, 22, 14249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11643 + 3646. Let m = 7908 - t. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 13. Suppose 5*v + 29 + 11 = 0. Let f be s(v). Suppose -q + 43 = f*h, -167 = -3*q - h + 5*h. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -35. Calculate the smallest common multiple of n and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6081417 less than 6081477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -81 (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 133741?\nAnswer: 401223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2*o**2 - 2*o**2 + (3 + 0 - 1)*(-2*o**2 + 1 - 1) - o - 2*o**2 + o - o + o + o**2)*(-o - 93 - 12*o**2 + 93).\nAnswer: 84*o**4 + 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41401113 (base 6) in base 2?\nAnswer: 100100100011011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -544 (base 14) to base 11\nAnswer: -866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 206*g**2 - 1723*g + 144320. What is u(201)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -12*c + 924. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 0.67 (b) 2\/15 (c) 187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 3*i. Let m be -4*(4\/(-16))\/((-1)\/(-4)). Let v(w) = 6*w**3 - 6*w**3 - m*w - 3*w - 5*w**3. What is -7*p(q) + 3*v(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96464261?\nAnswer: 947, 101863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -8. Let x(r) = -r**3 - 11*r**2 + r + 8. Let w be x(y). List the prime factors of w\/6 - (-38)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3150 - -3148. Sort -1, 0.23, k, 7 in descending order.\nAnswer: 7, 0.23, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Let c(h) = h**3 - 30*h**2 + 30*h. Let a be c(30). Suppose -3*l - a = -28*l. Calculate the greatest common factor of w and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1295 divided by 155.\nAnswer: -259\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3 + 2 + t**2 - 5 - 4*t. Let h be a(4). Solve 2*b - 2 = -2*i, -2*i + 2 = 4*b - h*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*237891265\nAnswer: 951565060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one fifths of a century?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 19*h**2 + 32*h**2 + 6*h**2)*(4*h - 4*h - 3*h - 2*h + 2*h - 3*h - 3*h + 3*h + 3*h + 3*h + h - 3*h + (5*h - 3*h - 4*h)*(-2 - 1 + 4)).\nAnswer: -76*h**3 - 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = -10. Suppose -11*v = -2*v - 2367. Suppose 2*k + r = v. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and (3 - 0)\/((17 + -9)\/32)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 3*k + 12. Let v be s(-5). Let c = 80 - v. Suppose 0 = 2*m + 6, 3*b - c*m = 2*m + 27. Solve 16 = -5*q - b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3563154799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h*p**3*u + 41*h*p**2*u - 746*h*p**2 + 2*p**3 + p*u wrt u?\nAnswer: h*p**3 + 41*h*p**2 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 25. Suppose c*u = 5*u + 39. Let i(f) = -f**2 + 6*f - 2. Let j(m) = 2*m**2 - 13*m + 4. What is u*i(z) - 6*j(z)?\nAnswer: z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20010 + -22?\nAnswer: 12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -467815.7114 rounded to the nearest 100?\nAnswer: -467800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + 20 + -44 + -66?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.38 + -0.08. Suppose 149*w - 66*w + 1763 = 435. Put w, -3\/7, s, -1 in ascending order.\nAnswer: w, -1, -3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 80*s + 786 = -5*s - 489 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66694.\nAnswer: 2, 33347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -252087600 = -252087600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -24, -0.4, -95 in decreasing order.\nAnswer: 2, -0.4, -24, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/28 + (-10)\/(-35). Let m(d) = -1563*d**3 - 2*d**2 - 3*d - 1. Is m(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*j - 5. Suppose 0 = -2*u + 3*p - 18 + 6, j*p - 16 = 3*u. Let s = -158\/11 + 2392\/165. Does s = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 2 - 2)*(2*q**2 - 5*q**2 + q**2)*(0 + 2 - 4).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.44869 or 419.4?\nAnswer: -0.44869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + 2 - (11 + -6)) + -26 + 26?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 5*o - 2. Let v = 7 - 1. Let i be w(v). Factor -2*l**4 - 3*l**5 + l**i - 2*l**4.\nAnswer: -3*l**4*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 110, 456, 1040, 1868, 2946, 4280, 5876, 7740?\n\"Answer: r**3 + 113*r**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**2. Let r(t) be the second derivative of 4*t**3\/3 + t**2 + 668*t. Determine u(r(y)).\nAnswer: 512*y**2 + 256*y + 32","meta":{"dup_signals":{},"source":"polynomials__compose_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: Let m be 4\/(-6) + ((-4676)\/(-6))\/14. Is m at most as big as 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lliilcyll. Give prob of picking 1 l, 2 i, and 1 y.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 equal to 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5928603?\nAnswer: 3, 1976201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -150?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-14) - 14\/(-49). Let g = b + 6. Solve t + 5*w + 12 = -0*t, 2*w + 21 = g*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrnrn. Give prob of sequence nrnr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000118207 rounded to seven dps?\nAnswer: -0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-6)*(-114)\/(-171)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 8)*(-j + 3*j + 1 + 6*j).\nAnswer: 56*j + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 397730 rounded to the nearest 1000?\nAnswer: 398000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 9*i - 16. Let b be a(11). Suppose 7*g = 4*g + b. Suppose -2*s - t + 11 = 0, -s - 3*t = g*s - 18. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 15*m**2 - 16*m + 409. Determine r(-14).\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2627566 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 3:31 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + b**2 + 1. Let k(y) = y**3 - 2*y**2 - y - 2. Let j = 3 + -1. Let f = -4 - -5. What is f*k(r) + j*c(r)?\nAnswer: -r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1513859109.\nAnswer: 3, 7, 72088529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20941*a - 20941*a + 41884*a + 17.\nAnswer: 2*a + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 235 and 22?\nAnswer: 5170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982 is divided by 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25400649?\nAnswer: 3, 733, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*z - 6*z + 6*z + (-19 + 73 + 7)*(3*z - 2*z + 0*z) - z - z + 0*z.\nAnswer: 49*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 14.9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 76, 569, 1902, 4495, 8768, 15141, 24034?\n\"Answer: 70*b**3 + 3*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -129014852 divided by 29?\nAnswer: -4448788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*g - 14020 + 39121 = 62*g - 35398 for g.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013001 <= 1013014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**15)\/w)**47 assuming w is positive.\nAnswer: w**705","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 55 - 18 + 21)*(12 - i - 43 + 18).\nAnswer: -69*i - 897","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -20) + -11 + 17 + -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 7. Let p be 4\/(-6)*6*17\/(-4). Suppose -c + 4*s + p = 0, -3*s - 2*s - 18 = 2*c. Solve c = f - i*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23, -29, -33, -35, -35?\n\"Answer: i**2 - 9*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1542 < -1547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -3066.919\nAnswer: 42936.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -18*n**2 + 8*n + 2. What is w(-2)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z - 5*z - 6*z**3 + 2 - 2 + 2*z**3 + (1 + 2*z - 1)*(3*z**2 + 3*z**2 - 5*z**2) - 31*z**3 + 29*z**3 + 70*z**3 as q + a*z**2 + l*z + o*z**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01 and 11435868523.\nAnswer: 11435868523.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p - 1. Let g be z(1). Let o be (12\/(-21))\/(108\/(-42)). Let s = 1 - 0. What is the second biggest value in g, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116193 + 116192.9000055. Let a = g + 0.1. Round a to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b - 18*b - 41*b + 16.\nAnswer: -73*b + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -661 + 2631\/4. Let a = 1\/1239 + 60709\/2478. Calculate the common denominator of l and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a - 10. Let v be o(5). Let m(b) = -2*b**2 + 10*b + 25. Let r be m(v). Let g = 434 + r. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3673466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130451 and 1136537.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 3\/53, -0.1, -2086\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3751*p**2 - 1900*p**2 - 6 - 1847*p**2.\nAnswer: 4*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**6 + 36799*g**5 + 15159402*g**2 wrt g?\nAnswer: -360*g**3 + 2207940*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1786.8 + -1790. Is 32 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Let s(y) = 9*y - 6. Let c(v) = -17*v + 11. Suppose 2*n - 18 = -4*f, 6*n = -3*f + 2*n + 6. Let g(b) = f*c(b) + 11*s(b). What is g(r(k))?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434 = 7*w + 427 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 213, 0.03, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4114 - 320204441?\nAnswer: -320214110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 2:29 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20635717 - 0.1?\nAnswer: 20635716.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19212 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258972166 a multiple of 943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 80*f**2 - 141*f**2 + f + 60*f**2. Let x(h) = -3 + 4*h - 3*h - 10. What is x(t(s))?\nAnswer: -s**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -9. Suppose 3*a = -a. Let x = d - a. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -231 + 6931\/30. Let f(z) be the second derivative of a*z**5 + 0*z**2 + 0 - 2\/9*z**3 - z + 1\/18*z**4. Factor f(o).\nAnswer: 2*o*(o - 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 62. Solve b*f = 3*a - 3, a + 13 = 3*a - 5*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*z + 188045 = 0, 128*u - 131*u - 4*z + 141025 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**2 - 10*v - 4. What is a(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1246 divide 32396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 129968.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by 5\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -3*l + 27, -10*t + 0*l - 3*l = -1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -751358 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15641265 to the power of 1\/2, to the nearest integer?\nAnswer: 3955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5 - 25, -f = -5*k + 140. Suppose -5*z + 0*h + k = -2*h, 5*h = 3*z - 20. Solve 0*t = -t, -4*t = -z*n - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v**2\/11 - 560286*v\/11 - 144953172\/11 = 0 for v.\nAnswer: -258, 93639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44\/10 - 4\/10. Let a(n) = -n**2 + 3*n + 7. Let w be a(m). What is the least common multiple of ((-33)\/(-9) - w)*(1 - -5) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*s + w, 2*s + 3*w - 3 = -14. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7249 - 7245. Solve 16*f + y*f = 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 235492 and 5210?\nAnswer: 1177460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084\/(-271) - ((-92721)\/6 - 1\/(-2)).\nAnswer: 7, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i**2 + 15*i - 18. Determine u(-8).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) -6133 (b) 3 (c) 1\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-5) - (-13)\/60. Let z(q) be the third derivative of -r*q**6 + 0 + 0*q**3 - 1\/30*q**5 - q**2 + 0*q + 1\/105*q**7 + 1\/12*q**4. Factor z(j).\nAnswer: 2*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/7 - 2812*s\/7 + 988418\/7 = 0. What is s?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/15 and (4\/7)\/((-450)\/(-3570))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 4)\/(-1 - (-40)\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 14 - 1 = -4*k, -g - k + 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -743654*n**4 - 2*n**3 - 19*n + 114636799 wrt n.\nAnswer: -2974616*n**3 - 6*n**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -25. Find the second derivative of 3*w + 2*w + u*w**5 - 17*w**5 wrt w.\nAnswer: -140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-14))\/(2646\/(-112) + 24))\/(30\/(-147))\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 1, l: 1, d: 1, w: 1}. What is prob of sequence wlo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 20 = -4*v, 0*q + 20 = -4*v - 4*q. Let p = v - -1. What is the remainder when 64 is divided by (-117)\/6*p\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -556 - -10049\/18. Let h = -100\/9 + g. Calculate the common denominator of h and 43\/492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8925 by -1275.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u + 0 - 3*u**3 + 2*u**2 + 3 + 2*u**2. What are the prime factors of b(-2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -11*z - 1. Let y(c) = -c**3 + 5*c**2 + 5*c + 5. Let l = -3 + 9. Let i be y(l). Is k(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9357.583148 less than 1?\nAnswer: 9358.583148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 41*c**2 + 205*c - 1914. Calculate i(-33).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 141, 143, 145, 147, 149, 151?\n\"Answer: 2*o + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a - 36. Let x be n(-15). Find the third derivative of -x*j**6 - 12*j**6 + 17*j**6 - 10*j**6 - 3*j**2 wrt j.\nAnswer: -1680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 73*o - 105*o)*(2 + 4*o - 6*o + 9*o).\nAnswer: -1225*o**2 - 350*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/2)\/y*y**3)\/(y**(-2\/23)*y*((y\/y**(-6)*y)\/y)\/y)*((y\/y**1)**(15\/7))**43 assuming y is positive.\nAnswer: y**(-295\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**4 - 7*o - 4*o**4 - 10*o + 4*o wrt o.\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3 + 0*g**2 + 0 + 0*g + 1\/4*g**5 + g**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 41\/42*r**7 - 2\/3*r**4 + 0*r**5 + 0 + 0*r**6 - 31*r + 0*r**2 + 0*r**3. Find the third derivative of c(p) wrt p.\nAnswer: 2460*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 193, 194, 195, 196, 197?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -350, 397, 1\/5 in ascending order.\nAnswer: -350, 1\/5, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 14. Let c be q(6). Suppose -c*v = -4*v - 12. Solve -9 = -2*f + v*w, -3*f + 2*w - 14 = 3*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4025615ml?\nAnswer: 0.0004025615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302495?\nAnswer: 5, 101, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61.35 - -65.35. Put l, -0.2, -47 in decreasing order.\nAnswer: l, -0.2, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 4. Let z be d(0). Suppose 3*b = -z*i + 79, 4*b = b + 5*i + 124. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537564.\nAnswer: 2, 3, 44797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51442863 is divided by 375?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -1717 + 3*j - 20*j + 1717. Let r(s) = 2 - 2 + 1. Let z(w) = -2*w - 8. Let p(y) = 8*r(y) + z(y). Calculate k(p(c)).\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 22276*j + 29. Is v(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 8*l - 4*l + 4960, -5*t = 2*l - 12340. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 20\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31837 = -8*n - 33*n + 32370 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -3*j + 139. Let g = j - 83. Calculate the lowest common multiple of 6 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2669 + 62)\/79 + -22.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.643328 and -2.17.\nAnswer: -1.526672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 22\/55 - 4390\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3126711 a multiple of 3174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*b + 18, 0 = -2*p - 2*b - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - 12*i**2 - 9*i + 159. Determine r(0).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 92629.\nAnswer: -6\/92629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2444414 take away -54808?\nAnswer: 2499222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*y + 3*s, 0 = 4*y - 0*s - 4*s - 36. Suppose -y*r = 2*r. Suppose r = -v - v. Solve 0*t + 2*t = v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 0 - 14\/5*n**4 + 16\/5*n + 56\/5*n**2 + 36\/5*n**3 - 2*n**5 = 0?\nAnswer: -2, -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + (-1*-2*sqrt(40))\/(sqrt(392)*1).\nAnswer: 2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < 28287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20368752 is divided by 178.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ooxkoookqoxxkohqhq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -12)\/(1*2). Suppose 0*w + 5*w - l = 240, -v*w = -3*l - 250. What is the remainder when w is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 3, 828, 4 in descending order.\nAnswer: 828, 4, 3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -2\/7 (c) 1\/54 (d) 2\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -334, -663, -988, -1309?\n\"Answer: 2*p**2 - 335*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b + 9*b - 19147 = 0. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -117*z**3 - 336*z**2 - 189*z + 30.\nAnswer: -3*(z + 1)*(z + 2)*(39*z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, t: 2, k: 1}. Give prob of sequence tkta.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 11*y**2 + 19. Is v(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 - 19397*i**2 + 105. Let b(t) = -t**3 - 6466*t**2 + 37. Give -17*b(f) + 6*h(f).\nAnswer: -f**3 - 6460*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/79? (a) 0.2 (b) 1 (c) 14849 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 + 4*l**2 - 5*l - 7. Let v(m) = -m**3 + 2*m**2 + m - 3. Let o(g) = -2*g**3 + 4*g**2 + g - 6. Let h(u) = 3*o(u) - 5*v(u). Give 5*h(k) - 2*y(k).\nAnswer: k**3 + 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c - 7. Let g be o(-7). Suppose -13 + g = 2*m. Suppose 4*h + 4*z - 116 = 0, 3*z = 2*h - 3*h + 33. Calculate the greatest common factor of h and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 333515?\nAnswer: 333465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*g**2*r**2 - 3*g**2*r*s**3 + 301*g**2*s + g*r**2*s + 2*g*s**3 - 3*g*s - r*s**3 - 429 wrt g.\nAnswer: -248*r**2 - 6*r*s**3 + 602*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -2 (c) 15122 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37214 - 37211. Which is the nearest to -2\/9? (a) n (b) 10.02 (c) -2\/19 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1680)\/(-9))\/(2\/(-6)). Let h = -353 - a. Suppose -2*v - h = -b + 2*v, 4*v - 215 = -b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9191475, 18382950, 27574425, 36765900, 45957375, 55148850?\nAnswer: 64340325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11111110101100 (base 2) to base 5\nAnswer: 1010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9435005 or 9435007?\nAnswer: 9435007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 1. Let u(r) = 3*r + 9. Let y(v) = 2*k(v) + u(v). Let b be y(-13). Calculate the greatest common factor of 264 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1\/1382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -150*v**2 + 210*v + 210. Let h(n) = -n - 1. What is 630*h(m) + 3*s(m)?\nAnswer: -450*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -73*t**3\/3 + 13*t + 8. Differentiate n(m) with respect to m.\nAnswer: -146*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4924757833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -735, -530, -6.\nAnswer: -735, -530, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6849 - 1323 = -1531*d - 2129 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (498\/(-12))\/((-1)\/2). Let f = 83 - d. Solve -5*q + 5*v = 5, f*v - 2*v = -2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(4\/9))\/(j*j\/(j**(-3\/8)\/j))*((j*j**10)\/j)\/j**(-1))**(34\/5) assuming j is positive.\nAnswer: j**(10013\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -33785239 plus 2.2?\nAnswer: -33785236.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8426 and 136.\nAnswer: 572968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -13124528.\nAnswer: -65622640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394\/9 + 16\/72?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.11 * -0.15706\nAnswer: -0.1743366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 + -127. Is n > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1052, 6.4, 1, 1\/6?\nAnswer: -1052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4879000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by 966405.\nAnswer: 86\/966405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43 and 1505.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 5\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2592 divided by 648\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -342, -0.4, 50?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7515705 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/6 and 169\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -33*j + 14. What is the remainder when y(-4) is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5. Let u be -2 - -6 - 18\/18. Suppose o + 8 = 4*y - u*o, -3*y + o + 14 = 0. Let v(b) = -b + 6. Calculate y*t(z) + 5*v(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40650 divided by -10.\nAnswer: -4065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.006757 tonnes to kilograms.\nAnswer: 4006.757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 885\/7, -2, -2\/13.\nAnswer: -2, -2\/13, 885\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -6.63?\nAnswer: 13.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*d = -6 - 2, 3*q - 3*d = 0. Let k(x) = 12*x**2 - 99*x + 14. Let n be k(11). Let y = n - q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3095.117mm in meters?\nAnswer: 3.095117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1440 + -21?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 719.\nAnswer: 3595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 1 in increasing order.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4561676)\/(-21)*3)\/(1\/18). Suppose -d + 39130024 = -10*r. What is r rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*(-2 + 0) - 0. What is the smallest common multiple of r\/(-104) + (-22)\/(-26) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnzyqjwqzyyyjyqnzy. What is prob of picking 2 w and 1 j?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7032*t + 10*t**3 + 7035*t - 9779 + 9779.\nAnswer: 10*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-246 - (13 + -260)) + (0 + -1 - (-1 + -59)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 5*l + 8*l)*(-13 - 7 + 11)*(1 + 0 - 2).\nAnswer: 63*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/6)\/(1692\/(-6533)) and -113\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159335 divided by 5?\nAnswer: -31867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*i + 762 = 1224 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-2\/7)\/b*b))**(1\/7)\/(b*b**(-3\/14)*b*b*(b\/b**15)\/b) assuming b is positive.\nAnswer: b**(1201\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.02532 * -13\nAnswer: 0.32916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2*sqrt(2736))*-5 + ((-2*sqrt(2736) + sqrt(2736))*4 - (sqrt(2736) + 4 + 2*sqrt(2736) - sqrt(2736))) + -4)**2.\nAnswer: -4608*sqrt(19) + 700560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225999 is divided by 56495.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31534.08 + 31534. Let j = 209\/42 + -36\/7. Which is the nearest to k? (a) j (b) -1\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100 (base 2) in base 10?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 9*q**2 + 22*q - 99. Let j be m(8). Calculate the highest common factor of j and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14254 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 7. Let f be z(-13). Is (-3 + 2)*(f - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31938*m**2*o + 284*m*o**2 + 118*o**2 - 1656316*o wrt m.\nAnswer: -63876*m*o + 284*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.196 + -19.804. Sort 6, 0.4, h.\nAnswer: h, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4012932 and 51492?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 - 81. What is the greatest common divisor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(36\/8 - 4))\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3096847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -319 - -363. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p + 4. Let l be x(-3). Let k(v) = -v**2 - 5*v + 6. Let t be k(l). Let m(s) = 13*s - 19. Is m(t) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 280006560 divided by -9333552\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 9, -5, 6976, 1 in ascending order.\nAnswer: -5, -1, 1, 3, 9, 6976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 40 = -4*d, 4*s = d - 34 - 9. Let w be s\/(-4) - 6\/3. Solve 2*m - 3 = -w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 466 and 25983.3.\nAnswer: 12108217.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = -3. Suppose -h*q = -2*q. Let k = 13 - 16. Which is the closest to q? (a) -0.1 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1403993, 1404012, 1404055, 1404134, 1404261, 1404448, 1404707, 1405050?\nAnswer: 1405489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.27 + 0.23. Sort k, 0.1, -2 in ascending order.\nAnswer: -2, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3*h - 6*c**3 - c**2*p - 22*c*h*p - 40*c - 4*h*p wrt h?\nAnswer: -2*c**3 - 22*c*p - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, c: 4}. Give prob of picking 4 c.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 + 14928*u - 13927824 = 0. What is u?\nAnswer: 1866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - i**2 - i + 19. Suppose 3*o = 5*o - 18. Let t = -2 + o. What is the remainder when j(0) is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/10, -9, -0.03, -50, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 - 4*i**2 - 2*i + 2. Let w be f(-2). Suppose z + w = 2*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -893\/90 - -97\/10. Suppose l + 4*y + 4 = -3*l, -4*y + 12 = -4*l. Let d be (l\/(-10))\/(6\/15). What is the closest to s in -4, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 - ((-5075)\/(-280) - (28 + -4)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(1*sqrt(143) + sqrt(143) - sqrt(143) - sqrt(143)) - (-6*1*sqrt(143) + sqrt(143) + sqrt(143)))\/((sqrt(11) - (-2*sqrt(11) + sqrt(11))*3)*-1))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - i**3 + 10 + 1 - 2*i**3 - 1 + (2*i**2 + 2*i**2 - i**2)*(i - 4*i + i) + 6 - 10*i**3 - 973*i**2 + 973*i**2.\nAnswer: -19*i**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3) + -4 + -6 + 144 + -69 + -20?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -137142.5 and 32885643.\nAnswer: 32748500.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1002*s**2. Let l(r) = 115*r**2. Calculate p(l(u)).\nAnswer: -13251450*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230 + -49. Let y = 52 + 3. Suppose -4*n + u = -4*m - y, 0 = 5*n - 3*m - 287. List the prime factors of n.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -41*d + 14. Let g(o) = 15*o - 5. Let a(z) = 11*g(z) + 4*x(z). Let r(p) = -p**3 - 3*p**2 + p - 3. Let h be r(-3). Calculate a(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Let f(d) = -105*d - 2095. Let j be f(-20). Sort j, a, 0.\nAnswer: 0, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -12. What is the first derivative of a*f + 1 - 1 - 5 + 3 wrt f?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 301?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89728 and 320.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**3 - 12*n**2 - 9*n - 5. Let z(m) = -5*m**3 - 11*m**2 - 8*m - 4. Let a(y) = 4*b(y) - 5*z(y). Suppose -5*f - 37 + 7 = 0. Is 7 a factor of a(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 + 131\/19 + (-182)\/(-1729) and 110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2985 is divided by 600?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -10.1.\nAnswer: 5.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.1, -1\/2, -2, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -153.51105 to zero dps.\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -291*y - 3. Let l be m(1). What is the common denominator of -31\/10 and 6\/(-18)*l\/(-16)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5 + -2.3. Let n = w + 0.1. Let r = 5 - 10. Which is the second biggest value? (a) n (b) r (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 4*f - 33 = 0. Calculate the lowest common multiple of f and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -764437411.5 rounded to the nearest 1000000?\nAnswer: -764000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 88. Calculate the remainder when q(-40) is divided by 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 7:57 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287557 divided by -3?\nAnswer: -762519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f**2 + 65*f - 4 - f**3 + 10 - 63*f. Determine y(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*v + 187*v - 5700 = 0 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3030)\/(-40) + 2\/8.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(6\/11)*u*u**(5\/4)*u)\/(u**(-2))**(-2\/41))\/((u\/u**(-5)*u)\/(u\/(u\/u**7))*u**6*u**8\/u) assuming u is positive.\nAnswer: u**(-16781\/1804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104994705 and 35?\nAnswer: 734962935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**7\/2520 + l**6\/240 + l**5\/24 + l**4\/3 + 3*l. Let m(a) be the third derivative of r(a). What is the units digit of m(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y + 5 = 0. Suppose 5*g = 20, 21*g - 47 = -3*i + 19*g. Calculate the smallest common multiple of i and y.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 104.0079?\nAnswer: 104.4079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3073?\nAnswer: 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**6\/90 + z**5\/12 + 7*z**4\/24 + 5*z**3\/2 + 3*z**2. Let w(g) be the first derivative of x(g). Is 13 a factor of w(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by (14\/4)\/(((-18)\/(-48))\/3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -265.4 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-20)*(-127)\/381. Let h(u) be the third derivative of 0*u + k*u**5 + 6*u**2 - 1\/3*u**3 + 1\/24*u**4 - 1\/60*u**6 + 0. Determine h(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -2 + 0*z**2 - z - 2\/3*z**3. What is the derivative of p(l) wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 + 5*p - 6. Let m(r) = r**2 + 1. Let i(j) = -c(j) - 6*m(j). What is the lowest common multiple of i(6) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/90*10\/4. Which is greater: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 x when three letters picked without replacement from llxxxx.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**4*r - 9293832*j**4 - j**2*r + 9241*j**2 + 24*j*r wrt j.\nAnswer: 24*j*r - 223051968*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 788077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.484602 hours to nanoseconds.\nAnswer: 19744567200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**3\/3 - 11*f**2\/2 - 33*f + 6. List the prime factors of i(-9).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -2\/9 (c) -54 (d) 5\/8 (e) 0.83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*c + 12, -2*l = -l + c - 3. Let q = 3 + l. Let z(v) = v**2 - v - 4*v**3 - q + 2*v**3 + 5 + v**3. Give z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z - 4*a - 20, 2*z + 25 = -5*a. Suppose -3*s = 2*d, 4*s + z*s + 5*d = -7. Suppose -s*h - 622 = 158. What is h rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17784 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 88*q**2 - 40 + 4 - 25 - 122*q**2 to the form c*q + y*q**2 + o and give y.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 4. Let w be (-80)\/m - 1\/3. Let b = 34 - 8. What is the highest common factor of b and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**3*q*y - 4*k**3*y**2 - 2*k*q*y**2 + 27*y**2 wrt q.\nAnswer: -2*k**3*y - 2*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2\/19 (c) -22 (d) 4 (e) -212 (f) -16 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027309603 to 6 dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13065945 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 6. Let u(m) = m. Let s(g) = -12*g - 1. Let a(w) = s(w) + 4*u(w). Is a(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -936851 times -2?\nAnswer: 1873702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58102 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 272202 to the power of 1\/2, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-145)\/(-110))\/(3\/8). Let r be (10\/(-12))\/((-2)\/(-8)). Let i = r + p. Which is the third biggest value? (a) -2 (b) i (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130 + -128. What is the nearest to p in 4, -1, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 24 = -5*s, 0*l - 4*s = l + 20. Let c = l + 9. Suppose c*i + 5 = 5*y - 0*y, 4 = 4*i. Solve y*z + z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 16*h - 4*t + 16 = -62, 5*t + 129 = 4*h + 4*t for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from ugugug.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, g: 5, m: 4, f: 2, i: 2}. What is prob of sequence gm?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 15)*4*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74.3 - 74.8. Which is the smallest value? (a) 3 (b) -48 (c) q (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*i**3*u**2 + 4154*i**2 + 684*u**2 + 104 wrt i?\nAnswer: -33*i**2*u**2 + 8308*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 18 = -2*r, 25*r = 2*d + 28*r + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/((220\/(-11))\/(-10))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l - 2. Let d(o) = 346*o - 5. Let v(k) = -415*k + 6. Let f(h) = 6*d(h) + 5*v(h). Determine c(b) - 5*f(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**5 - 66*f**4 - 788*f**3 - 4068*f**2 - 8426*f - 5082 = 0.\nAnswer: -11, -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -153. Let q = f + -32. Calculate the remainder when q is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10101011?\nAnswer: 10100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20274 minus 0.4?\nAnswer: -0.19726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 3) to base 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - 23*w + 46. Let h be n(5). Let s(u) = 2*u**3 + 2*u**2 - 5*u - 5. Let d(i) = 2*i**3 + 2*i**2 - 6*i - 6. Calculate h*s(f) - 5*d(f).\nAnswer: 2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by -1045.\nAnswer: 41\/1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -13.6. Let s = 0.1 - m. Let y = 360 + -361. Which is the nearest to y? (a) s (b) 5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5177 is divided by 646?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 8*n**2 - 6*n + 9. Let s(f) = -f - 15. Let o be s(-8). Let i be k(o). Suppose i*c = c. Solve -d - 5 = -c*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58 - -14?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1311.669911676 - 23.330089153. Let g = -17493 + 16158. Let b = g - v. What is b rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**6\/360 + r**5\/36 + r**4\/9 + 2*r**3\/9 - 144*r**2. Factor h(m).\nAnswer: (m + 1)*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118449868?\nAnswer: 2, 71, 569, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20306\/110 - 4\/(-10). Suppose -5*w = 50 - i. Suppose h + 7 = w. Solve -h = -3*b + 7*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 106, 113, 122, 133, 146?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1715*v - 15819 = -51834 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -11, -0.5, -0.1, 12146, 1, 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by -5.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 2 - (81 + -99)) + -4 + 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**3\/3 + o**2 + 38*o. Let m be 2\/4 + (-10)\/(-4). Let w be t(m). Which is the closest to 0? (a) -1 (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5 = -2*h - 10, -3*z + 9 = -4*h. Let c(i) = z*i - 2*i - 3*i + 3*i. Let d(r) = -25*r. Calculate c(d(f)).\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -605 - -670. Calculate the highest common factor of 455 and s.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23188 or 347812\/15?\nAnswer: 347812\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8317*g**2 + 4564 wrt g.\nAnswer: -16634*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -42. Suppose -3*j = 5*o - 16, -5*j + b = 5. Solve 2*a + o*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23057974.\nAnswer: 2, 11528987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1056 and 39336?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122291 and 12106809.\nAnswer: 12106809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1938105676?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57696.\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -142? (a) 4 (b) 0.2 (c) -5 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235327 (base 9) to base 2.\nAnswer: 100010100101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*t + 136*t + 135*t - 639*t + 136*t + 128*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4679, -4676, -4673, -4670?\nAnswer: -4667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3437*r**2 - r - 4. Let i(x) = -3435*x**2 + 2*x + 5. Let j(f) = -2*i(f) - 3*w(f). Let t be j(1). What is t rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 99*c**2\/2 + c + 48. Suppose 0*b = 4*b - 4. Let u be s(b). What is the highest common divisor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -28*g**4 - 11*g**3 + 11*g - 34. Let o(f) = -14*f**4 - 6*f**3 + 6*f - 17. Let i(c) = -11*o(c) + 6*w(c). What is the first derivative of i(v) wrt v?\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 - -4.5\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 - 139*r**2 + 70*r - 4415. What is o(70)?\nAnswer: 5385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -8. Let i = k + 12. Solve 4*d = 2*q - 6, -q = i*d - 6*q + 22 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -18. Suppose 3*c - a = -0. Suppose 0 = u - 2*j - 3, -2*u + u = -j + 1. Sort c, u, 0 in descending order.\nAnswer: c, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64167590 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240180853?\nAnswer: 11, 21834623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 13, w: 1, g: 2, o: 3}. Give prob of sequence on.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 2457.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*w**5 - 131160*w**4 - 22817830*w**2 wrt w.\nAnswer: 840*w**2 - 3147840*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/(-99) + 2\/6. Let g = 115149\/575495 - 10\/115099. Do g and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.87 smaller than 1589.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -113, -236, -385, -572, -809, -1108, -1481?\n\"Answer: -2*o**3 - o**2 - 106*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**2 + 37826154*v - 119234827202643 = 0.\nAnswer: 6304359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - y = -342. Suppose 5*z - 3 = y. Calculate the greatest common factor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 2*p**4 + 3*p**2)*(59 + 7 + 25) - p**3 + 0*p**4 - 2 + p**4 + 4.\nAnswer: 183*p**4 - p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 2 + 1)*1. Let h be (q - (2 - 0))*-10. Solve -l + h = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 10. Suppose -4*o + 5*o - 69 = -s, 0 = s - 2*o - 54. Let l = -11 + s. What is the remainder when l is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) 322 (c) -0.402\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:02 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2366119 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: What is 87917 rounded to the nearest 1000?\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*q + 8. Let j(f) = f + 8. Let c be j(q). Let h = -5 + 6. What is the closest to h in 5, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 52?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3\/68 (b) 8 (c) -1 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326, -510, -690, -866, -1038?\nAnswer: -1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1558817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2235*g - 2150*g + 1055*g + 3051*g + 5866*g to the form o + p*g and give p.\nAnswer: 10057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b000 + 3411?\nAnswer: 22411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48676079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n*z**2 - 2*n*z - n - 124883*z**2 + 21709 wrt z.\nAnswer: 4*n - 249766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, 77, 226, 447, 740?\n\"Answer: 36*g**2 - 31*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11546607047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -610991 - -6104337\/10. Let g = o - -562. What is the common denominator of -3\/11 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 6, t: 13}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-1 - 1))\/1. Suppose 4*y - y - 3 = g. Let c be ((-16)\/(-12))\/(y\/6). Solve -n = n - c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 26. Calculate the greatest common factor of 44 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.1 - 2.7. Which is the closest to -0.1? (a) 5 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310849752.\nAnswer: 2, 3, 43, 301211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 146 + 464. What are the prime factors of b?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ede when three letters picked without replacement from meedeeeeqddebbbqmem?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10.49 * 5\nAnswer: 52.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = -15*x - 51592. Is x - -2*(60\/(-8))\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 - 110. Which is the third biggest value? (a) w (b) 8 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - i. Suppose -3*b = -5*l - 12, 16 = 4*b - 3*l + 8*l. Let c(r) = 6*r**2 - 4*r. Let k(n) = n**2 + 5*n - 7. Let p be k(-6). Give b*g(z) + p*c(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 198 = -3*p. Let o be ((-280)\/42)\/(-5) + 10644\/36. Calculate the highest common factor of o and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*184.23\nAnswer: 36.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -27803*b - 972974. Calculate g(-35).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9604000*j**4 - 1646400*j**3 - 105840*j**2 - 3024*j - 162\/5.\nAnswer: -2*(70*j + 3)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157758.\nAnswer: 2, 3, 26293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 50 + 178)*(-2*j - 1 + 1).\nAnswer: -376*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 39*a - 33. Let g be t(7). Is 3810\/g + (-1)\/(-8) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + k**2 + 9*k + 19. Let s be o(-2). Let d(u) = u**2 - 11*u - 21. What is the remainder when 23 is divided by d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -0.8.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 272250961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4153292 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1336316, -1336297, -1336280, -1336265, -1336252, -1336241?\n\"Answer: -u**2 + 22*u - 1336337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-9)\/(-4))*(-2250)\/100. Let a be (-2)\/(12\/q) + -1. Solve 5*p + 0*p + 4 = a*m, -2*p = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 10. Let f = -3.9 - h. Is f at least as big as 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:57 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 - 30*p - 20. Let g be j(-9). Calculate the highest common factor of g and 679.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssxsssxssxssssxs. What is prob of sequence xx?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (52 - 12) + -14 + 25?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1\/9 - 32\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771 divided by 1?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43850 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 10.14, -1\/3.\nAnswer: -2, -1\/3, 9, 10.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 405964 equal to 405964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 30422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5728390 is divided by 424?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 239321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 19 + 7 = -4*p, 2*p - 6 = -3*q. Let y be p\/4 + 1\/(-4). Suppose -5*g + 15 = 5*j, j - 2*g + 15 = 3*g. Is j greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127890000 rounded to the nearest one million?\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*h - 232*h + 4 + 535*h - 103*h - 103*h.\nAnswer: -9*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 8:18 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -1\/124352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b - 1. Let c(j) = -j**3 - j**2 + j. Suppose -h + 2 - 4 = 0. Let a be c(h). Let z(t) = 52 - 4*t + 3*t - 2*t - 53 - t. What is a*o(l) - 3*z(l)?\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + ((-322)\/115)\/((-4)\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-120)\/25)\/((-2)\/(-20)). Let f = 79 + z. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/17? (a) -0.3 (b) 1\/2 (c) -268\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z**3 - 8 - 7*z**3 - z**3 - 1 wrt z.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 32 - 2 = 3*r, 0 = -n - 2*r - 1. Suppose n*p - 47 = -27. Which is the third biggest value? (a) 1 (b) p (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/8*1912\/(-1434))\/(2\/(-12)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/((-120)\/(-18))*5*-1. Suppose 0 = 2*t - 5 - 1. Suppose t*n - w + 12 = 0, 5*n + 23 = n - w. Sort n, -3, r in decreasing order.\nAnswer: r, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 21 (b) -2 (c) -0.3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s**(1\/3)*s\/(s*s**(-22)*s)*s*s*(s\/((s*s*s**5*s)\/s))**(-6\/17) assuming s is positive.\nAnswer: s**(1400\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7850532, -15701077, -23551622?\nAnswer: -31402167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1969885058 to the power of 1\/2, to the nearest integer?\nAnswer: 44383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 0*m - 899241 = -32*m. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, v: 4}. Give prob of picking 1 v and 3 s.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73019587\/61542 + -2\/30771. Let o = g - 1185. Factor o - 9\/8*b**3 - 15\/8*b**2 + 3\/2*b.\nAnswer: -3*(b - 1)*(b + 2)*(3*b + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-1)\/2*1134\/(-18)*18\/81.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -5*u**4\/12 - 35*u**3\/6 + 93*u**2\/2 - 42*u. Let q(y) = -5*y**2 - 35*y + 92. Let x(j) = -2*c(j) + 3*q(j). Factor x(z).\nAnswer: -5*(z - 2)*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 9) in base 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**26\/p)\/(p**(-38)*p) assuming p is positive.\nAnswer: p**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 105. Let o = -4.64 + h. Round o to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 37. Let r be 1\/(-2 + f\/(-10)). Let s(q) = -q**3 - q**2 - 2*q. Let o(y) = 4*y + y**3 - y - 1641*y**2 - y + 1642*y**2. Determine r*s(u) - 4*o(u).\nAnswer: u**3 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1793*u + 901 + 900 - 1801 - 1792*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2. Let o(s) be the first derivative of s + 10. Let u(a) = -25*a**2 + 25. Let g(d) = 25*o(d) - u(d). Calculate q(g(v)).\nAnswer: 625*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -0.74. Let b = o - 0.36. What is the third biggest value in 5, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 0, -174, -5, -1 in descending order.\nAnswer: 91, 0, -1, -5, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -24. Let i be c\/(-15)*369 + 1 + -2. Suppose 3*t + 47 - i = 0. 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: 3 divided by 2654067\nAnswer: 1\/884689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 - 51. Let h = -66 + b. Solve 5*k - 7 = 4*l, 2*l + 3*k - h*k + 7 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20634 + -8083. Calculate the highest common divisor of j and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**5\/20 - 2*s. Suppose 1 = 3*k + 2*k + 2*d, -9 = -k + 4*d. Let i = 0 - 4. Let g(r) = -5*r**3. Determine i*t(m) + k*g(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64 - -216?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8102*k - 9715 = -8247*k for k.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 7*g - 27 = 0, 3513*o - 3518*o - 7 = -g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60187 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 166500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**5\/60 - c**4\/24 - c**3\/6 - 4*c**2 + c. Let h(x) = -x**3 - 8*x**2 + 5*x - 12. Let u(f) = -a(f) + h(f). Calculate u(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41789953 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33 + 6*q**2 - q**2 - 35*q + 6*q**3 + 35 wrt q.\nAnswer: 36*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**3\/4 - 45*q**2\/4 + 39*q\/2 = 0?\nAnswer: 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h - 118 + 172 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*f = 3*k, -9 = -4*k + f. Let a = 2 + k. Let t(r) = -r**2 + 5*r + 3. Let b be t(5). Put a, b, -3 in increasing order.\nAnswer: -3, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000066362 rounded to 7 decimal places?\nAnswer: 0.0000664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1485 or 1500?\nAnswer: 1485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-4 + (-6 - -2) - (-14 + 9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -60*n + n - 35*n + 12*n - 5. Is g(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5605 is divided by 492?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*-2 + sqrt(80) + sqrt(5) + 2 + 3 + (sqrt(720) + -1)**2.\nAnswer: -27*sqrt(5) + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 230 + -221. Solve l*n - 9 - 9 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)*v)\/v*v*v\/v**(4\/3)*v*v**(-5\/4)\/v**2 assuming v is positive.\nAnswer: v**(-91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*s + 3, -4*x - 2 = -7*s + 9*s. What is the tens digit of s\/(-3) + (-4830)\/(-9) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/(-28) - 2 - -4. Are p and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 12*b - 12. Give p(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -15. Let m be (-6 + -1)*g\/(-14). Solve 0*k - m*k + 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602*m - 12190 - 12660 = 20902 for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/315 and 143\/6?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l - 5. Let u(c) = -3*c + 4. Let f(x) = 4*q(x) + 5*u(x). Let v(m) = m. Determine 3*f(z) - 4*v(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1915 = -4*i - 3*x + 1721, -4*i = -5*x - 3636. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (360\/(-48))\/((-3)\/4). Suppose 315 = -k + s*k. Factor 8 - k*m**3 - 66*m**2 + 11*m + 14*m - 18*m + 5*m.\nAnswer: -(m + 2)*(5*m - 2)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 584.1 - 580.1. Which is the second biggest value? (a) 0.5 (b) 0 (c) -1.1 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**2. Let y(o) = 1 + 33*o - 544*o - 2 + 48*o. What is p(y(w))?\nAnswer: -1071845*w**2 - 4630*w - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.99*36.\nAnswer: -35.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67597 - 17185. Suppose 4*b + j = 16*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232782?\nAnswer: 2, 3, 11, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -96814061.\nAnswer: -96814061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.111 + 66.889. Let d = 66.22 - s. Let c = 12.92 - d. What is c rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - n - 2*k - 15, 40 = 4*n + 4*k. Let v = -0.1 - -0.2. Let g = 0.18 + -2.18. What is the smallest value in v, g, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c**2 - 174*c + 48 = 0.\nAnswer: 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -24. Is (-1481)\/(-4) - z\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**2 - 5*y**2 - y**2)*(-y - 2 + 2) + 348*y**3 + 147*y**3 - 109*y**3 to f*y + q + h*y**2 + u*y**3 and give u.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.023 * -875.\nAnswer: 20.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 996 or 1019?\nAnswer: 996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*m**3 + 51*k**2*m - 452*k**2 - 503*k*m - 227806712*m**3 wrt m.\nAnswer: -12*k**2*m - 1366840272*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2033*b*d**2*q**3 - 2053*b*d**2 - 319*b*d*q**4 - 120*b*d*q**2 + b*q**2 wrt q?\nAnswer: 12198*b*d**2 - 7656*b*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2\/(1*-2). Let a be (r - 0)\/((-4)\/20). Let o(w) = -w + 151. Let n(h) = 2*h - 153. Let f(p) = -n(p) - o(p). Calculate f(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - 262. Let k = l + 71. Let n(z) = -z**3 - 5*z**2 - 7*z - 5. What is n(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r + 5. Let b = 1 - 5. Let m(l) = 30*l + 3. Let c(j) = j. Let v(t) = -66*c(t) + 2*m(t). Give b*a(u) + 3*v(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 549.4 - 550.3. What is the fifth smallest value in 0.04, 2\/7, 1\/5, z, -20?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let m(h) be the second derivative of 0 + 0*h**2 - 3*h - 1\/3*h**3. Give a(m(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 970 + 12*j**2 - 31*j**2 - 26*j**2 - 834 wrt j.\nAnswer: -90*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 50. Is 29 a factor of t(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 + 31*w - 24. Let z be t(-8). Let v(a) = -48*a + 7. List the prime factors of v(z).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1176, 1186, 1210, 1254, 1324?\nAnswer: 1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 7*z**2 + z + 19. Calculate j(8).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8e + -152d7?\nAnswer: -15365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 21 = 19. Let t(q) = 2*q**3 - 13*q**2 - 4*q + 1. Let j(f) = f**3 - 4*f**2 - 2*f + 1. Let x(c) = -5*j(c) + 2*t(c). Is x(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1843178 nanograms to kilograms.\nAnswer: 0.0000000000001843178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2)*(-88)\/528?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - -49)\/(13\/(-2)) - (-162)\/1989\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 11\/2)*(-32)\/(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1 - (-6 - -3)) + -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(130)*-4 + sqrt(130))*2)\/((sqrt(10) + sqrt(10) + (sqrt(10) - sqrt(60)\/sqrt(6)))*3).\nAnswer: -sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -8*m + 9*m. Calculate the greatest common factor of 116 and m.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*8\/(-36))\/1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -41*37027\nAnswer: -1518107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 1, v: 1, e: 5, l: 1}. Give prob of picking 2 e.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/11 - 366*x\/11 - 364\/11 = 0.\nAnswer: -182, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 30*q - 27*q = -27, 19 = -s + 4*q for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 298302 and 6806?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149644845 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 26 = 10. Suppose -j*f + 112 = -8*f. Calculate the highest common divisor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27513*l**2 + 27227*l**2 - 55591*l**2.\nAnswer: -851*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16541, -16534, -16527, -16520, -16513?\n\"Answer: 7*v - 16548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -116560 (base 7) in base 11?\nAnswer: -15214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25440 divided by 378?\nAnswer: -4240\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -444*x + 400*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -27. Let v(i) = -i**3 + 5*i**2 + 5*i - 3. Is v(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135596836?\nAnswer: 2, 113, 299993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/48)\/(-2 - (-146)\/72). Let g = x + -16. What is the remainder when 64 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 52 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 11 = f - 2*x, 0 = 4*f - 5*x - 40. Suppose 0 = b + f - 50. Calculate the remainder when b is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u + 70*u**4 + 70*u**4 + 78*u**4 - 293*u**4 - 10*u**2 + 77*u**4 to the form q*u + l*u**2 + s*u**4 + i*u**3 + n and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 768134.8 decades?\nAnswer: 7681348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 2:57 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 7\/11, 0.05, -0.3, 3223 in decreasing order.\nAnswer: 3223, 2\/3, 7\/11, 0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -12*l + 277. Calculate i(25).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 4)*(5*n + n + n)*(-2 + 0 + 3)*(7*n + 13*n + 3*n) in the form q + k*n**2 + g*n and give k.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1287*g - 906057. What is s(704)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-958074)\/(-285) - 2\/5. Let p = h + -1362505\/418. Let c = -684\/11 + p. Find the common denominator of c and 27\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1998619 is divided by 1158?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -11. Sort -1, z, -4.\nAnswer: -4, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 5 - (-5 + 1). Suppose 0*s + y*s = 32. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46374?\nAnswer: 2, 3, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4303, -24595, -58415, -105763, -166639, -241043?\n\"Answer: -6764*y**2 + 2461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769015385.\nAnswer: 5, 1447, 106291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 8*g**2 + 3*g - 7. Determine r(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 427 - 424 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 401 and -1?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5688413?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 0.32094998152.\nAnswer: 0.12094998152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3541641.87 rounded to the nearest ten thousand?\nAnswer: 3540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/9, 7\/3, -201?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*i - 834 + 1149 + 421 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 745, 747, 749?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 219787 and 219785 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 + 0*b**4 + b**3 - 2*b**4 - b to y*b**2 + x*b + o*b**4 + u + d*b**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-94)\/24 - (-10)\/(6000\/(-30))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 5\/3, 211, -2, -9, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1011001100 (base 2) to base 15\nAnswer: -32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -45*v**3. Let u(j) = 2*j**3 - 2*j**2 - 2. Let x(m) = 31*m**3 - 8*m**2 - 8. Let s(z) = -4*u(z) + x(z). Calculate -4*d(p) - 9*s(p).\nAnswer: -27*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.19 - -35. What is c rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v**2 - 4. Let q(f) = 8*f**2 + 3. Let b(o) = -o - 10. Let l be b(-8). Let t be q(l). Let a(r) = 98*r**2 + 35. Determine t*k(d) + 4*a(d).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgj when three letters picked without replacement from wgggwgjjgjttgwjgg.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/4 + 549*s**3\/4 + 545*s**2\/2 - 549*s - 1094.\nAnswer: (s - 2)*(s + 2)**2*(s + 547)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(-x**2 + 5*x**2 - 3*x**2)*(-x + x - x + (-3*x + x + x)*(-5 + 4 + 0) + 3*x - x + 0*x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a century?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 895*b - 247 - 58792 - 926 for b.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 v, and 2 q when four letters picked without replacement from vfzfqfq.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v - 11. Let h(c) be the third derivative of 2*c**4\/3 - 16*c**3\/3 - 4*c**2. Let z(q) = -2*h(q) + 7*s(q). What is the tens digit of z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - u - 10 + 4, 0 = -r + 2*u + 8. Let o(y) = 2 + 6 + 2 - y - r. Calculate o(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**6\/40 + l**5\/20 - l**4\/12 + l**3\/6 - l**2. Let t = 0 - -2. Is w(t) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 1. Let v(t) = 2*t - 4. Let w(r) = -2*r + 5. Let u(a) = -6*v(a) - 5*w(a). Suppose 0 = 9*b - 18 + 45. Calculate b*y(k) - 2*u(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*p = 25, 0*p = 4*c - 2*p - 20. Suppose -23 = -5*t + 157. Suppose -3*r + c*r = -4*f + 82, 0 = -2*f + 4*r + t. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i - 27. Let m be h(-8). Let w be -5*(-1)\/m + 98. Suppose w = 2*y + 23. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8242817518 + 4.2?\nAnswer: 8242817522.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/36751 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 + 4*k + 20 + 34 - 2*k + 0 + 0 + (-2*k + 0 + 0)*(1 - 1 - 2) - 2*k + 0*k + k + 0*k - k + 2*k.\nAnswer: 6*k + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - -213719349.73?\nAnswer: 213719318.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 947050.4 litres to millilitres.\nAnswer: 947050400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + j**2)*(3*j + j**3 - 3*j)*(2 - 2 - 3) + (-1789*j - 92465 + 92465)*(5*j**4 - 4*j**4 - 2*j**4).\nAnswer: 1786*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/225)\/(2\/(-24)))\/(27*(-17)\/(-6885))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 8:21 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18508, 148205, 500310, 1186027, 2316560, 4003113, 6356890?\nAnswer: 9489095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.031 + -0.069. Let f = -6251 + 6251. Which is the closest to x? (a) -3\/8 (b) f (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39925 divided by 7985.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c**2 + 7*c - 4. Let j(z) = -z**2 + z - 1. Give -6*j(u) + t(u).\nAnswer: -2*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 6*d**2 - 2*d - 9. Let p be l(-6). Let w = 31 - 19. Suppose b - w = -p*x - 0*x, 3*x = 2*b + 12. Solve x*t - 8 = -0*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -15529086101530\nAnswer: 15529086101537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (28 + (13 - (6 - -21)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 10*j + 2*j**3 + 2 + 7*j - 3*j**2 in the form a*j**2 + x*j**3 + l*j + s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 1 - 1)*(-342*b - 343*b + 427*b) + (-2 + 7 - 3)*(-3*b**3 - b**3 + 2*b**3) + 1 - 1 - b**3.\nAnswer: -521*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 184 - 186. Let o be 6 - (2\/2 + -3). Let c be (-4)\/(-10) - o\/10. Sort c, z, -0.5.\nAnswer: z, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1620)\/280 + 64\/28 + -2)*(-35 - -33).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 205 - 196. Which is the third smallest value? (a) 0.5 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8030085863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5107567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187913*n**2 + 6*n*v**2 + 4*v**2 - 176317 wrt n.\nAnswer: 375826*n + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 2210221000?\nAnswer: -2210221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1454b23 + 70?\nAnswer: 1454b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*s - 0*i + 62, 3*s = 5*i + 91. Let j(f) = -8*f + 2. Let a be j(-6). Suppose a - 210 = -2*k. Calculate the highest common factor of s and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3*-1)\/(29 + -26). Let w be (112\/(-24) - -5)\/(1\/(-15)). Sort w, 3, m, -2.\nAnswer: w, -2, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7853897 decades to years.\nAnswer: 7.853897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 11*z**2 - 14*z + 6. What are the prime factors of o(-12)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -214.88529 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 8. Suppose 0*q - 2*q + 42 = s. Suppose 2*l = -4*n - l + 47, 0 = 2*n + l - 23. Calculate the remainder when q is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmd when three letters picked without replacement from ddodmdmon?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1442*f**2 + 149*f - 31 wrt f.\nAnswer: -2884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3519\/8 - -440. Let p(c) be the first derivative of n*c**4 - 7 - 3\/4*c**2 + c + 0*c**3. Let p(g) = 0. What is g?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 4446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4))**2 + -3 + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247806 divided by -9.\nAnswer: -27534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 62*g - 48. Let m be j(30). Solve 4*u = 3*c + m + 14, 4*u = -4*c + 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 5. Let p be r(-20). What is the highest common factor of p and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + -6*((-4 + sqrt(325) + sqrt(143)\/(sqrt(55)\/sqrt(5)))**2 + 4).\nAnswer: -2934 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.44 * 10579856.\nAnswer: -4655136.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/83 or -12.8654?\nAnswer: -6\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 16. Suppose 4*f + 2*d = 16, 4*f + 0*d = -4*d + 8. Suppose 0 = f*p - 4*p - 4*q - 56, -4*p + 138 = 5*q. What is the remainder when p is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**2 + n + 12. What is the remainder when h(-5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-6) + 21\/6. Suppose d*r = -f + 38, 4 = -0*f + 2*f. Let s be ((-42)\/12)\/(27\/r). Which is bigger: -1\/3 or s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1900) - ((sqrt(1900)*3 - sqrt(1900)) + -3 + sqrt(1900)) - (5*sqrt(1900) + 3))*3)**2.\nAnswer: 837898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 265*l**3 + 5*l**2 - 6*l + 1. Let b be k(1). Let c = b + -265. Solve -3*p = 4*a + 6, -4*a - 2 = -c*p + p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -3*w**4\/32 - 111*w**3\/8 - 12321*w**2\/16 - 151959*w\/8 + 141. Factor i(y).\nAnswer: -3*(y + 37)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 17 (b) -2 (c) -0.11 (d) 239 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1120 or -1145?\nAnswer: -1145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/6)\/1*(-54)\/15. Put y, -6, -4 in descending order.\nAnswer: -4, -6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72251247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/233487 and 149\/24?\nAnswer: 1867896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/3)\/(1\/((-564)\/(-8))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/11 - 3182*r**4\/11 + 1687392*r**3\/11 - 30556840*r**2 + 22728565952*r\/11 - 65205873024\/11 = 0 for r.\nAnswer: 3, 166, 628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627\/330 at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41664691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1330 divided by 9485.\nAnswer: 38\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - -77. Let z be 5\/(15\/r) - 2. Suppose -4*y + z = 2*m - m, 4*m + 16 = 0. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/1020*-8*(-2)\/((-48)\/200*15)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -29*h**9\/168 - h**8\/336 + h**5\/20 + 205*h**4\/24 - 451*h**2. What is the third derivative of g(b) wrt b?\nAnswer: -10440*b**3 - 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*c*q - 153*c + q**2 wrt q.\nAnswer: 12*c + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15378000 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27450 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.04 + -0.04. Let t = -4.05 - -0.05. What is the biggest value in t, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.1 (b) 0.058 (c) 607\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Let i = 3320 + -3303. What is the remainder when i is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = -5*j - 4*k, -k + 3*k - 94 = 2*j. Let v = j - -46. Differentiate 0*a**v + 0 + 3*a**3 + 23 with respect to a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80967937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.5 (c) 128 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {l: 3, j: 4, t: 3, v: 7, c: 3}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 5. Let h be t(-4). Suppose -v + h + 3 = 0. Solve -d = -v*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/4 + t**3\/5 + 2*t. Suppose a(l) = 0. What is l?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -2*l**7\/21 + 5*l**3\/6 - 2*l. Find the second derivative of h(z) wrt z.\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155400336 to the nearest integer?\nAnswer: 12466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60 or -4179?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 2*u. Let x be a(2). Suppose j - 7*p + 1 = -3*p, x = -4*p + 4. Suppose 2*f - 992 = l + 180, 1763 = j*f + l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350.059976 rounded to 1 decimal place?\nAnswer: 350.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**0\/z)*z)\/z)**(15\/4)\/(z**(-6)\/(z*z*z\/z**(4\/3)))*(z**(2\/11)\/z**(-2\/15))**4 assuming z is positive.\nAnswer: z**(1807\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187872 and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6013.\nAnswer: 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(405)*-6.\nAnswer: -54*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 6. Let p(z) = z**2 - 4*z - 4. Let o be p(4). Let u be i(o). Suppose 4*g + 12 = 8*g. Solve 2*m - 2 = -m - h, g*m = u*h + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -8) + -1 + -2. List the prime factors of (c\/(-4) + 2)*62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2310*k + 2207*k + 1957 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 21*m + 7. What are the prime factors of o(6)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 59760 - 29890 - 29870 - a. Let x(q) = 4*q + 1102. What is x(l(y))?\nAnswer: -4*y + 1102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 + -73. Let i = -2 + 3. Suppose -h + i = -u. What is the remainder when 20 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-145)\/(-58)*1\/7)\/(8\/28).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) + (sqrt(80) - sqrt(80)*-1 - sqrt(80)))\/sqrt(10))\/(sqrt(144)\/sqrt(4)) + (sqrt(2) - (sqrt(2) + -1)*-2) + (sqrt(36)\/sqrt(3))\/sqrt(6) + -1)*-4.\nAnswer: -56*sqrt(2)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/8 + (-3)\/(-4). Let d be 96\/15 + a\/(-15). Is d\/51 - 5062\/(-34) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -121 - 2*i - i**3 + 124 + 13*i**2 - i. Is n(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552750815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrdrrrrrrddqrrddr. Give prob of picking 1 q, 1 d, and 2 r.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (24 - (-3 + 11)) + -10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 41598 to the nearest 100.\nAnswer: 41600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*g - 2*y + 240, 3*g - 348 = y. What is the first derivative of 8 - 9*b**2 - 117*b + g*b wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-4) - (1 - -13)\/(-2). Suppose b = -m - m + 7, 5*m + 20 = g*b. Let i(y) = -25*y**2 + 23*y**2 - 2*y**3 + y - m + 3*y + 3*y**3. Give i(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-18)\/j)\/j)\/(j*j*j\/(j*j**(-4\/11)))*j**(-2)\/j**24 assuming j is positive.\nAnswer: j**(-532\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 11*g - 31. Determine n(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203443.6 nanometers in meters?\nAnswer: 0.0002034436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-13)*(((x*x**(-2\/29))\/x)\/x)\/x*x)\/((x**(-4)*x)\/x*x*x**(-2\/57)*x))**(1\/39) assuming x is positive.\nAnswer: x**(1903\/4959)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 70 = -3*q, 31*m - 19 = q - 0 + 1 + 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1791, -3594, -5411, -7242?\n\"Answer: -7*o**2 - 1782*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10) - (12 + 612\/(-30)). Solve -3 = j - 2*a - q, 5*j + 5*a + 20 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 237\/7 (b) -2 (c) 2\/7 (d) 3\/7 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*j - 6 = 7*x, 3*j = -4*x + 1. Let c(b) = b**2 - 5*b + 10. Calculate c(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.2, -3, 0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*o + 4 + 6 = 0, 3*o = 3*k + 21. Let r be k\/14 - 966\/49. Let t = 39 + r. Solve -4*g + 14 = 2, 5*f - t = 2*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 5. Suppose 5*o = o + c. Suppose 2*t + 5*h - 12 = 0, 4*t + 4*h = o + 9. Solve -p - 3 = t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -2\/16666765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 510, 2045, 4602, 8181, 12782, 18405?\nAnswer: 25050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135115 = 28*r - 415576 - 365889. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 1. Let b be v(-5). Suppose -b*l - 11 = -o, -o - l = 1 + 3. Let w be 6 + (3\/(-3) - o). Solve 2*y = w*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 56 = -5*d + 76, 2*d = -q + 51. Calculate the remainder when d is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, p: 2, e: 2}. Give prob of sequence mm.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 28\/5, -48\/5, 0 in ascending order.\nAnswer: -48\/5, 0, 0.4, 28\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*l + 81*l = 355*l - 9720 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -11*o**2 + 0*o**3 + 0 + 1\/60*o**5 + 0*o**4 + 0*o. Let f(s) = 5*s + 0*s - 9*s. Give i(f(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8496 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbt when three letters picked without replacement from {t: 2, b: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 19 = -i, -3*i + 0*a + 41 = 2*a. Let k(v) = 103*v - 83. What is the units digit of k(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 5. What is u rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12653286 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 35*u**2. Let o(z) = 226*z**2. What is n(o(i))?\nAnswer: 1787660*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 284042*o**2 + 20169396345*o + 80682130116.\nAnswer: (o - 142023)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and -1747?\nAnswer: 52410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26 + 15*b**2 - 59 - 25 wrt b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 73? (a) 297 (b) -0.045 (c) -2\/3 (d) -1 (e) 1\/16 (f) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156507597.\nAnswer: 3, 1597, 10889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 23*i**2 - 3*i - 3. Let q be p(-3). Suppose 6*o - q = 243. Let y be 57\/o - (-2)\/8*29. Which is smaller: y or 11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73266.\nAnswer: 2, 3, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 88170130 divided by -898?\nAnswer: -98185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g - 192 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372126*o**2 - 186064*o**2 - 186060*o**2 - 3*o.\nAnswer: 2*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5904 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yddydydydydy. Give prob of picking 3 y.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001202636 to 7 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3 - 1. Suppose 4 = 4*r - v*r. What is the third derivative of 3*u**r - u**5 - 4*u**2 + 6*u**5 + 3*u**2 wrt u?\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**4\/12 + 2*m**3\/3 - 12*m**2 - 6*m - 72. Determine y(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2915*u + 601892 = 5661*u + 10790*u - 250212 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 32217562 and -12.\nAnswer: 32217550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.5814 rounded to 1 decimal place?\nAnswer: 162.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5*z - 8 = -2*i - 124, z + 84 - 14 + 11 = -2*i for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 2053?\nAnswer: 143.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1.96. Let b = -165842.03999888 + 165842. Let p = b + s. Round p to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -9137.\nAnswer: -1\/9137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10876514.\nAnswer: 2, 11, 494387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1285, 5145, 11579, 20587, 32169, 46325, 63055?\n\"Answer: 1287*k**2 - k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 56.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 1 - 1 + 50*y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, 0.4, -0.9, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6*l - 4*k = -354, 0 = 2*l - k - 139. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 17*k**3 - 25*k - 16*k + 23*k**4 + 15*k**3 + 6*k**5 + 43*k - 1 + 18*k**2 = 0. Calculate k.\nAnswer: -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -248 + 2234\/9. Put 5, i, 2 in decreasing order.\nAnswer: 5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 12*n = 128. Suppose m - n - 43 = 0. Let w = -199\/3 + m. Which is bigger: w or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 14 - 2330*j + 4641*j - 2336*j. What is r(-26)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4750 and 3250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**3 - 9*i**3 - 3*i**3)*(-4 + 4 + i) + 5*i**4 + 5*i**3 - 7*i**3 + 4 - 2*i**4.\nAnswer: -15*i**4 - 2*i**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:38 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.89 and -0.04289192?\nAnswer: 0.0381738088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4681769 to the power of 1\/2, to the nearest integer?\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 16. Let x = a - 1. Solve p + 4 = x*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19023 (base 15) to base 12\nAnswer: -3aa89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from qchbqlhhbh.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 4*o - 6*o**3 + 3*o - 7*o.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 85.29699t?\nAnswer: 85296990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.332 times -28411\nAnswer: 9432.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/21549443?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270077012228 - -0.5.\nAnswer: 270077012228.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 225 - 133. Let i = n - 20. Suppose 5*t + 13 = p, 0*t = 4*p + t - 73. Calculate the greatest common divisor of i and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 32129*m**2 + 257036*m + 49. What is h(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*0.3386.\nAnswer: 13.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 44*m + 307. Let k be v(-7). Let c(x) = -30*x - 3. Give c(k).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*u + 43 = 0, 0 = 4*t - 0*t + u - 159. Suppose -4*l = 2*a - 112, 2*l - a = t + 12. Calculate the remainder when 642\/8 - 2\/8 is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-14 + 6 + -14) - -8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/42)\/(4\/8)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -109590628134 plus -0.1?\nAnswer: -109590628134.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 5*b + 5*a - 2555, -3*a + 9 = 0. Suppose -499 = u - b. Solve u*j - 4*j - 5 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-8))\/(40*18\/1152)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3027 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 3014\nAnswer: -3006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 - (3 + -15 + 14 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1608\/23 in -4\/3, 3, -254, 1\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 8 = 5*u + 2*h, 5*h + 5 = 0. Suppose -l + 0*l = -3. Suppose 1 = -y - 4*n + 2, -3*y = 2*n - l. Solve -1 = -u*f + y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5758574 or 5758568?\nAnswer: 5758568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + s**2 + 1)*(4 - 4 + 1) - 9*s + 9*s**2 + 9*s)*(2*s - 2*s - s) in the form n*s**3 + k*s**2 + y + r*s and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27141 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 3, -0.2, -175, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214173457.\nAnswer: 7, 9413, 18427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -286 - -302. Solve 2*a - 3*n - h = 0, 11 = 2*a - 2*n - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.7 - 1.3. Let s = y + 19.2. Round s to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -12*f**3 + 165*f**2 + 4294*f - 42. Give w(27).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3519 and 1789929.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**5\/60 + 3*u**4\/8 - 4*u**3\/3 + 2*u**2. What is the units digit of i(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/25, 4, 9\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -60*(2 - (11\/2 - 2)). Suppose 0 = 3*t - q - 15. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v = -z + 188, 2*z = -3*v + 117. Suppose -2*h = 5*y - v, 2*h - 7*h - 4*y = -67. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94686583.5998954 - -94686593. Let v = r - 9.4. Round v to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(272\/(-11220))\/2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 6*l - 7. Suppose 0 = 3*q - 4*d + 13, 8*q - 2*d + 45 = 3*q. Let j = q - -17. Let w be (j + -2)*(-5)\/4. Determine m(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 46.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a - 7494?\nAnswer: -7475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -37*v**3\/6 + v**2 + v. Let t be f(-6). Suppose -2*x - t = -6*x. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*n - 1762 = -1018 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3 - 3. Let j be -1 - (-2 + 6)\/v. What is the remainder when 37 is divided by 2 - 24\/(j\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700 + 88 = -57*u - 580 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111000 - 10101010011000010?\nAnswer: -10101011011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28778, -58638, -88498, -118358, -148218?\n\"Answer: -29860*m + 1082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/3))**(-24\/7))**(-5\/16)*(z\/((z*z**(-1\/3))\/z*z))**(1\/46)\/((z*z**(-2\/5))\/z**(-2\/13)) assuming z is positive.\nAnswer: z**(-12227\/31395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -7 - 9. Let q be ((-202)\/(-6))\/(((-1)\/3)\/(-1)). Let c = q + -100. Sort 2, c, g in increasing order.\nAnswer: g, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2666)\/206615 + 21820\/9300.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106708534 divided by 4?\nAnswer: 53354267\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13577?\nAnswer: 13577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90210, 180517, 270924, 361479, 452230, 543225, 634512?\nAnswer: 726139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-784)*-105)\/((-9)\/24).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.2, 7\/30, -2, -0.3?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5 + 2 - 4*n**2 - 3 to the form c + u*n**2 + p*n and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 13. Let b = 44.5 - 45. Sort b, n, -3 in ascending order.\nAnswer: n, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -2*v**3 + 19*v**2\/2 + 10*v. Is f(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*a - 584*a - 3578*a = 222660 for a.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/2)\/((-93)\/(-117087))?\nAnswer: 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3444 + -1?\nAnswer: 3443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 232, 240, 248, 256?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + ((-5 - 62) + (40 - 26) - -9) - 14?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:30 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + -3*(sqrt(363) - (4 + 0 + sqrt(363) + sqrt(363))**2).\nAnswer: 495*sqrt(3) + 4409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p + 7*p - 8. Let s be 198\/12 + 3\/p. Solve s = -0*h + 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 716?\nAnswer: -23\/716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 36*a**2 - 19*a + 691. Give f(36).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00054777 to five dps.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 20*u**2 + 8 + 1 + 7 - 18. Let g be c(2). Let o(k) = k + 195 - g - 102. Calculate o(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**5*y)*y**1\/y*y*y**(-1)*y**(2\/15))**(1\/35) assuming y is positive.\nAnswer: y**(-103\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/32 in -9\/13, -0.5, -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -187aa6b?\nAnswer: -187aa6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5766?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:48 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*s - 0*s - 449, 3*s = k - 121. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.046 times 3\nAnswer: -0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(10)\/sqrt(2) + 2 - (sqrt(5) + -1)*-3.\nAnswer: -1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -55*q - 71. Let g = 30 + -46. Is u(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = g - 2. Let d(m) = 2*m**2 - 4*m + 3. Is d(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(144)*-3).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-8) + (-231)\/(-84). Suppose 0 = -c + 4 - 0, -x - j*c = -16. Suppose a + 5 = -5*z - x*z, -25 = z + 5*a. Solve y - 4*y + 3 = z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3477239 is divided by 1230?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1770, -3507, -5242, -6975, -8706, -10435?\nAnswer: -12162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 335?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 11 + 12 - 2*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 5) + -8 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2))\/(-2 - (-1)\/2). Solve -3*o = l - 18, -o - 3*l - z = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1))**42)**(-6\/11) assuming i is positive.\nAnswer: i**(-504\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 9*z**2 + 11*z + 11. Let m be g(10). Let s be (-9)\/m - (1 + -1). Let l = 2 - 2. Does s = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 464102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10640*y**6 - 15138*y**2 wrt y?\nAnswer: -1276800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -146 + 6 + 9 + 2*b wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7599 divided by -3?\nAnswer: -2533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1156\/408*28\/(-952).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 10. Let c(l) = 2*l**2 + 2*l + 3. Let t(o) = -4*o**2 - 5*o - 6. Determine w*c(u) + 2*t(u).\nAnswer: 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28001 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 125. Let u(o) = o + 121. Calculate -4*j(g) + 3*u(g).\nAnswer: -g - 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.26338 (b) -1 (c) 86 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 265 - 264.9999451. What is t rounded to 6 decimal places?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - 30*p**2 - p - 16. Let r be c(-15). What is the smallest value in -2, r, 5\/4, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10349 and 632.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53457*l**5*o + 8*l**4*o + 4*l**2 - l*o + 1473*l - o + 26 wrt l?\nAnswer: 1069140*l**3*o + 96*l**2*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57538 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 2 (c) 3 (d) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 1 (c) 30\/42329\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4\/5 + 2121*s**3 - 10602*s**2\/5 - 21208*s\/5 = 0. Calculate s.\nAnswer: -1, 0, 2, 10604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 27, -48\/37, -0.0105?\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j - 26. Let r(y) = -4*y**2 + 97*y - 331. Let t be r(20). Calculate l(t).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**4\/8 + o**2. Let x(i) = 13*i**2 - 12*i + 6. Let w(c) = 28*c**2 - 26*c + 13. Let u(y) = -6*w(y) + 13*x(y). Give b(u(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/23*(-4)\/4*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/5848157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 1. Let d be t(2). Suppose -11*q + 14*q - 9 = 0. Let x(n) = 3*n - 5*n + 1 - q + d*n. Determine x(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 24. What is the remainder when 59 is divided by 1\/(r\/(-32)*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 17*i = -5. Which is the closest to -1\/3? (a) -2 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 723540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times 0.03664?\nAnswer: 0.05496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-3 - 25\/(-5)). Solve 0 = j - p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 24 = 12*q. Let w(h) = 15*h - 47. Let g be w(q). What is the highest common factor of g and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 875095.312 to the nearest ten thousand.\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*i - 89 + 89 + 4*i - i - i + (-2*i - 2 + 2)*(-1 - 1 + 1) + (4*i - i - i)*(-102 - 110 + 226) + 3*i - 4*i - i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - 0.2. Let x = -10024 + 10019. Put m, -1, 5, x in descending order.\nAnswer: 5, m, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 72 = -47. Suppose -3*v + o = 44. What is the remainder when v is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23112175 to the power of 1\/2, to the nearest integer?\nAnswer: 4808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -52*j. Let p = 10 + -11. Does 13 divide t(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 295, 1066, 2843, 6166, 11575?\n\"Answer: 90*a**3 - 37*a**2 + 252*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2207649 divided by 1\nAnswer: 2207649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0*n - 3*n**2 + 1\/4*n**5 + 1\/24*n**4 - 4 - 15\/8*n**6 + 0*n**3. What is the third derivative of d(g) wrt g?\nAnswer: -1350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -39*m**2 - 663*m + 5. Let r be a(-17). Solve -2*o - 3*w = -16, 15*o + r*w = 16*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -86, -91?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -18.6. Let h = 0.5 - r. Let n = h + 1.0999824. Round n to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/20 and -3*3\/(-12) - (-68)\/24.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**13*c*(c**(-1)\/c*c)\/c)\/(c**6*c*c)**(1\/2) assuming c is positive.\nAnswer: c**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -76.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - k**2)*(187 - 187 + 33*k**3) + (-k + 3*k - k)*(-2*k + k**4 + 2*k) - 2*k**5 - 4*k**5 + 4*k**5.\nAnswer: -34*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*r + 5*p, -5*r - 2*p = -0*p - 98. Let a be 1\/2 + (-1602)\/r. Let d = a - -80. Which is smaller: d or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5015\/15 + 4 - (-1)\/(-3). Calculate the highest common divisor of 78 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -11.3, -0.4, 1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7634609 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 16 - 94 = 0. What is the remainder when 73 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5272667, -5272658, -5272635, -5272592, -5272523?\nAnswer: -5272422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2)\/b**3)\/((b\/(b\/(b**(3\/8)\/b))*b)\/b*(b*b**3)\/b))**(2\/107) assuming b is positive.\nAnswer: b**(-59\/428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 376660 divided by 75332?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -479 - -806863\nAnswer: 806384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -11 + 2 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/4 + 2172\/16. Which is greater: g or 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, y: 2}. Give prob of picking 1 i and 2 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 15*h + 5. Let v be p(15). Let c = v + -10. Let s be 50\/(-15)*2\/c. What is the nearest to -0.3 in s, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 825731120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-9) + (-10)\/45. Let r = -3\/31 + -41\/217. Let m = -1 - -3. What is the closest to m in -5, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/5 - (-378)\/(-385). Let p = -0.3631 - -0.0631. Which is the nearest to -0.1? (a) p (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*h - 20. Let v(s) = -3*s - 7. Give v(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1274205.25066 + -3.\nAnswer: -1274208.25066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 351 - 346. Let g = 7 + -6.9. Which is the biggest value? (a) x (b) g (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*t - 2822 - 2821 + 5643 + 31*t.\nAnswer: 68*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + ((-15244)\/(-111))\/((-2)\/(-108)). Solve 7418*w - v*w - 20 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 + 136. Let l = 90 - q. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3556\/15240*(200 - -10)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*c - 35*c + 52. Let u be c\/(-8)*12 - -23. Calculate the highest common factor of 1462 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/13, -0.3, 36\/5 in descending order.\nAnswer: 36\/5, -2\/13, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3 + 2*m**2 + 3*m**3 - m**2 + 1 to t*m**3 + v*m**2 + f*m + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 t when four letters picked without replacement from hhahhathhahaht.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 337585?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10800 + 10903. Let s be (-2 + 1)\/(4\/(-76)). Suppose 0 = -5*x + 2*k + m, 5*x - 91 = -5*k + s. Find the common denominator of x and 49\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) - 120\/273. Let z = 2\/63 + 59\/126. Let f be 1\/((-1)\/(2\/2)). What is the nearest to 1\/3 in f, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 5*q**2 + 2*q + 4. Let n be k(6). Let m = n + 20. Are m and 6\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8725233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s. Let q(j) = -2 + 5 + 1 + 12 + 7*j**2 - 6. Calculate q(w(p)).\nAnswer: 63*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1805\/53402?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (6 - (0 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 221 + -120. What is the hundreds digit of w + 18\/(-6 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2 - 126650*g - 1297689?\nAnswer: 2*g - 126650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 373472369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q + 1. Suppose -14 + 18 = 4*i + 4*f, i - 10 = 2*f. Let o(a) = -3*a - 1. Give i*w(c) + 3*o(c).\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/9)\/(x**5\/x)*x**(-7)\/(((x\/x**(-2)*x)\/x)\/x)*x**(4\/5)\/(x\/x**(-4)*x*x)*x\/((x\/x**(1\/6)*x)\/x*x)*x\/(x*x**8) assuming x is positive.\nAnswer: x**(-2503\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 175345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 8*f - 4. Let i be n(-6). Let y be 3\/(6\/i) + -4. Let v(q) = -q**3 + q + 223. Is v(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-27))\/(1\/(-15)*1). Let l be 17\/(-19) - (1 + -2). Which is the biggest value? (a) -2 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x + 108. Let c = x + 156. What is c rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1564384, 3128767, 4693146, 6257521?\n\"Answer: -2*p**2 + 1564389*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37982479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 43\/(-129)*1\/(-1). Let n = -6.99 + -0.01. Which is the nearest to -0.3? (a) 0.1 (b) n (c) u (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81226709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 24*w + 4. Let a be g(11). Let y = a + 15. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) - (-7)\/(-28). Let r = -2264 + 2263. Put r, -0.7, t in ascending order.\nAnswer: r, -0.7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-5 + -9480)\/(3*(-7)\/42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 241, 476, 711, 946?\n\"Answer: 235*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o + 34. Let c be i(-5). Suppose 2*f + r - 10 = 0, f + 13*r = 8*r + 5. Suppose 0 = -2*g + 9 - 3. Solve -6 = -f*y + 3*t - c, -5*y - 37 = g*t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 31. Let i(f) = -f**2 - 5*f - 2. Suppose 8*a + 15 = 3*a. Let r be i(a). Solve -v + r = h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-121728)\/(-2219))\/(3\/(21\/2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, q: 1, m: 3, x: 1, t: 4}. Give prob of picking 1 q, 2 m, and 1 t.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/64*4960\/(-930)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15789509 and 1457?\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134\/51 + -22\/17. What is the third biggest value in -4, d, 8\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8230 is divided by 685.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-17)\/3)*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:35 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 165*k**3 - 2*k**2 - 2*k + 3. What is the remainder when r(1) is divided by 75?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 34, 8, -40, -116, -226, -376, -572?\n\"Answer: -k**3 - 2*k**2 + 3*k + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**6\/4 + 9*l**5\/5 + 45*l**4\/8 + 4*l**3 - 41. Factor b(y).\nAnswer: -3*y**2*(y - 8)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 - 64. Suppose j - l = 5*a, 0*j + 24 = 3*j - 4*a. Solve j*v - 10 - 2 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85157857271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -4 - (1 + (-4 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 2 = -3*k. Suppose 24*g - 21*g + 1087 = 5*x, 1460 = -4*g - 4*x. Let u = -355 - g. Calculate the lowest common multiple of u and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/((j\/j**(-19))\/j))\/j)*j**(-40))**19 assuming j is positive.\nAnswer: j**(-380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163833 = 3*g + 5*n, -54631 = -g - 3*n - 2*n. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 31387\/(((-65)\/(-10))\/(-13)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 18. Suppose -u + m + 9 = 0. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52782*l = 52763*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*s**2 - 25*s**2 - 12*s**3 + 55 + 2*s - 56 - 21*s**2 as c + b*s + m*s**3 + z*s**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -2, 322, 12 in ascending order.\nAnswer: -3, -2, 1, 12, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhqqhsshhsjh. Give prob of picking 1 j and 1 q.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -716.8? (a) 5 (b) -4\/7 (c) 0 (d) 1854\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 621 + -622. Is -218\/9 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -29. Solve i*u - 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2 - 403*s\/2 - 101\/2 = 0. Calculate s.\nAnswer: -1\/4, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, 2.35, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o + 6. Solve 6*a + 3*a**3 - 3*a**o + 7*a**2 - a**3 - 4*a = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.07994 + 150.93346. Let s = d - 152. Round s to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/4, 114, -0.3, -4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.42534l in millilitres?\nAnswer: 78425.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175114?\nAnswer: 2, 87557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80483871911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62952.\nAnswer: 2, 3, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552085.\nAnswer: 5, 109, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b = -9. Let a = -8 - b. Let z(o) = -o**3 - 9*o**2 - o - 7. Let w(g) = -2*g**3 - 17*g**2 - 3*g - 13. Let l(v) = 3*w(v) - 5*z(v). Determine l(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 291 = -267 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 4. Let r = -331.7 + 332.4. Which is the second smallest value? (a) j (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s - 164 = -i, 2*i - 3*s + 30 - 83 = 0 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5222 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 50 (b) 0.0957 (c) -221\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 1, 1894 in descending order.\nAnswer: 1894, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 1184?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 3*x + 3. Let y be 16\/(-10) - (-10)\/(-25). Let u be -1 + (y - -1) - -4. Let d be u + -7 + 2 + 1. Let t(b) = -b - 1. Give d*m(p) - 4*t(p).\nAnswer: 2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 11*l**2 + 10*l + 3. Let k be b(10). What are the prime factors of k - 1 - -3*7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -6.2. Let c = g + 6. What is the biggest value in c, -2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*u - 3*u. Let r = -1588\/55 - -322\/11. Which is the nearest to u? (a) r (b) -1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-30)*(-6)\/9. Let w = -3.01 - -0.01. Let a = 7 + -7.4. What is the closest to 2\/5 in a, w, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189789 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.86705 rounded to 1 decimal place?\nAnswer: 163.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 12 + 8 = 0. Suppose -v*y - 3*r = 0, y - 19 = -y - 5*r. List the prime factors of 10 + (-1 - 0 - y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.3 (b) -22.5 (c) -0.1 (d) 1\/4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.581323s?\nAnswer: 8581323000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(z - 2*z + 2*z)*(14*z**3 - 61*z**3 - 9*z**3).\nAnswer: 112*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert f81 (base 16) to base 12.\nAnswer: 2369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 15) in base 3?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 34669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148.7 + 149. What is the second biggest value in -3\/2, -1\/6, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 44*q - 6. Give w(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7708 and 12032?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 5*x**2 - 2*x - 8. Let g be i(4). Suppose g = -2*k - 3*k. Solve -3*f + 2*f - 5*o = 27, -4*f - o - 13 = k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 65. Let n(f) = -f**3 - 78*f**2 - 1522*f - 26. Calculate the remainder when b is divided by n(-39).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:10 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 113754, 227506, 341258, 455010?\n\"Answer: 113752*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2) + (sqrt(50) + -2 - sqrt(2) - sqrt(2))))**2 - ((0 + sqrt(32))**2 + 4).\nAnswer: -256*sqrt(2) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.379 * 1.\nAnswer: 1.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3967 + 3964. Which is the nearest to 0? (a) -0.3 (b) p (c) 1\/56 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**3 - c**2. Suppose 2*y + r = 4, -5*y - 2*r = r - 11. Suppose t - y = -0*t. Let o be l(t). Solve -o*i + q = 25, -5*i - q = q + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3 + 455195*q**2 - 455210*q - 910400 = 0. Calculate q.\nAnswer: -91040, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416965930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000065816421 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 5:44 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*x = 14, 33 = 2*h - 7*x + 12*x. Let n be -1*(-1)\/2*-2. Put h, n, -4 in ascending order.\nAnswer: -4, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481*h + 527*h = 184. Let m(p) = p**2 - 3*p + 20. Give m(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1\/1631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, i: 2, s: 7, o: 4}. Give prob of picking 1 n, 1 i, 1 s, and 1 o.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 12*a + 4. Let g be b(0). Suppose 2*n = -2*x + 102, -g*x + n - 2*n + 210 = 0. Calculate the remainder when x is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, 1\/6, -4, -1.34?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1011845938*r**4 - 3836*r**2 - 48*r + 81 wrt r.\nAnswer: -24284302512*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11.06 * -0.36\nAnswer: -3.9816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 + (-4 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143013 is divided by 142970?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1403*z - 18363. Calculate h(-13).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16 + 13*y**3 - 42*y**3 + 18*y**3 wrt y?\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + y**3 - 25 + 25 - 16*y**3 + (-y + 2*y - 2*y)*(-y**2 - 2*y + 2*y) - 3*y**3 + 2*y**3 - y**3 in the form n*y**3 + x + h*y**2 + k*y and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 271882007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 3*o**2 - o + 4. Let x be j(3). Let c(k) = 2*k**3 - k**3 - 4*k - k**4 - 1 + 5. Let a(u) = -u + 1. Let v(m) = x*c(m) - 4*a(m). Factor v(t).\nAnswer: -t**3*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34886 - 66*c + 69770 - 34887.\nAnswer: -66*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h. Let t(y) = 10*y + 2. Let o(w) = -w. Let u(n) = -3*o(n) - t(n). Let q(c) = -6*k(c) + u(c). What is the smallest common multiple of 4 and q(-16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9*y = 2*a + 210, 0 = -5*y - 4*a + 180. Suppose -80 - y = -2*z. Suppose z*p - 58*p = 6. Solve p*t - v = -8, t - 3*v + 5 = -3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-244)\/((-176)\/96*(-44)\/(-121)*6).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 7) to base 11\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 1)*5 - sqrt(1872)*-2 - (2*(sqrt(1573) + 2 + sqrt(1573)) - sqrt(1573))**2) + 5.\nAnswer: -14163 - 235*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -g - 4*g - 10, 0 = -3*g + 2*j - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8167 - -5399. Does 114 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 10:09 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(1 - 1 + 2*i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*q + 36 - 3, 4*q = 5*s + 77. Let r = -9 - s. Let c(h) = 30*h + 7. Is c(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.41 + 22.41. Let b = 0.8 - 3.8. What is the nearest to 0.1 in g, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689784 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**6 + 806765*k**4 - 7*k**3 + 8115*k**2 + 2842 wrt k?\nAnswer: 120*k**3 + 19362360*k - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -5, 0.051, -0.1?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 82, -0.3, 1\/3 in increasing order.\nAnswer: -0.3, 1\/3, 19, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(528) - (sqrt(33) - sqrt(231)\/sqrt(7))*4)\/(6*(sqrt(11) - (sqrt(11) + sqrt(88)\/sqrt(392)))*4).\nAnswer: 35*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -4. Let u be (-7)\/(3\/(-2 - 1)). Suppose 0 = 2*a - 1 + u. Let t(v) = v**2 + v. Let i(j) = j**2 + 3*j. Determine a*t(f) + c*i(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9053 * -7856.\nAnswer: 71120368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**2 - 6*k**2 - 3*k**2 + 6*k**2 + 0*k**2 - 4*k**2 + (0*k - 4*k + 2*k)*(0*k - 4*k + 3*k) + 1 + k**2 - 1.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 2, x: 6, h: 1, s: 3, k: 2}. What is prob of picking 1 x and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-9 + -12 + 18 - -20)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3551.21 centuries to months.\nAnswer: 4261452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31 * 508083\nAnswer: -15750573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -22*c**6\/15 - 7*c**4\/2 + 4*c**3 + c + 14. Find the third derivative of k(s) wrt s.\nAnswer: -1056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96415025 and 6099?\nAnswer: 2033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 403 (b) -2 (c) -0.077 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 180*p + 13*p**2 + 180*p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-7)\/(21\/18))\/1 - (-8694)\/1080 and -59\/536.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -13. What is the nearest to 8 in o, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 19, l: 1}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 28*f**2 + 54*f + 71. Let q be i(-26). Solve 4*s - 7 = -q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-105) - (-2833)\/7. Suppose 7*j + 2*j - a = 0. What is the greatest common divisor of j and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 506 + -502. Solve u - o - 3 = -u, 0 = 4*u - 4*o + n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, 34, 3\/7, 31 in increasing order.\nAnswer: -1.5, 3\/7, 31, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.85267054 to one dp.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847714441?\nAnswer: 7, 83, 1459061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 29, 5, 2 in descending order.\nAnswer: 29, 5, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -770*v - 9. Let j be z(1). Let h = j + 1216. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = z - 5*m, 5*z - 10 = 2*m + 3*m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75028 + 75031.9997. Let r = -4.7 + 0.7. Let b = u + r. What is b rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 2*w**2 - 1. Let q be t(3). Let f(b) = q*b - 4 - b**2 + 0*b**2 - 2 - 2. Calculate f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*y**2 + 3 + (-2*y + 0*y + 4*y)*(7 - 2*y - 7) + (26 - 7 + 13)*(-3*y + 3*y + y**2) to h*y + s*y**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18249, 36477, 54717, 72969, 91233, 109509, 127797?\n\"Answer: 6*u**2 + 18210*u + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48815 - 48815 - 3*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*f**3\/6 + 3367*f**2\/3 - 1930*f\/3 + 92.\nAnswer: (f + 138)*(7*f - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1214302 > -1214272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2 - 1. Let h = b - -1. Let a(v) = v**2 - 3*v + 3. What is the remainder when a(h) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062360819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5.17. Let d = -0.26 - t. Round d to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o**2 - 5773929*o + 24*o**2 + 5773929*o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5.3 * 0.12\nAnswer: 0.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + 6*x**4 - 2*x**4 + (-6*x**2 - 3*x**3 + 6*x**2)*(3*x - 5*x - 6*x).\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*p + 43 = -4*p, 2*p = 2*g - 18. Let d(u) = 22*u - 126. What is d(g)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/39)*g**30*g)**40 assuming g is positive.\nAnswer: g**(48280\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 - 18*h**3 - 27*h**2 - 12*h.\nAnswer: -3*h*(h + 1)**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 2*u**2 + 5*u - 2. Let s be b(3). Let y(c) = c**3 - 10*c**2 + 18*c - 14. Let q be y(8). Solve s*x - q*o - 10 = 0, -2*x + o = -4*o + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -128\/11, -0.2, 1\/5 in ascending order.\nAnswer: -128\/11, -0.2, -0.05, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2774691 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 4*l**2 - 4*l**2)*(0 + 0 + l**2) + 1844*l**5 + 743*l**5 - 410*l**5.\nAnswer: 2178*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26 + -20)*(-2)\/(-3). Suppose 5*n - n = 4672. Suppose -2*u = -f*b - 3*u + n, 0 = u + 4. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 114\/(-20)*(-4)\/6 and -20\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1869 by 267.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -31040080.77 rounded to the nearest ten thousand?\nAnswer: -31040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -41303 - -1180.2?\nAnswer: -40122.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) - 46\/6. Let p be (-14)\/6 + (-2 - t\/3). Suppose 6*h + 9 = 3*h. Put h, p, 2\/7 in ascending order.\nAnswer: h, p, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -101, -226, -333, -416, -469?\n\"Answer: d**3 + 3*d**2 - 141*d + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 66750*23\/(345\/(-36)). Round v to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 20 = -7*t. Suppose -69 + 17 = -t*m. Suppose -4*k + j = -2, -k + m = 2*k + 5*j. Calculate the highest common factor of 7 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 8) + (-664 - -636) + 0 + 2 + 2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29146, 35929, 42712?\n\"Answer: 6783*n + 22363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 2. Let y be (-6)\/5*(-22 - -17). Let p(i) = 4*i + 7. Calculate y*p(m) + 21*b(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 + 2 = 0. Let r(l) = l - 2*l**2 - 4 + 4*l + l**w. Let p be r(5). What is the nearest to 1 in 3, 1\/5, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*d - 10 = -d, 4 = -d. Let x be ((-18)\/21)\/((-15)\/70). Suppose 11 = -n*l + x*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8364)\/(-320620))\/((-6)\/20)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1091, 811, 375, -193, -869, -1629, -2449?\n\"Answer: 4*f**3 - 102*f**2 - 2*f + 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 - 414034.\nAnswer: -414035.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37a (base 13) to base 2.\nAnswer: 1001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**6\/180 + y**5\/10 + 2*y**4\/3 - 5*y**3\/6 + 42*y. Let r(c) be the second derivative of v(c). Factor r(x).\nAnswer: 2*(x + 2)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 24*n**2 - 26*n - 63. Let d be f(1). What is the greatest common factor of 8 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 10*b. What is the remainder when 31 is divided by i(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -8. Let p be (-2)\/6 - 244\/6. Let o = p - -84. What is the remainder when o is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -213395 or -213394?\nAnswer: -213395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.482 - -5.507. Let x = m + -5.3. Round x to two decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 13. Let j be 3\/(-12) + 46\/(-8). What is the units digit of r\/j + 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/3 + 43844*y\/3 + 702016\/3 = 0. What is y?\nAnswer: -16, 21938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -1)*((-6 - -6) + 0). Let -2\/3*y**2 - 8\/9*y**3 + f + 2\/9*y = 0. Calculate y.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 3*i + 4. Let j = 80 - 83. Calculate r(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -331*z - 222. Let k be g(41). Let b = 19572 + k. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2596 divided by 1298?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 12:38 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 > 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**3 + 38*w**2 + 170*w + 68. Calculate y(-6).\nAnswer: 1712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2113126780 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27264 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7059?\nAnswer: 3, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-5) - (-4)\/(-10). Let d = b + 9. Suppose 0 = d*n + 1286734 + 713266. What is n rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 9 = 4*l, -f + l - 11 = 5*l. Solve 12 = f*m + h, -2*h - 3*h = 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-9)\/12) - 2. Let y be (-3)\/c*(-8)\/12. Are -2\/9 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*((sqrt(52) - sqrt(52)*1) + sqrt(52))**2.\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c2 - -593a0?\nAnswer: 59492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 9*k**2 - 3*k - 12. Suppose -o - 50 = 5*a, o + 0 = a + 4. Let h be l(a). Calculate the highest common divisor of h and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 5*d + 1. Let b = 14 - 20. Let m be (0 - 8)*(-3)\/b. List the prime factors of r(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 4*t - 20, 0 = 3*l - 4*t - 20. Let z(o) = o - 1. Let j be z(l). Let p = -3 - -3.5. What is the third biggest value in j, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 39. Let p(l) = -3*l + 26. Let f(g) = 8*p(g) + 5*y(g). List the prime factors of f(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/75 and 77\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 185620955, 185620966, 185620979, 185620994, 185621011, 185621030?\n\"Answer: x**2 + 8*x + 185620946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 343200 = 25*y. What is y rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1146166160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 326 - 278 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + y = -2*y - 24, 3*y = -3*d - 33. Let i = 2.11 - 1.91. What is the second biggest value in 0, d, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71745886 to the nearest integer?\nAnswer: 8470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -77. Let r = -12 + x. What is the remainder when r is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (289\/1 - 0) + 62 + -60. Let l = c + -176. Calculate the highest common divisor of 69 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 9 = 2*k + 29, 4*k = 20. Calculate the common denominator of (-580)\/144 - 8\/36 and (-362)\/a - 1\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 11) + -55 - (-3 - 3 - -13 - 11)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*4\/36 + -1. Which is the closest to s? (a) 1 (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19788 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + 4. Let m be 29 - ((-2)\/(-2) - 1). Suppose 3*l - a = m. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2457 = 8756*t - 8945*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 2*o**2 + 4*o - 2. Let q be b(4). Let a = q + 16. Is ((-9926)\/(-70))\/(a\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6676, 6671, 6662, 6649, 6632, 6611, 6586?\n\"Answer: -2*b**2 + b + 6677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 104 + 106 = 0. Suppose k*t - 857 = -3*n, -99 - 761 = -3*n - 5*t. Is 29 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**3\/3 + 5*m**2\/2 - 2*m - 4. Let d be w(2). Suppose -d*r + 4*k = r - 659, 5*r - 691 = -4*k. Is r a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 9*j + 14. Let z be r(-10). What are the prime factors of 10 - -33 - z*-1?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/5 + (5 - 2) - 111\/37.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/(-65))\/((-132)\/(-790)). Let z = p + -3\/22. Let n = -1.4 - -1. Which is the nearest to 2\/5? (a) 3 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -528*x**6 + 138*x**5 - 1126447*x**2 wrt x.\nAnswer: -63360*x**3 + 8280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75.21 - -1.21. Let n = g - -74. Which is smaller: -1\/44 or n?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 3*v = -21, 27*c - 5*v - 28 = 24*c + 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(60) - sqrt(15))\/sqrt(5).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17082\/(-12)*2\/(-3). Let n be (-10)\/(-8)*(-1464)\/(-305) - -7. Calculate the greatest common divisor of c and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2589*k**3 - 10946*k - 5435*k**3 - 2328*k**3 + 17722*k wrt k?\nAnswer: -62112*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**5\/20 - h**4\/3 - 5*h**2\/2 - 84*h + 33. Let v(z) be the first derivative of r(z). Determine v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k = 22*k - 24*k - 249360. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 1. Let k = -8 + d. Let p(i) = -8*i - 3. Is p(k) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -4*t**7\/3 - 3*t**5 + 209*t**3\/3 - 4*t**2 - 9*t - 129. Find the second derivative of b(f) wrt f.\nAnswer: -1120*f**3 - 360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4296*u**4 - 2*u**3 - 2183*u?\nAnswer: -51552*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/10)*b*b**(-9)*b*b**(2\/15)*b**5)**(-1\/12) assuming b is positive.\nAnswer: b**(13\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(15\/(-1))*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/10)\/((-4)\/10). Suppose 3*p - 2*z - 19 = 0, -4*p - 2*z + j = -42. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxkdxxcxxxd.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 1042?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkcfaia. Give prob of picking 1 i and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2121, -98, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32146445\/58086 - -3874\/7. Let a = 6156492301 + -127716432964724\/20745. Let y = q - a. Find the common denominator of 49\/9 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a8a36 (base 11) to base 16\nAnswer: 4df7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**22*h*h**(-18\/7)*h*h**(-23)*h*h*h**24*h*h*h assuming h is positive.\nAnswer: h**(192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 99, 132, 165?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 15*p**3 - 1652*p**2 + 220*p - 2. Give o(110).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Let t = -2.6 + j. Suppose 5*z = -3*v - 0*z - 2, 0 = 5*v - 2*z + 24. Which is the closest to 0? (a) t (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10802 - -10790. Let m(p) = 4*p + 58. What is m(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233867891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o - o + 5*o)*(-186 + 26 - 18) in the form y*o + p and give y.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 3:07 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/7, 5, -6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164587 is divided by 1000?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 1416935.7 months in years?\nAnswer: 118077.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -39. List the prime factors of (-9)\/(-6) - 242\/s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5996 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a - 3*a**4 - 8*a**3 - 8*a - 7*a + 2*a**2 + 19*a in the form t + b*a + w*a**2 + q*a**4 + j*a**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1549654 divided by -254.\nAnswer: 6101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Suppose n - 4*b = -18, 5*n + 5*b - 20 = t*b. What is the units digit of n*-1*(-3)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 276371*c + 276371*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33247\/16352 + 1\/511. Find the common denominator of 93\/20 and q.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-33))\/(1\/2)*(-18)\/(-4).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/((-80)\/(-702240)*66).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*h**3 + 5*g**3*h + 184*g*h**3 - 968*g*h**2 - 12*h**3 wrt h.\nAnswer: 12*g**3 + 1104*g - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**3*o + 138173*b**3 - b*o - 4680868*o wrt b?\nAnswer: -3*b**2*o + 414519*b**2 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-40)\/38 - -1)*2. Let g(w) = w**3 + 14*w**2 - w - 13. Let j be g(-14). Is u < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -3\/2 (c) -12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*6\/630)\/(1\/((-10)\/(-33)))?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9312688 a multiple of 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39.067 - 0.067. Let h = x + -38.89. Let b = 9 - 14. What is the second biggest value in b, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12606.8 plus 831659408?\nAnswer: 831672014.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-28))\/(14\/(1666\/17)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*b - 1. Let t be -3 + (-2)\/b*1. Let l = t - -9. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/x**17))\/((x*x**11)\/x*x))\/((x\/(x\/(x**(-1\/10)\/x)))\/x**(2\/11)) assuming x is positive.\nAnswer: x**(801\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 886 divided by 2?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -617 - 20554?\nAnswer: -21272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 27557089\nAnswer: 13778544.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27926, 26625, 24456, 21419, 17514, 12741?\n\"Answer: -434*i**2 + i + 28359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3, 0*r - 281 = -z - 5*r. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14770700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101aaa (base 11) in base 15?\nAnswer: -4d34c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z + 2*z + 0*z)*(1 - z - 1) - 3*z**2 - 2*z**2 + 3*z**2)*(-6*z + 3*z - 2*z)*(-1 + 4 - 1) + 3*z**3 - z**3 - 3*z**3.\nAnswer: 49*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -58\/15*y**2 + 2\/15*y**3 - 392\/15 + 448\/15*y = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/1819 - 1823\/7276. Which is the fifth biggest value? (a) 3\/23 (b) -2 (c) -17 (d) m (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.2, 2, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*h + 4514160 - 4524105 = 0 for h.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*t + 75. Let h = t - 10. Let l(b) = 6*b - h*b + 2*b. Let i(m) = m. Calculate l(i(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.061 - -55.061. Let a = -51 + h. What is the nearest to 0 in 0.05, -3, a?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/((-6)\/9). What is the closest to g in -0.1, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47301307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4598*h*k - 6*h + 109*k - 25 wrt h?\nAnswer: 4598*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyppypyypypp. Give prob of sequence py.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 946021208 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 149 + -102. Suppose 2*p = -3*t + 7*t + 56, 3*t - 4*p + b = 0. List the prime factors of (-6)\/(-15) + t\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 7*r - 8. Let a be y(-4). Suppose 3*h + 2*h = 35. Let c = -7 + h. Solve c*i = -4*i - a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(10\/3)*16\/(-24). Solve -2*n + u = -3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67401564*o - 40169052 wrt o?\nAnswer: 67401564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 39913786.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01418 + 22240.98582. Let n = p + -22244.2026. Let w = 3.2 + n. What is w rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y - 2. Suppose 3*t = -5*b + 57, -9*b + 4*b = 5*t - 85. Let m(x) = -4*x + 1. Suppose -6*j = -9*j + 18. What is j*f(q) + t*m(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m. Let y(s) = 231*s. What is o(y(k))?\nAnswer: -462*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 12 - 20)*((0 + 1 + 1)*(c - 3*c + 3*c) + 0*c - 5*c + c).\nAnswer: -64*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2914 and 756.\nAnswer: 3670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**2. Let c(v) = 503*v**2. Calculate c(s(u)).\nAnswer: 18108*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {n: 1, f: 1, m: 1, v: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 5. Let t(s) = s**3 - 7*s**2 + 8*s - 8. Let x be t(j). Let k be (-2*x\/1128)\/(3\/4). Is -1 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 60.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1156*m**2 - 1156*m**2 - 514*m**4 + (0*m**2 - 8*m**2 + 3*m**2)*(-2*m**2 + m**2 + 3*m**2).\nAnswer: -524*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9 = 1. What is the remainder when (-10)\/k*18\/(-30) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68397 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 29*g**2 - 32*g - 8. Let c be r(30). Let a = c - -61. Let m be 1\/a + (-3948)\/(-196). Solve -4*j - 3*l - 6 = 0, -m = 4*j - 5*l + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/27 and -181\/558030.\nAnswer: 5022270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 56*q**2 + 6*q - 10. Let v be f(4). Suppose d = h - v, -3*h + 9*d = 10*d - 2734. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**6\/120 - g**5\/12 + 7*g**4\/24 + 7*g**3\/6 + 3*g**2. Let a be c(-6). Let l = a - -5. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*u*v**2*w**2 - u*v*w**3 + 49*v**2*w**3 - 8*v**2 - 2*v*w**2 wrt w?\nAnswer: -6*u*v + 294*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*((sqrt(1053) - (0 + sqrt(1053))*3)**2 + sqrt(1053))*6 + 4 + -1.\nAnswer: -50544 - 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 45, 60, 73, 84, 93?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*x = 481, -4*x + 5*x = 5*f - 1243. What are the prime factors of f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -13*x**3 - 13*x**2 - 5*x. Let s(f) = -6*f**3 - 7*f**2 - 2*f. What is -5*s(b) + 2*u(b)?\nAnswer: 4*b**3 + 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 225, 281, 337, 393?\n\"Answer: 56*z + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150904224 and 11.\nAnswer: 1659946464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22628639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127843*j**3 - 613463*j**2?\nAnswer: -767058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdkk when four letters picked without replacement from {k: 9, d: 10}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 1)*6\/(-5). Let q(r) = 9*r - 50. Let m be q(b). Suppose 4*n - 3*i = 145, -m*n - 4*i + 185 = i. Calculate the highest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**1*v**(-2\/5)*v)\/(v**0)**(9\/7)*(v\/(v**(-5)*v)*v**2)\/(v**(-5)\/v**(2\/9)) assuming v is positive.\nAnswer: v**(577\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*u + 5*u = 175, -2*x + 74 = 4*u. Let q be (3 + (-10)\/(-3))\/(1\/x). Let y = -123 + q. List the prime factors of y.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 4*f + 42. Suppose -f*r = -19*r. Suppose -2*l + 8 + 4 = r. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66809067 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + 1603*o**2 + 52476*o + 2025. Determine h(833).\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000779883 rounded to 6 dps?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24409 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:10 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4312 + -0.3312. What is the second biggest value in 2\/9, h, -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385207517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 24*x**2 + 4*x**3 - 11*x**3 + 0*x**3 - 7*x**3 + 8*x = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30098.6 millilitres to litres.\nAnswer: 30.0986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 8 = -32. Let j be (-135)\/(-25)*q\/(-6). What is the greatest common factor of j and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2761 and 1166.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -64. Let o(h) = -107. Let b(q) = -5*j(q) + 3*o(q). Let u(a) = -14*a - 3. Give 3*b(s) - u(s).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*n + 81, 5*v - 63 = -3*n - 153. Let c = -23 - n. Find the second derivative of h - 9*h**c - 6*h**2 + 27*h**2 wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34421 is divided by 107.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = 23*q - 403. Let m(d) = -d + 12. Let n be m(10). Suppose n*j - 7*j = -o - 16, -5*j = 2*o - 13. What is the remainder when q is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6848, -6495, -5906, -5081, -4020, -2723, -1190?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 - 112?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2142858 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Suppose -p*j + j = 0. Let m(q) = -q**2 - 6*q - 2. Let w be m(-6). Which is greater: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/5)\/(424\/1060).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 610383.9km to micrometers.\nAnswer: 610383900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {g: 5, c: 1, q: 3, t: 1, k: 1, u: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*p - 38*p - 2160. Is 1\/6 - 1403685\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 212935968 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-9 + 5)) + (4 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -184979, -185019, -185087, -185183, -185307?\n\"Answer: -14*p**2 + 2*p - 184967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**7\/6720 + q**6\/180 + 7*q**5\/192 + 3*q**4\/32 - 56*q**3\/3 + 24. Let h(k) be the third derivative of z(k). Solve h(f) = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**2\/a))**(-7) assuming a is positive.\nAnswer: a**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 342 and 100890?\nAnswer: 100890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 3*w - 4 + (-3*w + 0*w + 0*w)*(-74 + 35 - 96).\nAnswer: 402*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 3 - 2\/(-2). Let f be (45\/(-10) + 4)*((-11 - -16) + -6). Factor f*p + 1\/8*p**l + 1\/2.\nAnswer: (p + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235905 and 23955?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60175900 rounded to the nearest 100000?\nAnswer: -60200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 - 9325*u - 65030 = 0. Calculate u.\nAnswer: -1858, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1.1, -66.767, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5\/4 + 33*c**4\/4 + 1361*c**3\/4 + 5055*c**2\/4 + 1541*c + 609 = 0. Calculate c.\nAnswer: -21, -2, -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 + (-96)\/(-40). Suppose 0 = 4*b - 5*y + 22799975, -p*b - 3*y + 6*y = 11399985. Round b to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1099, 1145, 1227, 1363, 1571, 1869?\n\"Answer: 3*f**3 + 25*f + 1071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiiskskkmbbk. Give prob of picking 1 y, 2 k, and 1 b.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -538 - -2173\/4. What is the common denominator of z and 5707\/(-845) - (-2)\/13 - -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 46. Suppose 17 = 3*s + 2*i, 10*s + 13 = 13*s + 4*i. Suppose -2*l + 684 = s*l. What is the remainder when l is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w - w - 4*w + 2*w + 0*w + (0*w + 2*w + 0*w)*(2 + 1 - 4) - 2*w + 0*w + 3*w)*(4*w**2 + 11*w**2 - 5*w**2)*(-3*w + 2 - 2).\nAnswer: 150*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30414? (a) 0.5 (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3*g**2 - 44*d**3*g - 28*d**2*g**2 - d*g - 2*d wrt g.\nAnswer: 6*d**3 - 56*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21912, 84415, 188586, 334425, 521932, 751107, 1021950?\n\"Answer: 20834*n**2 + n + 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775848672.\nAnswer: 2, 13, 4268867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202 - -300123323?\nAnswer: 300123121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093360.\nAnswer: 2, 5, 79, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 1. Let t(i) = i**2 + 10*i + 30. Let z be t(-5). Suppose z*b + 4*q - 15 = 6*q, -3*b = 3*q - 9. Give v(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 2, x: 4, n: 7, q: 5}. Give prob of sequence xqo.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-137.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 72 = -2*l. Solve -5*x - l*x = -14*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m - 197*m + 312840 = 0. Does 79 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -97*b + 2. Let j be v(0). Solve -25*q = -26*q + j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 23567 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbb when three letters picked without replacement from brrrrhrhevhehhsbshb.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**4 - f**5 - 3*f**4 - 328*f**4 + 328*f**4 - 25*f**5 + (-1 + 3 - 3)*(-3*f**5 + 2*f**5 - 3*f**5).\nAnswer: -22*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 64676 + -13?\nAnswer: 64663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 491680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 11 = 64. Let q = 113 + a. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -2 (c) -1175 (d) -1\/4 (e) 0.5 (f) -18 (g) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.63 + 1.57. What is j rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3 = -19. Let m = -23 - -43. Let p be (-220)\/(-25) - t\/m. Calculate the highest common factor of 6 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b - 290. Calculate o(-58).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.080059 - 0.08. What is x rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r**2 + r + 8. Let s(m) = 4*m**2 - 4. Let g be (-3)\/6*(4 + (1 - -1)). Let i(t) = g*l(t) - 7*s(t). What is i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301.1252 nanograms to tonnes.\nAnswer: 0.0000000000003011252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.418 + -4208.418. Let h = u - -3678.8. What is h rounded to the nearest 10?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 363 * 0.4.\nAnswer: 145.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.44 + 7. Let s = -2.49 - -2.012. Let h = s - o. What is h rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 2*m - 2. Let r(v) = 859*v**3 + v**2 + 707*v + 10. Let x(c) = -5*i(c) - r(c). Find the third derivative of x(j) wrt j.\nAnswer: -5124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -671, -1246, -1821?\nAnswer: -2396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2 - 687497900*i - 23632668125220500 = 0. Calculate i.\nAnswer: -68749790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -2.15?\nAnswer: -2.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783940 is divided by 477?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 16, x: 2}. What is prob of sequence sssx?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 1020*q - 254449. Calculate f(-585).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 18*k - 2. Let g(u) = 4*u**2 - 65838*u - 24 + 65838*u. Calculate h(g(w)).\nAnswer: 72*w**2 - 434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1 + sqrt(1584) + sqrt(1100) + 0)*4*4)**2.\nAnswer: -4089600 + 33792*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -13. Let f = 33 + -29. Suppose 4*b = 5*r - 5 + 22, -r + 11 = f*b. Solve -i = -b*q - 0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i - 9*i + 18*i + 6*i to the form p + w*i and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 - (0 - (-6 - -2)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -22, 4, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**7\/840 - 19*j**4\/6 - 14*j. Let v(p) be the third derivative of h(p). Let t(m) = -5*m**2. Give t(v(d)).\nAnswer: -45*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 715\/147 - 26\/49. What is the closest to 1\/3 in -0.5, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9546740, -9546747, -9546758, -9546773, -9546792, -9546815?\nAnswer: -9546842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0 (b) 251015 (c) -5\/6 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -3*z**3\/2 - 97*z**2\/2 - 13*z. What is the least common multiple of 8 and x(-13)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 18. Let d be y(15). Let x be 12\/8*(d + -1). Find n such that -2\/5*n**2 + 0 + 2\/5*n - 4\/5*n**x = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 78?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15422947*j**2 + 8105135*j?\nAnswer: -30845894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z - 2. What is k(-5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 89877 = 3*v + 99677, -151633 = -4*f - v. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -91*v - 76*v - 1364 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1525 and 6065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 0.5 (c) -2 (d) 3\/11 (e) 386 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 44 + 42, 0 = 5*k + 3*u + 36. Which is the closest to k? (a) 0.5 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 0 + 2 - 3)*(2*j - 5*j - 2*j)*(2 - 2 + 1).\nAnswer: 10*j**4 + 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 + 4*f - 4*f + (f + f - 3*f)*(f - 3*f + 3*f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -23, -5, -11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -3371, -11428, -27117, -52982, -91567, -145416, -217073?\nAnswer: -309082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, 0, -1, -15, 118 in decreasing order.\nAnswer: 118, 6, 4, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2. Let u(k) = 9466*k**2. What is u(b(d))?\nAnswer: 9466*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9703 + -9726. Put a, -18, -1 in descending order.\nAnswer: -1, -18, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -13, 1, 37, 101, 199?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3573 times -3\nAnswer: 10719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 2 (c) -10 (d) 0 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -20 + (396 - 344) - (-9 + 2 + 0).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 401 - 0?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27821.9697 and -206.\nAnswer: 27615.9697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*l - 6 + 22, -5*l - 4 = 2*t. Let i be 5\/(-12) + l\/(-3). Let x = 235\/3 + -79. What is the nearest to i in -2\/9, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*-2*5)**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-19)\/3)*-6. Let g = -6 - m. Let f = 6 + -1. What is the highest common divisor of g and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 564 and 18?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1 + (-2 + 1 + 3)*(-1 + 2 + 1) - 1 + 3 - 3)*(-4*h**3 - 5*h**3 + 0*h**3).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -310?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 910648682447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 6:56 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622 is divided by 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 563 divide 42839333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 27. Let n(p) = -p + 26. What is 2*c(a) - 3*n(a)?\nAnswer: a - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-888*m + 446*m - 6*m**2 + 445*m + 1)*(0 - 1 - 1).\nAnswer: 12*m**2 - 6*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 9. Let y be 2 + ((-32)\/(-8) - (3 - -1)). Suppose 20 = -5*s + 4*r, -9 = -y*s - r - x. Solve 4*m = 16, 3*m = u - s*m + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*g**2 - g - 168*g**2 + g + 334*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/t**(-2\/17)))\/t**(-2))\/((t*t**(-2)*t*t)\/(t**(1\/14)*t)))**(-9))**(2\/11) assuming t is positive.\nAnswer: t**(-4185\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*l + 4*l + 5, -4*s + 3*l = 27. Let a(z) be the third derivative of -1\/60*z**5 - 1\/8*z**4 - 3*z**2 + 0*z + 0 + 1\/6*z**3. What is a(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -19 + 12*d - d**2 + 0*d**2 + 10. Let h be w(11). Solve h*l = l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/1515 and 68\/1515?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 1:56 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -155.5\nAnswer: -1866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 92, 184, 334, 554, 856, 1252?\nAnswer: 1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.27. Suppose -5*i + 11 = -r, -3*r + 4*r - i = -3. Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21, 0.7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856447 to the power of 1\/2, to the nearest integer?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123202 - 1?\nAnswer: 123201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 12*h**2 - 12. Let f(k) = 12*k**2 - 10. Let z be (-24 - -14)*2\/(-4). Let n(s) = z*i(s) - 6*f(s). Let j(b) = b**2. Determine n(j(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-five quarters of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -188, -276, -388, -518?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**(-1\/23))\/o)\/o**(-2\/23))\/(o\/o**(-7))**(-13) assuming o is positive.\nAnswer: o**(2416\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 93, 63, 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7066.439 to the nearest 10.\nAnswer: 7070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44433 * 3.\nAnswer: 133299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -23*r + 7. Suppose b + 26 = -4*f + 3, 0 = -4*b - 12. Let i(w) = 35*w - 10. Let h(a) = f*i(a) - 7*t(a). Determine h(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 175 = 22*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -12 + (5 - (8 + -4)) + 8 + 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**4 - 47*d**3 + 2*d + 36?\nAnswer: 36*d**2 - 282*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 - 45 - 7*n + (4*n - 5*n - 4*n)*(0 - 2 + 0) to the form f + q*n and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2. Let n(t) be the first derivative of t**4\/12 - 3*t**2\/2 + 2. Let u(p) be the second derivative of n(p). Calculate h(u(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2471 (base 13) in base 3?\nAnswer: -21002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1509*r - 2031*r + 3896*r + 18657 - 4773 = 0 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 2 - -11) + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*f - 247*f - 116 = -4*i, i - 50 = 4*f. Suppose 5*n - 22598 = 12377. Suppose 0 = 21*c - i*c + n. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/1 - (-2)\/(-3 + 2). Suppose -2*g - 114 = 4*y, -p*y + 3 = 3*g + 54. Is y greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**4\/6 - 5*p. Let h(n) be the second derivative of n**4\/6 - n. Give q(h(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/((-1)\/2)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from ezezzvi?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 7 = 1. Let h(x) = -x**3 - 4*x**2 - 2*x + 1. Let t be h(l). List the prime factors of (-12)\/(-8)*26 - t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/107 (b) -3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317273 to the power of 1\/2, to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 3*v - 3*v)*((3 - 1 - 1)*(-3*v + 7*v - 2*v) - 7*v + 4*v + 2*v - 933 + 933 - 65*v) to the form g + t*v**2 + c*v and give t.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from vbzvzctbzzbttlt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, y: 1, n: 1, a: 2, t: 1}. Give prob of picking 1 n, 1 p, 1 t, and 1 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2197215s in milliseconds?\nAnswer: 219.7215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 41*x - 924. Give b(-16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.032? (a) 5 (b) -0.02 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2232001023 - -113?\nAnswer: 2232001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 5e9637 (base 15) to base 9\nAnswer: 8475127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*m*p**3 - 8*m*p**2 + 4*m - 3*p**4 + 474*p**3 + 697*p**2 wrt p.\nAnswer: 252*m - 72*p + 2844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/(-60) - (36\/(-8) - (-38)\/12).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/81452 and 107\/127996.\nAnswer: 895972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2157 - 2160. Is j != -30\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*n - n + 2828, 4*n + 1424 = 2*r. Let x(q) = -3 + 4*q**3 + 2*q + r*q**2 - 3 - 710*q**2. What is the hundreds digit of x(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + h**2 + 0*h)*(21*h + 28*h - 83*h) in the form j + s*h**3 + v*h + z*h**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 488 + -485. Find q such that 10\/3*q**c - 14\/3*q**2 + 4\/3*q + 0 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5504342 - 15?\nAnswer: 5504323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 118 = 47. Suppose 3 = -u*y + 36*y. Which is the smallest value? (a) y (b) -3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7 + 9 - 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91\/12 - -589\/12. Let x = 9506 + -132987\/14. Find the common denominator of x and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/2 + 251120*i**2 - 29132443*i\/2 + 211216309 = 0.\nAnswer: -502298, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 49. Let d be r(-6). Let w = 198 - d. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/5 - 19916188*p\/5 - 49581818056418\/5 = 0. What is p?\nAnswer: -4979047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2712, -4, -2, 3 in increasing order.\nAnswer: -2712, -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) - (-115)\/(-20). Let x be 2\/v*-9*1. Suppose 0 = -8*h + x*h + 10. Sort -4, 4, h in decreasing order.\nAnswer: 4, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 4. Suppose -2*i - b = -11. Let n**2 + 3*n - 1 - n**i - 2*n**3 + n**4 + 2*n**4 - 3*n**2 = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 7*v**4\/12 + 39*v**3\/2 + 2278*v**2. Let g(y) = -5*y - 39. Calculate -3*a(j) - 8*g(j).\nAnswer: -2*j - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -640, -5095, -17204, -40795, -79696, -137735?\n\"Answer: -638*q**3 + q**2 + 8*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144*k**2*n**2*x**3 + k**2*n**2 - 2*k*n**2*x**3 - k*n - 2*n**2*x**3 - 17*n**2 wrt k?\nAnswer: -288*n**2*x**3 + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -10.5. What is the closest to -2\/3 in m, 1, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1197 times 4\nAnswer: -4788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f**3 + f**2 + f - 1. Let a(y) = 105*y**3 - 4*y**2 + 25*y + 3. Give a(z) + 4*g(z).\nAnswer: 77*z**3 + 29*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205\/(-287) + (-73)\/(-14) - ((-742)\/(-12))\/7.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-8 + 1 + 13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/4 and -11\/92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 + -187. Let z be 1278\/o - 3\/((-3)\/2). Suppose -272 = -h - 3*h - 4*v, -4*h + 3*v + 300 = 0. Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 12:50 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-714)\/(-21) - (-1 - -14). Sort q, -5, 5.\nAnswer: -5, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 6962*z**4 - 8378*z**3 + 1488*z**2 - 72*z = 0.\nAnswer: 0, 6\/59, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4\/15, -56 in ascending order.\nAnswer: -56, 4\/15, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19800 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5842*x - 182. What is the units digit of y(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40413 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2aa821 (base 11) to base 9\nAnswer: 815258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 2)*(-2)\/(-1). Suppose 0*b + p*b - 2*c = 190, -c = -5*b + 467. Let s = b - 56. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-1))\/(3 + -5). Suppose 4*y = -5*u - q, -4*u + 4*y - 9 = u. Let f = 2 + u. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + i**2 - 1 + (-2*i + 4*i - 4*i)*(-2 + 2 + 2*i) + 0*i**2 - 2*i**2 + 4*i**2)*(i**2 + 0*i**2 + 2*i**2 + (i + 0*i + i)*(3 + 2*i - 3)).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 96408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 11:23 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09508 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45781?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g = -375*g + 161*g - 133*g + 22032 for g.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -36*s**2 - 2*s - 3. Let a(p) = -35*p**2 - 3*p - 4. Let l(c) = -3*a(c) + 2*w(c). Calculate the remainder when 118 is divided by l(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 230 = -59*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1058, 2574, 5384, 10136, 17478, 28058, 42524, 61524?\n\"Answer: 108*s**3 - s**2 + 763*s + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 36.80082 centimeters?\nAnswer: 0.0003680082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*h = 3*w - 193, -4*h + 5*w + 704 = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.4 + 3. Let b = -0.2 - 0.3. Sort b, 1, y.\nAnswer: b, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1554\/(-9)*(-672)\/392 is divided by 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1\/3, -8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2736) + 1 + -1*sqrt(2736) + -2 + 2 + ((sqrt(2736) + sqrt(2736) + 1)*-4)**2.\nAnswer: 744*sqrt(19) + 175121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 100*v**2 + 20*v + 34. List the prime factors of b(-2).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaagngggagaganga. Give prob of sequence aga.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + ((sqrt(12)*1)\/sqrt(6)*-5)**2).\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 84, 162, 238, 312, 384, 454, 522?\n\"Answer: -t**2 + 81*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 234110 (base 5) to base 2\nAnswer: 10000111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l**2 + 2*l + 5. Let g(o) = 2*o**2 + o + 1. Let r(f) = -10*g(f) - 2*h(f). What is j in r(j) = 0?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 19. Let l be u(-11). Suppose 2*n = 4*q + 5 + 1, -q = -l*n + 9. Solve -n*f + 9 = 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7123*g - 25814 + 275119 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 9. Let y be q(-6). Suppose -v = 4, -i - 2*i + 72 = y*v. Determine o, given that i*o**4 - 31*o**4 - 6*o - 9*o - 6*o - 15*o**3 - 6 - 27*o**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/15 + (-174)\/21*(-56)\/40?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -12. Suppose 16 = f*w - w. Let c = -2 - -3. Put 5, w, c in decreasing order.\nAnswer: 5, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4664 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*k - 12 = -39, 0 = 3*k + 9. Let o(a) = 9*a**2 - 2*a. Let i be o(2). What is the highest common factor of i and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/sqrt(5)*-3 + -6*(sqrt(40) + -1*sqrt(40)))\/(3*-3*sqrt(8)*-6).\nAnswer: -sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - i - 2)*(-2 + 4 + 0)*(4*i - 108 - 19*i + 24*i).\nAnswer: -18*i**2 + 216*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -51. Solve 0 = j + 5*w + f, -10 = 5*j - 0*w + w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - l - 25 = -10*u, u - l = 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = -3*u, -10 = -o - u. Let q = o + 7. Solve -p - 4*t = -q, 7*p - 3*t = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002859 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 502 + 165 + 168 + 169.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q + 40. Determine k(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/7)*f**(-6))\/(f*f**(-1))**(-4\/23) assuming f is positive.\nAnswer: f**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-4)\/l))**18\/(((l*l*l*l**(-20)*l)\/l)\/l**(2\/43)))**46 assuming l is positive.\nAnswer: l**(247342\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 4*u + u - 5*u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s + 0*s + 13 - 6*s - 8 + 4*s - s**2. Suppose -a - 2 = a. Let b(l) = -5*l**2 + 2*l + 1. Let m be b(a). Determine f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -57 - -7?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2336458 and 18159?\nAnswer: 7009374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233922 divided by 38987.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -567 + 569. Solve -4*b - 2*n = -3*b - y, 5*n = 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 122427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n. Let z be b(3). Let s(t) = -t - 11. Let r be s(-9). Let l be 0*r*3\/z. Does 0.1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 27*t - 7. Suppose 12 = r - u - 2*u, 0 = -5*r - 5*u. Let n be m(r). Suppose -3*s + 97 = -n. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**6\/360 + 11*x**5\/120 + x**4\/2 - 17*x**3 + 4*x**2. Let i(n) be the first derivative of d(n). What is r in i(r) = 0?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b58 - -50?\nAnswer: 2ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -160 less than -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-4*s**5 + 8*s**5 + 3*s**5 + (-4 + s + 4)*(4*s**4 - 3*s**4 - 2*s**4)) + (3*s**5 - 5*s**5 - s**5)*(0 + 1 + 1).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-126)\/72 - 10\/8\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*6 - 2)*((-312)\/(-156))\/(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23.76 and -11072101.5055.\nAnswer: -11072125.2655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 20*x + 19. Let n be y(20). Suppose -7 = 4*p - n. Suppose 4*i = -p*i. Solve 2*v + 2*j = -2*j - 6, i = 4*v - 3*j + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 260?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (874\/(-76))\/((-26)\/(-52)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -996872 = 3*i + 443128. What is i rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/42 and 7\/386934.\nAnswer: 2708538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*s - 3*y, 0 = -6*y + 114 - 90 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -608719 and -5.8.\nAnswer: 3530570.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*t - 94 = -4, -2*t + 90 = 5*h. Suppose 0 = h*l - 14*l - 8. Suppose -110 = -5*j + 5*p, -3*j - p + l*p = -76. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27222920 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + (1 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/15)\/(6\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*a - 28 = 2*a, -a = -3. Calculate the remainder when 148 is divided by (-2)\/4*(-6 - 21 - v).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 0 - 0 - -2. Let o(z) = z - 6. Let h be o(y). Let b be 3\/(-4 + h)*0. Solve -3*n - n + 12 = b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0, 2, -1\/14, -2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 67?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 132\/18) + 8\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) -5 (c) 2\/5 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*d + 3*d + 13 = 0, 2*r - 4*d = 8. Let j(l) = -2 + r + l. Let a(v) = v**2 + 4*v. Let n(b) = b**2 + 5*b. Let w(k) = 5*a(k) - 4*n(k). Give w(j(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535 (base 6) to base 9.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -324, -5, -11, 1, -6, 96, -3 in ascending order.\nAnswer: -324, -11, -6, -5, -3, 1, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2662436 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/4*(-8)\/14 and 768\/(-162) - (-10 + 7 + 1)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4 + 348*i**3 - 236*i**2 - 49308*i + 49192 = 0 for i.\nAnswer: -86, -13, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106560 and 4?\nAnswer: 106560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 - (-10 + -57 + 57) - -66.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -5738 in descending order.\nAnswer: 4, -3, -5738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 2, r: 10, k: 1, o: 3}. What is prob of picking 1 k, 1 o, and 1 u?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/102 and -73\/42.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.02, 1, 9.\nAnswer: -8, -0.02, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-3 - -2))*6. Let y = d + 5. Which is bigger: y or -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1710\/(-4)*(-224)\/35. Let x = m - 1256. What is the least common multiple of 14 and x?\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s**3 + 0*s**3 + 3*s**3 + 3*s - 3*s + 3*s**3 + (4*s**2 + 3*s**2 - 2*s**2)*(-s + 2 - 2).\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -15*x. Let k(i) be the third derivative of i**4\/24 - 15*i**2. What is t(k(y))?\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n - 52. Give f(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 75064 to the nearest 1000.\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 5. Let t be q(5). Suppose 3*x = -t*x. Is -1 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 - 41. Let y = -4333\/2 + 2209. What is the common denominator of y and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225589?\nAnswer: 7, 13, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2154 + 2316. Calculate the greatest common factor of 96 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*j + 94 = -7*b, 3*b - 2*j + 56 = 0. Let s be (2\/(-16))\/(5\/b)*-6. Put 6, s, 9, -5 in descending order.\nAnswer: 9, 6, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182595 - 182595.699995. Let o = -0.7 - j. What is o rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27682 - -44.3.\nAnswer: 27726.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 375 + 44. Let d = f + -107. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -259 + 115. Let p = u + 430. Calculate the remainder when p is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22289908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -15*o**5 + 4330*o**4\/3 + 12055*o**3 + 8170*o**2 - 7280*o\/3 = 0.\nAnswer: -7, -1, 0, 2\/9, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -46, -15, 6, 11, -6, -51?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 i, and 1 q when three letters picked without replacement from {g: 4, c: 1, k: 4, q: 3, v: 2, i: 1}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/3, -3\/4, -1\/2, -0.4, 8857?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -44.4407536 and -46.8?\nAnswer: 2.3592464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 77\/35)\/((-2)\/(-70))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*o - 650 - 538, -3*o = u - 1197. Let b(t) = 20*t**2 - 1642*t - 1642. Calculate the remainder when o is divided by b(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155260 - -24841487\/160. Let r = 177123\/51536 + 2\/3221. What is the common denominator of r and s?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -5*w + 8. Let s be 6\/w - 54\/15. Are s and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*-3*5)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011212000100 (base 3) to base 11.\nAnswer: 1287969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = 13. Let i(q) = 0 - q - 6*q**3 + 7*q**3 - 3*q**2 + 3. Let u be i(3). Solve -3*y - 4*f + 10 = u, -2*f - 2*f + a = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*w + 10, 5*w - 2 + 12 = 0. Find a such that 0*a + 2\/7*a**2 + n + 2\/7*a**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2*u + 7)*(-8 + 36 + 93).\nAnswer: -242*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 524\/2751*21\/(-18)*-3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 4*v. Let t be (v\/3)\/((-22)\/(-99)). Suppose z + 4*h = -17, -t*z = -4*z + 5*h + 28. Sort -0.1, 5, z in increasing order.\nAnswer: -0.1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -40\/3 (b) 5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31252*i**4 + 7*i**2 + 1090*i wrt i?\nAnswer: -750048*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - w - 4*w + 2346, 4*v + 2*w = 3142. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1\/((t*(t*t**(-1\/6))\/t)\/t*t))\/((t*t*t**4*t*t)\/t**(-1\/3)))\/(t**(3\/10)\/t*t*(t*t\/t**(2\/9))\/t*(t\/t**(-3\/7))\/(t\/t**(-5))) assuming t is positive.\nAnswer: t**(-1472\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -86872944, -86872966, -86873002, -86873052, -86873116, -86873194?\n\"Answer: -7*p**2 - p - 86872936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 + 0.09. What is the third biggest value in -1\/4, i, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 251*g**2 + 1216*g - 2438. What is r(2)?\nAnswer: 998","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 346079628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110966171?\nAnswer: 110966171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -25\nAnswer: 2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 22*o**2 + 11*o + 7. Is h(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15063356369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1450600 and 100.\nAnswer: 1450600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssuusuuisjujujuusu. Give prob of picking 1 i and 3 s.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - -99. List the prime factors of i.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 4203?\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 262 and 9825?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1440 (base 10) to base 7.\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -2\/5, 0.27, -6\/55, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 621 minutes after 2:19 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 185938 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssnsnsss.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:46 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 101*c**5\/5 + c**2 + 37*c + 155. Find the second derivative of o(r) wrt r.\nAnswer: 1212*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 153239 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 23, 56, -0.1 in descending order.\nAnswer: 56, 23, 2\/17, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 3289287602.\nAnswer: 3289287607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.342 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91772800 rounded to the nearest one million?\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 331328034667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 49690 + 52189 = 15543. Which is greater: 4543 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.168 - -0.068. What is the biggest value in i, 2\/7, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195848 is divided by 97922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*t - 8. Is 10 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88166?\nAnswer: 2, 13, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 497435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22883 is divided by 11435?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 3, s: 6, e: 1, t: 2, v: 1}. Give prob of picking 2 t, 1 v, and 1 e.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**4 + 4*o**3 - 4*o**3)*(-1 + 0 + 0)*(5 + 3*o - 5 + (-2 - 2 + 0)*(3*o + 2*o - 4*o) + 3*o + o + o).\nAnswer: 20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*n**3*y - 1792*n**3 - 24*n**2*y + 2314*n*y + 2*n wrt n.\nAnswer: 234*y - 10752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j = 5*l - 116, 4*l + 16 = 0. Suppose 7 = c + t + 4*t, -3*c = 2*t - j. Let m(f) = -f**3 + 12*f**2 + 2*f + 2. Does 13 divide m(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*t - 0 + 4, 3*i + 2*t = 10. Suppose 0 = s - i, 4*k + 32 + 24 = 4*s. Let c = 19 + k. What is the greatest common factor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/4 + 180*o**3 - 127413*o**2\/4 - 395307*o\/2.\nAnswer: -o*(o - 363)**2*(o + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*n + 6 = 0, k - 5*n = -4*k + 10. Let g be (-52)\/24 - 2\/(-12). Let m be 2*(3\/6 - g). Sort k, m, 0 in increasing order.\nAnswer: 0, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.34739 - 0.04739. Sort -2\/7, -5, -8, d.\nAnswer: -8, -5, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - q = 17, -6*x - 4*q - 4 = -2*x. Let z = 148 + -145. Let n(u) = -10*u**z + 2*u + 1 - u - x*u**2 + 3*u**2. Calculate n(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*t*u**3 + b**2*t*u**2 + 2*b**2*u**3 - 13*b**2*u**2 - 3*b**2 + 3*b*t*u - 38*b*u**3 wrt u.\nAnswer: -6*b**2*t + 12*b**2 - 228*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 745 = -3*a - 5*m, -4*a + 3*a - 259 = -m. Is a smaller than -256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 3:27 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Suppose 3*f = -5*y + b, -4*f - 3 = y - 7. Differentiate -3*c - 4*c**2 + c**2 + 3*c + f with respect to c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + 1022675613 - 1022675613 + 4*b - 4*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-4\/3)*i*i)\/i)\/i)**(-16) assuming i is positive.\nAnswer: i**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29003715.1001343 + -29003687. Let d = v - 28.1. Round d to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from xkqakmj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21568*j**3*s**3*y - 16*j**2*s - 2*j*s**3*y + 125*j*s**2*y wrt j.\nAnswer: -129408*s**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 9:19 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 5*l**2 - 7*l - 8. Let j be ((-12)\/9)\/((-4)\/(-18)). Let i be x(j). Let a be (i + 0)*(-3)\/(-27). Sort -0.5, a, 2 in descending order.\nAnswer: 2, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 297*s + 2*s**2 + 2*s**4 - 298*s + 0*s**3 - 4*s**3 + 2 to the form y*s + d*s**3 + v*s**2 + w + a*s**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -878*u - 86920. Determine b(-99).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64826 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -77*i + 102. Let y(k) = -153*k + 253. What is -15*s(a) + 6*y(a)?\nAnswer: 237*a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13*c**3 - 7*c**2 + 9*c + 6. Let a(u) = 9*u**3 + 5*u**2 - 6*u - 4. Give 7*a(s) + 5*g(s).\nAnswer: -2*s**3 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 536*i**3 + i**2 + i. Let x(a) = -a**2 - 3*a - 1. Let d be x(-3). Let y be m(d). Is (y\/(-20))\/(4\/10) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 404269.\nAnswer: -242561.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqyqqqytq. Give prob of picking 1 t, 1 q, and 1 y.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*q**4 - 3197543*q**3 + 13549440*q**2 wrt q.\nAnswer: -96*q - 19185258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 0*f - 166458*f**2 - 2*f**3 - 1 + 166468*f**2 as m + s*f + v*f**2 + g*f**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, a: 3, v: 1, i: 3, m: 2, b: 4}. Give prob of sequence mv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 3 + 2*y + 28)*(30 + 16 - 26 - 3 - 3 + 5 + (-1 - 1 + 1)*(-3 + 2 + 2)).\nAnswer: 36*y + 756","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4007250 is divided by 1420.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4400000 = -0*s - 4*s. What is s rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34 - (4 - (21 - 48))) + 13\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 9 - 31 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 277 - 1003816029836.\nAnswer: -1003816029559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(396) + 1 - ((sqrt(11) - (sqrt(11)*-2 + -4 - sqrt(11))) + sqrt(11)))**2 + 4) + 5.\nAnswer: -24*sqrt(11) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 262839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(((-4)\/1)\/1)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/7*m**2 + 6\/7*m**5 - 8\/7*m**3 + 2\/7*m + 0 - 4\/7*m**4 = 0. Calculate m.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9250172?\nAnswer: 2, 127, 131, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269381?\nAnswer: 7, 29, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384 - 1414. Let i be (-10)\/15 - p\/6. Calculate the highest common factor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8*k - 57. Calculate x(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2447444 (base 12) in base 4?\nAnswer: -122330112310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2.13 (b) 1 (c) 27.5 (d) 4 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-186 - -22)\/(-1*2\/(-8)). Let y = 44 - a. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 2*o**2 + o - 3. Suppose 3*g + 14 + 10 = 0. Let t = 5 + g. Give c(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -14\/251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73 times 0.073?\nAnswer: 0.05329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2\/3, 24, -0.08, 2.\nAnswer: -2\/3, -1\/4, -0.08, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*t - 31631, -36*k + 40*k + 5*t = 25285. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-337)\/(-6) + 3\/(-18). What is the first derivative of 122*n - y*n - 43*n - 16 wrt n?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39758, -39756, -39754?\nAnswer: -39752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + -3 + sqrt(108) + 2 + -5)**2.\nAnswer: -48*sqrt(3) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z. Let q(u) be the first derivative of 3*u**2\/2 + 28. What is q(f(t))?\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 5*t**2 - 8*t - 11. Let m be x(-6). What is the second biggest value in 1\/4, 2, m, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 + 2. Let z = -1475.44 + 1474.44. Which is the closest to z? (a) p (b) -0.24 (c) 1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276773109 is divided by 154?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:37 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4579*a - 16. Let u(f) = -1513*f + 5. Determine -6*c(g) - 19*u(g).\nAnswer: 1273*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9172267*r**2 - 9810114*r wrt r?\nAnswer: -18344534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*x = -14, -21 = -5*u + 2*u + x. Solve -3*l - 6 = 4*m, u = -3*m + 4*l - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*g + 4, -6 = g - 3*g. Let d(q) = -7 - w*q - 4 + 6*q. Let o be d(14). Solve -r - 15 = -2*a - 6*r, -o*a + 5*r - 15 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 4, 9, -2, 21, -0.7 in descending order.\nAnswer: 25, 21, 9, 4, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12896 and 62836384?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -25.09. Which is the third biggest value? (a) -3 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u - 9. Determine x(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8397, 16515, 24633?\n\"Answer: 8118*m + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6041*x + 3073*x + 3054*x)*(-2*x**2 + 5*x - 11*x + 3*x).\nAnswer: -172*x**3 - 258*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -7*t. Let l = t + -3. What are the prime factors of (-1 + 3 + l)\/((-1)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(-5*s + 5*s - s) + (2 - 4 + 3)*(-9*s + 14*s - 9*s + (-1 - 2 + 2)*(3*s + 3 - 3)))*(s - 4*s + 8 - 11).\nAnswer: 18*s**2 + 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 2*a + 4, 2*q + 4 = 47*a - 42*a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 190*s**2.\nAnswer: 5*s**2*(s - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 245799 equal to 245799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1111*h + 49*h + 165*h to y*h + f and give y.\nAnswer: 1325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.12, -2, -1499 in ascending order.\nAnswer: -1499, -2, 0.12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402064.4ms in minutes?\nAnswer: 23.36774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -103 and 8433.\nAnswer: -868599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 + 0*k**3 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*j - 281 + 45 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 15710914 and -0.8.\nAnswer: 15710913.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -14*s**2 - 3*s + 8. Let m(l) = -28*l**2 - 7*l + 16. Let q(i) = 7*a(i) - 4*m(i). Let k be q(1). Factor -24*p**4 + 42*p**4 - k*p**4 + 5*p**5.\nAnswer: 5*p**4*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6464*w - 1757. Is h(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202202011 (base 3) in base 11?\nAnswer: -103aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + (-1 - -5) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6)*(14 + (-1568)\/140))\/(-4).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + -5 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z - 4 + 4)*(-z**3 + 0*z**2 + 0*z**2) - 271*z**3 + 271*z**3 - 9*z**4 - z in the form c*z**4 + q*z**3 + i + m*z + n*z**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 6*q**2 + 5*q - 15. Let j(z) = -z**3 + 3. Calculate -3*j(m) + v(m).\nAnswer: m**3 - 6*m**2 + 5*m - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 167c249 (base 13) to base 14\nAnswer: d7773b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*h - 64 + 14, -33 = -4*h - r. Let u = 10 - h. What is the closest to -2\/5 in 2, u, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 16. Let y = 8 + o. What is the nearest to y in -2\/3, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5932 = -3*l + 484, -2*f - 2724 = -4*l. Let v = -414 - f. What are the prime factors of v?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372091, -1488186, -3348277, -5952370, -9300471?\nAnswer: -13392586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/252)\/(120\/(-96))\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 11*c - 23. Determine p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 0.2. Let j = w + 0.1. Let v = -0.4 - 0.6. Put j, -3, v in increasing order.\nAnswer: -3, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*o + 4361 = 0, -2*a + 1600 = 4*o - 1302. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508737 rounded to the nearest 10000?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 2*d + 1. Let v = 13 - 9. Suppose v*g + 0*g + 4 = 0. What is the units digit of p(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 5*j + 5. Let a = -2 - 2. List the prime factors of q(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 36*f + 1982. Let t be p(-55). Solve -w = t*d + 3, 3 = -4*d + 2*w + 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*w + 7. Let x be 9*(w - 2\/6). Is (-3)\/2*(-1928)\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h - 1. Let s be (-2 - 12\/(-3)) + 0 + 2. Determine w(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*5\/(-70)*2)\/((1664\/(-560))\/(-26))\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49627\/34008 - -4\/4251. Calculate the common denominator of -151\/156 and q.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1554 - 1554 + 188*h)*(-32 + 19 - 57)*(-3 + 3 - 2) as a*h + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*u**2 - 3*u - 141*u**2 + 75*u**2 + 3*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 406\/(0 + 6\/(-14)). Let o = y + 958. Let g = o - 346\/33. Does 1 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 300*y = -299*y + 13, o - 3*y = 4*o + 30 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*i**3 + i**4 + 59*i + 6*i**3 - 86*i - 5*i**3 + 3*i**2 wrt i.\nAnswer: 24*i + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2. Let h(v) be the first derivative of 293*v**2 + 5425. Calculate h(i(n)).\nAnswer: -586*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**4\/4 + h**3\/3 - 2*h - 6. Let q(n) = 12*n**3 - 2*n + 1. Let r be q(1). Suppose t - r*t = 0. What is b(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323*v + 316*v + 14791 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*l + 90, 5*t + l + 0*l - 108 = 0. Let s be 6\/(-4)*56\/t. Let m be -1 + -1 - (-6)\/(-4). Is m equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5929)\/(-22))\/(1\/(-5)). Let c = -2252014\/1695 - -163\/565. Let g = m - c. Find the common denominator of g and 19\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 11:55 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181 - 179. Suppose -53 + 63 = g*z. Solve z*a = 2*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(144))\/sqrt(9))\/(1*sqrt(8)*5) + (sqrt(128)\/sqrt(4)*-6)**2 + -4 + sqrt(128).\nAnswer: 38*sqrt(2)\/5 + 1148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 3 (b) 0.1 (c) -1\/4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*k - 15, -3*q = -0*k + 5*k + 1. Solve 8*t = -q - 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.59 less than -1\/5033075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 1 = -10*j. Let q(u) be the second derivative of j + 0*u**2 - 3*u + 0*u**3 + 1\/12*u**4. Let c(x) = 3*x. Give c(q(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 13 = 15*y. Let r be ((-1)\/10 + y\/2)*-5. What are the prime factors of (8\/(-6))\/(6\/(-303 - r))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 64368596 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1014)\/52*44\/(-330).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53, 209, 475, 857, 1361, 1993, 2759?\n\"Answer: k**3 + 49*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 49*a = 2008, -3*q + 3*a = -12967 + 13093 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4 = 0, 4*l + 116 = -4*f + 640. Suppose 4*g = 5*q - f, g + 0*q = -q - 24. Let y = 32 + g. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**2 - 14*c - 5. Let w(q) = q**2 + q. Let l(d) = k(d) + 4*w(d). Let j be l(-4). Suppose 2*n = -3 + j. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 11*o + 23 - 19 + o**2 + 25*o to the form m + u*o + x*o**2 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41434697.\nAnswer: 59, 702283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 25*t**3 + 2*t**2 + 3*t + 1. Let q be i(-1). Let o = -49 - q. Let x = o + 28. Solve -c = -2*k + 6 - 0, -x*c + 2*k = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 l when three letters picked without replacement from ililtjaiaaivvvi?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98114, -196233, -294352, -392471, -490590, -588709?\nAnswer: -686828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 8:23 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 15*v = -17*v + 10, 20 = 4*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 6*c**2 - 12 - 6*c**2 + 0*c + 0*c + c**2 + (-4*c**2 - 3*c**2 + 5*c**2)*(-2 + 1 + 3) + (c**2 + 1 - 1)*(-4 + 6 - 1).\nAnswer: -4*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5, -4, 0 in decreasing order.\nAnswer: 0, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-4 + 6)*-219. Let j = -127 + 1978. Let a = j + s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(272) - (-5 + sqrt(272) + 3))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 465665.4261.\nAnswer: 465665.3261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 590, 1078, 1566, 2054, 2542, 3030?\nAnswer: 3518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 6, -16, -58, -126, -226, -364?\n\"Answer: -f**3 - f**2 + 2*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1869634512?\nAnswer: 2, 3, 139, 93407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23794249*b**4 + 2*b**2 - 5099757 wrt b.\nAnswer: -571061976*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -123, -301, -589, -981, -1471, -2053, -2721?\n\"Answer: z**3 - 61*z**2 - 2*z - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/7 + 426*i**3\/7 - 13954*i**2\/7 - 1015242*i\/7 + 1028772\/7 = 0. Calculate i.\nAnswer: -34, 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 - -13. Suppose 23 - 175 = -2*r. Let j = l + r. Solve b = j - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*b - 2*b**5 - 2*b**5 - 26*b wrt b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from egeeeg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 384369794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**5\/30 + 7*s**4\/6 + s**3 + 2*s**2 - 45. List the prime factors of x(-19).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002240384 rounded to 4 decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30629, 61451, 92389, 123449, 154637, 185959, 217421, 249029?\n\"Answer: w**3 + 52*w**2 + 30659*w - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3851 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31099547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -307, 3 in increasing order.\nAnswer: -307, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -2, 0.15, 46?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q - 9. Calculate m(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3894 is divided by 777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13760, -27734, -41708, -55682, -69656, -83630?\nAnswer: -97604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**2 - 7*b + 1. Let x(w) = w**2 + 1. Determine d(u) + 2*x(u).\nAnswer: -2*u**2 - 7*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, 0.155, -0.1, -5\/24 in increasing order.\nAnswer: -1, -5\/24, -0.1, 0.1, 0.155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*v = -7 - 13, -2*l = -2*v - 16. Solve 3*s - l*b = -10, 0 = -2*s - 0*b - 3*b + 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, 42.\nAnswer: -1, 10, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -j - 2. Sort -3, j, -1 in descending order.\nAnswer: -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4494080*a**3*n - 2*a**3 + 188*a**2*n + 1462*a**2 - 335*n wrt a?\nAnswer: -26964480*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 793\/16060 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 23416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - 20 - (-3 - (0 - 1))) + -155 + 144.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 - 76*p**3 + 63*p**3.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1740, -3532, -5376, -7272?\nAnswer: -9220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 5, -382, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 1098 - 23*p + 1098.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 1 + 4 - 2*b**2)*(-1692 + 1692 + 107*b**2 + (-8*b + b - 13*b)*(-3*b + b + 0*b)*(-1 + 0 + 0)).\nAnswer: -134*b**4 + 201*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100010101 - 10?\nAnswer: -101100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/1704 and -19\/21868?\nAnswer: 131208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1783759846?\nAnswer: 2, 11, 81079993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + h - 7. Let f be k(3). Let o = f - -6. Solve 0 = 4*x + 5 + o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 5*g + 13*r + r, 0*g + 5*g - 4*r + 20 = 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118962 is divided by 196.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -6 - (3 + -1 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q - 2*q)*(6 - 5 + 6)*(-2 + 8 + 2*q - 8).\nAnswer: -14*q**2 + 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*w + 31 = 0, 0 = -5*j + w - 70 + 277. Find the second derivative of 2*v + j - v**2 - 3*v**2 - 4*v**2 - 17 wrt v.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 10*x + 17. Let i(u) = 2*u**2 + 5*u + 9. Let t(d) = 5*i(d) - 3*p(d). Suppose -3*n + 6*n = 18. Let a be t(n). Solve -15 + a = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1. Let b(c) = c - 2. Let z(x) = 2*b(x) - 4*i(x). Let f(h) = 144*h**2 + 21 + 150*h - 22 - 150*h. Calculate f(z(o)).\nAnswer: 576*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100111010011001 - -10?\nAnswer: -1110100111010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 13 = 2*u, -4 = 43*u - 44*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 94030 divided by 8\nAnswer: 47015\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {s: 2, n: 1, v: 1, r: 1, f: 2, a: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 159, 225, 291, 357, 423?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/5))\/u**(-4\/9) assuming u is positive.\nAnswer: u**(56\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 946 = 742 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 153097 = 148843. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (400\/(-120))\/((-4)\/54). Suppose -2*h + c*h = 258. Factor -3\/2*j**4 - 3*j**3 - h + 6*j + 9\/2*j**2.\nAnswer: -3*(j - 1)**2*(j + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**4 - x**3 + x**2 - 2*x + 1. Let k(j) = 2*j**4 - j**3 - 2*j**2 + 1. Let w = 129 + -130. Let h(l) = w*m(l) + k(l). Factor h(g).\nAnswer: g*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/28 - 26\/(-7). Let d(w) = 4*w - 5. What is the tens digit of d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/156*-13)\/((-6)\/1170*-2).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3682450 and 2945960?\nAnswer: 14729800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06000536 to 5 dps.\nAnswer: -0.06001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 6:59 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 936096311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) 1\/3 (c) -5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y + 6 - 4 - 4 + 17*y + 12*y**3 - 9*y**2 - 17*y**3 as f + o*y**2 + p*y**3 + q*y and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -9.8, -0.05, 0.4, -2\/3, -22?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 621782287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132089060 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 5*p - 42, 25 = 3*p + 14*w - 13*w for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hchhhchh. Give prob of picking 2 h and 1 c.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182*n + 287*n + 90*n + 38*n to the form j + q*n and give q.\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 990*v**2 - 5135*v + 206844. What is m(985)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - g - 4 = 0, -69*g = 5*p - 71*g - 26 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-56)*14 + -718. Let l = -538 - s. Put -3, l, -4 in ascending order.\nAnswer: -4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 659*v - 38*v**2 + 1 - 50*v**2 - 663*v to s*v + g + r*v**2 + d*v**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1315 + -1279. What is the least common multiple of 64 and f?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288 + -37.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12111211012 (base 3) in base 5?\nAnswer: 11432431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 5*n. Suppose n = 5*t - 4*t - 49. Suppose 4*j + 119 = 5*a - t, -38 = -a + 3*j. Calculate the remainder when a is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/20 + (-268)\/(-10). Let l = 30 - k. Suppose 12 = -l*d + 24. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkk when three letters picked without replacement from kkzkkkkzkkzk?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 2\/(1\/(-1)). Suppose 0 = 2*u - c - 1. Let b be (-10)\/((-4)\/u + 2). Solve j = b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.439573nm in micrometers?\nAnswer: 0.003439573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20353?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 8:32 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 5:41 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.2 (c) -2 (d) 16 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -2)\/((-1)\/7). Suppose -2*t = -3*u - 9, 3*t + 2*u = -a + 14. Solve y - 7*b = -2*b + 21, -2*y - t = -b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112000020201001 (base 3) to base 8.\nAnswer: 34315106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**3 - 5*z**2 - 9. Let d be y(-7). Suppose 3*g - d = 1852. Let w = g - -649. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/97 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 16 + 0*u + 8*u - 20 + 4*u**2 - u - u**3. What is f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 24*s**2 + 11*s + 39. What is x(23)?\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**5\/20 - o**4\/12 - 2*o. Let p be ((-1)\/7 - 1) + (-14)\/(-98). Let z(g) = -5*g**3 - g**2 - 2*g. Determine p*z(y) + 3*n(y).\nAnswer: 2*y**3 - 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -1 - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -54. Let c = 52 + x. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-36)*((-443475)\/292)\/135?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6790021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*t - 5 + 10 = 0, 0 = -3*h + 4*t + 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1585 + 3170 - 1600 - 9*b + 14*b.\nAnswer: 5*b - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 25*t = d + 39 + 66, 5*d = 2*t - 7*t - 50 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 4*u - 2*u)*(5*u - 4*u - 3*u - 14).\nAnswer: 2*u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (300*x + 1 - 34 + 34)*(2 - 2 + 2).\nAnswer: 600*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*n + 302, -4*h + 2*n = 992 + 246. Let d be 10*(h\/495 - (-4)\/18). Which is the closest to 19? (a) -0.2 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 287518703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 42 = 0, -6*x + 31 - 74 = -n - 67 - 56 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -0.5, 1, 11 in ascending order.\nAnswer: -3, -0.5, 1, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11100011100011001111100 (base 2) to base 5\nAnswer: -3402101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -981*z + 30878 = 7334 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3)*-1*8\/(-152).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**5\/20 + c**4\/4 - c**2\/2 + 5*c. Let d = -17 + 15. What are the prime factors of l(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/2 + 9)\/(-1). Let r(y) = -30*y + 9. Is r(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 + 44 = 0. Suppose y = -5*g + 8*g. What are the prime factors of (-2 + 42)\/(3\/g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -2 + -510 + -4. Let v be (-930)\/(-2 + 25\/20). Let b = i + v. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 281*x - 281*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -313\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**2 + 0 + 1\/24*j**4 + 17\/6*j**3 + 0*j. Let a be g(-13). Calculate the greatest common divisor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12671292.\nAnswer: 2, 3, 167, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -26. Let m be (-20)\/6*l\/(-10). Let x = 55216 + -55215. Which is the smallest value? (a) 3 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 2 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 307, 681, 1201?\nAnswer: 1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.93 - 8.9. Let v = 2.6 + -2.4. Let w = 8 + -7. What is the third smallest value in w, r, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11431\/4 + ((-2)\/(-3))\/(328\/123) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, c: 3}. Give prob of sequence cc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -106*w**3 + 10*w**2 + 5*w - 35. Let k be c(-5). What is k rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -44\/163, -0.82, -1, -2, 1\/41?\nAnswer: -44\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -319.98 - -4.98. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 155*u**2 + 45*u - 45. Let l(o) = -7*o**2 - 2*o + 2. Calculate -45*l(c) - 2*x(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 w, 1 z, and 1 y when four letters picked without replacement from wfffwyfdz?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 - 17 + 10*o**2 - 27 + 5*o**2 - 3*o**3 + 46 in the form h*o**3 + n*o**4 + d + w*o + a*o**2 and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-19 - (10 + -11 - 9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4\/4 - 2*k**3 - 7*k**2\/2 + 6*k - 2. What is l(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 991*y = 993*y - 2, 4*t + 9 - 21 = 8*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4160 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*d + 12 = 0, -4*d + 0*d = 5*u - 16. Suppose u = 2*q + 3*q + 10. Let n be 32\/q*3\/(-4). Solve f + 2*f = -n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1169.1 + 1107. Let n = 8.1 + v. Let c = 54.00000188 + n. Round c to seven dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 3*y**2 + 4*y - 3. Let p be d(3). Find the third derivative of -2*u**2 + 5*u**2 - p*u**2 - 5*u**5 wrt u.\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -62888*k - 18489074. What is x(-294)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**4\/4 - 107*y**3\/6 + 13*y**2 + 111*y - 6. Determine x(-36).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -3, 3, -5, 6\/89 in ascending order.\nAnswer: -5, -3, -4\/5, 6\/89, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h**2 + 8 - 11 + 4 in the form r + i*h**2 + f*h and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -950.81 + 943. Let l = p + 6.857. What is l rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Let o(l) = 2*l - 13. Let s(j) = j - 12. Let i(c) = w*o(c) - 3*s(c). Suppose 0 = -8*g + 6*g - 12. Give i(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389341233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)*(o**12\/o*o)\/o)**(-2\/33) assuming o is positive.\nAnswer: o**(-23\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 0.7. Let u = -0.998 + o. Let w = u + -0.001971. Round w to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 22*a - 20. Let p be h(21). Let u(s) = 264*s**3 - 2*s**2 - 15*s + 16. What is the remainder when u(p) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/759 and -17\/1038?\nAnswer: 262614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49939\/7 + -7134. Let d = 0.05 + -0.45. Sort d, l, -1\/2, 30 in decreasing order.\nAnswer: 30, l, d, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.483 - 21.093. Let w = -6.99 - f. Round w to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t. Let g be b(1). Suppose 0*n + 2*n + g = -w, 2*n = -2*w. Suppose -w*q + 21 + 69 = 0. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j - 14. Let h(w) = -2*w + 2. Let p(f) = 4*h(f) + l(f). Suppose -4*u + 0*u + 12 = 0, -5*s = 4*u - 17. Let r be (-1 + s - -1)*-4. Determine p(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*i + 0)*(-4 - i + 4) + 8*i**2 + 0*i**2 + 2*i**2 + (-33*i + 33*i - 10*i**2)*(1 + 1 + 0) to the form u + q*i**2 + t*i and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 59*u**3\/3 - 11*u**2\/2 - 14*u + 9. Differentiate b(f) with respect to f.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/5 + 3528*o\/5 + 131176\/5 = 0 for o.\nAnswer: -1726, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*j + 238*j = -1124. Suppose -p = -3*v + 815, -v - 4*p + j = v. What are the prime factors of v?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -919.03372 - -919. Let o = 0.0383 + j. Round o to four decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 28 = 0. Let i be (2 + z\/(-20))*25. Solve 3*s + 2*s = i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 6.9. Let a = 6 - r. Let h(b) = -b**2 - 12*b. Let w be h(-12). Sort w, 2, a in ascending order.\nAnswer: a, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -29*x + 10*x - 14 - x**2 + 1. Let b be l(-8). Calculate the highest common divisor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2055049, -2055050, -2055053, -2055058, -2055065, -2055074, -2055085?\n\"Answer: -f**2 + 2*f - 2055050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14 - 185*a**2 + 930*a + 2*a**5 + 757*a - 1687*a + 1572*a**3 wrt a.\nAnswer: 120*a**2 + 9432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*p**2*r**2 + 3*p**2*r + 692*p**2 - p*r**2 + 3*p + 266 wrt p.\nAnswer: 32*r**2 + 6*r + 1384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0*h**3 + 0 + 1\/2*h**4 + 8*h + 0*h**5 + 0*h**6 + 5\/42*h**7 + 0*h**2. Find the third derivative of o(t) wrt t.\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 30*u = 4250. Suppose u = 3*h - h + 3*z, -2*h + z + 445 = 0. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 71. Let v be ((-3)\/(s\/(-12)))\/(1\/(-9)). Let m = 4 - v. Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 3*l - 3*l)*(-2 + 2 - 1 + 1 - 3 + 3 + (2 + 0 - 1)*(0 + 1 + 1) + 2 - 1 + 1 + 1 + 1 - 5 - 3 - 2 + 3)*(2 - 3 + 9).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l - 30. Let g(h) = -1. Let n(r) = -6*g(r) - k(r). Let t be n(9). What are the prime factors of 63 + 0\/(t - -4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.8, -4\/23, -4 in descending order.\nAnswer: 2.8, -4\/23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3132, -0.03, -266, -0.2 in decreasing order.\nAnswer: -0.03, -0.2, -266, -3132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102212 - 120110221020?\nAnswer: -120111101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -a + 17, 36*z + 5*a - 15 = 41*z. Suppose n - 4 = 5*p, 4*n = -0*n - p - 5. Put 18, n, z in descending order.\nAnswer: 18, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*q**2 - 387*q**4 + 617*q**4 - 303*q**4 + (2*q - 2*q**2 - 2*q)*(0*q**2 + q**2 - 3*q**2).\nAnswer: -69*q**4 + 17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-8)*i)\/i**(-10) assuming i is positive.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -24, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**3\/6 + 87*l - 61. Let m(u) be the first derivative of p(u). Let f(x) = -14*x + 6. Determine m(f(z)).\nAnswer: 14*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1903 + 1993. Calculate the lowest common multiple of 81 and a.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -3, -1988 in descending order.\nAnswer: 3, -1, -3, -1988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.82 - -25.38. Let d = 11 - -15. Let f = u - d. What is f rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -5.1?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(((-748)\/(-9328))\/(-17)). Is s smaller than 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + 6*sqrt(5)*5 + sqrt(720) + -4 + sqrt(720))*-5 + 5)*3)**2.\nAnswer: 3280500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 155*m - 6829. Give y(44).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2650269.345377 + -2650271. Let t = p + -0.145424. Let h = t - -1.8. Round h to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 5. Let k be l(-14). Let p be ((-24)\/(-44))\/3 - k\/11. Are p and 3\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 8:44 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1*j*j)**(23\/3)\/(j\/j**(-6\/7)*j*j**(1\/3)\/j)*(j**(2\/5)*j)**13*(j\/((j\/(((j\/(j\/j**(1\/3)))\/j)\/j))\/j))**46 assuming j is positive.\nAnswer: j**(1681\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egsxgsex. What is prob of picking 1 s, 1 e, and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 524796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 58*p**2 + 1. What is the remainder when 176 is divided by r(1)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 54475450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 19*a**2 - 8*a**2 - a**2 - 11*a**2. Let z(n) = 5*n - 72. What is p(z(s))?\nAnswer: -25*s**2 + 720*s - 5184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 - 2*s + 1. Let j be r(1). Suppose 0 = -3*z - 2*z + 4*l + 797, 5*z - 800 = j*l. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*l + 4 = 0, 4*l = -0*p - 4*p + 12. Let a(r) = r**2 + 8*r + 9. Let t be a(-7). Differentiate -v**t + 0*v**2 - 7 + 13*v**p wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*r - 12 = 2, -4*o + 4 = 5*r. Suppose 2*x = -4*z + 102, 5*z - 5*x - 81 = 3*z. Calculate the remainder when z is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + 132. Calculate the greatest common divisor of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/42137324 and 41\/96.\nAnswer: 1011295776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 652142?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4\/5 - 36*d**3\/5 + 92*d**2\/5 + 36*d\/5 - 88\/5 = 0. Calculate d.\nAnswer: -11, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1617 - 1615. Solve -d - 4 = 3*w - 0, 3*d + 4*w + n = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -5898?\nAnswer: -5896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(539)*-3 + -5)**2.\nAnswer: 210*sqrt(11) + 4876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 1500944*l\/5 + 21013608\/5.\nAnswer: -2*(l - 750486)*(l + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3382 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18476 (base 11) to base 9.\nAnswer: 38418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -0.3. Let q = 4.3 - 60.3. Let h = q + 54. What is the closest to -1 in h, 0.3, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2\/157 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51288, -51308, -51348, -51414, -51512?\n\"Answer: -u**3 - 4*u**2 - u - 51282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4*z - 22 = -0*z, -2*d - 4*z = -2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82105 + -41528. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -582039, -582036, -582031, -582024, -582015, -582004?\n\"Answer: k**2 - 582040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 11 + 4*y + 0*y)*(-6*y**3 + 5*y**2 + 3*y**3 - 6*y**2).\nAnswer: -6*y**4 + 31*y**3 + 11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 17 = 5*y, 5*y - 25 = 3*x - 8*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) 1 (c) 0.0558 (d) 5 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(200) + 4 + -5.\nAnswer: -3 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 467840\/(-6324) - -74 - (-30012)\/5580\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 51*r**2 - 123*r + 25. Calculate m(-19).\nAnswer: -2331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**4 + 13180*a**3 - 28298586*a**2 + 21696046120*a - 5419514291912 = 0.\nAnswer: 614, 2681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 10*q**2 + 5*q + 2. Let p be j(-5). What is the highest common divisor of 34 and p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431160.\nAnswer: 2, 5, 37, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -8. Suppose 0 = g*o + 16 + 20. Let f be 1\/(6\/(-45))*o. Round f to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57484110269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1485\/65 + 12\/78)*1. Let u be (-1 + 1 - -4) + 1. Suppose u*v - q = 57. What is the remainder when 28 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 0 + 3*x**2 - 1\/8*x**4 - 3\/80*x**5 + 0*x + 1\/2*x**3. Find h such that w(h) = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((4\/670)\/((-11752)\/14690))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -12. Let l = -9 + s. Let n be 6\/(-14)*4\/6. Which is the second biggest value? (a) n (b) l (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647.9287 years in centuries?\nAnswer: 6.479287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 49. Let a(h) = 3*h + 72. Let u(x) = 5*a(x) + 7*g(x). Calculate the remainder when u(30) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14799664?\nAnswer: 2, 11, 84089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 414400522 - 223499776. Suppose -4*s - 28900746 = -y. Round s to the nearest one million.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 256*b**3 - 736*b**2 - 95*b - 3.\nAnswer: (b - 3)*(16*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 376\/45 - 139\/18. Let f(t) be the second derivative of 0 - 20*t - q*t**6 + 0*t**3 + 0*t**4 - 8*t**2 + 0*t**5. What is the derivative of f(s) wrt s?\nAnswer: -76*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -13*c - 10 + 18*c + 5 + 12. Let w(l) = 2*l + 2. Let u(g) = 4*r(g) - 14*w(g). Let j(o) = 11*o. Determine u(j(v)).\nAnswer: -88*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1991 or 13932\/7?\nAnswer: 13932\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 339650006 = -i, -2*i + 83267426 + 596032571 = j. What is i rounded to the nearest 1000000?\nAnswer: 340000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54690 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: In base 16, what is 5 + c294?\nAnswer: c299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -4 + 7 + (4 - 15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b**2 + 35*b + 105. Give o(-3).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 503, -0.14, 0.03021?\nAnswer: 0.03021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1*w*w*w*w**(-2))\/(w**(-1\/11)\/(w\/(w\/(w**(7\/3)\/w)))))**(-5) assuming w is positive.\nAnswer: w**(-730\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3117 + -3115.0008. Let u = -2 + h. Round u to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1256\/5 or 0?\nAnswer: 1256\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2 - 10 = -4*p, 4*p = 4*d - 44. Put -3, 5, d in decreasing order.\nAnswer: d, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 2:46 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*h - 0*l - 45, 5*h - l = 45. Suppose -5*x + v = h, 0*x + v - 3 = -2*x. Let a = 2 - x. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 68\/12*(4 + -1). Suppose -6*v = -z*v + 1485. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 485*p**3 - 1769*p**3 - p**2 + 3*p**2 to the form k + j*p**2 + h*p + z*p**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 8 - 2. Let f = -6 + 8. Factor 2*l**2 + q*l**3 - 4*l**3 - 5*l**2 + 2*l**f.\nAnswer: -l**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-427)\/24 - 9\/(-8))*((-81)\/(-5))\/9?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10626)\/(-99) + ((-4)\/3 - 0)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122142158 to the nearest integer?\nAnswer: 11052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 115102, 230403, 345704, 461005?\n\"Answer: 115301*x - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 295\/40 - -5) + (-7203)\/56 + 17?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1263 * -1820.\nAnswer: -2298660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*s**5\/7 - 1024*s**4\/7 - 1184*s**3\/7 - 464*s**2\/7 - 79*s\/7 - 5\/7 = 0. What is s?\nAnswer: -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g + 288*g**3 - 140*g**3 - 142*g**3)*(-3*g + g + 5*g).\nAnswer: 18*g**4 - 27*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/3 and -13\/264657?\nAnswer: 264657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(5\/2)*r*r*r)\/r)\/(r\/r**(-7\/4)))\/(((r*r**(-7))\/r)\/(r**(-29)*r)) assuming r is positive.\nAnswer: r**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 189765.\nAnswer: 37953","meta":{"dup_signals":{},"source":"arithmetic__mul_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 the remainder when 163 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 30. Sort 6, x, -2 in increasing order.\nAnswer: -2, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 11*k = 5*y - 1315874, 3*k - 263182 = -y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h. Let k(y) be the first derivative of -y**3\/6 - y - 1. Let b(t) be the first derivative of k(t). What is b(f(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1600881 divided by -85.\nAnswer: -1600881\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230214011433 - 2?\nAnswer: 230214011431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 2*t + 9, 0 = -5*j - 6*t + 5 - 20 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 135\/23 (b) 4 (c) -0.3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -310.842 less than 8250?\nAnswer: 8560.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31664 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/15 - 3581884*i\/5 + 4811209871046\/5.\nAnswer: 2*(i - 2686413)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h - 4. Give s(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vilnbivx. What is prob of sequence bx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 316 + 946. Let v = -23 + 775. Let o = w + v. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = c + 2*c. Let n be 9\/((-4)\/((-40)\/(-15))). What is the lowest common multiple of c and (-7)\/(7\/(-4)) + n\/(-3)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) 1 (c) 1276 (d) -0.1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, t: 2, r: 2, g: 3, s: 6}. What is prob of sequence ssag?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 632071 and 814?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2640000 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:35 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjeby. Give prob of picking 2 j, 1 y, and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from pupuuuouo?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ool when three letters picked without replacement from {d: 1, s: 1, l: 7, o: 3}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = -t + 133, 4*c + t = -547. Let q = 134 + c. Put -3, 1.1, q in decreasing order.\nAnswer: 1.1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n. Let v(f) = 7*f - 40. Let l(a) = -9*a + 41. Let g(d) = -4*l(d) - 5*v(d). Calculate g(b(w)).\nAnswer: -2*w + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 676\/(-8)*(-1 + 5). What is p rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/18 - -1) + (-3)\/18. Solve 0 = -j*w + 20 - 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n**2 - 2*n**2 + 0*n**2)*(-n + 2*n - 8*n + (3*n - n - n)*(0 + 3 - 2)).\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -447*i**5 - 373*i**2 - 7 wrt i?\nAnswer: -26820*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16090237307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 3*t)*(26 + 129 + 71)*(3 + 6*t - 3 + (2*t + 0 + 0)*(1 - 1 - 1) - t - 4*t + 4*t + (-1 + 0 - 1)*(-4*t - 22 + 22) - 1 - 2*t + 1).\nAnswer: 4068*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*b + 2*b - 10, -4*l + 5*b = 20. Let x = l + 6. Solve 5*v - x = -y, 17 = -4*y + v - 0*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28518 or -256660\/9?\nAnswer: -28518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22090 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-14))\/u)\/(u**(10\/3)\/u) assuming u is positive.\nAnswer: u**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -80? (a) 1.9 (b) -4 (c) 244 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 9*p = 152. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22b0a50a - 3?\nAnswer: 22b0a507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqgq when four letters picked without replacement from gggqqqqgggqqgqggqgq?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 254, 344, 436, 530, 626, 724?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338.3 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150410552.\nAnswer: 2, 18801319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b - 14 + 3*b + 3*b in the form z*b + u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -28054197 greater than -28054197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -6 + 15*t - 9*t**2 - 84*t**3 + 41*t**3 + 3*t**4 + 40*t**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6597301 and 22927?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 14*l**3 + 4*l**2 - 24*l + 42. Calculate s(2).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1237*k**3*l + 84*k*l + 4198*l + 12 wrt k?\nAnswer: -3711*k**2*l + 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3182189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 - -35. Let n = 100 + g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**3 + f**3 - 3*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 5*k - 5*d, -2*k - 62 = -6*d + d. Let t = k - -52. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**3 + 7*n**2 - 6*n - 1. Let c be j(1). Let d(r) be the second derivative of -1\/160*r**5 - 1\/96*r**c + 0*r**2 + 0*r**3 + 0 + r. Factor d(v).\nAnswer: -v**2*(v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12*p - 3. Let w(k) = -5*k + 1. Let t(z) = 3*m(z) + 7*w(z). Calculate t(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 13. Let f = q - -9. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11319 < -11321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*5*(-7)\/(-175)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001637 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21735180 and 248605?\nAnswer: 152146260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 + 7*p**3 + p**3 - 3*p**2 + 4*p**3 + 3*p**2 + (-p + 0 + 0)*(0*p - 2*p**2 + 0*p) + (-2*p**2 - 4*p**2 + 4*p**2)*(4*p + p - 3*p).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 308552\/28 - 54\/(-189) a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/10 + 162694\/12820. Let j = -6\/641 - t. Calculate the common denominator of -45\/7 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)\/f**(-8\/3))**(1\/2) assuming f is positive.\nAnswer: f**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**6\/3 + 2*x**5\/5 - 5*x**4\/2 - 2*x**3\/3 + 8*x**2 - 8*x - 7. Factor n(d).\nAnswer: 2*(d - 1)**3*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 11, 104, 0.3, -2\/19, -8\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297 = 35*y + 64*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, u: 8, x: 5}. Give prob of sequence ffux.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -58236, -116475, -174716, -232959, -291204, -349451?\n\"Answer: -h**2 - 58236*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.24? (a) 2 (b) 1 (c) 2\/3 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -163*a - 3521. Calculate x(-20).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-48)\/24 + ((-62)\/(-15) - 2). Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/18988580 and 123\/23140.\nAnswer: 1689983620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 13*c + 33. Suppose -4*v + 46*v = 210. What is the least common multiple of m(v) and 4?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 377289177, 377289179, 377289181, 377289183, 377289185, 377289187?\n\"Answer: 2*y + 377289175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**5\/60 + k**4\/3 - 11*k**3\/6 - 5*k**2. Is 14 a factor of b(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-6) - (101 - 7)*(-1)\/6. Let x(t) = -t**3 + 13*t**2 + 16*t - 7. What is x(h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 787, 3 in descending order.\nAnswer: 787, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -58. Let z(r) be the third derivative of 1\/20*r**5 - 1\/20*r**6 + 0*r + 0*r**3 + 0*r**4 + 5*r**2 + 1\/70*r**q + 0. Factor z(p).\nAnswer: 3*p**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/9)\/(((-2380)\/1155)\/(-68))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 702737 by -7.\nAnswer: -100391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 230592773 + -0.02.\nAnswer: 230592772.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22984 - 22984 + 90*g**3.\nAnswer: 90*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 58. Let m be (-2)\/(-7) + 540\/21. Suppose m + 9 = 5*w. Calculate the remainder when s is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v**2 + 2*v - 3. Suppose -z + 22 = 11. Suppose -6*t = -z*t + 5. What is the units digit of s(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*z**3 + 101*h**3*z**2 - 10*h**3*z - 70*h*z - z**3 wrt z.\nAnswer: 12*h**3*z + 202*h**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*s + s. Let r = -1 + s. Let j(x) = 3*x**2 + 2*x - 3. Let b be j(-3). Calculate the highest common divisor of b and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**3 - 27*z**2 + 27*z**2)*(0*z - 9*z - z)*(z - z - 3*z).\nAnswer: 210*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*y**3\/3 - 88*y**2\/3 + 200*y\/3 + 64\/3.\nAnswer: -2*(y - 2)*(y + 8)*(7*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -48 - 0. Suppose i + 3*i + u = 0. Let l(k) = -k**3 - 3*k**2 + 2*k. Calculate l(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, 205, -30 in decreasing order.\nAnswer: 205, -30, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -10252?\nAnswer: -10254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/123201 or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 19 = 3*i, -o - 38 = -2*i - 42. Which is the biggest value? (a) -0.2 (b) 3 (c) i (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from yyylylyyly?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = 4. Let g be 0\/(((-16)\/4)\/r). Suppose 10*m - 173 - 1117 = g. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1568) + 3 + -2 - 5*sqrt(1568)*2) + 4)**2.\nAnswer: -2520*sqrt(2) + 127033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 3*r**2)*(-31 - 99 + 890 + 287).\nAnswer: -3141*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6)*1 - (-2)\/6. Suppose v = k - 32 - 248. List the prime factors of k.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1397 and 3937.\nAnswer: 43307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 32 (b) -1.2 (c) 10.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 391 - 391.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (3*sqrt(3) + 0)**2) + ((3*sqrt(3) + sqrt(3) + 5)*5*6)**2.\nAnswer: 36000*sqrt(3) + 65868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 2*b - b**4 - 1 - b**4 as d*b**2 + k*b**3 + j*b + o*b**4 + u and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9973211 weeks in seconds?\nAnswer: 603179.80128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert f (base 16) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4995 a factor of 665044290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 980895?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 3*p + 78 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1325, -1418, -1669, -2156, -2957?\n\"Answer: -13*w**3 - w**2 + w - 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from {q: 1, u: 1, s: 1, n: 1, i: 1, t: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 8)*(-2*q + 0 + 0 + (-1 + 2 - 2)*(q + 1 - 1) + 2*q - 5*q + 0*q) + 515*q + 555*q + 1151 - 1151 to h + k*q and give k.\nAnswer: 1058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17121 - 17072. Is 46 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5665929.\nAnswer: 3, 109, 17327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 435160 - -2402?\nAnswer: 440562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/20 - -7\/20. What is the second smallest value in 3\/5, 1\/7, 19.9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987124?\nAnswer: 2, 246781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140665009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.977 - -0.023. Let l = 36.42 - z. Let y = l + 0.08. What is y rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 10*p**2 - 3*p + 4. Let s be j(7). Calculate the greatest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 + 201\/216)*6*2\/(-240) and 167\/1512.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 53 - 17 = 0. Calculate the highest common divisor of m and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11260 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 7. Let o be c(-7). Let m(n) = -9 + 3*n**2 + 888*n - 888*n - 2*n**2. Give m(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 6*d**2 - 4*d + 7. What is b(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, 1\/3, -1 in ascending order.\nAnswer: -91, -1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 450.3 - 582. Let v = -132 - g. Let a(b) = b - 7. Let i be a(8). What is the closest to i in -5, v, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.97 + 0.03. Which is the fourth smallest value? (a) 0.04 (b) n (c) 2 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 z when three letters picked without replacement from {g: 1, z: 2, e: 11}?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(((-15)\/1)\/225)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*a + 330 = 161*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - (-8 - -26)) + (1 - 46).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, f: 3, g: 2, l: 1, z: 4, v: 1}. Give prob of picking 2 x, 1 f, and 1 l.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbfhwtwthhjj. What is prob of picking 2 h and 1 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 126?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**2 - 509*t*x**2 + 27*t - 2733*x**2 - 12 wrt t?\nAnswer: 2*t - 509*x**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*i - 216 = 1385 + 1609 + 654 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-5)*(-7 + 2). Suppose -3*o + 15 = 2*o. Let k = o - 6. Sort k, -2, d in descending order.\nAnswer: d, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 1 + 0*c**2 + 3*c**2 + 4*c**2 - 4*c**2.\nAnswer: (c + 1)**2*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2 + 8. Let f(w) = w**2 - w + 11. Let p be f(0). Suppose 2*h = -s + p, 3*s - 27 = -4*h - 2. Solve 13 = 4*b + a*y - 11, 0 = -y + h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (866 - 881) + (1 - 0) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1409 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvkh when four letters picked without replacement from {d: 4, k: 2, h: 2, v: 4}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4559)\/9118)\/(2\/8*29)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 52984782.\nAnswer: -52984776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + y = 10, -20 = i + 2*i + 4*y. Let k(o) = -5*o - 2. Let v(n) = 4*n + 2. Give i*v(t) - 3*k(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13523.8537 rounded to the nearest 10?\nAnswer: 13520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6682531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*k, -100 = -3*u - 2*u + 5*k. Suppose 5*j - 3*t = -5, 3*t - u = -0*j - j. Suppose -a + 6 + j = 0. 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 3:21 PM and 12:37 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1464 (base 8) to base 7\nAnswer: -2251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 + -2.43. Let d = 2.3 + i. Which is the nearest to 0.1? (a) -5 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -10 - -20) + -22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1017 + -890. Suppose r = 16*f - 257. Solve -f = 7*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630040358 to the power of 1\/3, to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4370 - 6130 = -60*x. What is the highest common divisor of 75 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 0*q - 2*q + (4*q - q - 2*q)*(1 - 3 + 1) + 2*q + q - q)*(-3*q + 33*q**2 - 8*q**3 - 33*q**2) as t*q + z + j*q**4 + v*q**2 + s*q**3 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 9*y + 3. Let g be t(-4). Let l = g - -19. Find the third derivative of -21*c**5 + 2*c**2 + 22*c**5 + c**l wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -563 - 186*z**2 + 280 + 283. Let f(v) = 2*v**2. Calculate f(d(w)).\nAnswer: 69192*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (((-90)\/21 - -5) + 1 - 3). Put -1, 0.3, 2, 7\/2, c in descending order.\nAnswer: 7\/2, 2, 0.3, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 2\/11, -0.3, -0.008?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -525, -1274, -2391, -3912?\nAnswer: -5873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 3) + -1 + 8. Let a(w) = -3 - w + 10 + 5*w + p*w. Let z be a(9). What is z rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 14. Suppose -4*q + 204 = -4*v + 244, 0 = -2*v + q + 26. What is the lowest common multiple of v and c(-10)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzvn when four letters picked without replacement from vxngzazgv.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + -3*sqrt(1100) - sqrt(1100))**2.\nAnswer: -240*sqrt(11) + 17608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 18513?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*d + 684 = 635, -2*j - 2*d = 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-7 - -7) + -29 - -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.28 + -0.12. Which is the closest to -1? (a) 2\/9 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94\/30 - (4 - (-174)\/(-45))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -5.7. Let d = -0.02 + 0.12. Let k = d + f. What is the third smallest value in 0.4, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/131 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14927?\nAnswer: 11, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwinwjffjojonw. What is prob of picking 1 o and 1 w?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467996 + 1690877 = 148*p - 1372999. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 + 937227*l**2 - 937227*l**2 + 4 - 4*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/28 and 51\/3052?\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 94 = -2*n, 3 = 4*m + 112*n + 475 + 245 - 73 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u*u**6\/u)*u*u*u*u\/(u*u\/(u**(-9)*u*u))*u*(u\/((u\/(u*u\/(u*u\/u**1)*u*u))\/u*u*u*u))**2 assuming u is positive.\nAnswer: u**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2385 and -4\/9.\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + (1*sqrt(85) + sqrt(85) - sqrt(85))*6)\/((sqrt(5) + sqrt(125) + sqrt(5))*5).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45808 by -22904.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 7*b**2 - b + 5. Give o(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, r: 1, j: 2, m: 1, p: 2, w: 1}. What is prob of sequence jjpm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44655 - -44655.06. Let a = -0.02 + -0.28. Sort -4, r, a, 1 in descending order.\nAnswer: 1, r, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u*u**0))**(2\/5))**(1\/35))**14 assuming u is positive.\nAnswer: u**(4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p - 3*t = -1870 + 2097, -t + 61 = 6*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 17. What is the units digit of (2 + 100)*n\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -709617, -1419237, -2128857?\nAnswer: -2838477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90678, -90735, -90850, -91041, -91326, -91723, -92250?\nAnswer: -92925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 51 - 189 = 0. Suppose 5 = 5*s, -4*d + 2*d + 4*s = -k. Let x = 56 - d. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**2 + 5*a**2 + 16*a - 2*a**2 + 2 + 19*a - 8*a**2.\nAnswer: 7*a**2 + 35*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -3*u - 17\/12*u**4 + 0 + 0*u**3 + 17\/20*u**6 + 0*u**5 - 18*u**2. Find the second derivative of z(b) wrt b.\nAnswer: 612*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5))**(-16)\/(o**(-2))**(1\/13) assuming o is positive.\nAnswer: o**(426\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21765 and -4679.\nAnswer: 101838435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - f = 4 - 0, -4*f + 8 = -2*x. Let i(p) = -3*p + 4. Let z(o) = -13*o + 17. Let b(w) = x*z(w) - 18*i(w). Calculate b(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -352 divided by 8.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 39*i - 142740. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 3. Let y(x) = -3*x - 6. Let q be y(-4). Determine l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**3 - 5*u**2 - 3. Let b(s) = -5*s**3 - 6*s**2 - 4. Let g be (-6027)\/1722*4\/(-7)*3. Determine g*j(v) - 5*b(v).\nAnswer: -5*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = p + 10, -2*b - p + 25 = 3*b. What is the remainder when 16 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (55416\/(-15))\/(7\/(-420)). Let s = v + 128336. Round s to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -42. Let q = d + -33. Solve o + 25 = -4*o, -25 = -q*s + 2*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + 13. What is the greatest common divisor of 423 and w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -791715*b**5 + 23*b**3 + 75897479*b.\nAnswer: -15834300*b**3 + 138*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = -5*y - 256, 4*c = -4*y - 200. Let g = y + 55. Solve s**4 + 12 + 11*s**3 - 12 - 14*s**g = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63671 - 4063?\nAnswer: -67744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-43))\/((-3)\/(3\/1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532*o + 1496*o = 2892. Solve 10 - 45*t**2 - 5*t**4 + 85\/3*t**o + 35\/3*t = 0.\nAnswer: -1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 + 107*n**2 - 51*n - 109. Let y(v) = v**2 - 574*v - 4603. Let g be y(-8). What is w(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(30) + sqrt(30) + 1*sqrt(30)))\/(sqrt(90)\/(sqrt(9) - sqrt(441))).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/86, -1\/857, 0.4?\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5743.579 to the nearest 100.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*g + 23 = 0, 3*v = -0*v - 5*g - 16. What is the second derivative of -19*b - 16*b**v + 4*b**2 + 6*b**2 - 10*b**2 wrt b?\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 292.8421.\nAnswer: 585.6842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 7*a + 41 + 24 - 13)*(2*a**3 - a**3 - 4*a**3) to x + z*a**4 + s*a + d*a**2 + q*a**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-165)\/30 - (-18)\/(-24)*-2. Suppose 0 = -4*d - 8 - 0. Sort d, 1, 2, h in descending order.\nAnswer: 2, 1, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984.94914 hours in weeks?\nAnswer: 5.8627925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 - 16\/(-10). Let t = -8 - s. Does 9 divide (-4)\/t + (-512)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l. Suppose -4*v + h + 19 = 0, 25 = 4*v - h - 2*h. Suppose 7 = v*c - 5. Let d(t) = 0*t + c*t + t. Determine p(d(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143473*b + 2*b**3 + 143473*b + 63.\nAnswer: 2*b**3 + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6485 - -6527. What is the least common multiple of i and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.75367 - -5.65367. Let m = 4 - 6. Let r = -0.8 + 0.4. What is the nearest to 1 in r, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iittiit. Give prob of sequence itti.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 108765*r - 54378*r - 54389*r.\nAnswer: -2*r - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {b: 1, j: 3, f: 8, t: 2, c: 2, a: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 17. Suppose -g + 33 = 4*f. What is the common denominator of 1\/2*f\/7 and -41\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 15. Solve 2*k - 24 = 5*d, -s = -2*k + 2*d - 0*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) - 12162\/120. Let w = i + 102. What is the second biggest value in -4, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -48. Suppose 4*z - 5*i = -380, -i + 181 - 485 = h*z. Round z to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0131 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 75\/10*(-12)\/54*9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 8. Let l = g + -6. Is (l - 1)\/((-2)\/(-282)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -999*d + 992*d = 3*r + 18, 3*d + 5*r + 4 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5 - 26 = -3*o, 4*c - 12230*o - 7 = -12227*o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + 4*n + 8 - 10)*(9*n**3 + 2*n**3 - 4*n**3).\nAnswer: -28*n**4 - 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 64. Let f = -529\/9 + j. Determine l, given that -f*l**4 + 0 + 2\/9*l + 2\/3*l**3 - 2\/3*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 10:08 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/255 and -40\/153.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -24.022. Let r = -68445.9779957 - -68446. Let i = r + p. What is i rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = -1. Let n(f) = -3*f**3 - 3*f**2 - 6*f + 3. Let z(c) = 6*c**2 + 8*c**3 + 13*c - c**3 - 6 + 0*c**2. Let w(y) = 9*n(y) + 4*z(y). Calculate w(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2979410057?\nAnswer: 13, 229185389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/269105 and -9\/25.\nAnswer: 1345525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65.75 - -66.1. Let r = 8217 + -8217.34852. Let a = i + r. Round a to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72.02 + 396907709\nAnswer: 396907636.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.2 - 8.26. Let c = -2402 - -2401.41. Let n = z + c. Round n to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85335.9 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, l: 7, j: 6}. Give prob of sequence jx.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*k = -58, -19 = -5*k - 4. Suppose 3*j = x + 4, 2*x + 0*j - t = -j. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01160186463 rounded to five decimal places?\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 723 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 - -170 - (13 + (46 - -4))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/300)\/((-6)\/(-20))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 17*d**2. Let w(f) = 2197*f**2 - 1 + 1 - 3 - 2190*f**2. Determine w(n(y)).\nAnswer: 2023*y**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6675)\/(-445) - 27*1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 2*m = -55 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1)*m**(2\/7))\/((m**0\/m)\/m)**29 assuming m is positive.\nAnswer: m**(408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.4 + 311.\nAnswer: 296.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 15*f + 63, -85*x = f - 100*x + 50 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/((-4)\/(11 - 3)). Let a be 5*1*22\/(-5). Let s = p - a. What is the least common multiple of 5 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (111\/11)\/((-177)\/(-2)). Let g = n - -4\/59. What is the nearest to -1 in 0.4, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -0*v + 42, -89*p - v = -75*p + 28 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:53 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 204, 0.54, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/5)\/((-2)\/5). Suppose 5*m = w*c + 22, 4*c + 23 = 5*m + c. Let x = m + -2. Solve 0 = x*s - 0*s + j + 7, 0 = -3*s + 2*j + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (20\/(-3))\/((-4)\/12) and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t + 1. What is the remainder when -4 - -9 - 4 - -73 is divided by w(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-978*w**2 - 19*w - w**3 + 978*w**2)*(-2*w**2 - 2*w**2 + 9*w**2).\nAnswer: -5*w**5 - 95*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/60 and 31\/39?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 - h**2 + 161*h. Let m be g(0). Put -4, 2, 4, m, 25 in ascending order.\nAnswer: -4, m, 2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1001985511 to the nearest integer?\nAnswer: 31654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1141.71 and -23363.\nAnswer: -24504.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psss. What is prob of sequence ss?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 6734*g - 6736*g - 16, 4*m + 2*g + 20 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -2\/9, 1, 5, -306?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 10:52 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 + 169*o**2 - 174643*o\/5 - 1640961\/5.\nAnswer: -(o - 427)**2*(o + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*t + 27, 4*h = -4*t - 0*h - 4. Suppose 0 = -4*v + 4, 0*j + 4*j - 13 = -v. What is the units digit of (-12)\/j*(-2)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 16, q: 4}. Give prob of sequence oqq.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-28))\/(34\/(7140\/(-225))).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 1\/4, -5, -705.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6293 and 172956?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**6\/30 - o**5\/30 - o**3\/6 - o**2. Does 12 divide t(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10975 * 12438.\nAnswer: -136507050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-897)*(-8 + 77)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53608.69s to milliseconds.\nAnswer: 53608690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b + 7*b**4 + 3*b - b - 2*b wrt b?\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 29428 = -5*b, -j + 0*j = 2*b + 11767. Let y = -3118 - b. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2668*b**2. Let m(c) be the first derivative of c**2\/2 + 702. Calculate p(m(l)).\nAnswer: 2668*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3252 - -6562. What is the remainder when n is divided by 275?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 3*g**2\/2 + 2*g - 3. What is the units digit of d(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.9227158 rounded to one decimal place?\nAnswer: -14.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 889196 and 1254.\nAnswer: 50684172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-11))\/(((-17526)\/(-6985))\/69)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 5*l**2 - 4*l + 1. Let z be x(3). Let u(i) = 632*i + 11. Let b(s) = -106*s + 2. Let p(n) = 6*b(n) + u(n). What is p(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2931 or -2925?\nAnswer: -2925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.036376636 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 997*s**2 + s. Let l be ((-16)\/40)\/((-2)\/5). Is c(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*p + 4*p**2 - 2*p**2 + 113*p**3 - 4*p**2 + 3*p**2.\nAnswer: 113*p**3 + p**2 - 60*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -10*z + 9*z. Suppose 0 = 4*a + z + 15. Is 0.1 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 127, 231, 333, 433, 531, 627, 721?\n\"Answer: -m**2 + 107*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 72. Let z be m(0). Suppose 5*i = z + 18. What are the prime factors of (-660)\/(-54) - 4\/i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 4*t - 18 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffssksf. Give prob of sequence ff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u**5\/5 + 426*u**4\/5 + 6306*u**3\/5 + 3310*u**2 + 750*u = 0. What is u?\nAnswer: -25, -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 770\/3? (a) 4 (b) -7 (c) 4\/251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*168709.\nAnswer: -84354.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**44)**(9\/7)\/(((s\/(s*s\/s**(-2)))\/s)**5*(s*s**(-2)*s)**(38\/3)) assuming s is positive.\nAnswer: s**(-652\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6912)*-2 + -1)**2 + (sqrt(384) + ((sqrt(384)*2 + sqrt(384))*-3 - sqrt(384)))\/sqrt(8).\nAnswer: 156*sqrt(3) + 27649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b04 - 1b?\nAnswer: -b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u - 905 = 65*u + 157*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 7*f - 2. Let y be t(-6). Suppose y*d - 4*p = 8, -d - p = -0*p - 2. Let k(g) = -3*g - g + d*g. Let r(q) = -2*q. Calculate r(k(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -3418 = -27333\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 211 by -299.\nAnswer: -211\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 12*u**4 + 15*u**2 - 9*u**4 - 13*u**2 - 2*u**3 to the form l*u**4 + r*u + p*u**3 + v*u**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3569316*s - 1292464*s + 2571744*s.\nAnswer: 4848596*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*(2 + sqrt(539) + 0 - sqrt(539))*-1*6)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-10))**(-1\/63)*(o*o*o\/(o*o**(-2\/5)*o*o))\/(o*o**(-22)*o) assuming o is positive.\nAnswer: o**(6476\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 957965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 56 = -0*j - 2*g, -7*j = 5*g - 204. Suppose p - 224 = -p. What is the greatest common divisor of p and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 10 + -8 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2*i - 50 = -66, -6*j = -4*j + 4*i + 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3608 divided by 451\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 - 6*o**3 - 20*o**2 - 6*o + 20*o**2 in the form z*o + d*o**2 + k + p*o**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 3*x**4\/8 - x**2 + 1. Let h(n) be the second derivative of w(n). Let r(a) = 16 + 47 + a - 69 + 6. Determine r(h(v)).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2))**40)**(-2\/9) assuming p is positive.\nAnswer: p**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/441)\/(-14*(-11)\/308)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 260?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90359*h + 27129*h - 207036 + 207036)*(-4 + 3 + 0)*(2 - 4 + 1)*(5*h - h - 2*h).\nAnswer: -126460*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 773641244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 4:21 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (8 + -15)) + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111838 is divided by 2282.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v + a - 118, -6 = 3*a. Let s = v - 9. 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 {t: 2, i: 4, w: 1, d: 7}. Give prob of sequence dtd.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150893, 301778, 452665, 603554?\nAnswer: 754445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - 2*l + l + 3 - 3 - 2*l + 5*l - 4*l - 2*l + (-3 - 1 + 2)*(3*l + 0*l - l) + 0*l + 4*l - 5*l + 0*l - 4*l + 2*l - 1748*l + 499*l - 609*l.\nAnswer: -1866*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 187210 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/7210504 and 139\/326760.\nAnswer: 108157560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -521381.05 rounded to the nearest one hundred?\nAnswer: -521400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/168 and 67\/777.\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -3836327.\nAnswer: 3836327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2894*d - 35 = 2896*d, 4*d + 30 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1)*(-28 - 5*t + 28)*(5 - 1 - 2 + (-3 + 0 + 1)*(5 - 3 - 1) + 1 - 6 + 4 + 0 + 4 - 6 - 1 - 6 + 23 - 2 + 2 - 4) to c + v*t and give v.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 4*i + 5. Let c be j(3). What is the third derivative of 9*y**4 - 3*y**2 + y**c - 8*y**2 wrt y?\nAnswer: 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50, -209, -480, -869, -1382, -2025, -2804, -3725?\n\"Answer: -y**3 - 50*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109712343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, -5, -13, -23, -35, -49, -65?\n\"Answer: -t**2 - 3*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17113 - 17107. Let u = 1 + -1. Suppose d + u*d = q*d. Let j(x) = x**3 - x + 18. Calculate j(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8346 = -v - 2*p + 3835, v - 12199 = -5*p. What is the remainder when v is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.395 + 0.105. Let g = 8.5 - n. Let u = 17.99898 + g. What is u rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 192904.04 to the nearest 100.\nAnswer: 192900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f + 4. Let j(d) = -8*d - 11. Let s = -2 - -13. Let m(t) = s*v(t) + 4*j(t). Let o(y) be the third derivative of y**4\/12 + 5*y**2. Give m(o(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlrx when four letters picked without replacement from {x: 4, d: 2, l: 2, q: 1, r: 2, u: 1}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {l: 1, t: 2, c: 1, d: 1, b: 1, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 13*z - 12. Let m = 18 + -9. Let s be x(m). Suppose -s = r - 5*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = -d + 13, d + 22 = 5*n. Let i be -2 + -3 + (-168)\/(-24). Factor -5*f**5 + 123 - 123 - n*f**i + 5*f**3 + 5*f**4.\nAnswer: -5*f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*s - 75 - 45. Suppose 13*a - 15*a = -s. Suppose 2*g - 10 = 3*k, 4*g + 22 = -5*k + 2*g. Sort 4, k, a in descending order.\nAnswer: 4, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11*c**2 - 10*c - 42. Let z(p) = -5*p**2 - 5*p - 21. Let q(x) = -6*u(x) + 13*z(x). Let g be q(8). Solve 4*l + g = -5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -73*d**2 + d - 2. Let g(l) = -365*l**2 + 6*l - 11. Determine 4*g(i) - 22*v(i).\nAnswer: 146*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 8*f + 5. Does 15 divide t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104681 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 6:21 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/6 + m**3\/3 + m**2 + 5*m. Let n be c(-2). Suppose 0*b + 3*b = n. Which is greater: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 11. Let s be k(-9). Let b = s + 46. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 * 0.01\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**3 - 3*d**2 + 10*d - 3. Is c(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**3 + g**2 - 5*g + 4. What is s(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {v: 5, e: 3, p: 1, m: 1, n: 3, u: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjquujjjuujjuuj. What is prob of picking 1 u and 1 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**5\/90 - 239*g**4\/36 + 80*g**3\/3 - g**2 - 499*g + 2. Find i such that m(i) = 0.\nAnswer: -240, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -34.94. Let k = a - -0.06. Suppose 4 = 4*q - r, 2*q + 4 = 4*r - 8. Sort k, 6\/7, q in decreasing order.\nAnswer: q, k, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 - 53 = -4*i. Suppose -3*a = a + 2*f - i, 39 = a + 5*f. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*q - z - 1001, 5*q + z + 1673 = 0. Let u = q + 630. Let b be u\/1*(604 + -4). What is b rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 512483 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32667704141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 3265 = -22995. Calculate the greatest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1058 and 34\/89?\nAnswer: 94162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9733.6239 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2163 and 40788.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 5. Let j = n + -6.7. What is j rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 8*1 + 0. Suppose -2*w + w = s. Let i(h) = h**3 + 6*h**2 - 6*h + 9. Let x be i(w). Is x < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 11:30 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 4*j + 3*j)*(-480*j**2 - 152*j**2 - 141*j**2).\nAnswer: 1546*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 836*w - 7752 = 190*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 5:29 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 520696 and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -718287 less than 6.266?\nAnswer: 718293.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87 - 145 - 154)*(-2 + 4 - 3)*(0 - 3*r - 5 + 4).\nAnswer: -636*r - 212","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -682796.5 and 9?\nAnswer: -6145168.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 239 - 239. Suppose -f + z + 282 = 0, 5*f + i*z + 4*z - 1374 = 0. List the prime factors of f.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((5 - 0 - 10) + 0 + -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -6, -2, 0.5 in decreasing order.\nAnswer: 0.5, -1\/9, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3*i - 4)*(-2047 - 1518 + 5354) to the form h*i + x and give h.\nAnswer: 5367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 4}. Give prob of sequence ng.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + -1.4. Let y = 3.8 + z. What is the closest to 4 in -1\/4, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2442?\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 17*i**2 - 59*i - 14. What is o(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**2 - 15*o + 4. Let l(r) = -46*r**2 + 65*r + 195. Let i(d) = 16*d**2 - 22*d - 69. Let f(b) = -17*i(b) - 6*l(b). Determine -4*f(h) + 3*p(h).\nAnswer: -h**2 + 19*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30991 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*u + 4. Let n(v) = v + 8 - v**2 + 0*v**u + 6*v. Suppose 2*h + 10 = 7*h - 5*j, 5*h + 2*j = 38. What is n(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3062039939.\nAnswer: 7, 62490611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + 3*i)*(186*i + 320*i - 1294*i - 1) + i**2 - i**2 + 2*i**2.\nAnswer: -786*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -322727*g + 3. Let n(u) = -1290908*u + 12. Let a(z) = 6*n(z) - 22*t(z). Let y be a(-11). Round y to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*g + 4. Calculate the common denominator of 101\/16 and g + ((-1225)\/10)\/(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -1\/6*z**3 + 0*z + 1\/12*z**4 - 6*z**2 + 0. Calculate x(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 12 - ((-13 - (1 + -4)) + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 162 = -4*n. Let v = n - 34. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p + 3*p + 3*p)*(19*p - 14 + 14)*(2 - 1 + 3) + (-2*p**2 - 3*p**2 + 3*p**2)*(0 - 6 + 3) - 5*p**2 + 4*p**2 - 8*p**2 as n*p + v*p**2 + y and give v.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (sqrt(125) - 1*sqrt(125))**2) + -1*((-1 + sqrt(605))**2 + 4).\nAnswer: -604 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, q: 3, w: 4}. Give prob of sequence wkqq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*w**2 + 180*w - 56*w**2 - 321 - 60*w**2.\nAnswer: 2*w**2 + 180*w - 321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, e: 4, b: 1, i: 1, d: 3, h: 1}. Give prob of sequence hid.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13614 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, o: 4, x: 6}. What is prob of picking 1 x and 2 d?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -17*o**2 + 5*o + 5. Let w(q) = -4*q**2 + q + 1. Give -2*k(n) + 9*w(n).\nAnswer: -2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 3550 + 46550. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6664*c - 4*c**3 - 2*c**2 + 6*c**3 - 3*c**4 + 6662*c in the form l*c**2 + i*c**4 + x + g*c + o*c**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(891) - (sqrt(891) + (sqrt(891) - (sqrt(891) - (-2 + sqrt(891)*2 + sqrt(891)))))) + -4*sqrt(891)*4 + -2)**2.\nAnswer: 1368*sqrt(11) + 321667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1, -1.5, -0.02, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1118 divided by 6.\nAnswer: 559\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 1. Let x be w(-1). Suppose r - 20 + 5 = 0. Suppose -r = -20*s + 15*s. Solve -m + 9 = 3*h - x, 0 = -m + 4*h - s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -3\/7 (c) -4\/29 (d) 2 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258733.8 decades to millennia.\nAnswer: 2587.338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 30 - 49 = -6*w + 41, 5*w - 15 = s + 27 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 2, 0.3, -2\/121?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 j when three letters picked without replacement from jcjcjjjjj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (145 + c - 139 + 2*c)*(-c - 2*c + 2*c) in the form n*c + d + k*c**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(0*s + 2*s + 0*s)*(0 + 4*s**3 + 0) + 2*s**4 + 0*s**2 + 0*s**2.\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(3\/5))\/(w\/(w**16*w)*w*w*w))\/(w*w**3)**(1\/36))**38 assuming w is positive.\nAnswer: w**(24776\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93958\/81 + -1160. Let m = -97\/648 - n. Is -1 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.58993 centuries to years.\nAnswer: 5558.993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (168\/77)\/(8\/44). Suppose 5*o - 4*k - 1123 - 479 = 0, -g = 4*k. What are the prime factors of o?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18353 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 2.2387415382.\nAnswer: -2.3387415382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 829 (c) -257473 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 7. Let h = o - -8. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 6. Let i be v(10). Which is the third smallest value? (a) i (b) 1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**(-1)*m)\/m*m*m*m**(-5))**7)**9 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 26. Find n, given that -6*n**3 + 20*n**2 - a*n**3 + 11*n**4 - 6*n**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(5\/(27 + 3)). Let s be 2\/(-12) - 25\/y. Suppose -21 = s*f - 61. Calculate the least common multiple of 29 and f.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 59\/4 of a kilometer?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 445639938?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -6. Let k = -3 - d. Let j = -4 - k. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m - 0. Suppose 0 = m*r - r - 12. Suppose -80 = -r*a + a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 637*o - 6 + 2 - 622*o. List the prime factors of n(12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315.9032 or 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/5)*b\/(b*b**(2\/9)\/b)*b\/b**(-7)*b**(1\/5)*(((b\/(b\/b**4))\/b)\/(b*b\/(b\/b**(-3))))**17 assuming b is positive.\nAnswer: b**(844\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - h - 43, -4*z + 5*h = -3*z - 23. Let o = -6 + z. Let v be o\/(-3)*18\/(-12). Let x(m) = -m + 1. What is x(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -137c8 + 7?\nAnswer: -137c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 32308672 - 2*k - 69057321.\nAnswer: -k - 101365993","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, y: 2, h: 1, k: 3, d: 1}. Give prob of picking 1 d and 1 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 9) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4160916 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1952*g + 11673. Calculate r(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 219\/(-657)*3\/2. Let y = -45 + 40. Put -2, 5\/2, l, y in increasing order.\nAnswer: y, -2, l, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/35)*g**5)**40)**(4\/17) assuming g is positive.\nAnswer: g**(5664\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1961?\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 483396?\nAnswer: 1450188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 10 = -0. Is (-156)\/(-5) + l\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12400973647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -13630*p + 13630*p + 2*p**2 - 1. What is s(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + -3 + (-3 + 2*sqrt(1372))**2*-6 + 5).\nAnswer: -3024*sqrt(7) + 98940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57 and -9.38.\nAnswer: 534.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -241 + 246. Let d be 6*2\/(2*3). Which is the third smallest value? (a) d (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + 1.78. Suppose 0 = 4*x - 3*y - 5, 15 = -12*x + 9*x - 4*y. Put x, q, 0 in decreasing order.\nAnswer: q, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -22?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1756 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-4)*j)*j)\/j*j*j*j**(-1\/2)\/j*j*j*(j**4)**(-9))**42 assuming j is positive.\nAnswer: j**(-1281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(120\/8))\/(3\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 115 (c) -2 (d) 2\/7 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + 71 - (4 - (-3 - -55))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 854094477 at least 854094477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s**5\/9 + 46*s**4\/9 - 44*s**3\/9 - 28*s**2\/9 + 6*s - 2 = 0 for s.\nAnswer: -1, 3\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 + 35*n + 103. What is b(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 29*v**2 + 2*v + 3. Is j(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-168)\/(-48)*(-60)\/(-14). Let v(s) = -9*s - 39. Suppose 24 = -4*i - 5*p, -p = -0*p. Let a be v(i). What is the greatest common factor of y and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87763555 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 11:37 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 20*u**2 + 34*u - 291. Calculate v(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4893*h + 225085. Calculate q(46).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*d**2*k**3 - 4418*d**2*k - 4*d**2 + 4*d*k + 643504*d - 3*k**3 wrt d?\nAnswer: -56*k**3 - 8836*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 402*t**2 + 4*t - 398*t**2 + 3*t**3 + 4*t. Differentiate m(l) with respect to l.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 24. Let m(b) = -2*b - 25. Determine -3*m(s) - 2*v(s).\nAnswer: 2*s + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -356190 rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.3 - -100.9. Let g = 106 - q. Let z = 2.05 + -0.05. Which is the nearest to z? (a) g (b) -1\/2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1600, 1620, 1636, 1648, 1656, 1660?\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 569 = -586. Calculate the greatest common factor of 187 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5)\/j)**(25\/4))**(14\/5)\/((j**0)**(-1\/18))**12 assuming j is positive.\nAnswer: j**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8957775 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 231746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1326675*b**3 + 2 + 663270*b**3 + 663403*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 108829699513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(67\/(-871))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**4\/12 + l**3\/6 + 3*l. Find the second derivative of k(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.7 - -3. Let h = 4.862 - 4.962. What is the biggest value in 5, g, h, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*o**2*u - 2*o**2*x - 16*o*u*x + 10*u*x + 19*u + 3 wrt o?\nAnswer: -12*o*u - 4*o*x - 16*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14842, -14847, -14852?\nAnswer: -14857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 63. Suppose -i*s + 81 = 3*p, 2*p + 3*s = p + 37. Calculate the lowest common multiple of p and (0 + (-2 - -10))\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**5 + 176*q**4 - 2748*q**3 + 11944*q**2 - 20752*q + 12768.\nAnswer: 4*(q - 7)*(q - 2)**3*(q + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7162.\nAnswer: 2, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3390600 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1656 - -2648. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -120. Let i be 2\/1 + -4 + y. Let v be (-28)\/(-126) - (-156)\/27. What is the highest common factor of i and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87614 to the power of 1\/2, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28808 and 18824.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9 = 11. Suppose m + 3 = 3*k - 0, s = -5*k + 5*m. Is -2 - (-10 - (-1 + k)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c - 51. Let i be k(14). Solve i*v = -2*g - 17, -3*v = 3*g + 2 + 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -1)*19*(-165)\/(-627).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -915600 by 872.\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-12)*(-2286)\/1397.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05451 - -0.4?\nAnswer: 0.34549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694012503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 65663526 (base 7) in base 3?\nAnswer: 101121211220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/13, 0.3, -149.\nAnswer: -149, -4, 2\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o - 52*o + 0*o + (1 - 1 + 1)*(2*o + 3 - 3) as k + g*o and give g.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1377\/(-85) + 126\/(-70)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4401745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.263677 months to decades.\nAnswer: 0.218863975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/((g**(-1\/3)\/g)\/g))\/((g*g**(1\/3))\/g))\/(g**(-7)*g*g**(-2)\/g) assuming g is positive.\nAnswer: g**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/15, 5 in descending order.\nAnswer: 5, 2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -327*n*v**3*x**2 + 2*n*x**2 - 2*v**3*x**2 + v**2*x**2 - 172*x**2 wrt v?\nAnswer: -1962*n*x**2 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + 16 - (0 + -2 + -22 - -28).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(-7\/2))**(-41))**(-4))**33)**(-5) assuming r is positive.\nAnswer: r**(-121770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - j**2 + j**2 - j**2 + 2*j**2 + 6*j**2 + (3 - 3 - 3)*(4*j**2 - 3*j**2 - 3*j**2) + 6*j**2 - 8*j + 8*j + 2*j**2 - j**2 + j**2.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*w + 127*w = n + 8, 14*w - 5*n - 36 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 12, -28*p - y - 8 = -29*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -241211 (base 7) in base 8?\nAnswer: -125223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 4 (c) -3\/5 (d) 68160 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11711768579104 - -3747762607889807\/320. Let q = j - -10429457. Let f = q - 35\/64. What is the common denominator of -23\/9 and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 2*a**2 - 2*a**2 + a**2 + 2. Let q be n(3). Solve -2*v - 2 + 6 = -z, 0 = -5*v + q*z + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - l**2 + 5*l + 7. Determine s(-3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2832*y**5 - 1319*y - 1?\nAnswer: 56640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.5, 6, -2, 7, -9, -0.4, 20?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1731*l - 41804 = 75904 for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(1\/(-5)))\/(1380\/(-736)*(-2)\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 34*j - 27. What is the remainder when a(-7) is divided by 165?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 3*d + 3. Let t be f(2). Let q be t\/2 - (-4)\/8. Solve -j + q*j = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320 and 723?\nAnswer: 231360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3210*v + 924*v + 2376 + 529*v**2 + 230*v**2 - 96*v**3 + 3*v**4 = 0.\nAnswer: 3, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 7:07 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o*z**3 - 316*o*z**2 + 10*o*z - 339*z**3 - 32*z**2 + 2840223*z wrt z.\nAnswer: 12*o*z - 632*o - 2034*z - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3912, -7821, -11728, -15633, -19536?\n\"Answer: a**2 - 3912*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -63, -126, -189, -252, -315?\n\"Answer: -63*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675 and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52771 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*l - 4)*(2*l - 1 + 4 + 5 + 0 + 0 - 2*l + (-2 - 1 + 5)*(2*l - 4 + 4) + l + 0 + 0 + 3*l + l - 3*l).\nAnswer: -12*l**2 - 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**3 + 1942*j**2 - 641*j + 2593. Give i(-324).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 4*s - 1. Let o be j(11). Let c(g) = -162*g**2. Let m be c(-1). Let u = o - m. Calculate the greatest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 0 + 0*d**3 - 1\/3*d**4 + 0*d + 7*d**2 + 1\/60*d**5. Determine h(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*p - 104 = -5*f, -4*f + 4*p = -104. Suppose 0*v = 3*o - 4*v + f, 3*o - 3*v = -24. Let c(q) = -2*q**2 - 7*q - 5. Let r be c(o). Is -35 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(75\/(3672 - 72)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/10 - -4\/5. Let w = -0.103 + 0.103. What is the biggest value in w, a, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152\/579 - 1334045\/2316. Let j = 576 + f. Which is smaller: -3\/47 or j?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -37 (b) 3\/5 (c) -272.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584*h - 4*t - 14 = -586*h, 9*h - 5*t = 76 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*x = 227*x + 159 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -10, -13, -16, -19, -22?\n\"Answer: -3*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*h - 28. Let k = 15 + -10. Suppose k*a - 88 - 12 = 0. Calculate the highest common divisor of a and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177\/(-1593) + (-129)\/54\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31276 is divided by 132.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 292 - 284. What is the remainder when 12 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(158\/20 + (-14)\/35). Let g = 0.2 - -0.3. Let w be (-4)\/10*(-2)\/(-4). Which is the third biggest value? (a) g (b) w (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/5 - 7131*k**3\/5 - 21384*k**2\/5 + 4*k\/5 + 28512\/5 = 0.\nAnswer: -7128, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 21 = -5*w, 5*o - 340*w - 10 = -336*w. Let v = 6 - 15. Sort 1, v, o in ascending order.\nAnswer: v, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78.4 - 71. Let q = -7.40004 + o. Round q to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*z - 66*z - 40*z - 599 + 13755 for z.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29, -52, -79, -110, -145?\n\"Answer: -2*z**2 - 17*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k**(-5\/8)*k)\/k))\/k**28)\/((k\/(k*k**0\/k))\/(k\/(k**6\/k))) assuming k is positive.\nAnswer: k**(-243\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*u + 3*u. Let p be ((-2)\/(-3))\/(2\/9). Find the third derivative of -p*b**2 + u*b**6 + b**6 + 10*b**2 + 8*b**6 wrt b.\nAnswer: 1080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17, 42, 95, 188, 333, 542, 827?\n\"Answer: 2*d**3 + 2*d**2 + 5*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmxmmmmmxmmxmxmmm. What is prob of sequence mmm?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/8*(-7944)\/9. Let w = u + -2317. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 206 - 201. Suppose -4*w - 544 = -x*w - 5*t, -2697 = -5*w - 2*t. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -7.6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**3 - 5*t**2 + 4*t - 12. Let x(y) = 7*y**3 + 6*y**2 - 5*y + 14. Determine -4*r(v) - 3*x(v).\nAnswer: 3*v**3 + 2*v**2 - v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**19\/a)\/(a*a*a**(1\/6)*a))\/(a*a**(-18)\/a*a\/a**(-1\/26)) assuming a is positive.\nAnswer: a**(1240\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 2\/5, 7, -468\/83, -0.5, 1\/8, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s**3 - 2*s**2 + 2*s - 4. Suppose -q - 4 = -3*q. Let y be o(q). Suppose -5*t + y = -69. Calculate the remainder when 123 is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*v - 4*f - 140, 56*f + 61*f - 40 = 4*v - 60*f + 228*f - 55*f for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 39*d + 543. What is z(50)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 x when three letters picked without replacement from fxudvduxr.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 12*p - 50. Let w be d(16). Suppose -11*n = 8 + w. Let s be 0 - 1 - (-2)\/10. Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 14 = -6*u + 5*u, 2*c = -u - 6. Find the second derivative of s - 3*s + 5*s**u + 2*s + 3*s wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from hhhmhmrehamameajhhae.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/10540 and -49\/7905?\nAnswer: 31620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 6\/32021 (c) 62\/5 (d) -3\/8 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2873, 0.2, -4\/3, -112?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**5\/4 - 483*t**4\/2 + 16101*t**3\/4 + 79905*t**2 + 354099*t + 424620 = 0 for t.\nAnswer: -337, -6, -5, -2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 30679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l - 55. Let i be y(-11). Suppose 4*w - 4 = 2*b, 3*w + 4*b = -i*b - 8. Suppose w = -4*m - 6 + 14. Solve 4*u + m = -5*k, -2*k + u - 5 = -6*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261655 - 261655 - 23*l.\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 20 = 8. Calculate the lowest common multiple of 20 and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15263028*n**2*t**2 - 255*n - 1763*t**2 wrt n.\nAnswer: -30526056*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*p + 232 = -4344. Sort -2, 5, p, 0.8 in decreasing order.\nAnswer: p, 5, 0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3667 + 3819 = 10*s - 12*c, 4*s - 2*c - 25 = 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*m**2 + 88\/15*m - 968\/15.\nAnswer: -2*(m - 22)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623715?\nAnswer: 3, 5, 43, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.3, 2265, 0.4, -2 in descending order.\nAnswer: 2265, 0.4, 0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -244 - 3*v - 242 + 484 + 9*v**2 - 10*v. Give p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 833861590 rounded to the nearest 100000?\nAnswer: 833900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - (-1 + -1)) + 39. Let a(w) = 26*w**3 + w**2 - 6*w + 4. Let s be a(2). 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 u = 34 + 80. Find the common denominator of 81\/22 and u\/21 + 6\/12.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 98?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1192665904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x - 1, 3*s + 4*x = -113. Let f = s + 27. Suppose 0 = j - 2*p - 6, -5*j = 2*p + 9 + 21. Do f and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101\/40 - -25\/8. Let p be (2\/(-3))\/(2\/(-9)). Suppose -4*k = -w, -w - 4*w - k = -21. Which is the nearest to -2\/9? (a) p (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**5 + 2064*p**3 - 9186*p**2 - 11*p.\nAnswer: 180*p**2 + 12384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 + -21 - -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b - 26 = m, 22 = b + 4*m. Let q = -11 + b. Solve 0*h - q*h = 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-19))\/r**(4\/5))\/(r**(-3\/5))**(1\/20))**46 assuming r is positive.\nAnswer: r**(-43171\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -15*y**3 + y**2 - y - 1. Let v be g(-1). Suppose 4*a - v = 4. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39532707793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-6))\/(6\/8). Sort 0.5, r, -2\/13, 5 in ascending order.\nAnswer: r, -2\/13, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - t**4 + t**2)*(-t + t - 2*t) - 2*t + 23*t**2 - 7*t**5 - 23*t**2.\nAnswer: -5*t**5 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(833)*1 + 5))**2 - (sqrt(2057)*3 + 1 + 4).\nAnswer: 1087*sqrt(17) + 13723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, -22, -45, -74, -109, -150, -197?\n\"Answer: -3*r**2 - 8*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 4, 0.2, -225, -7 in descending order.\nAnswer: 17, 4, 0.2, -7, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130995 and 355.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g**2 - 2*g + 1. Calculate r(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242967 + 20892 = -5*r. Suppose -g + 4*g = r. Let o = 7805 - g. Round o to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/13 - 16074*p\/13 - 16072\/13.\nAnswer: -2*(p + 1)*(p + 8036)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 10 + 39)*(-2*p - 2*p + 2*p)*(-3*p**2 + 4*p**3 + 3*p**2) to n*p**3 + a + i*p + w*p**4 + c*p**2 and give w.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/14)\/3)\/(24 + 5994\/(-259))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 6*w**2 - 1\/20*w**5 + 0 + 0*w - 3\/8*w**4 + 0*w**3. Factor y(z).\nAnswer: -3*z*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z + 837 - 123 = 40*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -13*j**2 + 14*j - 36. Let w(b) = -2*b**2 + b - 4. Let a(m) = 6*w(m) - y(m). Give a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23846, -47691, -71536, -95381, -119226?\nAnswer: -143071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/15*-5 + 8. Let v be (z\/(-18)*-6)\/(4\/(-4242)). Round v to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + (0 + 3 + sqrt(605))**2 + sqrt(605) + (5 + 4*sqrt(605) - sqrt(605))**2 + sqrt(605))*4.\nAnswer: 1716*sqrt(5) + 24336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.16, 7, -0.12, 44, 0.2?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/11 in 55, -35, -0.048?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 9*q**2 + q - 4. Let n be a(9). Suppose 0*t + n*f - 3839 = 4*t, -5*t - 4800 = -5*f. Let m = t - -1694. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -0.18.\nAnswer: 0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9792\/(-160))\/(-34))\/((-9)\/75).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v**(-2\/13)*v*v))**(-11\/5) assuming v is positive.\nAnswer: v**(407\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 193681100.7 minus 0.1914?\nAnswer: 193681100.5086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-15))\/(5 + 1486\/(-282)). Is b smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -13. Let h be (o - (1 - 40))\/2. Let j be 9\/(108\/8)*h\/(-2). Is j less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1305 is divided by 417?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -35089\/3843 and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 784*g + 475. Let m be u(17). Calculate the highest common divisor of m and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + 2*a + 34. Let j = 49 + -49. Calculate the remainder when m(j) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 3:51 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24262 is divided by 1346?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/20 - 114\/(-10). Let j(f) = -223*f + 947. Let n be j(4). Calculate the greatest common factor of n and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -17*t - 14. Let o = -83 + 78. Let c be o - 0 - 12\/(-6). What is the units digit of m(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2224)\/(-1112))\/((-2)\/36).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v = -476. Calculate the highest common factor of 34 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -9*c**2 + 1458*c - 8436. Calculate n(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 = -4*p - 3*k - 32, -4*k + 488 = 4*p. Let c = p + -72. What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*a**2 - 2*a**2 + 0*a**2 + (3 + a - 3)*(-2*a + 3*a - 18*a))*(0*a**2 - a**2 + 2*a**2).\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 37*q - 179. Give i(-41).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 357359371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = p - 4. Let g(i) = -i**3 - 3*i**2 + i - 1. Let s be g(p). Let q be 0 - (-3 - -3) - s. Calculate the greatest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(25 + -10))\/(1 - 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2791 divide 50466406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-142)\/(-4) - 2)*6. Let h be 2\/(-12) - (3 + g\/(-18)). Suppose -h*p + 12*p = 204. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 7) in base 5?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {n: 3, i: 13, s: 3}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(637) + 2 + 1 + -4 - (-5*(sqrt(637)*-2 + sqrt(637)) + (sqrt(637) + -1)*6)))*-6.\nAnswer: -18 + 420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -5892 and -5894 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, c: 5, k: 5}. Give prob of sequence kck.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7 + 11 + 2 + -15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v - 13. Let k(r) = 3*r - 12. Let d(z) = -2*h(z) + 3*k(z). Calculate d(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + ((2 - 7) + 3 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 6) to base 15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.56 - 0.5?\nAnswer: -10.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -6 - 2) + -21 + 0 + 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + -2 + 2*(1 + 6*((sqrt(13) - (-1 + sqrt(13) + 1))**2 - ((sqrt(117))**2 + -3)))).\nAnswer: 4116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b)**(-10)*b**6*b**(-1\/2)*(b\/((b*b*b*b**(1\/10)*b)\/b))\/(b*b\/(b\/(b**(-2)\/b))*b)*b**(-1)*b*b\/(b**(-5)*b)*b assuming b is positive.\nAnswer: b**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + d)*(-d + 2*d - 3*d) + (-d + d - d)*(-4*d - 4*d + 5*d))*(2*d**3 + d**3 - d**3).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/810)\/(((-126)\/8)\/(-9)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/((34\/(-170))\/(2\/20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10294062.\nAnswer: 2, 3, 139, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -38. Suppose n = q + 7. What is the highest common divisor of 14 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -140, -168?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/209 and 58\/57?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*sqrt(363)*-1.\nAnswer: 132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 2. Suppose -n - u*f - 7 - 9 = 0, 2*n = -2*f - 56. Let d be ((-2)\/(-8))\/(48\/n). Is 1 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17, -83, -185, -317, -473, -647?\n\"Answer: t**3 - 24*t**2 - t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59624636 and 3176?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145.221 - -0.221. Let o = f - -140. What is the closest to -0.1 in -3, -3\/7, o?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1781*d**3 + 3*d**2 - 12*d - 45. Is l(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (-13925)\/13935) + 3. Let o = m + -5468\/147711. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4352\/5568*18\/102\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*g - 2*g**2 + 6*g)*(63 - 36 + 0) + (16*g - 16*g + g**2)*(-1 - 3 + 6) in the form z + a*g**2 + d*g and give a.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 336927970, 336927971, 336927972, 336927973, 336927974, 336927975?\n\"Answer: c + 336927969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/15 - (-6)\/(-15). Suppose u - 11 = -b. Solve 5*a - i - 19 = 10, -u = a + 4*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -506586734561404 minus -0.3?\nAnswer: -506586734561403.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6740, -13592, -20400, -27158, -33860?\nAnswer: -40500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*s = 1470, -s = z - 5*z + 2965. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 0)*-6.\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**3 - 15*r**2 - 1758*r - 5207. Determine i(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.48.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdd when three letters picked without replacement from dccbsduduu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9248, 9117, 8982, 8849, 8724, 8613, 8522?\n\"Answer: f**3 - 8*f**2 - 114*f + 9369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from {a: 7, o: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 7*a + 6. Suppose 2*b + 2*b = 60. Let y be b\/6*-2 + 1. What is the units digit of j(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 160122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 556485, 556486, 556487, 556488, 556489?\n\"Answer: q + 556484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/(-12))\/5)\/(1196\/19136).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-16)*-2*(1 - -1283). Let q = p - 192. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 + 26*x**2 - 28*x + 9. Let g be k(-14). Let a be g + -9 + 8 + 44. Calculate the highest common divisor of 1196 and a.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1122*y - 1122*y - 610*y**3.\nAnswer: -610*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/15 - 1)*(6935\/(-152) - -46).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 + 39*m + 114. Let s(y) = 2*y**2 - 13*y - 38. Let b(o) = 3*p(o) + 8*s(o). Let v be b(-9). Factor 1\/3*l**v - l + 2\/3.\nAnswer: (l - 2)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 2*k**2 + k + 1. Let w(q) = 264*q**4 + 4*q**3 + 8*q**2 + 5*q - 1270. Let r(n) = 4*i(n) - w(n). Find the first derivative of r(c) wrt c.\nAnswer: -1056*c**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3*8\/(-12) + 80\/6 and (-16)\/(-32) + (-82)\/20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1947 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Let q be ((-5)\/2)\/(4*(-2)\/48). Suppose 2*f = -i*l + 6, -q = -f + 4*f. Solve 0 = -5*b - m - 3 + 11, 2*b - l = 2*m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4886?\nAnswer: 2, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 22*r + 40*r - 20*r. Let q be u(2). Let p be -12*1\/7*-7. What is the greatest common factor of p and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1347 in -0.5, -2, -4, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33427, -2, 10 in increasing order.\nAnswer: -2, 10, 33427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 10 = 2*p + 4*n, -n + 1 = -p. Which is smaller: -6\/37 or p?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 90 = -s - 5*i, -s + 30 = -5*i. Calculate the remainder when s is divided by (-4)\/(4 + -6) + 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i + 8*i + 54332 = 0. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -303, -0.79, 1.7?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.47602l to millilitres.\nAnswer: 7476.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-14)\/315)\/((-6)\/9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75379097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**4\/12 + o**3\/6 + 17*o**2. Let g(i) = 2*i. Suppose -3*c + 0*c - 9 = 0. Calculate c*g(u) - 2*d(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 142*w + 140*w - 6, -3*a + 4 = -w. Let m(q) = 95*q**3 - q**2 + 1. Let i be m(1). List the prime factors of 8\/(-2) + i - a\/(-1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*h - 85*h + 69*h - 148 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 2110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 4. Let w be j(3). Is (-9)\/2*3*w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87260*q**4 - 58026*q wrt q?\nAnswer: -1047120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7144 divided by -1786.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 819008 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16027276 minus 1.2?\nAnswer: -16027277.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -15 and -15 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 4*c**2 - 3*c + 2. Let a be u(-4). Let h = a + 112. What is the greatest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 11259628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4772 a factor of 37300291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4115?\nAnswer: 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 15. Let c be m(0). Suppose c - 18 = -q. Solve -3 = 5*z - 3*s, 4*z - s = -q - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22513850497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/(-9) - -2) + 44\/198. Let p be 0 - (-1 - (-1)\/(-1)). Put 4, p, u in descending order.\nAnswer: 4, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by -1*((-4)\/2 + 2*-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -58781 (b) -111 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 56. Let i(c) = 2*c - 56. Give -4*i(z) - 5*j(z).\nAnswer: 2*z - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-2)\/3*-3. Let v = 7 + -5. Determine s, given that i*s**4 + 28*s**3 - v*s - 8*s**2 - s**5 - 13*s**5 + 4 - 12*s = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -898534910 divided by 70\nAnswer: -12836213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = -3. Suppose 20 = 5*l - 15. What is the smallest common multiple of z and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 - 1972*o\/7 + 486098\/7.\nAnswer: 2*(o - 493)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/118224 and -65\/14778.\nAnswer: 118224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 1 - h - 3*h**2 + 5 + 0*h**2. What is the smallest common multiple of 11\/2 - (-1)\/(-2) and m(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.3211 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 480 + -480.01. Which is the nearest to -5\/3? (a) -0.3 (b) -3 (c) -2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**28*(b**(2\/3))**(-26\/9))\/((b**(1\/4))**(3\/4)*b**(1\/3)\/b**(-1\/5)) assuming b is positive.\nAnswer: b**(-66197\/2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 9*a + 4. Let q be g(-10). Suppose -1384 = -12*d + q*d. List the prime factors of (-2)\/(-6) - d\/12.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 i when three letters picked without replacement from {i: 4, b: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**13\/n*n)*n**(10\/3))\/(n**(-2)*n*n*n*n**(-2\/13)*n))**(13\/3) assuming n is positive.\nAnswer: n**(-410\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*4*7\/(-70)*130\/(-52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -76, -244, -572, -1114?\nAnswer: -1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 592.8922s to milliseconds.\nAnswer: 592892.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 31*h**2 - 1. Let m(x) = 7*x**2. Give m(j(f)).\nAnswer: 6727*f**4 - 434*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249948?\nAnswer: 2, 3, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13 - -9*(-304)\/(-192)) + (-29847)\/(-4)?\nAnswer: 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -38*((-1)\/1)\/(-2). Let o(a) = a**3 - 3*a**2 - 4*a - 5. Calculate the remainder when o(5) is divided by -4 - q - (-2)\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -569999 <= -569999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 - 134?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Suppose 3*w - a = 2*a + 24, -v*w - 4*a + 28 = 0. What is the lowest common multiple of 2 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**4\/2 - 36*y**2 - 3*y. Let t(j) = -4*j**2 - 6. Let o(r) = 3*r**2 + 5. Let z(d) = 6*o(d) + 5*t(d). What is z(a(m))?\nAnswer: -288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 46*a - 16*a - 2 - 17*a - 14*a. Let l be t(-6). Solve 0 = 3*r + 6 + 3, 0 = l*k + r + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5131*v**5 + 3*v**4 - 833*v**3 + 126*v**2 + 261724*v wrt v.\nAnswer: -307860*v**2 + 72*v - 4998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-20 - (-11 + -15))) + -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 816618*w**6 - 10139198*w**2 - w.\nAnswer: 97994160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/2)\/((-2)\/4). Suppose x + o*x - 15 = 0. Suppose 5*r + 30 = 5*a, 3*a - 4*a + 2 = 0. Sort 3, r, x in decreasing order.\nAnswer: x, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -261390, -261391, -261392, -261393, -261394, -261395?\n\"Answer: -k - 261389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*sqrt(162))**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/180 - d**2 - 3*d. Let f(i) be the first derivative of a(i). Factor f(r).\nAnswer: -r**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l + 10. Suppose -4*s - 2 = 5*y - 1, 13 = -2*s - 5*y. Let b be 3\/s - (5\/(-8) + 1). What is the third biggest value in b, 0.2, 4, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2148 is divided by 239.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**5 + 2991*x**4 - 18087*x**3 - 32811*x**2 + 288624*x - 240720 = 0?\nAnswer: -1003, -4, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -12*n**3 - n**2 + 1. Let u be c(-1). Suppose u = 4*s - 0. Suppose 2*i + 12 = 2*x, x + 3*x = -s*i + 17. Let g(t) = t**2 - 3*t - 6. Determine g(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbabaababaa. What is prob of sequence aab?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + -1)\/(33\/(-44)). Let l = k - -18. Let h = 41 + l. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12412 + 20012?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 186152\/5 - 37367. Let p = r + 136. Let s = 0.727 - 1.727. What is the closest to s in -0.2, 1\/6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 5*n**3 + 0*n**3)*(0*n**2 + 0*n**2 + 4*n**2) + 0 - 9*n**5 - 1 + 1.\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2268 + -2269. What is the second biggest value in -4, -1\/5, -5\/3, 6, q?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.717765 microseconds to nanoseconds.\nAnswer: 7717.765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5*1*sqrt(252) - (-4 + sqrt(252) + (1 + sqrt(252) - sqrt(252)))) - (2 + sqrt(448)*3 + 0 + 0))**2.\nAnswer: -5304*sqrt(7) + 170641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -1) + (-23 - -5) + 46?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuhjctcwt. What is prob of sequence ht?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -12. Let t be z\/154 - (-14)\/(-49). Let m = -1 + 1.5. What is the biggest value in -0.4, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-5))\/(64\/80))\/(2\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + -13 + 32 + -22 - -5) + -6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60051 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.2 - -1.8. Put w, -0.3, 1 in increasing order.\nAnswer: -0.3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.066 + -0.069. Let f = m - 0.197. Let p = 0.08 + -5.08. Which is the nearest to f? (a) 2\/3 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1047 + -1047. Which is the nearest to k? (a) 116 (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 1704*s - 1709*s. Let p be (3\/2)\/(6\/36). Suppose -p + 3 = -2*z. What is the least common multiple of z and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1114597506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 7)\/(5\/(-2)). Which is bigger: b or -193?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 156 = -5*l, 4*l + 3*a = -337 + 480. Let m = 1 - 9. Let p be (1*12)\/(m\/(-52)). What is the greatest common divisor of l and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 1 + 1 - 1 + 1 + (-2 + 0 + 1)*(2 - 5 + 1) + 0 + 5 - 3)*(-2*i - 2*i**2 + 2*i).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 3\/5, -31?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 5*h**2 + 4*h - 5. Suppose 0 = 11*n - 7 - 26. Suppose 3*v + 3*r - n = 0, -2*v + 2*r + 6 = -12. Calculate s(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 30742*r + 276841. Determine f(9).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -103935.\nAnswer: -311805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/15)\/h*h)\/h**7)\/(h**(2\/11)*h\/h**(-5\/6)))**(-2\/115) assuming h is positive.\nAnswer: h**(977\/6325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27\/52 + 68\/13. What is the closest to 0.1 in u, -1, -45?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 136*w - 3900. Let m be g(66). What is the highest common divisor of m and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2646 - 1434. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (663\/442)\/((-10)\/140*-623).\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 10:08 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 8*g**2 - 8*g - 8. Let y(p) = 8*p**3 + p**2 - 1 + p**2 + 0*p**2. Let z be -5 + (4 + 1 - 1). Let f be y(z). Determine t(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190069 is divided by 105?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5*d - 10791 + 2296, -5127 = -3*b - 2*d. List the prime factors of b.\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sccscssccciri?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/10*(-10)\/3. Let d be (o - (1 - 1)) + -1. Find the first derivative of 7*u - 3*u - d + 0*u wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30031042 - 1244?\nAnswer: -30032341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 2*h**2 - 3*h - 2. Let z be b(-2). Suppose r + z - 17 = 0. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4992 and 273?\nAnswer: 34944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 25*x**2 + 140*x - 141. Let b be s(1). Solve 18*a - b = 22*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*-1*(2 - 10). Let t(j) = -j**2 + 16*j - 54. Let p be t(7). Suppose -p*l - 1 = -37. What is the highest common divisor of z and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 16*p + 16. Let x be o(7). Let a be (x - (6 - 3))*5. Let w(k) = -k**2 - 7*k - 6. Determine w(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18990)\/(-144) - (-7)\/56. What is the greatest common factor of 384 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*j = 97*j - 87. What is the remainder when 115 is divided by j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -752, -720, -692, -668, -648, -632, -620?\n\"Answer: -2*m**2 + 38*m - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12088878, 24177755, 36266632, 48355509, 60444386?\nAnswer: 72533263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -2170013.\nAnswer: -2170013, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -7\/5, -19 in descending order.\nAnswer: 0.1, -7\/5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1275 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 + 16*f**2 - 18*f**2 + 7 + f + 7*f**2.\nAnswer: 13*f**2 + f + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 37872?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {i: 1, b: 2, c: 4, v: 9}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1283796 divided by -213966\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h + 1447532 - 261152 = 0. What is h rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5448303 divided by 3\nAnswer: -1816101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/43851, 1.7, -5, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5445 divided by -5445\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**3\/(r\/(r*r**(-11)*r*r)) assuming r is positive.\nAnswer: r**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23343 - 2312?\nAnswer: 21031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-7))\/(6\/4). Suppose 5*c - 4*c + 1 = 0. Which is bigger: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 20. Let y(u) = 0 + r*u - 4 + 2 - 1. What are the prime factors of y(2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*o - 29 + 10 = 62, 34*a - 2*o + 992 = 0 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-3)*d))\/d**(-12\/5) assuming d is positive.\nAnswer: d**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/1030, 3, 4, 0.2 in decreasing order.\nAnswer: 5, 4, 3, 0.2, 1\/1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1982068?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1 - 8) + (10 - 11 - 8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 + 3123*n + 25177. What is h(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 - 171*r**2 + 348*r + 59. Is 30 a factor of b(-59)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, q: 3, v: 6}. Give prob of sequence vsvq.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2 + 1 - 2. Let j(c) = -15*c**2 + 8*c + 7. Let z(a) = j(a) - 5*t(a). What is the second derivative of z(n) wrt n?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -10*t**7\/7 - 2*t**5\/5 - 4*t**3 - 10*t + 134. Find the third derivative of g(h) wrt h.\nAnswer: -1200*h**3 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -205, -222, -255, -310, -393, -510?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 - 4*p**4 - p**4 + (-2*p**2 + 5*p**2 - 2*p**2)*(-5*p + p**2 + 5*p + 0 + 0 - 3*p**2 + (4*p - 2*p - 4*p)*(0*p - 4*p + 2*p)).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -766975, -766998, -767019, -767038, -767055?\n\"Answer: x**2 - 26*x - 766950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*f = -94*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -0.04947?\nAnswer: 2.95053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -384 by -8.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50068311 is divided by 582.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3706 and 3.8694.\nAnswer: -14339.9964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -101111001101110001011 (base 2) to base 5\nAnswer: -344002042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 55.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b = -18. What is the derivative of 3*x - 2*x + 7*x - b wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-295)\/25 - -12)*3\/(-1). Let k = -30 + 83\/3. Let a = k + 11\/6. Put c, -4, a in descending order.\nAnswer: a, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = -4*i + 5*z, -6*i = -2*i + 2*z + 242. Let u = 71 + i. Suppose -u*a + 1972 = -6*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20904 and 77568?\nAnswer: 67561728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -45*f - 6. Let j be w(5). Let y = -688 + 1345\/2. Find the common denominator of y and (658\/j)\/((-4)\/(-3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2315 divided by 463\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340, -854, -1370, -1888?\nAnswer: -2408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.8 - 347.8. Let u = -340.00373 - d. Round u to 4 dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54908 divided by -28\nAnswer: 1961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (447\/4619)\/((2\/(-5))\/(8\/(-30)))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662 divided by 6?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*h - 15 = 0, -3*u + 11 = -3*h - 2*h. Suppose -2*l + 4*x + 29 = l, l = -u*x + 23. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2940*h**2 + 12322*h - 12322*h)*(2*h - 1 + 1) + 0*h + h**3 + 0*h.\nAnswer: -5879*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26b48a9 (base 13) to base 2.\nAnswer: -101110100011111100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -1\/7, 0.05, 0.3, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48910 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4887251*b**3 - 267*b - 6905 wrt b?\nAnswer: -29323506*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879*t = 447*t + 436*t - 2*g - 116, 9*t = 2*t - 3*g + 203 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -885 (b) -10 (c) -5 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1813977 and 9.\nAnswer: 1813977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3034234 (base 5) in base 2?\nAnswer: 1100000010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/198950 and -71\/2530?\nAnswer: 2188450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -39*s + 7. Let o(l) = 5*l**2 - 6*l + 144. Let h(g) = 9*g**2 - 11*g + 264. Let j(r) = 6*h(r) - 11*o(r). Give p(j(f)).\nAnswer: 39*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 5*f**2 + f - 2. Let k(m) = -m**3 + 6*m**2 - m + 7. Let r be k(6). Let n be (-78)\/260*(-29 + -1). Let i be r*n + (12 - 16). Determine u(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 2*i**2 + 0*i**3 + 0*i + 1\/120*i**5 + 0*i**4 + 0. Factor c(j).\nAnswer: j**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(126)\/(sqrt(18)\/sqrt(9) + sqrt(2) - sqrt(2)))\/(sqrt(18)\/(sqrt(2)*-5)) + 5.\nAnswer: -5*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l + 26. What is the remainder when 32 is divided by z(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-2*1\/12. Let v = -0.21 + 0.11. Put v, g, -2\/11 in ascending order.\nAnswer: -2\/11, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/31)*s\/(s*s\/(s\/(s*s**(-22)))*s))\/(s**(-3\/8)*s*s)**(14\/11))**(4\/31) assuming s is positive.\nAnswer: s**(24371\/10571)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s - 3*b + 12, 0 = -4*s + b - 11. Let f be 42\/9 + 2\/s. Let c(w) = w - f + 4. Let l(v) = -2*v**2. What is c(l(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/85 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**3 + 17*a**2 - 14*a - 11. Let b(g) = -2*g**3 - 6*g**2 + 5*g + 4. Let k = 40 + -35. Suppose -k*u = -0*u - 85. Calculate u*b(h) + 6*f(h).\nAnswer: 2*h**3 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 15. Solve -1 = s - 0, 2*x + 3*s + 13 = c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -52 (b) 0.4 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5339 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/726 and -79\/33.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4461422205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 3 - (-1 - (-1 - -5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -17, 55, 183, 385?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*u = 19 - 1, 5*z - 3*u = -30. Let s be -7*10\/(-15) + 4\/z. Let f = 0.4 + -0.5. What is the third smallest value in -0.05, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 927, 3, 2?\nAnswer: 927","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -13*t**2 - 3*t. Let s(d) = 1. Determine i(c) + 4*s(c).\nAnswer: -13*c**2 - 3*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*111.\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19354198 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 1. Let s be l(-5). Let u = s - 0. Suppose -r = -u*r + 35. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + -4 - 601)*5\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 12*k - 17. Let o be u(10). Suppose -f - 3*i = -16 - 4, 49 = 2*f + o*i. Is 30 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*a = 51*a + 170033. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -381 - -126. Let j = -248 - d. Let q be (8\/(-10))\/((-2)\/10). Solve -q*n - 24 = -4*a, -4*n - j - 8 = -a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 496 - 506. Let v(m) = -m**3 - 5*m**2 - 3*m. Let a be v(-3). Which is bigger: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-84)\/(-70))\/(2\/5). Sort 5, -5, 0, 1, a in increasing order.\nAnswer: -5, 0, 1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (3 - -4) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9*2\/((-24)\/(-9)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.7 - 105.3. Let p = d + 124.2. What is p rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 - 38*c**2 - 40*c - 6. Calculate f(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 80 - 220. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -755*d - 7395. Does 14 divide c(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 9*g**2 - 6*g - 16. Let w be m(8). Is (w - -1)*(19 + 1380) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167859 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/2))**(-34)\/(m**(-2)*m*m**(-1)))\/((m*m\/m**(1\/2))**(-1\/9)*m**(1\/7)\/(m**(1\/10)\/m)) assuming m is positive.\nAnswer: m**(-1667\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - j = 2*j, -4*x + 4*j = -16. Suppose 0*d + 8 = 4*d. Solve x*h + d*h**3 + 1\/2 + 3*h**2 + 1\/2*h**4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393 = -o + 2*l + 401, l + 3 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 117235*u. Let l(p) = -4*p**2. What is o(l(r))?\nAnswer: -468940*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1930302?\nAnswer: 2, 3, 11, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6 + 4*z - 1 - 8*z.\nAnswer: -4*z - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -405.8 - -406. Let g = 182 - 169. What is the fourth biggest value in 0, -2\/7, c, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 26*z**2 - 28*z + 21. Calculate x(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 12688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**5\/5 + 967*b**4\/4 - 70*b**2 - 4788. Find the second derivative of i(q) wrt q.\nAnswer: -12*q**2 + 5802*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37459, -74961, -112513, -150139, -187863?\nAnswer: -225709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12311 is divided by 4100.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9 - (-259)\/294)\/(410\/(-287))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {r: 4, e: 2, j: 2, k: 1, a: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1489952 divided by -2\nAnswer: -744976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 147 = 36*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1800027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/2? (a) 14 (b) -0.5 (c) 0.08 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 2234.4.\nAnswer: -8937.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 - 1. Suppose 0 = 5*j + 21 - 1. Suppose -5*q = 36 - 31. Put j, l, q in ascending order.\nAnswer: j, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/12*6\/(-5). Let t be (20 - c) + (1 - 3). Suppose -10 = -q - 2*m, -3*m + 8*m = -2*q + t. Solve 0 = -f + 4*z - q, 2*f = -2*f + 2*z - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/5 (b) -3 (c) -2\/177 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.89 - 1.09. What is the closest to -3 in -1, -20\/9, u?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(60)\/(sqrt(12) + sqrt(12) + sqrt(12)*3 - sqrt(12)).\nAnswer: -3 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 0.2, -0.254, 0.5, -0.3, -1841?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-8))\/((-72)\/(-24))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**5 - 1479*l**4 - 70461*l**3 - 724017*l**2 + 4531128*l + 5186160 = 0.\nAnswer: -441, -28, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**6\/36 - 11*n**5\/10 + 71*n**4\/24 + 11*n**3\/6 - 35*n**2\/6 + 989. Suppose y(r) = 0. Calculate r.\nAnswer: -35, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 12:20 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y*y**(-4\/9)\/y)**(-14\/5)\/((y\/(y\/((y\/y**(-1\/4))\/y)))**7)**(-26) assuming y is positive.\nAnswer: y**(4039\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -6.5.\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 + 2*o - 2. Let s(c) = 3*c**2 + 3*c - 196 + 193 + 3*c**2. Calculate -7*k(l) + 5*s(l).\nAnswer: 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7112 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5*t = 45, 190*t = -40*z + 194*t + 36 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7254534 less than -65290810\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*k - 25*k**2 - 3 - 2*k**2 + 30*k**2)*(141 - 141 - 21*k**2) as x*k**4 + i + f*k**3 + r*k + p*k**2 and give p.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**3\/3 - 9*y**2\/2 - 18*y + 14. Let i be c(-7). Let d be (1\/(i\/4))\/((-1)\/3). Solve 4*m - 18 = -l + d*l, m - 17 = 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241142585.\nAnswer: 5, 19, 133597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2. Let s(t) = 13743*t**2. Give s(k(j)).\nAnswer: 343575*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + (-5 - -6 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 27*l = 22*l - 42. What is the remainder when (-116)\/(-10) - (-2)\/5 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4\/((m**(-5)*m)\/m))\/(m\/(m\/m**(2\/5)))**(-12) assuming m is positive.\nAnswer: m**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7711, -15069, -22337, -29521, -36627, -43661?\nAnswer: -50629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17456, -34901, -52338, -69767, -87188, -104601, -122006?\nAnswer: -139403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -21. Suppose y = 3*r + 10, 6 = 2*r - r + 2*y. What is the units digit of (78\/k)\/(r\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3835 and 164515?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 0*o + 0*o)*(-1 - 4 + 3) + (-1 + o + 2 + o)*(-3 - 2 + 1) as h*o + r and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 67677 divided by -3\nAnswer: -22559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-4)*176\/132?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1402106 is divided by 93471?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n = 16*n + 2*o - 72, 3*n - 264 = 17*n + 17*n - 4*o for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6)*1) - sqrt(324)\/sqrt(12).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, f: 5, j: 3, o: 1, k: 1, s: 3}. Give prob of picking 1 b and 3 j.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -6)*((-14 - (-15 - 14)) + -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -43. Let l be o\/10 - (-18)\/4. Let h(v) = 330*v - 11. Is h(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13178597 is divided by 658929?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 18112*c - 4636662. Determine s(256).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 241. Let y = -88 + b. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -1 + 4 + 1. Let r(a) = 4*a**3 - 4*a**2 + 2*a + 1. Is r(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 6*g**2 - 2*g - 6. Let r be j(-6). Suppose -u + 21 = r*u. Suppose u*x + 4 = 106. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3 - 222741*x**2 - 4132345905*x + 78595002273 = 0.\nAnswer: -37133, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2279 = -5*m + 2851. Suppose -3*r = -9*r + m. Does 18 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.5 - 45. Let f = -0.923 - -2.623. Which is the fourth smallest value? (a) 1\/3 (b) -2 (c) x (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12049, 11808, 11567, 11326, 11085?\n\"Answer: -241*q + 12290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 10:54 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 5096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3*w**3 - 292*n**3*w**2 - 49*n**3*w - n**2*w**3 + 2*n**2*w + 2732*w**2 wrt n?\nAnswer: 12*w**3 - 1752*w**2 - 294*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5231917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149*y**2 - 77*y**2 - 52 - 4*y + 371*y**2 wrt y?\nAnswer: 886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*o**2*x - 2*f*o*x + 3*f*o + 3*f - 7*o**2*x + 7*o*x wrt o?\nAnswer: 4*f*x - 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 106*q + 550. Calculate i(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 47*d - 15. What is the tens digit of b(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*x = 16. Let q be -4*x\/6*-3. Suppose 0 = -0*k + 4*k - q. Solve 16 = -4*o, -c + 6*c - 41 = k*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 17 - 65 = 0. Let q = -16 - y. Suppose -4*c + 140 + 304 = q. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*j = -3624, -4*d - 10*j + 6*j - 3660 = 0. Which is smaller: d or -910?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 40793, 40969, 41203, 41525, 41965, 42553?\n\"Answer: 5*y**3 - y**2 + 144*y + 40645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -80*a + 9. Is u(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1198720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3180 - -5366. Suppose 13*g = 401 + f. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-21) - ((-395)\/(-483) + 6\/69).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 + 26\/3. Let n be (-4)\/2 + 4 + r. Suppose 2 + n = 4*g. Solve 10 = 2*i + g*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {n: 16, c: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.64119 and 0.1?\nAnswer: -2.664119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 2*i + 0*i + (-4 + 3 + 0)*(-98*i + 144*i + 193*i) in the form p + a*i and give a.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27237 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58.036 + 0.036. Let t = -0.30959 - -58.43359. Let z = t + o. Round z to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10428049?\nAnswer: 10428049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 + 29*o - 3. Calculate the remainder when 95 is divided by q(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 + -9.03. Let z = 8.8 + c. Let s = -17\/100 + -2\/25. Sort s, z, 3 in decreasing order.\nAnswer: 3, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53458 + 25051. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, l: 2}. Give prob of picking 3 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((5 + -1*sqrt(396) + sqrt(396) - sqrt(396))*-4*-6)**2 + -1 + 0 + -5.\nAnswer: -34560*sqrt(11) + 242491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54558*p**3 - 327568*p**2 + 492342*p - 1980 = 0. Calculate p.\nAnswer: 110\/27279, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, x: 2}. Give prob of picking 3 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u**3 + 26*u + 160. Let w(r) = -27*r**3 + 106*r + 640. Let o(m) = 9*n(m) - 2*w(m). Differentiate o(a) wrt a.\nAnswer: -27*a**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f. Let z(l) = -l. Let i(a) = r(a) - 6*z(a). Let b(c) = -2*c. Calculate b(i(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.2. Let z be -2*515\/342 + 3. Let u = z - 112\/171. Which is the smallest value? (a) -3 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5 = -s + 20, 3*s - 4*h = -12. Suppose s = 3*r + 7 + 11. Let j be (-9 - r) + 87\/27. Which is the biggest value? (a) -0.2 (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzhqysly. Give prob of sequence yshq.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -838*q**3 - 45*q**2 - 7*q. Let r(o) = 419*o**3 + 26*o**2 + 4*o. Give 7*r(t) + 4*v(t).\nAnswer: -419*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y = -15*y - 26196. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-45))\/(2\/(-4))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 183?\nAnswer: 2379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-780)\/140)\/13)\/((-36)\/14))\/((-52)\/36).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, q: 5, b: 4}. What is prob of picking 2 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 + 28*o**2 + 31*o - 28. Calculate i(15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18326100 divided by 6\nAnswer: 3054350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6537 - -11165. What is the highest common divisor of s and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, -2, -10, -16, -20, -22?\n\"Answer: s**2 - 13*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -11, 5\/2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-2))\/(((-8)\/12)\/((-4)\/(-3))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-3\/11)*w\/w**(-1\/16))**(-23))**(-43) assuming w is positive.\nAnswer: w**(406479\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -961614*h**2*z + 6*h**2 + 3*h*z + 22*h - 6286 wrt z.\nAnswer: -961614*h**2 + 3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 12*a**2 + a - 9. Give g(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8772 - 3631561\/414. Let u = m - -5\/46. Let q be 1\/2 + (-27)\/78. Which is the closest to u? (a) q (b) 4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.20592.\nAnswer: 0.41184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 + -70. Let w = -4 + 3. Let l = w - o. Is 0.3 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*-5*sqrt(448) + (sqrt(448) + -1 + sqrt(448) + 1 - (sqrt(448) + (0 + sqrt(448) + sqrt(448) + sqrt(448))*-5 - sqrt(448))))**2.\nAnswer: 236992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 32. Suppose 4*j + z = 6. Let l(t) = -4*t - 129. Let s be l(-33). Which is smaller: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6689 - 42.1.\nAnswer: -41.4311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n + 381 + n - 5*n + 28*n.\nAnswer: 15*n + 381","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12 - 4 = 0. Suppose -17 = -2*j - 3*l, -3*j - o*l + 24 = -0*l. Let z be 6\/j*(-2)\/1. Let y(i) = -i**3 - 2*i**2 + i - 2. Calculate y(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/9*(-4)\/(-69). Let l = -6\/23 + y. Let x be (-55)\/20 - (-1 - 1). Put -0.2, l, x in increasing order.\nAnswer: x, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137677364.\nAnswer: 2, 11, 3129031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r. Let o(z) = -20*z. What is h(o(v))?\nAnswer: 60*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 0.073.\nAnswer: -0.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*sqrt(3)*6 - (sqrt(24)\/(sqrt(8) + 2*sqrt(8)) - 4*sqrt(12)\/sqrt(4))**2.\nAnswer: -54*sqrt(3) - 121\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*g + 3*g, 2*m = 4*g - 598016. What is m rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*f + 4*p, -62*p = -44502*f + 44505*f - 272 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -21575 + 21575 - z + 8*z**2 + 5*z**3. Let c(m) = -11*m**3 - 17*m**2 + 2*m. Give 6*c(k) + 13*y(k).\nAnswer: -k**3 + 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from {k: 9, g: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -q + 6, 0 = 5*q + 2*c - 3953 + 3947 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*w - 1642 = -132 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -793\/12 - -66. Let x be 2\/1 + (-2)\/2. Is z at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 1. Let d(w) = 3*w**2 - 3*w - 6. Let c(n) = -d(n) - 2*f(n). Calculate c(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.107 - 0.107. Let d(p) = -5*p - 129. Let x be d(-27). Does x = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*3*(6 + -7). Let s(d) = -2*d**3 + 3*d**2 - 6*d - 8. Let l(r) = -r**3 + 2*r**2 - 3*r - 4. Let b(q) = t*s(q) - 5*l(q). Does 13 divide b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 3 - -2)*-4. Sort n, -2, 71.\nAnswer: n, -2, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35, -159, -369, -659, -1023, -1455, -1949?\n\"Answer: c**3 - 49*c**2 + 16*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, n: 12}. Give prob of sequence na.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159508 is divided by 2283.\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*t + 6*t + 40 = 0. Solve -l = 22 - t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -13. Let g be l\/((4\/(-4))\/1). Calculate the greatest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 3336519 and 3336529 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(627) + sqrt(627) + sqrt(627) + (sqrt(627) - sqrt(627)*-2*-1) + sqrt(627))\/sqrt(11))\/((1*sqrt(729))\/sqrt(3))*4.\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or 48812?\nAnswer: 48812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - y**2 + 3. Let d(c) = -3*c**3 + 6*c**2 - 9*c + 6. Let j(g) = d(g) - 2*v(g). Solve j(l) = 0 for l.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 2835*k**2 + 20030*k - 34440.\nAnswer: -5*(k - 4)*(k - 3)*(k + 574)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)*m)**1*(m\/m**(-2\/23)*m)\/m**(-2\/3) assuming m is positive.\nAnswer: m**(1951\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p + 21. Let y(z) be the second derivative of z**3\/3 + 7*z**2 - 108871*z. Let o be (-4)\/(-22) + (-53)\/(-11). What is o*i(r) - 7*y(r)?\nAnswer: r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.202? (a) 0.4 (b) 31 (c) -22\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29345 + 29345 + 798*v - 88031 + 29343.\nAnswer: 798*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 + 1 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 6 = 50. Let c(l) = 3*l + 1. Let j(s) = 7*s + 2. Let t(v) = 9*c(v) - 4*j(v). Give t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 1314.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64441.8 months to decades.\nAnswer: 537.015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*l + 5*l + 12685, f - l - 4229 = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 89546 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 2 + 2)*(5 - 1 - 2) - 1 - 2*g + 1 + (2 - 1 + 0)*(0*g + 2*g - 4*g) + g - 3*g + g as p + t*g and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3284 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(1377) + sqrt(1377)) - (-1*sqrt(1377)*2 + sqrt(1377))**2.\nAnswer: -1377 - 81*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 123 = -38*i. Suppose -3*x = -7*x + 88. Calculate the remainder when i + -2 + 4900\/25 is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5098589*y + 5098589*y - 5 - 842*y**2.\nAnswer: -842*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u**2 + 14*u**2 + 10*u**2)*(u**2 - 2*u**2 + 5*u**2).\nAnswer: 60*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -21*o**2 - o + 2. Suppose 2 - 4 = z. Let h be q(z). Let d = h - -186. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -98*k**2. Let l(o) = -1837*o**2 + 3661*o**2 - 1837*o**2. Give w(l(t)).\nAnswer: -16562*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 208 - 71. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2\/3, -15, 12, 0.0097, -25, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(24\/39) - (-1)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6514764439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**10)**32*p**21\/(p**(-24)*p))**35 assuming p is positive.\nAnswer: p**12740","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*a = 3*n - 191*a + 7, 4*a = 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114228157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2417913 is divided by 15400?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j + 9*j - 4*j)*(322*j + 243*j - 777*j).\nAnswer: -1060*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 764.6493 years to months.\nAnswer: 9175.7916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1, 14, -11, 4, -2, -33 in ascending order.\nAnswer: -33, -11, -2, 1, 4, 14, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + b - 30760. What is p(175)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -36*o**2 - o - 2. Determine c(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 21*a - 140. Suppose -4*y + a*o = -28051, -4*o - 35057 = 51*y - 56*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**2*s**3 - 23*a**2 + a*s**3 + 59*a*s + 2*a + 3*s**3 wrt a.\nAnswer: 14*s**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 935*i**3 - 4 + 2 - 470*i**3 - 482*i**3 + i**2 - 5*i**4 as f*i**2 + v*i + m*i**4 + d*i**3 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4\/6 - q. Let p(c) = 35 + 5*c - 4*c - 35. Let x(h) = -6*h. Let d(w) = -5*p(w) - x(w). Calculate d(i(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/5*s**2 + 0 - 54\/5*s - 3\/5*s**3.\nAnswer: -3*s*(s - 6)*(s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 3*f = -16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -749573*q**2. Let x(g) = g. Calculate w(x(i)).\nAnswer: -749573*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 2:16 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let r = -50 - -50.000007. Let g = p - r. Round g to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41615*l - 41637*l + 88 = 0. Which is the closest to -4? (a) -3\/2 (b) l (c) 9\/2 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.3, 50035 in descending order.\nAnswer: 50035, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*w + 18*w + 25*w + 1.\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*j + j**2 + 2*j + 4*j in the form c*j + v*j**2 + a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*v**2 - 36*v**2 - 1861*v - 1851*v - 1854*v + 5566*v.\nAnswer: -71*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 965844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 30. Let x = 172 + -171.8. Let s = -5743\/15 + 383. What is the fourth smallest value in s, 0.1, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - w + w + 5*w**3 - 111*w**2 + 2*w + 113*w**2. Determine n(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from fyzfipc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -507.\nAnswer: -506.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c6 (base 13) to base 14.\nAnswer: 27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 364 (b) 0 (c) 1\/7 (d) -0.3 (e) 2\/9 (f) 1\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*k - 424 + 47 - 116*k.\nAnswer: -46*k - 377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8*z - 6. Let r(g) be the first derivative of -1\/2*g**2 - g + 16. What is o(m) - 4*r(m)?\nAnswer: -4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1903.2423 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2210 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.29 + 5.79. Let s = -5 + t. Sort -0.5, -2\/19, s in ascending order.\nAnswer: -0.5, -2\/19, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6*d + 20. Let m(w) be the second derivative of -w**5\/20 + w**4\/3 + w**3\/3 - 5*w**2\/2 + 17*w. Let r be m(d). Solve -8*t - 25 = -r*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80252 * -0.05.\nAnswer: -4012.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*c = -282, u + c - 93 = -35. Let m be 3\/5 + u\/(-95). Suppose -2*h + 13 = 5. Put m, 1, h in increasing order.\nAnswer: m, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-6) + 39974\/(-3). List the prime factors of 102\/255 + w\/(-10).\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*v + 33*v + 29*v + 54*v in the form m + a*v and give a.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -6. Suppose 297 = 4*m - f*b, -2*m - 2*m + 302 = -2*b. Let c be (-10)\/(-25) + m\/5. What is the greatest common divisor of 24 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 30 - 20 = 0. Let w be (-15)\/x*(-20)\/(-6). Suppose 2*s = w*s - 198. Calculate the greatest common divisor of s and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4595.724 litres?\nAnswer: 4595724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 + 3*r - 7. Let f be x(6). Let q = 181\/3 + f. Which is the closest to q? (a) 0.2 (b) 2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - -1111?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -768 or -323973\/422?\nAnswer: -768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5 + 20 = 0, -2*s - 4*h = -4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1856 + 55*d**3 + 13*d**3 + 2*d**2 + 71578*d - 71581*d with respect to d.\nAnswer: 204*d**2 + 4*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3701 - 3553. Which is greater: 1340\/9 or i?\nAnswer: 1340\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*d - d. Let p be -3*(2 + 24\/d). Is (-1)\/(1\/p) + 25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 391*p + 45*p**3 + 1442*p + 4480 - 73*p - 650*p**2 = 0.\nAnswer: -14\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 8 + c**2 + 11*c**2 + 3*c**2 + 15*c**2 - 10*c. What is d(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 12*d = s - 3, -3*s - 14 = -4*d + 17 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -21533?\nAnswer: -21533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732 is divided by 76.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luuf when four letters picked without replacement from uuulfrfulufm.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47530 (base 9) to base 2.\nAnswer: 111110000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + 0.3. Let y = 1428 - 1427. Which is the closest to y? (a) -0.1 (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 4207.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 58620.9?\nAnswer: 5862.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13 + 3*j - 15 + 2*j**2 + j**3 - 7*j. Let a(d) = d**2 + 0*d - 2*d**2 + 1 + d. Suppose 5*l - 4*g + 7 = 0, 4*g - 6 - 2 = 4*l. Calculate l*h(n) + 2*a(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -15*c - 229. Give f(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*r - 30, r + 2*o + 229 = 219. Sort -23, r, 26 in increasing order.\nAnswer: -23, r, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*f = 5475 + 1929 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 5*f**2 - 6*f - 6. Let u be (4 - 16)\/2 + 1. What is the units digit of b(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -36*h - 286, 3*x + 2*h + 721 - 869 = 0 for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1542*j + 346. Let k(g) = 386*g + 87. Let o(w) = -9*k(w) + 2*q(w). Let x(f) = -17*f - 4. Determine 4*o(p) - 91*x(p).\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.025 + 0.575. Let a = 0.01 - x. Let l = 0.5486 + a. What is l rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -0.4, -1, 1, -2.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -149880*b + 1948458. Calculate h(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1303*v**3*z**2 - v**2*z**2 + 185*v**2*z + 4*z**2 wrt v.\nAnswer: 7818*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*t**2*y - 8255*t**2 - 69*y with respect to y.\nAnswer: 59*t**2 - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 74 in decreasing order.\nAnswer: 74, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 91*g - 92*g as v + a*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/(62\/(-496)). Solve -4*g - 24 = r*m, -18 = 5*m + 4*g + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 3)*(-2*r**4 + 2*r**2 + 32777147*r - 2 - 32777144*r + 292*r**3 + 0*r**4) to the form x*r**2 + d + l*r + v*r**4 + o*r**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, m: 2, h: 10, i: 1, w: 5}. Give prob of picking 1 l, 2 m, and 1 w.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w + 12275 - 11459 = 0 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 405\/11 + -37. Put p, -2, -1 in decreasing order.\nAnswer: p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386887378 to the power of 1\/2, to the nearest integer?\nAnswer: 19669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -84 (b) 2\/3 (c) -1\/10 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 11*j**2 + 8. Let l be f(11). Let k(q) = -q**3 + 9*q**2 - 8*q + 7. List the prime factors of k(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -41*k**8\/28 + 3*k**7\/14 - 31*k**4\/6 - k**3\/3 - k**2\/2 - 2*k + 181. Find the third derivative of q(g) wrt g.\nAnswer: -9840*g**3 + 540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1559.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3 = -5*k. Let t = -124 + 84. What is the common denominator of 17\/3 and (2 - (-76)\/t) + k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 940\/180 + -5 - 11\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -2443?\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17321, 17267, 17213, 17159?\n\"Answer: -54*z + 17375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0*h)**(-33)\/(h\/((h**1\/h)\/h))**44*((h*h**(-8)*h)\/h**(1\/2))**(2\/11) assuming h is positive.\nAnswer: h**(-1707\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -235 - -235.242. Let v = -0.142 + k. Suppose 12 + 0 = -3*z. What is the smallest value in 1\/5, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 1.1. Let c = 0.07 + -3.07. Let j = 0.08 + 2.92. Put q, j, c in ascending order.\nAnswer: c, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-6 - (7 - 7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-64)\/10)*8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8212200 rounded to the nearest one hundred thousand?\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -26*s**2 + 86*s - 2. Calculate the remainder when 263 is divided by k(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30135655 (base 7) to base 15\nAnswer: 344b5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174 - 226*q**2 - 174 + (5*q**2 - 2*q**2 - 2*q**2)*(2 + 3 - 3) + 6 - 6 - 9*q**2 to n*q + m + x*q**2 and give x.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4 + 3*l**2 - 20*l**2 - 18. Let k(x) be the third derivative of 0*x**4 + 26*x**2 + 11\/60*x**5 + 0 + 0*x + 3\/2*x**3. Give 5*g(y) + 8*k(y).\nAnswer: 3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/27)\/(9\/315*(-4)\/6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 90\/35 - 1\/35?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4*(-2)\/5. Let i = -956408 + 956408.03. Put y, -3\/2, i in descending order.\nAnswer: i, y, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*2\/4 + -109. Let g = y + 169. Suppose -2*m - 5*w + g = 15, -w = 5*m - 156. Calculate the greatest common divisor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*((sqrt(84) + (1*sqrt(84)*2 - sqrt(84)))\/(sqrt(12)*1*1) - (1 + (3 + (sqrt(7) + (sqrt(7) - (1 + sqrt(7))) - sqrt(7)) - 1*sqrt(7)*-1)))**2.\nAnswer: -144*sqrt(7) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 420, 3307, 10944, 25707, 49972, 86115, 136512?\nAnswer: 203539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v**5\/11 - 24*v**4\/11 + 2406*v**3\/11 - 10644*v**2\/11 + 5256*v\/11 + 3024\/11 = 0.\nAnswer: -14, -1\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 48 - 36. Suppose -q = 3*s - 5*c + 12, 3*s - 2*c = -1. Solve -4*b - 3*h = 3, 8*b = s*b - 5*h - 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -58, -6\/53, 0.5, 331?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 10, -3*d - q + 32 = -5*q. Let y(g) = -7*g**2 + 4*g + 6. Let f(r) = r**3 + 8*r**2 - 5*r - 7. Give d*f(l) + 5*y(l).\nAnswer: 4*l**3 - 3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.31504 centimeters in kilometers?\nAnswer: 0.0001731504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -s - 10. Suppose s + 8 = 3*o. What is the first derivative of -7*b**2 + 3 + 0 - 3 + o wrt b?\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 39522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48 + 4*w - 49 + 100)*(3*w**2 + 3*w**2 - 2*w**2) to the form f + u*w**2 + v*w**3 + r*w and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a + 6. Let r be c(-6). Let j be -6*r\/4 - -1. Suppose -5*w = -d - 78, 4*d = 3*w + 3*d - j. What is the smallest common multiple of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 - -109 - -49 - -102?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4735214373861\nAnswer: -4735214373859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*t - 4 + 25, 5*t = 2*o + 3. Suppose -38 = -2*h - 26. What is the lowest common multiple of h and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 0*y**2 + 513*y + 99*y**3 + y**4 - 516*y + 18*y**3 + 0*y**2 in the form d + n*y**2 + p*y + s*y**4 + i*y**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11810454 divided by 32269\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z + 17*z**2 + 93 + 7*z + 15*z**2 - 89 wrt z.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/666210 and -64\/2385.\nAnswer: 1998630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -16 + (10 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1504525 (base 8) to base 13\nAnswer: 11cc9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 - -10434110?\nAnswer: 10433434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 5*w + 38. Let p = -22 + w. 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 the third derivative of 1810920*a**4 - 23*a**2 + 4*a + 199 wrt a?\nAnswer: 43462080*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r**2 - 1203*r + 4. Let i(j) = -7*j**2 - 1195*j + 6. Calculate -2*i(n) + 3*q(n).\nAnswer: -4*n**2 - 1219*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 59*y - 3. Suppose -6*w + 2*w - 44 = -4*u, 0 = 8*w + 48. Let q(n) = -29*n - 1. Calculate u*q(m) - 2*p(m).\nAnswer: -2*m**2 - 27*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003361 to 6 decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*u - 2*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190 - 205 - 170 + 656 + 12*l.\nAnswer: 12*l + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 3*v**2 + v**2)*(4 + v**2 + 423*v - 892*v + 558*v).\nAnswer: -v**4 - 89*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(6*sqrt(64)))**2 + -1 - (-1 + sqrt(1900) + -3)**2*-1.\nAnswer: -80*sqrt(19) + 1103059\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**5\/40 - h**4\/24 + h**3\/12 + h**2\/4 - 4*h. Suppose b(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 8:48 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 2*q**2 - 4*q - 3. Let g(p) = -4*p**3 - 6*p**2 - 13*p - 10. Let o(f) = -7*d(f) + 2*g(f). Determine o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 18. Which is the second biggest value? (a) 5 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 40956790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 527.5 + -470.89. Let j = a + -57. Let t = 0.39 + j. What is the closest to t in 3\/5, 5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 13*w. Let j(c) = c**2 - 3*c. What is 9*j(r) - 2*y(r)?\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:34 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183591 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5436 + -5436.08. What is the nearest to -0.07 in 2, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 14 = 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, 1\/4, -2\/5, -1 in decreasing order.\nAnswer: 1\/4, -0.16, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + 3\/((-3)\/(-12)*-3). Solve 0 = -s - 4*s + 3*t + 7, -4 = -x*s + 2*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 5*l**3 - 4*l**3 - 7*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (16 - -26) + -45\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8655 = 112*q - 107*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -184 - -385. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 19*i = 8100. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, 8, -1, -2\/3, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8540 by -1708.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/9 - 863344*r\/9 + 186340715584\/9 = 0. What is r?\nAnswer: 431672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 53*z**2\/2 - 2679. Let q(b) = -56*b. Determine j(q(k)).\nAnswer: -2968*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 404\/2007 + -1333\/53520. What is the common denominator of q and -79\/6?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12433270 (base 8) to base 2.\nAnswer: -1010100011011010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 38 (b) 0.17 (c) -3\/8 (d) 1\/5 (e) 3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1274.35 and -3888.\nAnswer: -4954672.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 9*a = -5*c + 5260, -2*a - 2108 = -4*c. What is a rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 7126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l = 14*l - 10165312 + 337512. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r - 436 = -5*r - 212 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14213370 take away 12?\nAnswer: 14213358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -85*d**2 + 4845*d - 2. Calculate w(57).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let o = -0.61 + 0.21. What is the closest to 1 in o, s, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, j: 6, q: 3, v: 2}. What is prob of picking 1 e and 1 q?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-164091.\nAnswer: -49227.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-416)\/11 + -1047 + 1085?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16871616.\nAnswer: 2, 3, 17, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 1. Let j(v) = 12*v - 18. Determine j(a) - 15*n(a).\nAnswer: -3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1281012652 rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45705 + -4630764.\nAnswer: -4585059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 120?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3064601 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.9*0.038.\nAnswer: -0.1102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -383182 - 8414307.\nAnswer: -8797489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8\/5)*o*o**(1\/2)\/o)\/(o**(-1))**(-3) assuming o is positive.\nAnswer: o**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 324*i. Let f(u) = -4*u**2 + u. Determine f(h(m)).\nAnswer: -419904*m**2 + 324*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1003884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let u(f) = 2*f**2 - 2*f. Let h = 11 - 9. Let p(v) = h*t(v) + u(v). Let z(w) = 8*w. Determine z(p(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -112*f**2 - 154*f - 64. Let i(n) = 7*n + 7*n**2 + 9 + 10*n**2 + 15*n - n**2. Let b(t) = 6*h(t) + 44*i(t). Determine r, given that b(r) = 0.\nAnswer: -1, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.91. Let x = -15.1904 - -15.1. Let y = u - x. What is y rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 47\/42, 0.3 in ascending order.\nAnswer: 0.3, 47\/42, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5240896 - -5240856.00027. Let t = u + 40. Round t to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -44*p + 444. Let h be d(10). Solve 4*m - 5*z - 22 = 0, h*m - 14 = 2*m + 4*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71582069*g**3 - 115176767*g wrt g?\nAnswer: -429492414*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*j - 3*m = 84*j - 36, -4*j - 4*m = 16 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**9)**17\/(l\/(l*l*l**(4\/3)*l))**(-1\/3))**(-1\/37) assuming l is positive.\nAnswer: l**(-1520\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(-4 - (-104)\/28). Suppose c + 5*o - 12 = o, 0 = a*o. Suppose -3*f = -60 - c. Calculate the remainder when 43 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 7*m**4\/2 + 5*m**2 + 12. Find the second derivative of h(z) wrt z.\nAnswer: 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-1\/11)*p*((p**(1\/6)\/p)\/p)\/p*p**(-2)*p**(4\/3)*(((p\/(p\/p**1*p))\/p)\/(p**(3\/2)\/p))\/(p**(-1\/2))**(-2\/85) assuming p is positive.\nAnswer: p**(-2901\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - h)*(112*h + 24946*h**2 + 4 - 2 - 24936*h**2).\nAnswer: -10*h**3 - 112*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -15668*(-4)\/16 - (7 + -6 + 7)?\nAnswer: 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 584.8673 weeks?\nAnswer: 353727743.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-3)*8\/(-28))\/(2310\/154).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 10*q**2 + q - 10. Let c be m(10). Let z be (-91)\/260 + 3\/5. Factor 1\/4*p**3 + c + 0*p + z*p**2.\nAnswer: p**2*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**3\/6 - 2*r**2. Let c(k) = 3*k**3 + 5. Let y = -124 - -70. Let u = 49 + y. Calculate u*t(d) + c(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 1, g: 4}. What is prob of picking 1 n and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1439153222 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1711 * -5\nAnswer: 8555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4 = 2*v - 6, -5*v = t - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvhvq. What is prob of picking 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.9 + 18.9. What is the biggest value in -1, h, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*y + 54*y + 6288 = 0. Is y < 532\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111013010 (base 4) in base 10?\nAnswer: -86468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) 30 (b) 0.11 (c) -1\/5 (d) -1\/3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -77 (b) 1\/7 (c) 15.51349\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*z + 77 + 759, 4*z = -m - 189. Let j = m - -1766. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 31920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3747 (b) -6 (c) -86 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 765 - 760. Let a(u) = 26*u - 52. Let c be a(2). What is the fourth biggest value in c, -3, g, 0.26?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 11 = g - 14, m = 4*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k = -35*k + 24*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 72 + 1 - 13 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 763426 to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 12*m**2 + 169915*m + 679463. Determine n(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**5 - 6*j**5 + 2*j**5)*(34 - 9 + 7) + (-4*j**5 + 5*j**5 + j**5)*(0 - 3 + 0).\nAnswer: -102*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.216 times -1.5?\nAnswer: -40.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*(94 + 42\/(-21) + 1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1001)\/(-66) - (-2)\/(-12). Solve 3 - v = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 5:48 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 86. Solve y - 6 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 8\/(-4) - -182. Let r = -123 + v. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 440*p - 1. Let l(r) = -r. Determine l(a(b)).\nAnswer: -440*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132506 - 172787803\/1304. What is the common denominator of -55\/14 and m?\nAnswer: 9128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x + 9933 - 9931 - 6*x)*(-1 + x + 1) - 39*x + 0 + 1 - 1143*x**2 + 1145*x**2.\nAnswer: -15*x**2 - 37*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*s + 9*s = 39, 0 = -s + 4. Let j(t) = 19 - 7*t - x. Let l(m) be the second derivative of -m**3\/6 - 8*m. Determine j(l(b)).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u = -5. Let h = -6 + 2.5. Let t = -3 - h. Which is the nearest to 7? (a) t (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -13*m**4\/2 - 16*m**3\/3 + 759. What is the third derivative of l(d) wrt d?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -20 - (1 + -1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(1*2\/(-856)). Let a = -7685 - k. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 85542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9164 is divided by 288.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 144*o - 256. Let r(a) = -2*a + 1. Let i(f) = -l(f) + 5*r(f). Differentiate i(p) wrt p.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6849023.\nAnswer: 239, 28657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 2111 + 2473. Let r = 1005 - k. Is 27 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 3*v**5\/10 + v**4\/12 - v**3\/6 + 18*v**2. Is c(-2) 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 2:36 AM and 11:48 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73094 by -36547.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 15*u + 100. Let w(f) = -f - 10. Let n be w(-20). What is the tens digit of x(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 1. Let y be 9 - (-2)\/(4\/(-2)). Is r(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1 + 1)\/(-3))\/(-2). Let a = 4919 + -2560. Suppose 5*t = -j + 3937, 3*t - j = -c*j + a. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -17. Suppose -2*o - 3*o = -c. Suppose w - 45 = -n - 0*n, 219 = o*n + 3*w. What is the greatest common factor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1. Let a(j) = -2*j - 2. Let g(z) = 1. Let c(s) = -a(s) - 4*g(s). What is -c(u) - 2*i(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byybyy. Give prob of picking 2 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/7, 0, 0.18, 12\/17, -3 in descending order.\nAnswer: 12\/17, 0.3, 0.18, 0, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3958692*w**2 + 2*w - 3958692*w**2 + 1179*w**3 + 1218 wrt w.\nAnswer: 7074*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 7 + 14 = 0. Suppose 2*j = -z, -2*j + l*j + 15 = z. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 24. Let x be j(11). Solve -x*u + 0 + 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*c**4 - 1520*c + 1520*c + 16*c**2)*(4 - 2 + 0).\nAnswer: -42*c**4 + 32*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2330, 4677, 7040, 9419, 11814, 14225, 16652?\n\"Answer: 8*q**2 + 2323*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 2*s. Let u be f(-2). Suppose -5*l + y - u = 0, 2*l - 4*y + 4 + 12 = 0. Solve l = n + 2 + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Suppose -r + c + 6 = a, -4*r - 11 + 30 = c. Let s = 11 - r. Solve -s = l + 3*j, l + 6 = 5*l - 3*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/9 - 190*c\/3 + 4088\/9.\nAnswer: -2*(c - 7)*(c + 292)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1700488 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.328001512 - 16.328. What is s rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.172 (c) 2\/23 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 4007078.\nAnswer: -4007083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l + 4*l + (14*l - 20*l + 16*l)*(-1 + 2 + 1) + 6*l - 3*l - l.\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1101413400 (base 5) to base 13\nAnswer: 651137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2659160 is divided by 26860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 23*z + 5. Let t(f) = -23*f - 4. Let g(a) = -3*l(a) - 4*t(a). Calculate g(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.3, -88, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128584 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107.3 + -33.7. Let u = -141.00163 - k. Round u to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 2*f**7\/735 - 17*f**6\/42 - 87*f**5\/35 - 263*f**4\/42 - 176*f**3\/21 + 1442*f**2. Factor i(n).\nAnswer: 4*(n - 88)*(n + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/23 (b) 348 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b - 70*b = -93. Let l(d) = -13*d**3 + 3*d**2 + 2*d - 1. Let n(a) = a**3 - a**2. Let q(y) = -l(y) - 5*n(y). Determine q(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -111537*f + 237*f**4 + 397*f**5 + 6078*f**3 + 46170*f**2 + 59049 + 385*f**5 - 779*f**5.\nAnswer: 3*(f - 1)**2*(f + 27)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -v, 3*v + 19 = 5*m - v. Suppose 0 = m*l - 8*l + 340. Suppose 0*w = -5*c - 4*w + 197, 2*c = 2*w + l. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**13\/t)\/(t\/t**(-6\/7)*t)*t**(-1\/15)*t**(1\/13) assuming t is positive.\nAnswer: t**(12494\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2496060*n**2 + 2496060*n**2 + 57*n**3.\nAnswer: 57*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 - 11) - -20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 85272.14ng?\nAnswer: 0.08527214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24427 is divided by 23666.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - sqrt(78)*-1)*-5)\/((sqrt(72)*-2 + sqrt(72))\/sqrt(12) - sqrt(6)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzmp when four letters picked without replacement from {p: 5, x: 2, m: 2, z: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -18*x**2 - 27*x - 7. Let u(g) = -19*g**2 - 32*g - 6. What is 6*t(z) - 5*u(z)?\nAnswer: -13*z**2 - 2*z - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/24)\/((-102)\/(-1224))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 11 = -f - 4*i, -i + 11 = -5*f. Let p be (-8)\/f*(-117)\/(-12). Suppose -c - c = -p. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.888 + -5.112. Let g = -3.07 - -0.07. Sort d, g, 0.4 in increasing order.\nAnswer: d, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/6*(-2)\/7. Suppose 0 + 8 = -4*u. Is h < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-45)*25\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6176.8799 + 6142. Let n = q + 34.9. What is n rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2. Let t(g) be the third derivative of g**2 + 0*g + 1 + 0*g**3 - 1\/6*g**4. What is t(j(a))?\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*d + 5261, 19*f = -4*d + 23*f + 7036. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - 1*sqrt(1944)) + sqrt(24) + -4*sqrt(384))\/(sqrt(120)\/(sqrt(30)\/sqrt(3)) + sqrt(48)*5).\nAnswer: -23*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114.71 + -114.81. Let a = 6.3 + -1.3. Put a, 2\/3, m in decreasing order.\nAnswer: a, 2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -847*a + 842*a - 90 = -5*y, -a = 5*y - 66. Solve y*j = -8*j + 88 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by 6.\nAnswer: 85\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, -15, -460.\nAnswer: -460, -15, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 - 212. Let a = h + -57. Let j = a - -1251. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17396 + -17396.4. What is the nearest to x in 0.06, 3\/7, 0.5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 417 - 404. Solve -16*p - 3 = -y*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599 = 53*a + 1215 + 1027 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-420)*-60 + (-2)\/(-5)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**2 - 4*m - 6. Let f be n(3). Suppose -f*r + 28*r + 96 = 0. Calculate the lowest common multiple of 16 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/7 + 94*d**2\/7 + 176*d + 2904\/7.\nAnswer: 2*(d + 3)*(d + 22)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 777654100 to the nearest 1000000.\nAnswer: 778000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1142 and -3480.2.\nAnswer: 3974388.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o = 20*o + 240. Let t = 18 + 12. What is the greatest common divisor of t and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -2198.\nAnswer: -2198, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232071?\nAnswer: 3, 7, 43, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3057 (b) -1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -4, 12485 in descending order.\nAnswer: 12485, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 25127687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44160\/2496 + 3\/((-117)\/(-12))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100001 (base 2) in base 3?\nAnswer: -101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18485574 divided by -9066.\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1556 or 1551?\nAnswer: 1556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -5*y**7\/42 + y**6\/60 - y**5\/6 + y**2 + 11. Find the third derivative of h(k) wrt k.\nAnswer: -600*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 - o + 1. Let u be k(-1). Suppose -4*m + 28 = 3*z, m + 0*z + 16 = u*z. Let f be (m - (-45)\/(-10))*0. Solve 0 = -5*y - f - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.5, 0.06, -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o + 0*o - 5*o)*(4*o + o**3 - 4*o) + 0 + o**4 + 0 + (-o**2 + o**2 + 2*o**4)*(0 + 0 - 10).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u - 2*u + 2*u + (-u + 2*u + 0*u)*(2 - 3 - 2).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1647*f - 53219 + 14586 = 7166*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4 - 23970*a**3 + 47832111*a**2 + 191616180*a + 191712108 = 0. What is a?\nAnswer: -2, 3997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, d: 5, w: 2, o: 5, n: 1, j: 1}. What is prob of picking 1 o and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(85)*-2 + sqrt(85) - 6*sqrt(85)*2)\/(-4*(sqrt(80) - sqrt(80)*3) - sqrt(80) - sqrt(80)).\nAnswer: -23*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/234 and -53\/286?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 62727 = -483*m - 1669*m for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1)*t*t**0)\/(t**5\/(t*(t\/t**(2\/3))\/t)) assuming t is positive.\nAnswer: t**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**2\/2 + 10*n + 6. Calculate m(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 28. Suppose -s - n*s - 1592 = 0. Let w = -117 - s. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 6:17 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 2) + 40 + -52 + -27 + 8?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27733531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5 and 117992 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27369516 to the power of 1\/2, to the nearest integer?\nAnswer: 5232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 724*w**2 + 11*w - 632. Let y(o) = 724*o**2 + 13*o - 634. Let g(n) = -6*t(n) + 5*y(n). Find the second derivative of g(u) wrt u.\nAnswer: -1448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3130*v**2 - 2*v - 1774.\nAnswer: -6260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8bde + -a?\nAnswer: -8be9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10*(1 - (0 + 5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 5*x + 2100, -2 - 3 = -5*x. Let s = -4147\/10 - v. Let i = -502\/5 - -8277\/80. What is the common denominator of i and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 214*n**4 - 428*n**4 + 211*n**4 - 2*n**2 - 1 to the form r*n**4 + w*n + u*n**3 + i + m*n**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/12 and -23\/384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o*p**2*r - 6*o*p*r - 122*o*r - o + 10*p**2 + r wrt p?\nAnswer: 4*o*p*r - 6*o*r + 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (2 - 1)) + (-21 + -3 + 31 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5701 - 2294. What are the prime factors of q?\nAnswer: 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*i**3 + 2\/9 - 2\/9*i - 2\/9*i**2.\nAnswer: 2*(i - 1)**2*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -303?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*1*(-5)\/10. Let g be m\/(-6) - 25\/(-15). Suppose o = -g*p + 81, -96 = -3*p + p - 4*o. What is the remainder when p is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 982483 and 8897.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10111123101 - -3?\nAnswer: 10111123110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9930.67499945 + 9930.895. Let l = 767 + -766.78. Let r = l - p. What is r rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 15053?\nAnswer: 15052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(2*sqrt(99) + sqrt(99)))\/sqrt(9) - (-2 + -5 + -3*sqrt(11)))**2.\nAnswer: 294*sqrt(11) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*x**3 + 218*x**2 - 102619*x + 147096091.\nAnswer: -9*x**2 + 436*x - 102619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 41998 divided by -253\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 12*q + 94. Let i be u(5). Suppose 0 = 6*z - i*z + 1107. What are the prime factors of z?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2. Let u be 2\/(-4) - (-49)\/14. What is the units digit of u + 2 - (-1 - a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/37)*x**(2\/57))\/((x*x**(-2\/69)*x*x)\/(x\/x**(-15)*x)) assuming x is positive.\nAnswer: x**(227839\/16169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 49, 80, 133, 214?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*sqrt(448)*4 - (-3 + sqrt(448))*-4) + -4)**2.\nAnswer: -14336*sqrt(7) + 459536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 12:17 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**7\/105 + l**6\/60 - l**5\/30 - l**4\/12 + l**2 - 3. Let y(g) be the second derivative of h(g). Find t such that y(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 506378 and 846?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i - i**2 - 79 + 15*i.\nAnswer: -i**2 - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -328411.34 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Suppose 3 = 4*r - 13. Suppose -8 = -k*m - r*m. Solve -m*v - v = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5445.81384 + 5446. What is y rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.48 times 5?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 2*d**2 - 3*d + 2. Suppose 8 + 2 = 2*c + m, -3*c - 5*m = -29. What is t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12320 - 1?\nAnswer: -12321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q + 20 - q + 4*q - 6*q. What is the remainder when 38 is divided by r(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(104)*-6 + -3*sqrt(104)*-1))\/(sqrt(72)*-1*5 - (sqrt(72) + 6*(sqrt(72) + 1*sqrt(72)) - sqrt(72) - sqrt(72))).\nAnswer: 9*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**8*o)\/o)\/(o\/(o\/(o*o**(-2\/9)\/o)*o)))**(-10\/11) assuming o is positive.\nAnswer: o**(-920\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 10:17 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 1573253 - 1573253.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -143 + 34?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(192) + 0 + sqrt(192) - sqrt(192)) + -2 + sqrt(192)*-1 + sqrt(192) + 0 + (sqrt(162)\/(sqrt(12)\/sqrt(2)))\/((1*sqrt(18))\/sqrt(2)).\nAnswer: 1 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d - 4*w = -8, -4*w + 10 = 2*d. Let r be (-2 - (-24)\/16)\/(1\/(-24)). Let s be 1*d*(-24)\/r. Solve 0 = s*u + 4 - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 719a + 4?\nAnswer: 71a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 39499.8 to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = p - 4*x, -2*x + 4 = 2*p - 3*x. Calculate the highest common divisor of 9 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96570311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let a(n) = -n - 4983. Calculate a(f(w)).\nAnswer: -w - 4983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 6*k - 3*k = 185, 0 = 5*n + 2*k - 977. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4560385657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-44))\/(633\/(-2532)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 65 = 5*a, -l = -5*a + 3*a - 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**4 - 9860*g**3 - 8098344*g**2 - 2213540784*g + 2221648992 = 0.\nAnswer: -822, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 6:22 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 11) to base 6\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -5*r - 253499975. Suppose -13*h + 3*h + 30 = 0. Let u be -1 - (r\/(-3) - (-2)\/h). Round u to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 8*z - 6 + 1 + 3. Suppose -t + 2*a - 8 = -3*a, -4*a + 16 = 0. Calculate the least common multiple of t and k(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + h - 1. Let i(v) = 10*v**2 - 3*v + 2. Determine i(q) + 3*k(q).\nAnswer: 13*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + 67*m**2 + 4*m - 77. Let s(c) = c**3 - 33*c**2 - 2*c + 40. Let d(p) = -9*s(p) - 4*z(p). Determine d(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a - 6*a + 11*a)*(0 + 1 - 2)*(5*a**2 + 0*a**2 - 3*a**2).\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, m: 9, h: 2, x: 1}. What is prob of sequence mhax?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2275\/3 or -63?\nAnswer: 2275\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -7. Solve -2*b = 3 - g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1147692 is divided by 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 - -205. Calculate the remainder when u is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 218, 215, -22, -487, -1174, -2077, -3190?\n\"Answer: i**3 - 123*i**2 + 359*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14 - 24*m - 3*m - 42*m - 26 wrt m.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/8418228 and -163\/5180448?\nAnswer: 67345824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/5*(-50)\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.3 (b) 10.1 (c) -108.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i. Let g(u) = -15372*u**2 - 117. Let r(w) = -265*w**2 - 2. Let x(o) = -2*g(o) + 117*r(o). What is y(x(s))?\nAnswer: 261*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15884444.\nAnswer: 2, 23, 172657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g + 3*g = 0. Let i be 147\/(-37) - (-11 + 7). Which is smaller: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 880*w - 17 - 59*w**2 - 877*w to b*w**2 + u + d*w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 + u**2 - 43*u**3 - 1 + 25*u**3 + u + 20*u**3 - 7*u**2. Let d(v) = v**2 + v. Let t be d(-2). Give o(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3334 and -3330 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38642 and 278?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318360756 take away 0.0024?\nAnswer: 318360755.9976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1808*v**3 - 110*v - 3*v**4 + v**2 - 34*v + 1806*v**3 - 2*v**2 - 24*v as t*v**3 + g*v + y*v**2 + h + r*v**4 and give g.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u + 4. Let t = 25 + -18. Is c(t) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3561 - -1?\nAnswer: 3562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2002010002120 (base 3) to base 6\nAnswer: 35401240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) + 28\/(-95). Suppose 0 = 2*u - 3*b + 5*b, 5*u + 4*b = 0. Suppose -4*o + 7 = -13, u = 2*s - 3*o + 15. Which is bigger: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8*j + 531824 = 3738100. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5 - 4.52.\nAnswer: -3.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000 - 2000112?\nAnswer: -1220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*z + 93*z = 3*l + 8, -2*l - 3*z - 24 = 0. Suppose -n + 5*n - 28 = 0. Put n, l, -1, 0.5 in descending order.\nAnswer: n, 0.5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1114*t + 516*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -6. Let l(n) = 3 - 29*n + 0*n**3 + 4*n**3 + 26*n - 5*n**2. Let j(y) = y**3 - y**2 + 1. Give z*j(u) + l(u).\nAnswer: -u**3 - 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121101200120122 (base 3) to base 12.\nAnswer: 2b025b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 less than 213?\nAnswer: 213.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4455898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(5*(sqrt(1377) - (sqrt(1377) + sqrt(1377)*3)) + ((sqrt(1377) - (sqrt(1377) + 0)) + 1 - sqrt(1377))))**2.\nAnswer: -288*sqrt(17) + 352513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11712 by 2928.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 5*q - 6. Let d be n(5). Let w(x) = -x**3 - 7*x**2 - 6*x. Let j be w(d). Let l = 181 + -176. Sort j, 4, l in decreasing order.\nAnswer: l, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8*(7 - 15). Suppose x + 2*g - 42 = -x, h*x - 57 = g. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 57634\/11?\nAnswer: 57634\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by (-5)\/(35\/56)*11\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21112)\/1740*(-570)\/133\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2 (c) -5 (d) -731\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19342179*0.4\nAnswer: 7736871.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1250464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 12:59 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2149.324 - -2107.8. Let y = 0.545 + 0.079. Let b = y + l. Round b to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 14 - (-4 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 298\/(-8) + 1 - -1. Let t = q - -35. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2 + 2)*(2*o**3 + 4*o**3 - 5*o**3) + (3*o**5 + 6*o**5 - 3*o**5)*(-2 + 1 + 2) + o**5 + 4 - 4.\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 62*h + 1187 = -649. Solve h*j - 18*j - 54 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**35*((m**(10\/13)\/m)\/m)\/m)**(-26))**(-29) assuming m is positive.\nAnswer: m**25462","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(10 + (-7524)\/(-55)) 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 13179 and 2524641.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x\/(x**(-4)\/x*x)*x)\/x**(3\/7)*x**(-1\/10)*x\/(x*x**(1\/5)))**(-18\/7))**(-18\/7) assuming x is positive.\nAnswer: x**(82458\/1715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6885 (base 16) to base 10.\nAnswer: -26757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 3*q - 132, 28 = -3*h + 2*q + 45 + 57 + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -0.1, 0.8, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a tonne in kilograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -1 + (-363)\/75. Let q = j - -361\/25. Calculate the common denominator of q and -67\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 632\/88 - (-4)\/(-22). What is the highest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2 + 3 - 412*n + 0 in the form s + d*n and give d.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 3*n + 1. Let j be p(-4). Suppose 0 = -j*w + 3*w + 28. Let r = w + -14. Solve r = i + 2*k - 9, 3*i - 3*k + 28 = 2*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 19 = 29. Suppose -y + r*y - 91 = -2*n, 4*n - 124 = -4*y. Calculate the highest common factor of y and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(119)\/sqrt(7)*2.\nAnswer: 4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**2 + 27*t**2 - 50*t**2 + (2 - 2 - 2*t**2)*(-5 + 0 + 4) to n + o*t**2 + z*t and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**4\/12 - 11*p**3\/6 - 7*p**2\/2 - 4*p. Let w be j(-10). Suppose -w*i = -i - 22. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 2*w**2 + 0*w**2 - 2*w**2 + 8*w**3.\nAnswer: 8*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/4 - 5*k**3\/4 + 33*k**2\/4 - 27*k\/4.\nAnswer: -k*(k - 3)*(k - 1)*(k + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x + 15. Determine i(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) 0.4 (c) -0.85 (d) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, s: 1, c: 3, t: 4, z: 1}. What is prob of sequence si?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 + 112. Let h be 146 + d*20\/8. Suppose 0*f - h = -4*p - 5*f, -49 = -p - 5*f. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 + 0 = 0. Solve v*b - 2 = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44004660999.70001 + -44005405758. Let z = t - -744766. Let b = z + -7.7. What is b rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 3744606*s + 1168506174603.\nAnswer: 3*(s - 624101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.9 - -16.454. Let p = 4.446 + g. Put p, 1\/4, -1, 3 in descending order.\nAnswer: p, 3, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + 13 + -8 + (0 - -11).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 456592 greater than or equal to 456592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1403990 = 3*i - 21*m + 23*m, i - 4*m - 468020 = 0. What is i rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2 - 14*g + 46. Let k(q) = -q**2 - 3*q + 9. Suppose -2*i + 4*t = 16, 9 = 3*i + t - 2. Let y(s) = i*f(s) - 11*k(s). Calculate y(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*u - 2176 = 154*u + 19*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 + -97.1. Let i = 1.3 - -0.2. Let v = i + -1. Sort n, v, -0.4.\nAnswer: -0.4, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -4, -9, 14 in decreasing order.\nAnswer: 14, -1, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)*(r\/((r**5*r)\/r*r))\/r)**(3\/13)\/(r**(-5)\/(r\/((r*r\/r**(-1\/5)*r)\/r)))**(-19) assuming r is positive.\nAnswer: r**(-4828\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*469.5.\nAnswer: 42.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1022 and 2370529.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -28*10.86\nAnswer: -304.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -22. Suppose d - 5*l = 38, 0 = 3*d - j*d + l - 14. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120870 divided by -3?\nAnswer: 40290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34190*b - 35634*b + 71720*b.\nAnswer: 1896*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*q - 6, -q + 0*q + 3*b - 9 = 0. Let z be 2\/6*q*(6 + -5). Let k(v) = v**2 + v - 4. Determine k(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15 - (2 + -1*1). Let r(k) = 11*k**2 - 7*k - 22. Let o be r(-3). Calculate the greatest common factor of o and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.4569213 weeks?\nAnswer: 3.1984491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 + 5754. Let a be b(0). Suppose -3*o + a = -7419. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*b - 2*b - 30, b + 3 = -5*d. Let w be (8 + b)*2\/4. Find the second derivative of 6*z**5 - 9*z - 9*z**5 + w*z**2 + 0*z**2 wrt z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/14 - 116\/28*1. What is the hundreds digit of 5478\/(-15)*(30\/u)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*i - 73*i - 170*i + 2352 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-20) + (-1)\/(-5). Suppose -v - v + 6 = 0, -v + r = p. Let x be 1 - (-1 - 0)*p. Which is bigger: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*h - h - 35, 8 = -4*h. Let w = a + -4. Let s be w - 1 - (-1 + 4). Put -3, s, 7 in increasing order.\nAnswer: -3, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 92 = 4*m, 12 = m + 3*i - 11. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -377*u - 27. Let m(p) = 1514*p + 110. Let w(f) = 2*m(f) + 9*r(f). Suppose -25 = 5*c + 5*v, -5*c = -2*v + 3 + 15. Is w(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -33 - 45*d + 18*d + 31*d**2 - 45 - d**3. Let x be h(30). Solve 5*w = 5*t + 10, -t - 3*t = -2*w + x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130\/(-2275)*((-78)\/(-8))\/((-18)\/60)\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32.79*0.64982\nAnswer: 21.3075978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 303201 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 3. Let y be b(-5). Let x(a) = -a - 4*a**y - 5 + a**2 + a**2. Let w(q) = -3*q**2 - 2*q - 6. Calculate 4*w(i) - 5*x(i).\nAnswer: -2*i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-6 - (0 + -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 5*q**3\/2 + 23*q. Let s(v) = 3*v. What is s(p(m))?\nAnswer: 45*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/2)*g*g**(-7)\/g)\/(g**(1\/4))**(-35) assuming g is positive.\nAnswer: g**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440*w + 1512 = 438*w + 4*j, 2*j = -w - 768. Which is smaller: w or -764?\nAnswer: -764","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 804*b*w**4 - 2*b*w**2 - 36*b + 5 wrt w?\nAnswer: 3216*b*w**3 - 4*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 577, -0.3, -1\/4, -464?\nAnswer: -464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1143.461 + -1657.24. Let g = -514 - f. Round g to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002065 to seven dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 76, -0.4, -0.03, -1, 359?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:57 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*n - 28, -4*n + 5*y + 6 = -6*n. Which is the nearest to 1\/3? (a) n (b) 2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Suppose -c*a + 1413 = -a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1298.328 to the nearest 10.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*w**2 - 516*w**3 + 2963*w**3 + 257*w**2.\nAnswer: 2447*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324*l**4\/13 - 656102*l**3\/13 + 442871550*l**2\/13 - 99647921250*l\/13 + 615093750\/13.\nAnswer: 2*(l - 675)**3*(162*l - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 - 3974*y\/3 + 1324.\nAnswer: 2*(y - 1986)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 65*g**2 + 127*g - 3. Give u(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + 1. Let b be i(-1). Let r = -100 - -114. Let s be 48\/5 + r\/(-315)*-9. Solve -5*f + s = y, 0 = b*f - y - 0*y + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*y = -79*y - 1482 - 603 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.5 * -0.6.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**6\/45 - 4*u**5\/75 + 4*u**3\/45 - u**2\/15 + 30. Solve y(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 + -86.1. Let k = p + -1.9. Sort -4, -5, k.\nAnswer: -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(39)\/sqrt(3)*5.\nAnswer: -25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8 - 1.2. Which is the nearest to -1\/3? (a) -4 (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 12:12 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 611544947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1132, -2173, -2998, -3499, -3568?\n\"Answer: 18*s**3 - 1167*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*z - 11, 2*j - 4 = -3*z + 3. Suppose -7 + 19 = z*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*b - 1)*(-15*b**2 + 0*b**4 - 3*b**4 + b**4).\nAnswer: 4*b**5 + 30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5200004*q**4 + 819*q**2 + 6*q + 6?\nAnswer: -124800096*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 16, -3*a - 406*u + 407*u = -21724. What is the remainder when a is divided by 69?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*3\/(-36)*(1 - -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3226 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29516 or 29501?\nAnswer: 29501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 97?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 1642701*c - 1. Let f(b) = 5*b. Calculate p(f(a)).\nAnswer: 25*a**2 - 8213505*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 + 122. Calculate the highest common divisor of 31 and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-144))\/((-6)\/9)*(-9)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/28*(10 - 1780\/30).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 4*n + 39, -6*n + 37 = 8*m - 11*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 1. Let k(j) = 7*j + 4. Let i(x) = k(x) + 6*t(x). Let l be i(5). What is the derivative of l*w + w - 3*w - 2 wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609206221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:55 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 14*s**3 + 5*s - 5. Let g(y) = -21*y**3 - 7*y + 7. Give 5*g(d) + 7*o(d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(17) + 0)**2 + (3 + sqrt(833))*4.\nAnswer: 30 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 2*a + 7. Determine o(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (63\/28)\/((2 + -4)\/(-8)) and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.7 (b) 2 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1462, -1337, -1212, -1087, -962, -837?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a day in minutes?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.6034 + 1.3966. Let t be 2 - (336\/(-164))\/(-1). Which is the closest to -1? (a) y (b) t (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45.26, 403, -2\/39?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 12:02 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 578935999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -27.25, -0.6, -24, -0.3, 1?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, w: 2}. What is prob of sequence wv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 160594 = -160595, -r + 30 = -7*i for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7227378 - -8565622. Round t to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by 19808\nAnswer: 65\/19808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10793007, 10793005, 10793003, 10793001, 10792999, 10792997?\n\"Answer: -2*x + 10793009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/886 and -95\/18.\nAnswer: 7974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + -12 + 12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-63)\/5)\/(4\/(-20)). Suppose -4*g - g - 4*v = -73, 0 = -5*g + v + a. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 132 = 25*b. Sort -5, 13, b in descending order.\nAnswer: 13, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.056558 to three dps.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016 minus 0.213516?\nAnswer: -1016.213516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 36. Let q be 39316\/42 - (-10)\/(-105). Let h(j) = -466*j**2 + q*j**2 - 469*j**2. Give a(h(w)).\nAnswer: w**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 57?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1491 is divided by 6 - 16\/(112\/(-21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 3*x + 2. Let r(d) = 4722*d**2 - 2602*d + 48. Let m(s) = -24*c(s) + r(s). What is the second derivative of m(w) wrt w?\nAnswer: 9348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*z**5 - 20*z**4 + 86*z**3 + 2022*z**2 + z?\nAnswer: -360*z**2 - 480*z + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five fourteenths of a week?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*v = 21, -2*v - 309 = -s - 320 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23731.3 + 22185. Let r = -1616.51 - l. Let o = -70 - r. Round o to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10*t + 11*t = -14668, 2*t + 5864 = 2*l. List the prime factors of l.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 2010?\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**5 - 1867356*a**4 - 11204205*a**3 - 24275826*a**2 - 22408476*a - 7469496 = 0.\nAnswer: -2, -1, 622458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o + 22924460 = 14*o. Let g = o - -6402446. What is g rounded to the nearest one hundred thousand?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -12*u**3 - 3*u - 2. Let c be r(-1). Calculate the highest common factor of c and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 + -14679.\nAnswer: -14678.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.46000076 - 2.46. Round i to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 + 2.8. Let s = 24 - 23.89. Let r = s + 3.89. What is the second smallest value in r, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 215 and 0.1.\nAnswer: 21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5\/13 + 662*s**4\/13 + 654*s**3\/13 - 1990*s**2\/13 - 3304*s\/13 - 1320\/13 = 0 for s.\nAnswer: -330, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5604194 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (32 - (0 + 28)) + -6 + 16 + -74\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10392*h*w + 9*h + 180243*w + 6 wrt h?\nAnswer: -10392*w + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**7\/245 + 67*c**6\/420 + 19*c**5\/30 - 143*c**4\/84 - 20*c**3\/7 - c**2 + 21*c - 6. Solve p(u) = 0 for u.\nAnswer: -20, -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7117 - 3?\nAnswer: 7114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-1))\/(-1) + -1. Let l(r) = -7*r**3 + r**2 + 5*r - 3. Let f(g) = 6*g**3 - 4*g + 2. Let p(t) = -6*f(t) - 5*l(t). What is the units digit of p(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 6*s - 500. Let v = -47 + s. What is the remainder when 698\/14 - v*2\/(-42) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/5)*n**(1\/3))\/(n**(-36)*n*n\/(n*n*n*n*((n*n*n*n\/n**(-15)*n*n*n)\/n)\/n*n*n)) assuming n is positive.\nAnswer: n**(914\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4219, 3019, 1031, -1733, -5261, -9541, -14561?\nAnswer: -20309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnxmnmxnx. What is prob of picking 2 m and 2 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4155, -16647, -37467, -66615?\nAnswer: -104091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**2\/2 - 13383*h + 1. Let r be j(0). Let f = r + 3683. Round f to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 38*i**2 + 1442*i + 45. Give q(-38).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401712551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 388649*x - 386823*x - 3652 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*t + 26. Let g(p) be the third derivative of -p**4\/12 - 4*p**3\/3 + p**2 + 130*p. Give g(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - u - 7 = 14, -5*h = -5*u - 25. Suppose 348 = -4*l - 2*y - 350, -701 = 4*l + 3*y. Let c = l + 178. What is the smallest common multiple of h and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71634.927 hours in weeks?\nAnswer: 426.398375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a27484 - -3?\nAnswer: -3a27481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2480 + -2437. Calculate the remainder when 341 is divided by r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and (-110)\/(-16) + 7\/56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37634 is divided by 382.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -163 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-130 - -137) + (-8 - (-4 + 9))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2*j)**(-37)*j\/(j\/(j\/j**(-10)))*((j**(-14)\/j)\/j)\/j)**(-12) assuming j is positive.\nAnswer: j**1404","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 66 = 7*b. Solve 4*v + 5*j - b = 0, -2*v + 5*j - 2 = j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 2, m: 1}. Give prob of sequence wnnm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = 0, 4*g + 24 = 2*v + 8*g. Suppose 2*b + 3 - 15 = 4*h, -16 = v*b. What is the remainder when 4 is divided by 5\/25 + (-14)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, -0.1, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 576 + -178. Let o = v - 399. Which is smaller: o or 2\/165?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.88 and 0.3.\nAnswer: 5.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0778088 decades to years.\nAnswer: 0.778088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -c - 4, 1 - 17 = -5*c + 3*u. Suppose 0 = -2*b - c*b + 28. What is the remainder when 27 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*o**3 + 77*o**2 - 77*o**2 - 2*o**3 - o**3 + 4*o**3 + (-2*o + 5*o - o)*(2 - 2 - o**2) + 43*o**3 - 37*o**3 + 30*o**3.\nAnswer: 26*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 34. Let h(b) = -35. Let a(n) = -3*h(n) - 2*p(n). Let z(c) = 125*c**2 + 116*c**2 + 122*c**2 - 361*c**2. Determine z(a(i)).\nAnswer: 8*i**2 - 296*i + 2738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 - 4*o**3 + 2*o**3)*(1 - o - 1) + 2*o**4 - 2*o**4 - o**4 + (10*o**4 - 3*o**4 - 6*o**4)*(-1 + 0 + 3).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*d**2 - 4*d + d - 28*d**2 to the form w + q*d**2 + s*d and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5911 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from ihiihihhhhh?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**2 + 7. Let w(y) = 5*y**2 + 6. Let t be 0\/(2 + -2 + 2). Suppose t = 3*l + 3*j - 30, 3*j = l + 2 + 4. Determine l*a(n) - 7*w(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 17) + (3 - (-4 - -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 19*n**2 + 45*n - 33. Calculate o(-15).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4412 - 4408. What is the fourth biggest value in -20, g, 1\/6, 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218906 is divided by 222.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.052, 15, -4, 1, 1\/3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 381\/(-2)*(13832\/(-312) + 45)\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*3*sqrt(19)*2 + (5*2*sqrt(95))\/sqrt(5).\nAnswer: -4 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 75 times -0.17\nAnswer: -12.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.5, -5\/8, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:29 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 3. Let a(n) = -5 - 22*n + n**2 + 19*n + 3. Let w be a(p). Solve 0 = 4*q - 3*u + 1, 3*u - w*u = -5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.360942g?\nAnswer: 0.007360942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/26033765 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*c = -2*o + 43, -30*o - 2*c = 30*o - 63*o + 26 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 2. Let l be b(4). Let o = 26 - l. Solve -z = 2*z + o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 28*o + 18. Let t be ((-89)\/(-5))\/1 + 1\/5. List the prime factors of s(t).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369537367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 3:01 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 18. Calculate the remainder when 73 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7344) + sqrt(7344) + (sqrt(7344) - (4*sqrt(7344)*-1 - sqrt(7344)) - sqrt(7344)) + sqrt(7344) + sqrt(7344) + sqrt(7344))\/((6*sqrt(300))\/sqrt(4)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*d - 27256 - 20581, 2*w - 19142 = -d. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**4\/6 + 167*c**3\/6 - 6589*c**2\/6 - 4789*c\/2 + 3465 = 0?\nAnswer: -3, 1, 70, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*x - 103*x + 7744 = -14672 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 - 4*z**3 - 8*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3617534242 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*-100584.3\nAnswer: -100584.3","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1480*l**3 + 1530*l**3 + 2 - 5 + 2.\nAnswer: 50*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-five quarters of a kilometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 574*h - 1104*h + 532*h. Let y(n) = 16*n**2 - 2. Give y(q(v)).\nAnswer: 64*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w + 47*w - 12 = 0. What is the lowest common multiple of (-6)\/(-12) + (-143)\/w and 4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - -1)*14\/14. Let k be s\/((-40)\/(-5)) + -8. Let i(o) = o**3 + 8*o**2 + 6*o + 2. Determine i(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 + -169.1. Round t to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*w - i, -2*w + 12 + 5 = -3*i. Let k be 26\/7 + 4\/14. Put 5, w, k in decreasing order.\nAnswer: 5, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 395 + -366. Suppose -w*i - 64 = -470. Solve 0 = 4*h + 4*d - 0*d - 20, 2*d - i = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 210 * -403734.\nAnswer: -84784140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, -84, -2 in ascending order.\nAnswer: -84, -14, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 1. Let s(c) = -c**2 - 10*c - 16. Let g be s(-8). Sort d, 3, g in ascending order.\nAnswer: g, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 + x**2 - x - 1. Let z(c) = 8*c**3 - 6*c**2 + 3*c + 40. What is 5*k(b) + z(b)?\nAnswer: -2*b**3 - b**2 - 2*b + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 180\/(-324) + 1 + 0. Find r such that 2\/9 + 2\/9*r**2 - k*r = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25203074 by -1938698.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2505694, 5011350, 7517006?\n\"Answer: 2505656*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*sqrt(68) - (2 + sqrt(34)\/sqrt(2))) + sqrt(170)\/((sqrt(20)*1)\/sqrt(2)) + 3)**2*4.\nAnswer: 48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*d + 2*b, 4*b = -4*d + 2*b + 22. Suppose 8 = d*g - 13. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 18. Let j be 6 - 9\/((-324)\/(-240)). What is the closest to j in k, -0.12, 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 45. Let r(v) = -v. Determine -g(k) + r(k).\nAnswer: -3*k - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*((-2)\/8)\/((-3)\/(-4) - 1). Solve 43*n - 42*n = r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -11*l**2 - 124*l - 359. Determine t(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3745 is divided by 925.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 2\/11 (c) -2\/3 (d) 4 (e) 6 (f) -0.3 (g) 9.003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14272 and 80.\nAnswer: 71360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 35*y. Let r be t(0). Solve -20*m + 156 - 56 = r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -24*y - 220. Let s be f(-15). Let j be 6\/s + 29\/290. Factor j*g**2 + 1\/7*g - 6\/7.\nAnswer: (g - 2)*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -25*f + 15680. Is 32 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.537 + 1.537. What is the closest to -3 in l, -0.1, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:59 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 156032\/9 - 61\/(-549). Let w = r - -5890. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - 61 - (2 + (-14 - -5 - -11)) - -135?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 7*y**2 + 1. Let r be q(-7). Suppose 0 = -5*b - r + 26. Let v = b + -4. Which is smaller: 8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(891)*-1*-2)**2 + 1*(sqrt(11) + -1) + sqrt(66)\/sqrt(6)*3.\nAnswer: 76*sqrt(11) + 3567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = o + 5*k, -k + 19 - 3 = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 214363008 and 103312?\nAnswer: 9392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h + 3*h + 6*h)*(-h + h - 2*h).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.5058 - 0.4942. Which is the fifth biggest value? (a) 2\/11 (b) 0.3 (c) -0.01 (d) 4 (e) z\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59206597350 to the nearest 1000000.\nAnswer: -59207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867298659?\nAnswer: 3, 4723, 61211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 143*z**6\/30 + z**5\/20 + z**4\/12 - 11617*z**3\/6 - 16*z + 52. Find the second derivative of i(x) wrt x.\nAnswer: 1716*x**2 + 6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23958\/126 + 3\/(-21). Let f = 256 - k. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 155, 1, 1\/23, 2?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-2*b - 3 + 3)*(-7 - 5*b + 7) - b + b - 2*b**2.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-9)\/w)*w\/(w\/w**26))**(9\/7) assuming w is positive.\nAnswer: w**(342\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from {q: 1, b: 9, x: 6, u: 1, j: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 40\/12)*2*36\/(-4800)*25.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 36*n**2 - 56*n + 4. Let s(k) = 7*k**2 - 11*k + 1. Let m(a) = 3*g(a) - 16*s(a). Factor m(c).\nAnswer: -4*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 2*h**2 + 2*h - 4*h**2)*(0*h - 3*h + 5*h)*(10 - 1 - 21).\nAnswer: 144*h**3 - 48*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-1755)\/24 - 2\/16. Let h = y - -90. What is the remainder when h is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 17*i**3 + 6*i**2 + i + 4. Let k be p(6). Let d = -2241 + k. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 41) + (-2 - 1) - -10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -2*d**6\/15 + 7*d**5\/20 + 31*d**3\/3 - 71*d - 1. Find the second derivative of l(g) wrt g.\nAnswer: -48*g**2 + 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 4:28 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 862 and 120.\nAnswer: 51720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 441173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12067 + -11016. Calculate the remainder when y is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/(-2625))\/((-44)\/(-880))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11632, -23197, -34758, -46315, -57868?\nAnswer: -69417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1010?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -591\/2 - -5949\/20. Find the common denominator of -49\/86 and d.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i + 175. Let d(m) = m**3 - 83*m**2 + 912*m - 111. Let j be d(70). Determine a(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dixfxfq. Give prob of sequence fdf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 u, and 2 s when four letters picked without replacement from ssnuususnssssssnsss?\nAnswer: 117\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -u + 8. Suppose 2*k + u*r = -k - 1053, -k + r - 341 = 0. Let m = -169 - k. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -28*d**2 + d + 1. Let q be c(-1). Let t be ((-49)\/q)\/(2\/8). Suppose t*r = 2*r + 190. What is the remainder when r is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14319.917 and -0.3?\nAnswer: 4295.9751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*w - 131, 0 = -2*b - w + 44 - 133. Let t be 18\/b - (-3598192)\/5. Let z = t + -1249638. What is z rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {c: 1, d: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56 + -2*(-2 - -1). Suppose -6*h + 4*h = -l. Solve 10 = -5*b - 5*a, 0 = 5*b - 2*b - 4*a - h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2407 a factor of 26347022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -0.02 (b) 56 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (7 - 1 - (10 + -9 + 10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 13*t + 11. Let d be -2 - (7 + 2 + 1). Let u be r(d). Let p be (-3)\/(-2) + u\/2. Solve -p = -f, i + 3*f - 2 = -0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + 1.21. Let z = 2.2 - o. Let t = -1 + z. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*k - 23*k - u + 10, 4*k - 2*u - 30 = 0. Suppose 0 = -r + 2*w + 63, 27*w - 25*w = k*r - 339. Solve -10*b - 19 = -r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198*0.02\nAnswer: 3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4737 + -4602. What is the remainder when 502 is divided by z?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30306402*l**3*m**3 - 2*l**3 - 17680755*m**2 wrt m.\nAnswer: -181838412*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 2. Let h = -7 - -5. Let j be t(h). Solve -y = -j*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 + 8. Let c = -357 - -400. Suppose 17*u - c - 93 = 0. Calculate the greatest common divisor of u and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 164974 + 164554 = 25*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**3\/3 - a**2\/2 + a - 744. Let c(m) = m**2 + 9*m - 9. Give 2*c(r) + 18*p(r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23b (base 15) in base 13?\nAnswer: -2cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 136*p - 4028.\nAnswer: 4*(p - 53)*(p + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**4\/7 - 6*n**3 - 165*n**2\/7 - 18*n = 0.\nAnswer: -7, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 110, 249, 452, 725, 1074, 1505?\nAnswer: 2024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d + 68. Let m be a(9). Put -0.5, m, -7, 7 in increasing order.\nAnswer: -7, -0.5, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 864d0 (base 15) to base 16\nAnswer: 68169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 6*o**2 + 2451*o - 19490. Determine m(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**3\/3 - 21*y**2\/2 - 41*y + 11. Let m be l(-19). Is 6 a factor of -6*m\/45*(3 + 72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 7045*q + 14110.\nAnswer: -5*(q - 2)*(q + 1411)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1979121 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 j, and 1 m when three letters picked without replacement from {m: 2, j: 1, h: 11, p: 1, f: 1}?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 0 + 0*z**4 - 1\/21*z**7 + 0*z + 0*z**6 - 5*z**2 + 7\/60*z**5 + 0*z**3. What is the third derivative of r(k) wrt k?\nAnswer: -240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/4*(-118)\/3 and 28\/32*(-1053)\/63 + (-23)\/184.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 2 - 13 + 6*j + j. What is the tens digit of i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c = 31*c - p, -p = -2*c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 11. Let f(q) = -q - 2. Let v be f(h). Let a be (-56)\/(-20) - (-8)\/(-10). Solve -a*s = v*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-1232)\/48))\/((-99)\/(-154))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 6*c**2 - 6*c + 7. Let a be o(-6). Suppose -2*r - 11 - 25 = 0. Let p = r + a. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*k - 2*b, 3*b = -2*k + b + 16. Solve 0 = -k*l + 2*l - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**2*r - 3*k**2 + 1518*k*o + 5*k*r - 3*k + o*r + 23*o - 1036*r wrt r?\nAnswer: -2*k**2 + 5*k + o - 1036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184 or 12709\/69?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 16, -5, -699, -2, 0 in ascending order.\nAnswer: -699, -5, -2, 0, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(((l*l\/l**(1\/2))\/l)\/l)\/l*l)\/((l*l**11)\/l))**19\/(((l**(-2\/5)\/l*l)\/l**(-5))\/(l\/l**0*l*l**(3\/4))) assuming l is positive.\nAnswer: l**(-4027\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.938 + -174.238. Let i = 191 + v. Let m = -17.6999897 + i. Round m to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2. Let l(r) be the first derivative of r**3 - 5. Determine l(t(q)).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -22*j - 13 - 2*j**2 + 46*j - 7. Let k be n(9). Put k, -1, 0 in decreasing order.\nAnswer: k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18617\/7 - (-32)\/(-56). Let v = p + -1831. What is the highest common divisor of 36 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272403 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36000 a multiple of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 167b0a (base 13) to base 4\nAnswer: 2020230203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/8 + (-180)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210168195?\nAnswer: 3, 5, 17, 824189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 11 + 15*t**2 - t**2 - t**3 + 6. Let c be m(14). Suppose -3*r + i = -57, 3*i = -2*r + c*r - 27. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n - 4*n + 0*n)*(2*n - 6*n + 3*n) + n**2 - 2*n**2 + 2*n**2)*((0*n**2 - n**2 + 0*n**2)*(0 + 0 - 2) + 3*n - 3*n + n**2).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 1)*(-6 + 3 + 0)*(17 + 15 - 25) + (-2 + 0 + 0)*(-3 + 2 - 1))*(9*q + 1 + 2 - 5).\nAnswer: 414*q - 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83921.\nAnswer: 83921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 x when three letters picked without replacement from {x: 3, d: 12}.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -233131 (base 4) to base 9\nAnswer: -4144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 161504 to the power of 1\/2, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -32, 1, -5 in decreasing order.\nAnswer: 8, 1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bd03 + -108?\nAnswer: 2bbd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 15 = -c, 4*c = -3*g - 0 - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2842\/(-154))\/((-3)\/(-3)) + (-42)\/77.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(-231768)*-24)\/(2\/18).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 10*z**2 + 10*z + 13. Let j(s) = -s - 2. Let c be j(-7). Suppose -c*y = -2*h - 27, 7*h + 50 = 2*h - 5*y. List the prime factors of v(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -437 + 437. Suppose u = 2*u + 5, 5*d - 4*u - 55 = 0. Suppose -p - 9 = 5*w, p + o*w - d = -w. What is the greatest common factor of 44 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -1 + 11 + -2. Let k(n) be the first derivative of -n**3\/3 + 7*n**2\/2 + 7*n + 2. What is the lowest common multiple of k(z) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 1:39 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73176, 146360, 219544, 292728?\nAnswer: 365912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2)*(2*d**2 - 4*d**2 + d**2) - 7*d**2 + 3*d**2 - 2*d**2 to n*d**2 + h + k*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*w - 28, -7 = -4*r - 4*w + 25. Let g(j) = -j + 2 + 0 + 4*j. Is g(r) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -5, 4, -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 1 + a + 0*a + 3. Let l be k(-1). Solve 0 = y + 5, -l*n - 6 - 3 = 5*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j + 3*j - 290 = -5*y, 31 = -6*j - 4*y + 263 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0112 + -0.1722. Sort 2\/3, 29, u in descending order.\nAnswer: 29, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-195)\/(-1*(0 + 1)). Suppose -6*z + i = -z. What is the remainder when z is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-238)\/(-21))\/17)\/(6\/175347)?\nAnswer: 19483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4632643 - 3?\nAnswer: -4632646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 - 10*t**2 + 7*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 18*c**2 - 2*c - 1. Does 19 divide t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b + 1. Let c(o) = o**2 - 5*o + 4. Let d be c(3). What are the prime factors of p(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -8\/197 (b) -2\/9 (c) -21 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*m = -12, -2*w = -3*w - 4*m - 1. Let l be 6 + -6 + (-3)\/(-2). Which is greater: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**2 + 4*n + 3. Let h(p) = 4*p**2 - 3*p - 2. Let r be ((-2)\/18)\/((-38)\/171)*6. Give r*m(c) + 4*h(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.19 + -0.19. Which is the third smallest value? (a) -4 (b) -2\/11 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/((-1)\/(-1)))\/2. Let w be ((-4)\/(-8))\/((-1)\/l). Solve 2*u = -2*u - c + 8, -10 = w*u - 3*c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141628 <= -141633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2\/19, -242\/5, 51 in increasing order.\nAnswer: -242\/5, -2\/19, 8, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17699 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**4\/4 + h**3\/3 - 207. Solve o(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:09 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**5 + 460*h**4 - 773275*h**3 + 5392990*h**2 - 6150880*h - 12317600 = 0.\nAnswer: -445, -1, 4, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 20664*m - 35583408.\nAnswer: -3*(m + 3444)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43068*p**5 - 830*p**2 + 63*p?\nAnswer: 2584080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.089 + 0.389. What is the third smallest value in n, 0, -2\/17?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 11:29 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 80\/14 - (-6)\/21. Let r(u) = -u + 1. Let w(o) = -69*o. Let v(s) = 5*r(s) - w(s). Is v(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*0.01.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48*(1242\/108 - (4*-21)\/(-7))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123251361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.055, -543, -2345 in decreasing order.\nAnswer: -0.055, -543, -2345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 + -130.2. Which is the closest to q? (a) -0.2 (b) 1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*y = 31, 6*d - 3*d + 6 = 3*y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1419 and 3432?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/12)\/((-10)\/(-1995)). Round a to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198204 divided by -597?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m + 120 = 11*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5764 - -1.\nAnswer: -5763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -50067 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = -26 - 518. Solve 246*f = 254*f - m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 5\/7 (c) 266 (d) 2\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 4)*(35 - 163*o - 39 + 753*o + 322*o) to the form u + m*o and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227, 0, 5, 3, -5 in descending order.\nAnswer: 5, 3, 0, -5, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 2a00788?\nAnswer: 2a00784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -2*(sqrt(117)*2 + sqrt(117)) + 2*sqrt(117)*2 + sqrt(117))\/(sqrt(99)\/(sqrt(11) + -6*(sqrt(539) - sqrt(11)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*b + 6*b - 80. Let l = 12 + b. What is the tens digit of 60\/l*24\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r + 5*r - 2*r. Let z = -5 - -7. Let f(m) = m**2 - 2*m + 2. Let o(d) = d - 1. Let u(a) = z*o(a) + f(a). Calculate u(i(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 3\/4, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 362 = 4*a - 7*n, -a - 2*n + 93 = 0. Let l = a + -235. What is l rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03158582 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1060768, -2121551, -3182338, -4243129, -5303924, -6364723?\nAnswer: -7425526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 267399 by -89133.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o**4 + 187 - 238 + 273*o**3 + 49 in the form k*o**4 + a*o + x*o**3 + n*o**2 + c and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30*((-11)\/2 - (-5 + 1)). Let b = i - -51. What is the lowest common multiple of b and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x - 8*x + 2*x + 12 as f + o*x and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1030, -123, 0, -22 in ascending order.\nAnswer: -123, -22, 0, 1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 3:33 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 5*z**2 - 7*z + 3. Let h be v(3). Put h, 5, -1 in decreasing order.\nAnswer: 5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 4816?\nAnswer: -29\/4816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70.5*-3.51.\nAnswer: 247.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 697*l**2 + 1338*l - 25. Determine q(-2).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7*x. Suppose 4*j = -5*c + 4, 5*c = -x*j + j + 24. What is the third derivative of -3*f**c + 7*f**2 - 4*f**2 - 3*f**4 wrt f?\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-2884*k + 5780*k + 10 - 2892*k).\nAnswer: 8*k + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57384814 to the power of 1\/3, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1355 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 89 = -y, 29*t = 28*t + 5*y + 13. Solve 0 = 109*u - 105*u + 5*p + 19, 3*u = -5*p - t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 9 = -11*t + 4*t - 34, -5*r + 0*r = 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-5) - (-162 + 1). Suppose 155*c - v*c + 10 = 0. What is the third derivative of 39*u**2 - 11*u**5 - u**3 + u**3 - 19*u**c wrt u?\nAnswer: -1800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4946 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-72)\/(-9*17\/1224) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195 - 1205.\nAnswer: -1400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -167311 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 16*g**2 - 17*g + 10. Let d be m(17). Let i be (6\/9)\/(d\/105). Solve -f = 5*l - 19, 2*l - i = -5*f - l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 7. Suppose -2*h = 2 - 12. Let x be z(h). Let v be x\/(-4) - (-129)\/12. What is the greatest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - (7 + (-9 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 4. Let t = 14 + -15. Let v = 1.2 - 6.2. Which is the nearest to t? (a) s (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i**3 + i**2 + 144*i - 293. Determine g(2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2 - 3*k + 3. Let n(i) = -16*i**2 - 10*i + 10. Let u(t) = 10*j(t) - 3*n(t). Let d(p) = 6*p. What is d(u(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(3*x**3 - 2*x**3 + 0*x**3) + 4*x**3 + 5*x - 7*x**3 + 2*x**3 + 0*x**3 + 4*x**3 - x**3 as z*x + g*x**3 + m + j*x**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 491.1 - 490.7. Put j, 20\/9, 0.5 in ascending order.\nAnswer: j, 0.5, 20\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -422 (base 16) to base 6.\nAnswer: -4522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 7*p**2 + 10*p + 2. What is the least common multiple of l(8) and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36428 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 25*o - 100. Calculate b(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((o**(-3\/5)\/o)\/o)\/o*o))\/(o**(11\/5)*o) assuming o is positive.\nAnswer: o**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -69. Let t = u + 45.0058. What is t rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100666474 + 2\nAnswer: 100666476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1998, -1998, -2000, -2004, -2010, -2018, -2028?\n\"Answer: -r**2 + 3*r - 2000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74422 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23310003 (base 4) to base 11\nAnswer: -33399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109172 is divided by 109169.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (78\/15)\/(22\/(-20)) and 96\/88*(-6)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19979463 - 5.952\nAnswer: 19979457.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3\/9 - 85402*z**2\/3 + 4045722*z - 1292966090\/9 = 0.\nAnswer: -128245, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -7 (b) -54 (c) -4 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 14) + (8 - (-30)\/(-3)). Let m = 18 + x. Solve -4*p + 2*p + 5*s = -5, 0 = m*p - 3*s + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(1210)*-1).\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 31184848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 3*r - 819 = 0. Suppose -5*w = 699 + 2161. Let h be w\/r - (-4)\/14. Which is bigger: -24\/5 or h?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**2 + 3*q**4 + q**3 + 6*q**2 + (-q**2 + 2*q**2 - 2*q**2)*(-14*q**2 - 205 + 205) as c*q**3 + n*q + k*q**4 + y*q**2 + m and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (7 - 4) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by (53\/(-4))\/((-99)\/(-36) + -3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -20, -43, -82, -143?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2, -3*f - 2*p = p - 3009. Let s = f - 523. What are the prime factors of s?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t**4 - 2015*t**3 - 19652*t**2 - 47748*t = 0.\nAnswer: -173, -6, -46\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19890709*d**3 + 27637358*d**2.\nAnswer: 119344254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/(-26)*(-720)\/2500 + 2*-1.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 11:34 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (31 - 21)\/(-1 - -3). Solve -z + j - 4 = 4*j, 8 = -2*z - x*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from saaelsqt. What is prob of picking 1 q, 1 l, 1 t, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(178*o + 2*o + 16*o).\nAnswer: 588*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-8) + (-14)\/(-4). Suppose d*l = 4*m - 127, 2*m = -2*l - 28 + 114. What is the remainder when m is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10262 - -10261.91. What is the nearest to -1 in v, 1\/5, -3, -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282873, 284489, 286105, 287721, 289337, 290953?\nAnswer: 292569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 3:58 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 7*w**2 - 8*w - 2. Calculate j(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*j + 4*w, -5*j - 3 = 3*w + 2. Suppose i - 2*a = -4*a + 15, 3*a + 30 = j*i. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3948 divided by 961\nAnswer: 3948\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.433 + -34.813. Which is smaller: z or 246?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.214 + 0.214. Which is the third smallest value? (a) m (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 735*q + 7422. What is the remainder when 15188 is divided by g(-10)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1203 less than or equal to -1203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from tucttbbubu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3810)\/19050)\/((-3)\/(-8))?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-15) + 0\/1. Let i be (-266)\/(-8) + q\/(-4). Suppose -2*x + n = -x - 29, x + n - i = 0. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -29. Let h be 4\/(-10) + 74\/10 + z. Let i(m) = -m + 13. Let r be i(h). Sort -3\/5, r, 3 in increasing order.\nAnswer: -3\/5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383 + 443 = 108*b - 470 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - 35. Let f = a - -61. Let g be 0\/(f\/(2\/(-1))). Solve g = -2*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*n**2*z**3 + 6863111*n**2 - 2797053*n*z**3 + n*z**2 wrt z?\nAnswer: 60*n**2 - 16782318*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26 - -0.06. Let c be 2\/14*45\/18. Let v = -1\/7 - c. What is the closest to 0 in v, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 1312.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(3\/4))\/n)\/n*(n**6\/n)\/n*n)**(-21)\/((n**4\/n*n*n*n**5*n)\/(n\/(n*n*n**(3\/8))*n*n\/((n**(-2\/9)\/n)\/n*n*n)*n)) assuming n is positive.\nAnswer: n**(-7841\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.25445 to two decimal places.\nAnswer: -5.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + sqrt(392)\/(sqrt(8) + sqrt(72)))\/((sqrt(63) + sqrt(63) + (sqrt(567) - sqrt(63)))\/sqrt(9)).\nAnswer: 5*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7 + -3. Let o be 12 + 6 + -11 - 2. What is the second smallest value in j, -0.4, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 5*q + 17. Let r be n(7). Suppose 78 = r*i - 9. Let l = 21 - 11. What is the remainder when i is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5240908 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = t - 118 - 127, 3*k + 1110 = 5*t. Calculate the remainder when t is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*l = l - 14, -4*j - 57 = -5*l. Let k(t) be the first derivative of t**2\/2 + 12*t - 97. Calculate k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -59, -24, 99, 310, 609, 996?\n\"Answer: 44*m**2 - 97*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiigiggiggggbg. Give prob of sequence gib.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*36\/21 - 4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**2*g*g*g**8)\/((g*g**(-6))\/(g*g**1)))\/(g**(-2\/21)*g**(2\/3)*g\/g**(-2\/3)*g*g**(-5\/3)*g*g) assuming g is positive.\nAnswer: g**(122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*g**5 - 31*g**4 - 89*g**3 + 33*g**2 + 59*g - 2 = 0. What is g?\nAnswer: -1, 1\/30, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -21 - z + 27 + 28 + z**2. Let q = -1 - -1. Is x(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*z**3 - 1652*g**2*z + 46*g**2 - g*z**3 + 4*g*z + 58161*z**3 - 2 wrt z.\nAnswer: -6*g**2*z - 6*g*z + 348966*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - t**3 - 2*t**3 + t**3)*(244 - 209 - 587).\nAnswer: 1104*t**3 + 1104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 + 526. What are the prime factors of i?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-14))\/(((-18)\/(-21))\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k + 80. Suppose -5*r + 2*l = -0*l + 48, l - 9 = r. Let x = r + k. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000049985 rounded to seven dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/9)\/((-1005)\/306 - 370\/(-111))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4, -4\/81, 8\/5, 0?\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etzbxueu. What is prob of picking 2 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4500.6 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3\/(q*q**(-3\/4))*(q*q*q\/q**(-1\/2))**(-4)*((q**(-1)\/q)**(-4\/27))**(-15) assuming q is positive.\nAnswer: q**(-565\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d = -2 + 72. What is the second derivative of 4 - 4 + 66*l + 3*l**4 - d*l**2 - 22*l**2 + 2*l wrt l?\nAnswer: 36*l**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**3 + 3*z**3 + 3*z**3 + (-z + z - 2*z**2)*(0*z + z + 4*z) + (-3*z - 4*z + 6*z)*(-2*z**2 - 2*z + 2*z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 9*d = 473 - 209 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.29 and -4953696670820.\nAnswer: -4953696670819.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 883988713?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/704 and 6\/1823.\nAnswer: 1283392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.035 and -0.71.\nAnswer: -0.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-64)\/160*(-30)\/4. Solve -2*o + 20 = -7*o, 2*o = g*a - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, w: 2, b: 1, r: 2, o: 1}. Give prob of picking 2 i and 1 b.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10*h**2 + 64*h + 72. Let n be i(-5). Find t such that 8\/9*t**3 - 8\/3 + 56\/9*t - 38\/9*t**n = 0.\nAnswer: 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*v = -3*m + 22, m + 3*v + 11 = 0. Solve -m*c - 3*a - 16 = -4*a, -3*a = c - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*i + 3*i**2 - 26*i - 45*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 225\/2625*(-30)\/2?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9) - 0)\/(10\/75)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*h = -153*h + 494. Let r be -1*3 - 130\/h. Solve 5*d = r + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113 or -111?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 231, 1, 6, -19, 2 in increasing order.\nAnswer: -19, -2, 1, 2, 6, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127\/84 - 1\/84. Which is greater: 35 or q?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 25*n - 694. Give m(29).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3.12 (b) 0.1 (c) -3079 (d) 1\/4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -562 - -2058. Does 22 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 222954*h**2*k - 2*h**2 + h*k**2 + 2*h*k - k**2 + k - 56274 wrt h?\nAnswer: 445908*h*k - 4*h + k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374 - 296 = 25*u - 697 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-16 - -3) + (8 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, -0.181, -0.3 in descending order.\nAnswer: 4, 0.4, -0.181, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3558 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -235823715140?\nAnswer: 235823715143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = -4*x, o + 4*x = 5 + 1. Let n be o\/(-4)*(0 - -4). Suppose g - 6 = -n*g. Solve -4*d = 4*c - g*c + 16, -3*c = -2*d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2*k = -45, 7*z = 15*z - 3*z + 4*k - 97 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 619392 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 120, 4, 102 in decreasing order.\nAnswer: 120, 102, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 344 and 56932?\nAnswer: 113864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**3\/6 - 2*i**2 + 9*i + 86. Suppose 11 = -2*p - 19. Let u = p - -15. Calculate n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 609 and 241288845.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.573361 centuries?\nAnswer: 45.73361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48070 and 4048.\nAnswer: 384560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*g**2*k**3*q + 93*g**2*k**2*q - g**2*k**2 + 2*g*k**3*q + 129*g*k**3 + 2*g*k**2 - g*k - k*q wrt k?\nAnswer: -78*g**2*q + 12*g*q + 774*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 97516, 97631, 97824, 98095, 98444, 98871?\n\"Answer: 39*n**2 - 2*n + 97479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -94924000 to the nearest 1000000.\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 479*b**2 + 2709*b + 61012. What is n(473)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d + 12 = -2*m, -5*m - 9 = -4*d. Let p be ((-140)\/30)\/(2\/d). Let q be (p + 6)*2\/(-4). Solve q*j - 6*j = 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -15*q**3 + 39*q**2 + 24*q - 51. Let k(g) = 7*g**3 - 19*g**2 - 12*g + 25. Let w(x) = -6*f(x) - 13*k(x). List the prime factors of w(9).\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*m + 2*m - 6537, -m - 4 = 0. Let c = p - 734. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119869680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 59*y**2 + 169*y - 90. Let j be h(56). Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 150*i + 1361. What is g(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -33\/5, 6 in descending order.\nAnswer: 6, 3\/4, -33\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/566864 and 31\/2.\nAnswer: 566864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3150 divided by 40.\nAnswer: -315\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2013 + -47\nAnswer: 1966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116586*g + 116594*g + 0*g**2 + 1 - 1 + 0*g**2 - g**2.\nAnswer: -g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -238 - -238.3. Which is the closest to -0.1? (a) 0.1 (b) -2\/95 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8345697 - 32.5\nAnswer: -8345729.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 5) to base 13\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25023869283.3 take away 448?\nAnswer: -25023869731.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 25 + 73 - 27 - 10*v.\nAnswer: -10*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006822 is divided by 913?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -102 + 4?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*r**3 - 5 + 1 - 7*r**2 + 21*r**2 - 12*r**2.\nAnswer: -85*r**3 + 2*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/18 + (-587861)\/(-15948) + (22\/(-8) - 0)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 3*x - 3. Let l be c(6). Let r = 17 - l. Let b(t) = -r*t**2 - 2 + t**3 + 5*t - 2*t + 0*t**2. What is b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y - 12, -3*w - 5*y - 6 = 0. Let v(u) = 789*u + 3. Let i be v(w). Round i to the nearest 100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 41721 and 0.01337.\nAnswer: 41721.01337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.801, 4552, 2\/13?\nAnswer: -0.801","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*r + 24510*r**3 - 25278*r**3 - 10*r + (-4 + r + 4)*(8*r**2 - 3*r**2 - 4*r**2).\nAnswer: -767*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f + 3. Let x(q) = 8*q - 4. Let l(r) = 7*h(r) + 6*x(r). What is the first derivative of l(g) wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 199, 0.4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12*y**2 + 3*y - 3. Let d be x(2). Suppose 5*q - 49 - d = 0. What is the greatest common factor of 15 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*j = -40*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/1425 and -79\/10000.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 2*x**5\/5 + x**4\/12 + x**3\/6 - 3*x. Let t be n(-1). What is the units digit of (-2)\/4*t\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/45*-14*(-6)\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21867340 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 1:35 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/27))**(-8\/3)\/(v\/((((v\/(v*v*v*v*(v**(-7)\/v)\/v))\/v)\/v)\/v))**(1\/12) assuming v is positive.\nAnswer: v**(-373\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/8 + 195*d\/2 - 38448.\nAnswer: (d - 288)*(d + 1068)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63 + 888?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -79, -4 in decreasing order.\nAnswer: -3, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -104? (a) 2 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -17*u**3 - 45*u**2 + 6*u - 13. Let y(s) = 26*s**3 + 73*s**2 - 9*s + 20. Calculate 8*t(g) + 5*y(g).\nAnswer: -6*g**3 + 5*g**2 + 3*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446343 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 + 4*a**2 - 6 + 6 + a**3 + (0*a**2 + a**2 - 3*a**2)*(2*a**2 - a**2 + a**2) + 0*a + 0*a - 4*a**4.\nAnswer: -6*a**4 + a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiiqqqqqqqiik. What is prob of sequence iq?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -220, -212, -182, -118, -8, 160, 398, 718?\n\"Answer: 2*p**3 - p**2 - 3*p - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97738 - -15138. What is t rounded to the nearest one thousand?\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 + 453*v + 3640.\nAnswer: -(v - 1820)*(v + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (6 - -9) - (-76 - 12 - 14)) + 3?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 + 2022. Let x = 1905.79 - i. Round x to one decimal place.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -451? (a) -3\/5 (b) -3\/2 (c) 0.3 (d) -720\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5439 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 201, 0.02, 2, -110 in ascending order.\nAnswer: -110, 0.02, 2, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10234 - 0.4.\nAnswer: -10234.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 10.6\nAnswer: 21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -199\/91 + 34\/13. Let j be (-6)\/(-15) - (-14)\/(-60). Let g = 0 - 0.1. Which is the third biggest value? (a) j (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -201 + 882. Let a = -943.9 + d. Round a to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 4. Let v be y(1). What is the smallest value in -0.5, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 30.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 15483*g + 244. Suppose 0 = -r + v + 2, -9 = 6*v - 9*v. Is j(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 64498631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5 - -1)\/4)\/(17 - 16). Let d be ((-232)\/12)\/(6\/(-9)). Let x = d + -19. Which is the closest to 0? (a) x (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w. Let t(u) = u**2 - 6*u - 33. Let a be t(10). Let o(s) = -36 + 46 + s + a*s. Give o(z(d)).\nAnswer: -16*d + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 7, j: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/66)\/(-4)*(10\/(-15))\/((-28)\/(-378))?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 x when four letters picked without replacement from {x: 11, d: 2, h: 2, b: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**4 - 40*b**3 - 92*b**2 - 48*b = 0. What is b?\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618120040 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**15\/m)\/(m\/(m\/(m\/(m\/m**(3\/5))))) assuming m is positive.\nAnswer: m**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - 2*k - k)*(11 - 358 + 56 - 233) to f + p*k and give p.\nAnswer: 2620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccmc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 4 - 4)*(35 + 2 + 2).\nAnswer: 195*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/5*5 + 1. Let t(r) = 4*r + 1. Calculate t(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 68 - 0. Let s(c) = c**3 + 8*c**2 + 7*c + 2. What is the remainder when s(-6) is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**7\/1680 - 7*b**6\/960 - 23*b**5\/160 - 39*b**4\/64 + 3506*b**2. Factor n(m).\nAnswer: m*(m - 13)*(m + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -12 (c) -3 (d) -15\/74 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.131 * 37213.7.\nAnswer: 4874.9947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 + 12718*z\/5 + 5507524\/5.\nAnswer: -2*(z - 6766)*(z + 407)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*b**4 - 185*b**3 - 10*b**2 = 0.\nAnswer: -1, -2\/35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/3*-17 + 6\/(-2) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6740 - 13481\/2. Let u be -2 - (33\/(-9) + 2). Which is the closest to u? (a) m (b) 1\/6 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 885\/13 - 19261\/273. Suppose -19*s = -9*s - 70. Find the common denominator of s - (0 + 7) - 194\/(-60) and f.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8812 - 10.5188. Sort 0.1, -5, -4, l, 1 in descending order.\nAnswer: 1, 0.1, -4, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:31 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 19 = 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/8*2)\/1. Which is the closest to 1? (a) -1\/26 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 213\/8, -0.006, -0.9.\nAnswer: -0.9, -0.006, 1\/3, 213\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 17. Let i be m(-11). Let d(s) = 2*s + 3 + 2*s - 1 + 3*s**2 - 2*s**2. What are the prime factors of d(i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1314*h + 18131 - 83831 = 0 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3803*u**2 + 48*u + 16. Let b(r) = 2535*r**2 + 30*r + 10. Let h(y) = 8*b(y) - 5*o(y). Let j(l) = -3*l**2. Determine j(h(n)).\nAnswer: -4800675*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 583064936 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 5*u = -11, 5*v + 4*u = 17. Let p(n) = 7*n - 2. Let y be p(v). Let k = -19 - -20. What is the highest common factor of y and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-304*d**3 - 378*d**3 + 120*d**3)*(-4*d - 3 + 3).\nAnswer: 2248*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -63, -155, -313, -543, -851, -1243?\n\"Answer: -m**3 - 27*m**2 - 4*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-92))\/(4\/(-22)). Let w = r + 4\/23. What is the common denominator of w and -133\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.6162 days in milliseconds?\nAnswer: 14222839680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -18. Let h = i + 7.1. Let g = 3 + -4. Do g and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*n = 12, 7*h = 2*h - 10*n + 50 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 1. Let o be -5 + ((-1)\/1 - -1). Let i be h(o). Suppose 0 = -i*t - 0 + 4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 219 - -397. List the prime factors of l.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351557 is divided by 87847?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/4542 and -71\/18.\nAnswer: 13626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4481?\nAnswer: 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -320d5 - 320?\nAnswer: -32405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Let r(h) = -2*h**2 + 21*h - 20. Let l be r(9). Calculate the highest common divisor of w and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (2 - 3) - -3. Let u be (-2 - 1)\/((-4)\/(-8) + g). Solve -2*j = -3*c - u, -1 = -0*c + 4*c - j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-246332)\/8*6*5. Let v be j\/(-126) - 3\/(-9). Let h = 7326 - v. Find the common denominator of h and -133\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1123012332 (base 4) to base 9\nAnswer: -627816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 825602700 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 210256 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4428240+7\nAnswer: -4428233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -179 (b) -11 (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10357401.77 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2893271921, -2893271922, -2893271923, -2893271924, -2893271925?\n\"Answer: -k - 2893271920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c - 4*f + 35 = 0, -5*c + 30 = 3*f. Solve -c*y + y - 2 = a, 4*a = -y - 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8352, 16727, 25124, 33543?\n\"Answer: 11*a**2 + 8342*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from yyynnnnnymjnnmn?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = 0, z - 995 = -17*u + 18*u. What are the prime factors of z?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f**3 - 9*f**2 + 28*f - 195. Let w(h) = -5*h**3 + 5*h**2 - 16*h + 98. Give -4*q(d) - 7*w(d).\nAnswer: -d**3 + d**2 + 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -44781 + 0\nAnswer: -44781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -213160784 divided by 2512?\nAnswer: -84857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 3320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10814*i = -67410 - 328980 - 10255 - 4287 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 111. What is the remainder when (585 + -611)*22\/(-4) is divided by r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w = 47*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2 + 338*o + 1005 = 0.\nAnswer: -335, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7401318707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-3))\/(-5))\/((-8)\/(-96)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43228190 divided by -2.\nAnswer: 21614095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9142.2836 + -56?\nAnswer: 9086.2836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 1. Let y(l) = l + 4. Let i(u) = -2*a(u) + y(u). Let p(d) = 9*d + 10. Let f(t) = -4*t - 5. Let c(j) = 5*f(j) + 3*p(j). Give 4*c(b) - 9*i(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 4*i. Let r be c(-4). Suppose r = 5*z - 5. Suppose -d = -3*d. Solve -m - z + 0 = d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.0357 (b) 2\/497 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = 96*s + 61 - 1671 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**4\/12 - 6*m - 4. Let o(t) be the first derivative of y(t). Let b(v) = -10*v**2. What is b(o(g))?\nAnswer: -10*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/6)\/(3\/(-26)). Suppose 0 = 4*h - 3*h + 4*z - 7, 5*h = 4*z - f. Let y be 204\/12 - 3*h. What is the greatest common divisor of y and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 11*z**2 - 8*z + 3. Let t be u(11). What is the tens digit of (-400)\/(-125)*t\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-363)\/(-484)*(-64)\/(-312).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*f = -429*f - 310*f + 204120. Calculate the remainder when f is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -68. Let j = -2.0295 - -0.0295. Sort j, 15, r, -1 in increasing order.\nAnswer: j, -1, r, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1366963 (base 11) to base 9.\nAnswer: -4373834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-588)\/(-490))\/((-264)\/(-280))?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, q: 2, j: 1, a: 1}. What is prob of sequence fjqq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1515 = -2*r, -r + 930 = -3*k + 2*r. Let m = -178 - k. List the prime factors of m.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4668056235?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*(-1 + sqrt(208))*-5 + 5)**2.\nAnswer: -400*sqrt(13) + 20823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w + 97 = -5*a, 4*w - 32*a = -37*a - 37 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20685 - 20681. Solve -2*y = 5*b + 38, 10*b = 6*b + l*y - 8 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + r**2 - 2*r**2)*(-5*r**3 - 8*r**2 + 8*r**2) + 4*r**5 - 4*r**5 - r**5.\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -1 - (-1 - -1). Suppose -4*p + 40 = p. Solve -3*g + 3*z - 5 = z, -3*g + 5*z - p = r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -13575.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 13*l - 124. Suppose 0 = -2*x - x + 12. Which is the second smallest value? (a) 3\/2 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 27*z**3 + z**2 - 2*z + 1. Suppose 3*g + 9 = -57. Let y = g + 29. What is the remainder when q(1) is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164031 take away -0.02?\nAnswer: 164031.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-90)\/(-8) + 5\/(-20). Let r(u) = 4*u - 19 + z + 0 - 18. What is the units digit of r(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**5\/15 - 2*u**3\/3 - 5*u**2. Suppose g(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114750328?\nAnswer: 2, 7, 11, 186283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*z + 17. Let c(j) be the second derivative of -23*j**5\/2 + 2*j**4\/3 - 5*j**3\/6 + j**2 + 15*j - 2. Let q be c(z). Round q to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -19556*x**2 - 5772*x - 1554. Let u(a) = 3911*a**2 + 1154*a + 333. Let f(r) = 14*u(r) + 3*w(r). What is the second derivative of f(k) wrt k?\nAnswer: -7828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/40 + 2*a**5\/15 - a**3\/2 - 71*a**2. Let w(t) = -2*t**3 - 5*t**2 + 2. Give -5*l(z) - 8*w(z).\nAnswer: z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2*-1 - 3*(-4 + (0 + sqrt(17) - sqrt(17))))**2.\nAnswer: -144*sqrt(17) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.87695952 rounded to 1 decimal place?\nAnswer: -12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, u: 7}. Give prob of picking 2 u and 1 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/q**(-1\/2))\/q*q)**(2\/83)*q**(-2\/27)\/q*q**(1\/2))**(-2\/75) assuming q is positive.\nAnswer: q**(2303\/168075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - i**4 + 3*i**2 + 123*i - 193*i + 73*i - i**3 to the form r*i**4 + n*i + m*i**3 + u*i**2 + s and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -8149?\nAnswer: -3259.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 2. Let d be ((-1)\/(-30))\/((-1)\/(-4)). What is the third biggest value in u, -0.2, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 2. Let s = n - 5. Solve 2*i + c = -7, 2*i - 4*c - s = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + -1*sqrt(132)*-1 - (sqrt(132) - -5*(sqrt(132) - (sqrt(132) + sqrt(132) + 1*sqrt(132)))))\/(5*-2*sqrt(12) - (1*sqrt(1728) + sqrt(12))).\nAnswer: -11*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 12*u**2 + 2*u - 22. Let w be p(12). Solve w*q + q = -15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(98 + 66 - 54)*(-4*r + 27 - 27) + (-1 + 5 - 1)*(4*r - r - r).\nAnswer: -434*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 323579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 1 + 1)*(-17*s - 131*s + 15*s + 1 + s - 1 - 3*s + 0*s + 2*s + (0 - 2*s + 0)*(-4 - 4 + 6)) in the form r*s**2 + l*s + u and give r.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2542863757 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 534, 1067, 1600?\n\"Answer: 533*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004180494709 rounded to seven dps?\nAnswer: -0.0041805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4338935 is divided by 96.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4989.388 milliseconds?\nAnswer: 4989388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 38 = 62. Let h(u) = 8*u**2 + u - 1. Let p be h(1). Let r(v) = -v**2 + 8*v + 6. Calculate the smallest common multiple of r(p) and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = -5*j + 744. Suppose -12 = 101*x - j*x. Let l(a) = -7*a**2 + 2. Determine l(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41736312 by -20868156.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -238, -964, -2166, -3838, -5974, -8568, -11614, -15106?\n\"Answer: z**3 - 244*z**2 - z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/((-6)\/24 + 7\/4). Calculate the greatest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 37365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**2 + 0 - 1\/10*h**5 + 11\/6*h**3 + 0*h + 0*h**4. Differentiate y(k) wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35003959.\nAnswer: 35003959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3669, -7312, -10955, -14598?\n\"Answer: -3643*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**4\/7 + 3874*n**3\/7 - 1164253*n**2\/7 - 4707334*n\/7 - 3539208\/7 = 0.\nAnswer: -4154, -3, -1, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1635, 1637, 1639?\nAnswer: 1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8214 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1616\/5*i**2 - 2\/5*i**5 + 0 - 124\/5*i**4 + 792\/5*i**3 + 1088\/5*i = 0. What is i?\nAnswer: -68, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5811532579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 501 + 177 = 0. Is j smaller than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -105, -424, -955, -1698, -2653, -3820?\n\"Answer: -106*g**2 - g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13267, -27133, -42203, -59077, -78355, -100637, -126523, -156613?\nAnswer: -191507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/7)*u*u**(2\/15)\/u*u)\/(u\/(u*(u*u\/u**0*u)\/u*u)*u\/u**1))**6)**(-11) assuming u is positive.\nAnswer: u**(-8888\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.50128mg in micrograms?\nAnswer: 14501.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/9, -13, -4, 0, -26 in ascending order.\nAnswer: -26, -13, -4, 0, 5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36, 29, 8, -33, -100, -199, -336?\n\"Answer: -l**3 - l**2 + 3*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6483*t - 1. Let s(f) = -4*f**2. What is n(s(q))?\nAnswer: -25932*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 0*m - 3*m)*(2*m - 22 + 34 + 0*m).\nAnswer: 2*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9)\/(a**30\/a))\/((a**(2\/3)*a)\/(a**43*a)))**29 assuming a is positive.\nAnswer: a**(377\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24470411447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 7) + (1 - 9) - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.6799*-30\nAnswer: -50.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*s = -146*s - 1400. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -4, -6, -5226, 5, 4, 3 in descending order.\nAnswer: 5, 4, 3, -4, -6, -28, -5226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20a3 (base 11) to base 13.\nAnswer: -1356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from ffrzrfzrzfzzsszzzz.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 1527725344465*t + 1527725344462*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqsdqwqdqdqsswwswtwd. What is prob of sequence tdsw?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + o - 2*o)*(1 - 1 - 2)*(-54*o + 10 + 29*o + 28*o).\nAnswer: 24*o**2 + 80*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -37. Suppose b + p = 5*b - a, -a = 5. Suppose -b*z + 4 = -29. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t - 960*t**2 - 3 + 1965*t**2 + 3 - 1006*t**2. Calculate v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 != -165\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 105 - (-13 + 15 + -11).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7308783 months?\nAnswer: 0.000060906525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-6)*a))\/a)**19 assuming a is positive.\nAnswer: a**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 27*d - 116 + 60.\nAnswer: 27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17737153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + r - 38. Is c(-12) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 107*a**3 - 2*a**2 + 6*a - 3. Let x be t(1). Solve 0 = 50*c - 32*c + x for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(a + 4 - 4 + (-3*a + 0*a - a)*(3 - 5 - 1)) - a + a - 2*a to the form c + q*a and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 9:58 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggq when three letters picked without replacement from {e: 1, j: 5, z: 1, q: 3, g: 2, s: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*7\/((-35)\/3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 20 - 16 = 0. Let v be (-2)\/(-3) - 21\/k. Solve 0 = 5*o + 3*n - 29, -o - 3*n + 1 = -v*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*r = -14, -5*r = 87*a - 84*a + 4. Find the third derivative of -2638*j**a + 2639*j**2 - 269*j**5 + 48*j - 49*j + 116*j wrt j.\nAnswer: -16140*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.42, 0, 1\/2, -1 in decreasing order.\nAnswer: 5.42, 1\/2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -772 + 775. Let s be 1\/i*(-58 - -58). Is -0.139 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4069991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + (-36)\/54*69?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 14 - 102 = -3*n, -2*n + 5*j + 79 = 0. Let z(y) = 68*y + 70 - n - 37. What is the remainder when z(2) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1494005681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 103?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.054? (a) -0.01 (b) -1 (c) -2\/7 (d) 3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70.1 + -70.1. Sort 0.5, q, -235.\nAnswer: -235, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + -24 + 11 + 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 20. Suppose -c - 210 = -5*f - 4*c, -3*f - 4*c + 115 = 0. Solve -r = 3*s - 10, 0 = -s - 4*s + w*r + f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5116)\/(-10) - (-6)\/15. Let o = y + -356. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*f**2 - 250*f + 250*f.\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*c**2 - 1 + c + 2*c**3 + 3*c**4 + 7 to x*c**2 + o*c**3 + p*c**4 + s + d*c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.107 (b) 5\/4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 13*r**2 + 11*r + 5. Calculate j(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/24 + 114\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99792443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 11 + 2*q**3 + 1.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*j + 2 + 15 = 0, 4*b + 2*j = 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4606477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 + j + 2. Let i(d) = -10*d**2 + 12*d - 2. Let x(v) = -3*h(v) - i(v). Let m(u) = u**3 + 7*u**2 - 6*u + 9. Let s be m(-8). Give x(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2.7. Let t = 0.8 + o. Which is the closest to -2\/5? (a) -0.4 (b) t (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630034 and 398.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 21. Let k = 5763 - 5752. Give b(k).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by (0 + 4 + -2)\/((-2)\/(-159))?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336787?\nAnswer: 11, 17, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 2 (b) 2\/9 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2381*c + 688 = -2424*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.510584 rounded to one decimal place?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3\/2, -2, 14, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*k, -29*k - 14 = -2*p - 33*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 3 + -1 + 0. Let j = b + 1. Put -3, j, -1 in increasing order.\nAnswer: -3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from vvzzz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112247, -112265, -112283, -112301?\nAnswer: -112319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -24522 smaller than -2\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(204) + -2*sqrt(204) + sqrt(204) + sqrt(204)) + sqrt(204))\/sqrt(12) - sqrt(102)\/sqrt(864).\nAnswer: -13*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 0 + 50*p + 24 - 47*p. Let w be d(-10). List the prime factors of ((-627)\/22)\/(w\/32).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -97496, -97488, -97470, -97442?\n\"Answer: 5*x**2 - 7*x - 97494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1418861 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 806546 and 132392?\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 13\/30*p**4 - 1 - 4*p + 11\/5*p**2 - 1\/50*p**5 - 23\/15*p**3. Find v, given that x(v) = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282 divided by 141\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2676 rounded to two dps?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139072215, 139072219, 139072221, 139072221, 139072219?\nAnswer: 139072215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2079966, -2079956, -2079946, -2079936, -2079926?\nAnswer: -2079916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2) + -3 - sqrt(34)\/(sqrt(8)\/sqrt(4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 4. Let z(i) = i**2 + 17*i - 1. Let h(x) = x**2 + 16*x. Let m(c) = -5*h(c) + 4*z(c). What is the remainder when m(-11) is divided by f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*w - 3*w. Let t(k) be the second derivative of k + 0*k**3 + k**w - 1\/4*k**4 + 0. Differentiate t(z) with respect to z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*t**4 - 8*t + 22?\nAnswer: 372*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3303792.\nAnswer: 2, 3, 22943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -183\/217 + 35\/31. Which is the closest to w? (a) 2 (b) 38 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3605 - 3029. Calculate the least common multiple of j and 6.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 19029000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -117190+-69\nAnswer: -117259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 407160 and 1950.\nAnswer: 2035800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79570035607\/3737043 - 1956\/138409. Let f = x + 21295. What is the common denominator of 127\/174 and f?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9950, 10237, 10498, 10721, 10894, 11005, 11042?\n\"Answer: -2*i**3 - i**2 + 304*i + 9649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - 2.3. What is the second smallest value in a, 0.3, -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15220 and 7610.\nAnswer: 15220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 46*w**2 + 1. Let y(q) = 80*q - 464. What is the remainder when v(1) is divided by y(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -199, -206, -223, -256, -311, -394, -511, -668?\n\"Answer: -b**3 + b**2 - 3*b - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 n, and 1 f when three letters picked without replacement from {q: 1, a: 1, f: 4, n: 1, l: 5, x: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1183*r - 45789. Determine x(39).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9 (base 13) in base 3?\nAnswer: -12122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2263, -2256, -2249?\n\"Answer: 7*b - 2270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -760 + 1198. List the prime factors of w.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l + 64*l + 3 + 50*l - 4 - 3.\nAnswer: 84*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*f - 36 = 0, 5*f - 1 = -2*o - 2. Let u = o - -10. Suppose -3*p + 4 = -u. Solve 0 = -a + p*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t**2 - 116*t - 5. Let r(x) = 5*x**2 + 112*x + 5. Calculate 4*d(n) + 5*r(n).\nAnswer: -3*n**2 + 96*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 87620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-8167250)\/(-800) + 6\/(-96)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/12)*x*x\/x**(-1\/14)*(((x**(-7\/2)*x*x)\/x)\/x)**(-25))**(2\/11) assuming x is positive.\nAnswer: x**(7531\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 8 + 2 - (26 - 20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 41 = 3*a, 274*a = 279*a + 3*p + 68 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 79. Let d = h + 8. What are the prime factors of d?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 3013496.\nAnswer: 2109447.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/27 and 58\/28*(-372)\/3069?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 + 11*f**2 - 6*f - 8. Let p(x) = -10*x**3 + 35*x**2 - 17*x - 25. Let n(r) = -2*p(r) + 7*q(r). Calculate n(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -4 (c) -6\/7 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 15 = -f, 2*o - 429*f = -430*f - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:35 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1246 + 2343. What are the prime factors of t?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 (base 12) in base 9?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxjxxxxxjxj. What is prob of sequence jxjj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 4) to base 11\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2 = -5*p + 17, -p = a - 7. Suppose a*t = -2*t + 228. Let o = t - 12. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**2\/8 - 1449*a\/4 - 2901\/8 = 0.\nAnswer: -1, 967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -606*k + 2423. Let t be s(4). Put t, -4, -133 in decreasing order.\nAnswer: t, -4, -133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 665, 654, 643, 632, 621?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxj when three letters picked without replacement from xjjjaajxjjjj.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 6*f**3 - 2*f**3 + (-3*f**2 - 3*f**2 + 5*f**2)*(f - 3*f - f) - 3*f + 3*f - 2*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-51)*(-35853)\/(-2812)*(-6)\/81*-222.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**5 + 558*b**4 + 17034*b**3 + 58824*b**2 - 2312037*b - 13010382 = 0. Calculate b.\nAnswer: -149, -21, -6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2327212813 to the nearest integer?\nAnswer: 48241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/8)\/11 + (-2898)\/(-8). Let j = f - 31. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 156 = 3*f - 5*f, f = -v + 75. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1428\/210)\/((-6)\/(-5)) - ((10 - 2) + -1).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6*(-6)\/18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 27331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -174413, -697460, -1569205, -2789648, -4358789?\n\"Answer: -174349*m**2 - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4805 is divided by 650\/25*70\/20.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.2, 2, -4, 1.2 in increasing order.\nAnswer: -4, -0.1, 0.2, 1.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 11:05 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2148132 is divided by 599?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6092272*u + 10*u**3 + 6092272*u - 15*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 15180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943276981.\nAnswer: 47, 20069723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*g + 2*g - 20052 = -675*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 501, 452, 371, 258?\n\"Answer: -16*w**2 - w + 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 3\/4 (c) -983\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 - 2*n**5 + 4*n**5 - 36*n**5 + 259 - 259 + (-6*n**3 + n**3 + 3*n**3)*(-2*n**2 - 3*n**2 + 7*n**2) - 16*n**5 + 7*n**5 + 5*n**5.\nAnswer: -43*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-15))\/((88\/20)\/(-11))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*b**2 + 18*b**2 + 19*b**2 - 1 + 20*b**2 + 15*b**2.\nAnswer: 3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -3*a - 879 + 870, 0 = -4*a - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l)**(-2\/13)*l\/(l\/l**(-5))*l**(-2\/11))\/((l**(-2\/9)\/l*l**(3\/7))\/((l\/(l\/l**(2\/5))*l)\/((l\/((l*l**(1\/3)*l)\/l))\/l))) assuming l is positive.\nAnswer: l**(-88402\/45045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**3 + 6*p. Let b(r) = -17*r**3 + 17*r. Let l(x) = -8*a(x) + 3*b(x). Factor l(g).\nAnswer: -3*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 38544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 16 + 29 = 8*y - 1, -y - 13 = -3*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -116*y - 78. Let t(f) = f. Let r(n) = -p(n) + 2*t(n). List the prime factors of r(6).\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f + 921. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1325*c + 32 - 1247*c + 2470*c to z + h*c and give h.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11288, -11287, -11286, -11285?\nAnswer: -11284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*t + 2465 - 2223 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p + 35. Let l be x(0). Let c be (-1)\/(0 + (-5)\/l). Let m = 5 - -2. Is c smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -70, -137, -206, -277, -350?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19422541969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l. Let s(y) = y - 323. Determine n(s(q)).\nAnswer: -13*q + 4199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**5*s**2 - 105*b**4*s**2 - 13*b**2*s**2 - 32*b**2 wrt b?\nAnswer: 120*b**2*s**2 - 2520*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -274 - 322 + 2*o + 592. Let x(m) = 0*m + 0*m - 2 + m. Let q be x(6). What is a(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - a - 2*a, 14 = -2*y - 5*a. What is the closest to 0.3 in -1, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/9 - 40216*j\/3 + 120644\/9.\nAnswer: 4*(j - 30161)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1101101?\nAnswer: 1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**5\/15 + w**4\/12 - w**3\/2 + 2*w**2 + 167. What is c(3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 - 2*g + 8. Let s be h(4). Suppose -495 = -s*i + 61*i. Is i a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194827.\nAnswer: 194827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a + 5. Give m(-5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/10157?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1854102 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1\/6, -3, 7\/10, 0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 269437891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 78\/1942427?\nAnswer: 78\/1942427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14 + -0.04. Let z be -2*(-1 + 1\/2). Suppose -2*y + z + 5 = 0. Which is the nearest to l? (a) y (b) -0.4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/m**2))\/(m\/m**(-3)))**(15\/8)*(m*m**(-1\/2))**(-49)*m*m**0*m\/(m\/(m*m\/(m\/m**(-1\/5)*m))) assuming m is positive.\nAnswer: m**(-1023\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 0 - 1 + 3 + 0 + (-5 + 0 + 6)*(2 - 4 + 0) - 2 + 5 - 2)*(-2*u + u - u)*(-83 - 184 + 93).\nAnswer: -1740*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 3*f - 5. Let d be a(-5). Suppose -d*b - 5*w + 5 = 0, 5*b + 2 = 9*b + 3*w. Does -2\/5 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/5*5*25. Calculate the greatest common divisor of 125 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y - 2. Let x be t(-1). Let h be 198\/30 - x\/(-15). What is the third derivative of -3*n**2 + h - 11*n**4 - 6 wrt n?\nAnswer: -264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*6.276847\nAnswer: -25.107388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 - 952 = 80*p - 5814 - 6834 for p.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g*g**(-2)*g*g**(-12))\/(g**(-1\/2))**(1\/50) assuming g is positive.\nAnswer: g**(-899\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*33\/136 - 46\/391. Which is the closest to 1\/4? (a) -0.4 (b) p (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 2, i: 1, n: 7, u: 2, r: 2}. What is prob of picking 1 g, 1 u, and 1 i?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 996, 3006, 6854, 13152, 22512?\nAnswer: 35546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, g: 11}. What is prob of picking 1 r and 2 g?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 2*v + 6, 5*v = -o - 16 - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 1. Let a(p) = p**3 + 13*p**2 - 11*p + 9. Let m(l) = a(l) + 3*r(l). Let i be m(-14). What is the greatest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2 + 6 + 12*n**2 + 3 + 7*n - n**3. Let m be h(8). Solve -u + m = 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065071193 to 6 decimal places.\nAnswer: -0.000651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2706477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3465*q - 3474*q - 57*q**2 + 6947*q in the form z + n*q**2 + i*q and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190211*k**3 + 190212*k**3 + 7*k + 0*k + 7 - 5*k - 2*k.\nAnswer: k**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**3 - 13412*y**2 + 29407*y?\nAnswer: -18*y - 26824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2800886*h**2 + 98*h - 5440.\nAnswer: -5601772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.01 + -1.\nAnswer: -24.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.4, -10, -3\/7.\nAnswer: -10, -3\/7, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5503448.\nAnswer: 2, 687931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 5, 45, -113.\nAnswer: -113, 5, 45, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -804\/19 - -26937\/646. Let l = 2\/20075 + 301117\/80300. What is the common denominator of l and j?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 15*q**2 - 15*q + 19. Let v be t(14). Let y = 10 - 5. Solve -y*p = 10, -n = n + v*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10311101032 - -100?\nAnswer: 10311101132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -16*c**3 - 5*c**2 + 37*c + 3. Let u be g(5). Which is bigger: u or -1938?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664176 = -95*p + 3519339. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*y + 715 = 62*y. What is the smallest common multiple of 130 and y?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 7\/9*y**2 + 127 + 13\/9*y + 1\/27*y**3. Find l such that t(l) = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -707.32 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 4:34 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**8\/240 - a**6\/120 - 2*a**3 + a. Let r(q) be the second derivative of n(q). What is the third derivative of r(v) wrt v?\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y + 5. Let a(q) = q. Let p(i) = 6*i + 4. Let l(j) = -2*a(j) - 2*p(j). Let d(m) = -8*h(m) - 5*l(m). Let u be d(-6). Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*f**2 + 191*f**2 + 126*f**2 + f - 2*f**2 - f - 2*f + 2*f - 2*f**2 + (-2*f**2 - 2 + 2)*(0 + 4 - 2) - 4*f + 4*f + f**2.\nAnswer: 333*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 1\/4, -25?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107640198 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 = 18*d - 31. Let p be (-4 - -6) + 15\/(-6). What is the third smallest value in d, -0.3, -2\/19, p?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -55. What is the nearest to 2 in 4, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5585?\nAnswer: 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 3*q - 20. Sort q, 2, 3 in decreasing order.\nAnswer: 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.23 (b) 28 (c) -5\/3 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 755, 2839, 6311, 11171, 17419, 25055, 34079?\n\"Answer: 694*g**2 + 2*g + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103536959?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 57 = 3*j - 18, -16 = -5*j + 4*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 3 (c) 9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -15*p**2 + 90*p - 365. What is d(4)?\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. Suppose -2*z - s - 50 = -4*z, -76 = -3*z + 2*s. Suppose 111 - z = m - 2*c, 5*m + 2*c - 483 = g. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3715245, 3715242, 3715237, 3715230?\n\"Answer: -l**2 + 3715246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25635690 and 630?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1. Suppose -4*l - 5 + 16 = -t, 0 = l + t + 1. Suppose 2*k - 13 = -3*x - l*k, -12 = -4*x - 4*k. Let y(n) = -n - 5. Give x*y(b) + 4*c(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1010133\nAnswer: 2020266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6614080\/3 - -2204694. Solve o*l**2 + 26\/3*l + 80\/3 = 0.\nAnswer: -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3db (base 15) to base 7\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 22*j - 1. Let z(l) = -85976*l + 3908. What is -3908*f(r) - z(r)?\nAnswer: 3908*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6329576 and 115\/2013956.\nAnswer: 44307032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47790 and 26550.\nAnswer: 238950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -98, -1, 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + 46*v**5)*(3 + 0 - 1)*(-179 + 189 - 442).\nAnswer: -39744*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8823, -17649, -26475?\nAnswer: -35301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10 = 4*g, 2*g = 5*t - g - 10. What is the second derivative of 257*a**3 - 83*a + a**2 - 220*a**3 - a**t wrt a?\nAnswer: 222*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 23, -26, -427, 5 in descending order.\nAnswer: 23, 5, 0, -2, -26, -427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + 0.04. Let r = 0.33 + -15.33. Let z = r - -11. What is the smallest value in z, t, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -855*a - 1072. Is w(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -31 + 3. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(54\/(-4)))\/(4\/(-6))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13*m + 264. What is the lowest common multiple of z(-20) and 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/1881 and -181\/2394.\nAnswer: 26334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -486, -1, 40, 43, 6 in ascending order.\nAnswer: -486, -1, 6, 40, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2630*g + 2673*g = 1118 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/26 - 432\/(-104). Suppose 4*v = -2*f + c, -5*v - 2*f = -6 + 2. Solve 2*s - 8 + 4 = v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.242 (b) -4 (c) 0.4 (d) 15\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -66. Suppose f + f = -t - 9, -24 = 5*f + j*t. Is 1*f\/(-4)*118 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*m - 6. Suppose -5 = -2*x - 3*x. Does 2 divide x - (2 + m*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14020444 - -24872579. Let u = -38893020.65999365 + a. Let y = u - 2.34. What is y rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 429261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p - 18 = -249 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptqqqmqnttqq. Give prob of picking 1 m and 1 p.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 5*a + 4875 = 0, 3*r = 2*a + 1932 + 492. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b**3 - 3*b + 3. Calculate the least common multiple of -3 + 7 - (-8 - 0) and d(-3).\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/35 - 142\/(-5). Let y be (-3)\/6*r*-2. Solve -2*c - 4*p = -6*p - 18, -c + y = -5*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + 157*b**2 - 241*b + 37. Let s be q(-80). Solve -8*d + 77 = s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/6)\/(115\/345)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -23*x**3 - 78*x**2 - 107*x + 4. Let k(u) = 8*u**3 + 26*u**2 + 36*u - 1. Let h(z) = 17*k(z) + 6*n(z). List the prime factors of h(-13).\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 less than -8901491443244?\nAnswer: -8901491443244.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - sqrt(11)*1) + -3)*1)**2 - (sqrt(11)*1 + 3 + sqrt(11)*2*1).\nAnswer: -3*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (3\/15 + 1). Let k = 7 - 3. Suppose o - k = -2. Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-198)\/(-231))\/(60\/224))\/((88\/(-20))\/(-11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + 4 + (2*(-2 + sqrt(3)))**2.\nAnswer: -14*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -56, -53, -50, -47?\n\"Answer: 3*t - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g - 12. Calculate m(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 13 + 3 = 0. Let u(b) = 15 - 1 + 18 - 15 - s*b. Give u(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 6*x**2 - 7*x + 3. Let b be m(-7). Suppose -f - b*f = -116. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {s: 1, t: 1, y: 1, c: 1, z: 2, d: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 220436450 divided by 425?\nAnswer: 518674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**4\/4 - 5*s**3\/3 + s**2\/2 + 7*s + 5. Suppose -3*l = 24 - 36. What is the smallest common multiple of q(5) and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1.8, -3, 2, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1520, -1516, -1510, -1502, -1492?\nAnswer: -1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1608 and 552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -639008, -634963, -630928, -626909, -622912?\nAnswer: -618943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73.74 - 66. What is b rounded to 1 dp?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 p, and 1 w when four letters picked without replacement from wwwplplwwwbb?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -909*t - 28. Let u be w(-2). Suppose -5*m = -2*n + 300 - u, -2*m - n = -587. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 7*h**2 - 2*h - 10. Let f be w(-7). Differentiate 3*x**4 - 35 + 42 - 13*x**f wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/8*15\/9. Let c = z - 13\/20. Suppose 2*i = -4*x + 4, 2*i - 3 = -3*x - 3*i. Is x at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to -320\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5*1\/5*(-104)\/117\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u**2 + 0*u - 4\/5*u**4 + 0*u**3 + 2\/5*u**5 + 0.\nAnswer: 2*u**4*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 7*f - 3*f. Suppose -6 = -q - u, 4*u - 6 = 2*q - f. Solve -2*i - 5 = -q*n - 2*n, 5*n = -2*i + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 11:45 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 53702256 divided by 6\nAnswer: 8950376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*d - 9*c**2 - 6025*c*d - 679569*d with respect to c.\nAnswer: -2*c*d - 18*c - 6025*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 70?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1220 and -31\/3965.\nAnswer: 15860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*p + 9793 = 0, 5*p - 1476 = 2*s - 5418. Suppose -4*m - 733 + 2288 = 3*x, 5*m - 2*x = s. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8938648*v**2 - 9929430*v wrt v?\nAnswer: -17877296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 + 0*y**5 + 2*y**5 + (y**4 + y**4 + 0*y**4)*(-3*y + 5*y - 4*y) + 936 - y**4 + 18*y**5 - 936.\nAnswer: 16*y**5 - y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 0. Let b be (v - (-27)\/6)*2. Suppose k = -b*k + 148. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(((-6)\/(-4))\/(-1)). Let z(h) = 10*h - 1. What is z(i)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 - 3?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 795 - 24*x**3 + 801 + 810 - 2406 - 81*x**3.\nAnswer: -105*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -5, -1, 5, 13?\n\"Answer: x**2 - x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**6\/120 - n**5\/30 - 7*n**4\/24 - 13*n**2. Let o(v) = -v**2 - 4*v. Calculate -7*o(z) + 4*q(z).\nAnswer: 4*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*z**2 + 206*z - 206*z + (-2 + 2 + 2)*(2*z**2 + 4*z**2 - 4*z**2) to a*z + j*z**2 + g and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425797370.\nAnswer: 2, 5, 137, 310801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 528479.5 grams in milligrams?\nAnswer: 528479500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/10)\/((-40)\/(-32))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/2*4\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*a + 180491 - 173614 = -309943. Calculate the remainder when a is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.03 + 0.03. Let p = k + 12. Which is the second smallest value? (a) 0.3 (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -221401, -0.5, -2, -3, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.063 * -0.14175\nAnswer: 0.00893025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1386223?\nAnswer: 1386223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16555, -18, 5 in ascending order.\nAnswer: -16555, -18, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 12:56 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 2071344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 2, 0.5, -4.9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -26418.5 times -0.2\nAnswer: 5283.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 (base 11) in base 2?\nAnswer: -110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c + 1. Let h be (-3 + 1)\/((-6)\/21). Let x(f) be the first derivative of -f**2\/2 + 25. Give h*x(r) - 2*g(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4011*i + 4013*i + 15 = -7*j, 6*j + 10*i = -46 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < -289599916\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20082, -40163, -60244, -80325?\nAnswer: -100406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234818, -234700, -234496, -234206, -233830?\nAnswer: -233368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/234 and 76\/153?\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1187.181um?\nAnswer: 0.000001187181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*v - 205 = 0, -y - 4*v + 42 = -2*v. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3644 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -2 + 0 + -14. Let w = 19 + d. Suppose f = 6*f - q - 19, 0 = f + 2*q - w. Solve -8 = -f*v - 0*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = -5*j + 12*j. Let c be -2 - j - (-5)\/((-10)\/4). Let w be ((-375000)\/9)\/((-2)\/c). What is w rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 850 - 850.5. What is the closest to 0 in 7\/5, -5, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.96 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -904*n - 8. Let i be u(-7). Let y = 75709\/12 - i. What is the common denominator of y and -46\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -27*r**2 - 6*r + 6265. Calculate u(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**30*o**(-30)\/o*(o**8\/o)**(3\/2) assuming o is positive.\nAnswer: o**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 17 = -13*h, -388*h + 383*h - 48 = 3*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/22651240 and 11\/15855868?\nAnswer: 158558680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 13*q + 7. Suppose -5 = -q*x + 2*x. Is x less than -2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120 or -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from yidddee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 - 126 = 21*v. Solve -v*p - 515 = -539 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -5 (b) 3 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 + 53*p - 55*p - 10*p**4 + 4*p**4 - p**4 + 0*p**4 + (5 - 2*p**2 - 5)*(3*p**2 + 2*p**2 - 3*p**2) + 0 + 0 - 2*p**4.\nAnswer: -10*p**4 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c - 108. Let u(p) = 6*p + 81. Let r(w) = -3*t(w) - 4*u(w). Let s(i) = -98*i**2 + 9*i. Give s(r(q)).\nAnswer: -882*q**2 - 27*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (-7 + 3 - -4) - (262 + -279).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1130519, 2260656, 3390793, 4520930, 5651067, 6781204?\n\"Answer: 1130137*d + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 100 and -113.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 181 + -94. Suppose 4*v = 18*v + 112. Let o = q - v. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m - 21. Suppose 0 = 6*s - 8*s + 20. List the prime factors of f(s).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - 19 - (-87 - (1 - 7)) - (1 + 3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 4362*i - 4359.\nAnswer: -3*(i + 1)*(i + 1453)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 38?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1171, 1701, 3139, 5941, 10563?\n\"Answer: 76*m**3 - 2*m**2 + 4*m + 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4121 + 35190?\nAnswer: 35196.4121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.506658 nanograms?\nAnswer: 0.000000000000002506658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19 + 1 + -3 - -2. Suppose 2*c = 51 - o. Let y be c\/(-42)*4\/(-16). What is the third smallest value in -1\/9, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2 - -1) + 5. Suppose 2*c + 3*c = 5. What is the greatest common factor of d and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -435057 times -204\nAnswer: 88751628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*n + 54 = 0, -5*h = -4*n - 4 - 82. Solve 13*k - 2*y + h = 10*k, -2*k - y - 3 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaa when three letters picked without replacement from {h: 3, a: 7, q: 1, d: 1}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033572 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 24*z**2 + 24*z + 687. Let v be r(-10). Calculate the highest common divisor of v and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2834922904?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Is ((-6)\/b)\/((-6)\/6999) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + 1 + (sqrt(68) - 1*sqrt(68))*1 + (-1*sqrt(136)*-1)\/sqrt(8) + -1))**2.\nAnswer: -144*sqrt(17) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**5\/5 + 972*p**4\/5 - 1916*p**3\/5 - 2924*p**2\/5 + 7728*p\/5 - 3856\/5 = 0.\nAnswer: -2, 1, 2, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5041, 5, 10, -2, -1 in decreasing order.\nAnswer: 5041, 10, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o\/(o*o*o\/o**(-2\/63))*o)\/o)*o**(-13)*o\/(o\/(o\/o**(-1\/3)*o*o))*o\/o**(2\/13))**31 assuming o is positive.\nAnswer: o**(-172360\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b - 4*b - 2*b)*(1 + 1 - 3) - 9 - 384 - 17947*b + 391 to m + k*b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -274 + 277. What is the third derivative of -25*t**2 - 692*t - 86*t**g + 692*t wrt t?\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1074010 by 153430.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/54*6*3*7\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3 + 2 + (-1 + (sqrt(1088) - (sqrt(1088) + (sqrt(1088) - (sqrt(1088) + 0)))))**2)*-4 + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 198\/(-18) - ((-6)\/(-57) + 616\/(-76)). Suppose 5*v - 20 = -0*v. Suppose 5*m - 2 = v*m. Put 5, m, d, 1 in descending order.\nAnswer: 5, m, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.3 (b) -3 (c) 1091 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2652\/29 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - r**2 + 4. Let p be x(3). Let w(o) = 2*o**2. Let l be w(0). Suppose c - 5*b - 32 = l, 23 + 37 = 3*c + 3*b. Is c < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*t + 10 - 38 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 2*h + 15. Suppose -u - h = 1. Let x(y) = 2*y + 2 - 9 - 3*y. Determine x(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25533 + 24125 = 128*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(511\/78 + (-3874)\/596).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 331200, 1324869, 2980954, 5299449, 8280348, 11923645, 16229334?\nAnswer: 21197409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 645662.8 to the nearest 1000.\nAnswer: 646000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.08 (b) 0.3 (c) 1\/3 (d) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 2*p - 16, 21 = 4*p - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3257)\/(-15) + (-16)\/120. Suppose 3*z = 5*r + y, 0*z = 2*z - 2*r - 150. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 71090?\nAnswer: 1\/71090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 1132.\nAnswer: 12452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 183*3\/189*3 + -9. What is the closest to p in 3\/8, -2, 21, -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 5\/3, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10383*a - 16926. Let m(d) = -2073*d + 3385. Let n(r) = -11*m(r) - 2*q(r). What is the derivative of n(b) wrt b?\nAnswer: 2037","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 14099, -1, -0.02, 5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.0252 - -12. Round a to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - t + 962 = 0, 958 = -3*f + 8*f - t. Let k be f\/18*(-3)\/2. Calculate the least common multiple of 0 - k*(2 - 1) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*a*v**2*w + 4*a*v**2 + 6*a*v*w - 3*a*v + 12*a - 14*v**2*w - 11*v**2 wrt w.\nAnswer: 5*a*v**2 + 6*a*v - 14*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 423*k + 135. Let z be n(-9). Calculate the remainder when (-7)\/(210\/z) - 4\/10 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:51 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -n - 168. 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: Factor 4*l**3\/5 - 59624*l**2\/5.\nAnswer: 4*l**2*(l - 14906)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.92 + 0.08. Let w = 2.417 - 2.817. Which is the second biggest value? (a) 0.2 (b) w (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 11. Let n be c(-13). Suppose -n*p + 0*p = -2*f + 64, 0 = -4*f - p + 123. Let j = -3 + 11. Calculate the remainder when f is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+7870\nAnswer: 7866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14))\/((-45)\/(-135))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 0.35, -4 in descending order.\nAnswer: 0.35, -0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**5\/4 + 7*g**4\/12 + 10*g - 11. Let o(c) be the first derivative of i(c). What is the third derivative of o(m) wrt m?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.9 + 0.9. Let g = -11.8 - d. Which is the smallest value? (a) -2 (b) 2\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 33. Let g be (-60)\/m*(-1)\/15. Factor 8\/9 + g*n**2 - 8\/9*n.\nAnswer: 2*(n - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 + -19. Let t be (-6 + -1 - -4) + h. Which is smaller: t or 220\/3?\nAnswer: 220\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3615306.276 + 3615235.27600218. Let r = b - -71. Round r to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.07081 and 1?\nAnswer: 1.07081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, 2, -94, 4, -8, 0 in descending order.\nAnswer: 132, 4, 2, 0, -8, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 2\/3*z**3 - 23*z + 0*z**2 + 39\/7*z**7 + 0*z**5 - 99 + 0*z**4 + 0*z**6. What is the third derivative of q(r) wrt r?\nAnswer: 4680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4853671 to the nearest integer?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89105 and 2840.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204708474 by -3.\nAnswer: 68236158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1503*l - 1920*l + 3336 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - f**2 + f + 4. Let a = 319 + -319. Let s be l(a). Sort 2, -2, s, 5 in ascending order.\nAnswer: -2, 2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxtxxrrxxdxxxtx. What is prob of picking 1 d and 1 r?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**5\/20 + 2*n**4\/3 + n**3\/6 + n**2 + 3*n. Calculate h(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227862 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*3\/(-1)*1\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 4*k**2. Let z(m) = m**3 + 6*m**2 - 7*m + 4. Let f = 26 - 24. Suppose g + 21 = -f*g. Let u be z(g). Determine v(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/15)*x*x\/(x*x\/(x*x\/(x*x*(x**0\/x)\/x)*x)))\/(x**(3\/4))**(-13) assuming x is positive.\nAnswer: x**(757\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/3*(-1)\/(-2). Let v(f) = -22*f**2 + 2*f - 14. Let j(w) = -7*w**2 + w + 1. Let u(l) = -3*j(l) + v(l). What is u(r)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*k + 7*k = -60*k - 75*k - 8284 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -14 - (-1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 1404?\nAnswer: 26676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27017.5 minutes in milliseconds?\nAnswer: 1621050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1603 divided by -7\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i**(2\/25))*i*i))\/i**6)**(-16)\/(((i**(2\/17)\/i)\/i)**(-40))**(-35) assuming i is positive.\nAnswer: i**(1167056\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2218 = i, -4*i - 1104 = -2*q - i. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 8*j**3\/3 - 2. Let m(u) be the third derivative of u**5\/12 + 6558*u**2. Determine m(p(o)).\nAnswer: 320*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - -57. Suppose 0 = -7*k - 340 + q. Let r = 30 - k. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-2 + 6)\/(-4)). Suppose n = 5*t - 20, -2*t = 5*y - t + 6. Let u be ((-1)\/(6\/(-12)))\/(y*2). Which is greater: -2\/33 or u?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-8)*(-96)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1\/7, 0.2, 125?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.3. Let w = -2.9 + 3.3. Which is greater: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255484 = -85*b + 64626. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - 3*t - 9. Let z be r(4). Let l = -20 + z. Suppose -2*k - 30 = -5*c, -2*c - 3*k - 418 = -449. Is c at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q**2 + 5*q - 7. Let k(s) = -s**2 - s. Let f(v) = 5*k(v) - r(v). What is the tens digit of f(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -147*25*104\/(-27300).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2957\/7 or -421?\nAnswer: -2957\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 820 and 10380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20290371 divided by 4.\nAnswer: -20290371\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 265304521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**3\/3 + 3*i**2\/2 - 9. Let h be 19\/(-7) - 4\/14. Calculate b(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152784 and 17019501?\nAnswer: 3183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 20478298.5us?\nAnswer: 0.00023701734375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 9*s**2 + s - 7. Let g(o) = 8*o**2 + o. Let h be g(1). Let w be p(h). Suppose -2*x + w = -2. Solve 12 = -3*j, x*j = -3*n + 2 + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h - 20. Let d be m(-12). Calculate the highest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*1.4\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*j + 3. Let a(z) = 7*z**2 + 3*z + 1 - 3*z - z. What is the least common multiple of a(j) and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 82 = -0*u. Let b = 1 - u. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-2) + 0 - 32\/7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*o. Let y be (-2)\/9 - 34\/9. List the prime factors of ((-19)\/y)\/(o\/8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-11))\/4)\/(14\/28)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10590 divided by -9972.\nAnswer: 1765\/1662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 121*z**2 + 126*z - 594. Let i be q(120). Calculate the highest common divisor of 9681 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 - 4*g**3 + g**3 + 0*g**3 + 0*g**3 + 2*g**3 + (2*g - 2*g - g)*(-g**2 + 0*g + 0*g) + 2*g**3 + 0 + 0 + 339*g**3 + 9551*g - 9549*g + 2*g**2 - 42*g**3.\nAnswer: 298*g**3 + 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 408680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 21*r**2 - 16*r - 123. Is b(24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -10*m - 1. Let c be d(-1). Suppose -f - 5*x + 10 = 4*f, -3*f + 4*x + 13 = 0. Suppose 3*l = -c, -a = -3*a + f*l + 17. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 p when three letters picked without replacement from ddfddfpfppfdfppffddf?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29105128, 29105129, 29105128, 29105125, 29105120, 29105113?\n\"Answer: -s**2 + 4*s + 29105125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 8:43 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 + -209. Let f = -68 - g. Suppose 0 = -3*s - f*s + 125. Calculate the remainder when 98 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**4\/4 - c**3\/3 - 3*c**2\/2 - 2*c - 7. What is j(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (17 - 25) + -8 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2)\/((-2)\/(-8)*-2). Suppose 5*r - 983 = -o*i, -80 = -i - 2*r + 246. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5675265293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = 2*s. Suppose j - 18 = 5*b, 0*b = -2*j + s*b + 15. Let d = 10 + j. What is the remainder when 51 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 19*n - 199. Let d(c) = 23*c - 198. What is -5*d(h) + 6*i(h)?\nAnswer: -h - 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/12)\/(35\/(-63)). Let y(o) be the second derivative of -w*o**2 - 1\/6*o**3 + 0 - 2*o. Calculate y(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3.2, 0.1, -0.7, -11\/18?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 35*v + 16. Let y be n(-18). Sort 1, y, 26.\nAnswer: y, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q*x**5 + 101*q*x**2 + q*x - 220*q wrt x?\nAnswer: -20*q*x**3 + 202*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6000149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*2*sqrt(5700))\/(sqrt(147) + (sqrt(147) - (sqrt(147) + -2*sqrt(147))) + -5*sqrt(6)\/sqrt(2) + sqrt(3)))**2.\nAnswer: 1094400\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -20, 12, 64, 142, 252, 400?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*v**3 + 660 + 2*v**4 - v - 15*v**3 - 664 in the form y*v**3 + l*v**2 + a*v**4 + w + r*v and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68097?\nAnswer: 3, 22699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-15 - 5) + 20 + -16.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.85507 + 2.05507. Let c = -603\/5 - -121. Put 1\/4, u, -0.16, c in decreasing order.\nAnswer: c, 1\/4, u, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2212.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 divided by -22?\nAnswer: 79\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -9342 to the nearest 100.\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2623 divide 2043595038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.6?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x + 38*x = -4*w - 8, -4*w = 3*x - 16. Suppose x*b - b = 2112. Is b a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4549 a factor of 1137495646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -339 - -733. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 11:33 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) 4 (b) -125 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9*z + j = -1085, 434 = -2*z + 3*j. What is the tens digit of z\/(-3) + 1*5\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 538*a**3 + 59*a**2 + 534*a**3 - 2*a.\nAnswer: -4*a**3 + 59*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5520 = 4*s + 3280. Round s to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-225)\/(-135)*(-39402)\/995?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 7*v**2 + 5*v - 4. Let y be k(-6). Let h be 28\/5 - 4\/(-10). Solve 0 = y*r - 4 - h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 944 + -24547\/26. Let f = -33\/52 + g. What is the closest to 2 in 2, 3, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*f**3*j**3 - 89557*f**3 - 3*f*j**3 - 33*f*j**2 + 3*f*j + 4*f + 2*j**3 + 35*j**2 wrt f.\nAnswer: -492*f*j**3 - 537342*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0*u**3 + u**2 + 0 - 1\/20*u**5 + 0*u + 0*u**7 + 0*u**4 + 1\/84*u**8 + 0*u**6. What is the third derivative of q(x) wrt x?\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1\/5 (c) -373\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1958, 2963, 3968, 4973, 5978?\nAnswer: 6983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 8*v + 3*v - v**2 - 1. Let j be t(-11). Let u be -3*1\/(2 + -1). Sort u, j, 4 in descending order.\nAnswer: 4, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l + 0*l - l. Let z(s) be the third derivative of -1\/12*s**4 + 0*s + 0*s**3 + 4*s**2 + 0. Calculate q(z(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-8 + -10 + -5 + 0 - -8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 3*i - 6*i + (-6*i + 5*i + 3*i)*(-3 + 0 + 4) - 199 + 94 + 105 - 450*i in the form j*i + a and give j.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1298 and 22774.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 3. Let f be z(2). Let r be (-3)\/(99\/5286) - 2. Let k = r + 162. Is f greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5361519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) + 8\/32. Let c be 112\/(-5) + (-6)\/(-15). Let d = c - -17. What is the nearest to k in -0.5, -3, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-4)\/(-150)*5*1176\/(-112)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -67, 3, -13, -4, -2 in descending order.\nAnswer: 3, 0.4, -2, -4, -13, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/3)\/4)\/(328\/(-1476)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.55 - -1.168. Let q = o - 0.618. What is the biggest value in 5, q, -0.2, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 - 1639*p + 58 - 84*p**2 + 369*p**2 - 58 + 1638*p.\nAnswer: 7*p**3 + 285*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 9*b**2 - 7*b - 8. Let m = 3 - 4. Let a = 21 + m. What is the smallest common multiple of a and i(10)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85036 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajo when three letters picked without replacement from ofjfjjccoaffeccoccao?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 8:46 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40502508 is divided by 43.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2359632 or -2359633?\nAnswer: -2359633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 6 + 20. Suppose -3*w + 2*j = 3*j - 8, 5*w = -j + d. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + 18. Solve 15*j + l = 9*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/96 and -13\/370029.\nAnswer: 11840928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.4 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*g**3 - 35*g**3 + 22*g**3 + 12*g)*(0*g**2 - 4*g**2 + 0*g**2) - g**5 + 2*g - 2*g.\nAnswer: -17*g**5 - 48*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11431815.597742 take away 3?\nAnswer: 11431812.597742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*p + 2082*p - 136*p**3 - 1699*p.\nAnswer: -136*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -23 (c) -4\/11 (d) -0.4 (e) 0.2657\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.4 and 385.\nAnswer: -924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 11*j**2 - 9*j - 1. Give o(-9).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 + 3*u - 2. Determine i(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -14. Suppose 2*w + 4*a + 0 = 30, -w = -5*a - 1. Suppose g + 2*i = -2*i + w, 4 = 2*i. Sort -3, r, g in increasing order.\nAnswer: -3, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 + 24. Let p = v - 144.81. Round p to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -130 + 58 + 16*z + 17 + 55. Let h(d) = 564*d**2. What is c(h(x))?\nAnswer: 9024*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 15*f + 42. Let r be d(15). Let w = 81 - r. What is the remainder when w is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53d (base 14) in base 5?\nAnswer: -13120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134127 (base 8) to base 2.\nAnswer: 1011100001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1010*a**2 - 22152*a - 9. What is f(22)?\nAnswer: 1487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - -0.03. Let i = 0.04 - -0.26. Let a = i + l. What is the second smallest value in -0.4, a, 3\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6217\/3 - 2069. Let p(l) be the third derivative of 4*l**2 + 0 + v*l**3 + 0*l**4 + 0*l + 9\/20*l**5. Find the first derivative of p(o) wrt o.\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15506 + 0.24494. What is the third biggest value in -3\/31, -5\/4, z?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*u = -4, -11*u = -4*t - 10*u + 17. Solve -11 = -3*j + 2*r, -2*j = -t*r - 13 + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v = 0. Suppose 0*z = 5*z + 5. Which is greater: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 + 55 + 33 + v + 3.\nAnswer: -8*v**2 + v + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 107339, 429351, 966039, 1717403, 2683443, 3864159?\n\"Answer: 107338*v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 481*m**2 - 1157*m**2 + 677*m**2. Let r(n) = -6403*n**2. Give d(r(w)).\nAnswer: 40998409*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqqapppgapguqg. Give prob of sequence gq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2. Let u be 5 + (-6)\/2 + 1. Let q(x) = -2*x - 2. Let m be q(-2). Let f(z) = -2*z**m + 0*z**2 + u*z**2. Calculate i(f(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 58832?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 4 - 4 - 7*q to g*q + o and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22787 divided by 36?\nAnswer: 22787\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6121, -6141, -6161, -6181, -6201, -6221?\nAnswer: -6241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2 (b) -600 (c) -4\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 5*s + 2*s)*(2*s - s**2 - 2*s + 2 + 3*s**2 - 2 - 2 + 2 + s**2 + (-2 + 2 - 2*s**2)*(-1 + 0 - 1) - s**2 + 1 - 1).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - m + 0*m)*(2 + 1 - 2 + (3 - 5 + 4)*(1 - 3 + 0) - 3 - 3 + 5 + 2 - 6 + 2 - 4 + 2 + 0) to j + u*m and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (sqrt(972) + sqrt(972)*-1 - sqrt(12)))\/sqrt(6)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-319)\/290*(-3)\/(-6)*4. Is -1\/4 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/234 - -3*(-2)\/39. Which is the nearest to 0? (a) 0.3 (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683.4275 litres to millilitres.\nAnswer: 683427.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*u - 667*u - 475*u.\nAnswer: -1368*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-1))\/(-2 - -1). Suppose s + b*v - 6 = 4*s, -24 = -2*s - 5*v. Suppose -6*u = -4*u - 4. What is the remainder when u is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2 + 0*j**2 - 2*j - 2*j**2 - 2*j**2. Let d(i) = 9*i**2 + 5*i - 5. Let o(m) = 2*d(m) + 5*t(m). Let y(l) = 2*l. What is y(o(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1093 + 1094. Calculate the greatest common factor of q and 563.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6983 + 7264. Which is greater: r or 282?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 926440718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alel when four letters picked without replacement from {i: 1, e: 1, l: 1, n: 2, d: 1, a: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/224334 and 75\/1442.\nAnswer: 1570338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027*u - 242*u + 177*u + 3848 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 + 27 + -21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -72212 (base 16) to base 5\nAnswer: -104424344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10 = -7*v. Let w be 15\/(-4) - v\/8. Let s(b) = b**3 + 5*b**2 + 4*b + 1. Calculate s(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o**(-13)*o)*o*(((o**(-16)\/o)\/o)\/o)\/o assuming o is positive.\nAnswer: o**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-5))\/((-6)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 14*g + 456. Does 38 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -x - 5, 0 = -3*l - 0*x - 3*x + 21. Suppose 0 = 3*j - 5*v - 129, j = 4*j - l*v - 135. Calculate the remainder when j is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 15221*z**2 - 57927320*z + 57912100.\nAnswer: -(z - 7610)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 2)*(-3 + 0 + 1) + 7 + 1 - 1)*(1 + 3 - 2)*(3*v + 2*v - 4*v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 323974 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624392\/132 - (-2 - -6)?\nAnswer: 2, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-12))\/1*3. Let r(u) = -u**3 - 2*u**2 - u. Let i be r(z). Suppose 5*c = -5*j + 50, i*j - 10 = 2*j. Calculate the remainder when 42 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoayakk. What is prob of sequence aakk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 8*k**2 + 11*k + 3. Calculate q(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1\/2, -1\/2, 3.8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2757, 5647, 8865, 12411, 16285, 20487, 25017?\n\"Answer: 164*p**2 + 2398*p + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43480307 divided by -1?\nAnswer: -43480307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3339, -13358, -30067, -53472, -83579, -120394, -163923, -214172?\nAnswer: -271147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/40)\/((-18)\/(-15))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 + 4 = 4*d, 4*p = 12. Suppose 2*l - d*l + 3*m + 11 = 0, 2*m + 9 = l. Is 6383\/l - 8\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233809 is divided by 233794?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-7 - -51))\/(-5 - 28\/(-8))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 11*r = 2*r - 9, -11*k + 10*k + r - 3 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**6\/120 + t**5\/60 + t**4\/8 - t**3\/3 + t**2. Let k = 1652 - 1649. What is r(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilf when three letters picked without replacement from {f: 8, u: 1, l: 2, a: 5, i: 3, y: 1}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.0523, 0.1, -1, 127 in decreasing order.\nAnswer: 127, 0.1, 0.0523, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3741 rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 29 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6*y - 85 = -y, -z = 4*y + 3. Suppose z = -2*w + 5. Let c = -5 + 3. Is c bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**6\/3 - 7*j**5\/10 - 81*j**4\/8 + 67*j**3\/6 + 77*j**2\/4 - 30*j - 241. Solve w(m) = 0.\nAnswer: -4, -1, 3\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 3*b - 8*b - 4*a, 2*b = -2*a - 66. Let w = b - -48. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50*-1 + -17*(-5)\/85*11\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g**(4\/3)\/g)*g*g\/(g*g*g**(1\/5)*g)*g**(-14)*g**(-14)*g*g assuming g is positive.\nAnswer: g**(-383\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31801735011 rounded to four decimal places?\nAnswer: -0.318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + t - 31, -2*t + 4*t = -3*m + 35. Let j(d) = d**3 - 9*d**2 - d + 13. Let r be j(m). Suppose -3*f = -r*f + 97. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 170996 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 0 + 0)*(-2*d - 3*d + 4*d) + 10 - 10 + 5*d**2 - 5*d**2 + 6*d**2 - 2*d**2 - 37*d + 37*d + 40*d**2 to the form l + b*d + q*d**2 and give q.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*v + 62 + 156 + 34 = 0. Sort 1, 2, v, -11, 5.\nAnswer: -11, 1, 2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 375848 and 1144?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -831 (base 16) to base 6.\nAnswer: -13413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27*0.05154835\nAnswer: -1.39180545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2459 + -2447. Solve 5*z - 20 = 0, -c = 9*q - 8*q - 4*z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32638 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129 + 349. What is the greatest common divisor of 88 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (-1 + -7 + 0) - -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b + 4. Let c be d(6). Is (-1 + -1)*c\/4 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by (3\/(-2))\/(8\/(-16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(153)*-1 + -2)**2 + -3.\nAnswer: -160 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111000011111 + 1111001100?\nAnswer: 110000111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1094, -229, 632, 1489, 2342, 3191?\n\"Answer: -2*y**2 + 871*y - 1963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 14. Suppose 24*x - 23*x - 3 = y. Let u be ((-14)\/4)\/(4\/(-8)). Solve -x*p - 2 = u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 9) in base 4?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 + 96. Suppose 3*a - 13 = q, a + 1 = 2*q + 2. What is the third derivative of -24*p**5 - 911*p**q - 4*p**5 + 942*p**l wrt p?\nAnswer: -1680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 6, c: 9}. Give prob of picking 1 c and 1 h.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kummmukkm. What is prob of sequence uk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 5*p = i + 227, -i - 3 = 0. Suppose -8*c + p = -22*c. Let d(u) = u**3 + 5*u**2 + 2*u - 3. Give d(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*60\/50*10\/(-4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3 - 844*x**2 + 11228*x - 38612 = 0 for x.\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 3*a**2 - 2*a**2)*(6*a**3 + 4*a**3 - 4*a**3) + 2*a - 3*a**2 - 57 + 118 - 63 + a**5.\nAnswer: 13*a**5 - 3*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 607 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from {l: 2, i: 3, p: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 172, 147, 102, 31, -72, -213?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64 and -0.053?\nAnswer: 3.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + sqrt(108) + (sqrt(108) - (sqrt(108) + 2)*6) + sqrt(108) + (6*(sqrt(108) + -4*sqrt(108)) - sqrt(108)))**2 + 5.\nAnswer: -157399 - 11088*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3938713 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: Let b(k) = 3*k - 15. Let g be b(0). Let l be -1*(g - -3)\/3. Suppose 4*a - 2*m - 8 = 0, a + 5*m = l*a - 20. Solve a = -u - 4*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -2*s + 1328. Let x = s + 148. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 7*o**2 + 7*o - 3. What is i(7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x - 462. Let q be (-6)\/(-16)*x\/42. Let c = q + 9\/8. What is the nearest to 1\/3 in 3, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((86\/(-129)*3\/6)\/(-1))\/((-55)\/(-3))?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 13 (c) 5 (d) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a*a\/a**(-6\/7)))\/a))**45\/(a**2*a)**46 assuming a is positive.\nAnswer: a**(249\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0. Suppose -i + 5 - 2 = a. Suppose i*c + 52 = 202. What is the highest common divisor of c and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08201633*-3\nAnswer: -0.24604899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, -4, -63, -178, -367?\n\"Answer: -3*z**3 - z**2 + 3*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - -5 - (-289 - -228)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 101751.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 + t**2 + 18 + 3*t - 3*t**2. Is 19 a factor of c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6569 - 6611 - (-3 + -11).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915*w - 766*w + 946*w + 9296 + 9319 = 0 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 101*t**2 + 2245*t - 36. Give u(33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.67 + -0.03. Let z = -1 - t. Let h = z + 0.4. What is the smallest value in h, -0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.3165 and -59.\nAnswer: -65.3165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 58 (b) 0.4 (c) -30\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 94.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 18*r. Let j(k) = -8090 - 3*k + 8090. Give d(j(s)).\nAnswer: -54*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p - 312 = -94*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 2*q - 7. Let a be w(-5). Suppose 0 = d - 3*d + a. Let v(o) = o - 1. Calculate the remainder when v(12) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w + 15. Let d(a) = 485 - 237 - 4*a - 232. Calculate 3*d(l) - 2*x(l).\nAnswer: -2*l + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*g + 4*g. Is (6\/(-4))\/(-6*g\/(-48)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**6\/15 - 111*g**5\/20 - 25*g**4 + g**2\/2 - 929*g. Find the third derivative of k(u) wrt u.\nAnswer: 48*u - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 4*x, -2*a - 9 = 5*x + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 1. Let c(z) = -z - 1. Let p(n) = -2*n**2 - 4*n - 2. Let u(t) = -14*c(t) + 3*p(t). Determine -5*m(g) - u(g).\nAnswer: g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 12*l**2 + 152*l + 1582. What is y(-12)?\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (4 - 10) - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -260.5 times 5?\nAnswer: -1302.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -118769.32 to the nearest one thousand.\nAnswer: -119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80057677 is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -5c93b1?\nAnswer: 5c93b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -278.45 + 4.45. Let l = 274.0639 + r. What is l rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44084 + 44082. Let c(n) = n**3 - 3*n**2 - 4*n + 3. Let a be c(4). Sort 7, l, a in descending order.\nAnswer: 7, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 41*v - 48*v + 1 - 2*v**2 + 0. Let m be u(-3). Solve -3*d + m = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 + 325\/125. Suppose 2*w - 3*d = 2*d - 2, -r*w = -4*d - 11. Suppose 84 = w*h - 7*h. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b. Let v(g) be the third derivative of 7*g**5\/60 + 3*g**2 - 14. What is v(j(l))?\nAnswer: 567*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/37720 and 3\/5192?\nAnswer: 24480280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrhrhrmzr. Give prob of sequence rmz.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106035 is divided by 2765?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -34*y**2 + 13*y - 5. Let a(c) = -c**2 + 2*c - 1. Determine 5*a(t) - s(t).\nAnswer: 29*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/5 - 3*h**2 + 24*h\/5 - 12\/5.\nAnswer: 3*(h - 2)**2*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-2)*3612\/2709?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3 + 3*k**2 - 3. Let l(m) be the second derivative of m**4\/8 + m**2 - 2*m. Let a(h) be the first derivative of l(h). Give a(f(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*y + 112*y = -2, 1153*y - 9 = -h + 577*y + 571*y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyk when three letters picked without replacement from {k: 2, s: 1, y: 8, u: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24783471?\nAnswer: 3, 2753719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1509975 or 1509947?\nAnswer: 1509947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2898442 - -9.\nAnswer: -2898433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/355198 and 67\/83576.\nAnswer: 1420792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 252028813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 18*j - 1. Let f be b(6). Let p be -58*(f - -4)*3\/(-18). What is the derivative of -p*n**4 - 20*n**4 + 1 + 66*n**4 wrt n?\nAnswer: 68*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/42)\/k**(-3\/16))\/((k**2*k*k**5)\/(k\/(k*k**(2\/3)\/k*k)*k\/((k**(1\/4)*k)\/k)*k*k)) assuming k is positive.\nAnswer: k**(-639\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 + 44*m**2 + 226*m + 1272\/7.\nAnswer: -2*(m - 159)*(m + 1)*(m + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.07451038 + -0.4\nAnswer: -0.47451038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*m + 124. List the prime factors of m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 7:13 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v. Let m be (-12 + 0)\/((-1)\/2). Let h(b) = 25*b**2. Let o(s) = -126*s**2. Suppose -20*t = 45*t - 325. Let n(y) = m*h(y) + t*o(y). Give n(z(q)).\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 408743517 a multiple of 5805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) -2\/17 (c) -424\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/4 - 325*r**4\/2 - 1671*r**3 + 13690*r**2 + 112600*r - 264000 = 0.\nAnswer: -10, 2, 8, 660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 9:31 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 3:57 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6*h - 2 + 3, 54 = 3*o + h. Solve 6*z - 11*z = -3*n - o, 0 = 4*z - 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118 + -319. Let g = 200.99999917 + d. What is g rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*s + 70*s - 158*s as q + o*s and give o.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**2 + 9*l + 65. Give s(-10).\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 46. Solve -4*i + k - 6 = 0, 0 = -n*i - 0*k + 5*k - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 1:52 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -5*y**6\/6 + 20*y**5 - 355*y**4\/2 + 2140*y**3\/3 - 2525*y**2\/2 + 1000*y + 2504. Find s, given that v(s) = 0.\nAnswer: 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77827 is divided by 1131?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 250 + -162. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 4*w**2 + 8*w - 4. Let j(h) = 2*h**3 - 3*h**2 - 9*h + 3. Let a(b) = 2*j(b) + 3*n(b). Let r(g) = g - 6 + g**2 - 1 + 6. Calculate a(d) - 6*r(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -22*u + 1. Let i(n) = -n**3 + 4*n**2 + n - 3. Let g be i(3). Let w(o) = -45*o + 1. Let r(v) = g*l(v) - 4*w(v). Is r(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -23*f - 4*f**3 + 52*f + 3*f**3 - 4 - 30*f. Let w(o) = -o + 8. Let q be w(10). Let a be l(q). Solve v - 7 = s, -3*s - 20 - a = -4*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -248.573 - 0.427. Let j = 249.2 + v. Put j, 12, 1\/6 in ascending order.\nAnswer: 1\/6, j, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 13303041?\nAnswer: -13303032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + z + 5. Let g(i) = 4*i**2 - 4*i + 3. Let n be g(2). Let q(y) = 6*y**2 + 6*y + 24. Let l(m) = n*d(m) - 2*q(m). What is the units digit of l(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27350 is divided by 49?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129880686.\nAnswer: 2, 3, 13, 1665137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 9*g + 13. Let m = 2 + 0. Let f be (-3)\/(-6) - 21\/m. List the prime factors of p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580612*b - 2*b**3 + 0*b**3 - 6 + 1.\nAnswer: -2*b**3 - 580612*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**2)**(-49)\/((f*f**(-3\/8)*f*f*f**3\/f)\/(f*f*f*f*f**(-2)*f*f)**(13\/3)) assuming f is positive.\nAnswer: f**(-2047\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -423.052 to the nearest ten.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 361 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131535 - 131535 + 17*l.\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4747\/24706 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 7*m**2 - 6*m + 5*m + 7*m**2 - 2*m**3 + 8. Let n be o(14). What are the prime factors of 22*(3\/n + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4150 - -4149. Suppose -4*p = -7*p + 3*s - 12, 2 = -s. Let x be ((-11)\/p)\/1 + -2. What is the nearest to y in 11, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + sqrt(55)\/(sqrt(11)*1) + sqrt(5)))**2.\nAnswer: -320*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 4*n**2 - n - 1. Let g be m(4). Let u(k) = k + 4. Let q be u(g). Let j = 18 + q. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55740, -111462, -167178, -222888, -278592?\nAnswer: -334290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 989 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (4 - 0)) + (-2 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189328 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1125 and 1087200.\nAnswer: 5436000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8*(2\/8 - 10\/(-8)). Let s be 6\/(-36) - (-290)\/m. Suppose -4*w + s = -4*i, i = 3*w - i - 15. Solve 5*r = w*q - 0 + 14, -26 = -4*r - 5*q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3989, -3822, -3655, -3488, -3321, -3154?\nAnswer: -2987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f + 4. Let y = 18 + -12. Let s be y - (-1 + 1 - -3). Suppose 2*d - 8 = -5*r + 20, s*r - 4 = 2*d. Calculate a(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -573*f - 5. Let u be s(5). Let c be 692\/u - 2\/7. Let d = c + -3\/41. What is the third smallest value in 0.1, -1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -70. Let w = 6.95 + 0.05. Let h = w - 7.2. What is the third smallest value in -0.3, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 61, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 707 + -727.32. Let h = -20.1 - v. What is h rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*h, 5*k - 19 + 3 = -h. Let u be 46\/(-276) + 1201\/(-2910). Let l = -2\/97 + u. What is the second biggest value in k, 3\/4, l?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 16) to base 3.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52816 and 119664?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2\/4 + 155*g\/4 - 4900.\nAnswer: 5*(g - 49)*(g + 80)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -70 and -22 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17577629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-22 - -35 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*v - 9 = 0, -4*v = 5*m - 18 - 4. Is m greater than or equal to -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6438270 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: Let c(x) = -43*x - 1. What is the units digit of c(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 200 = -4*z, 0 = -2*z + 5*t + 38 + 62. Which is greater: z or 49?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 0*b + 0*b + 2*b**3 - 2*b**2 + 2*b**2 + (3*b + 2*b - 3*b)*(-4*b**2 + 2*b**2 - b**2) + (-9*b**2 + 11*b**2 - 6*b**2)*(0 + 0 - 3*b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.043515 + -0.456485. Let o = 0 + -0.4. Let r = -1 + 0. What is the third smallest value in r, -4, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -4)*1 + 237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 10*i + 90405, 0 = 113*k - 108*k - i - 90438. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1096565 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -685 - -1355. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*i**3*z**2 + i**2*z + 25*i*z - 1262*z**2 with respect to i.\nAnswer: 24*i**2*z**2 + 2*i*z + 25*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22542897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3082\/11 - 280. Let d = -1230.4 - -1230. Sort d, 2\/5, x, -5 in descending order.\nAnswer: 2\/5, x, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91aa (base 13) to base 5.\nAnswer: -1120312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14775\/(-394)*1\/(-3)*(-6)\/105?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 47*y**2 + 4*y - 1. Let o be z(-2). Let q(d) = -220*d + 80. Let k be q(-3). Suppose 2*f = -2*p + 313 + o, 3*p = -f + k. List the prime factors of p.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/((-96)\/20) + (-165)\/(-180))*6. Put 0.1, m, -1.3, 2 in decreasing order.\nAnswer: 2, 0.1, -1.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 5*y**3\/3 - y**2\/2 - 3*y - 451. Calculate b(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-13 - -12) + (9 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.376689 - 2012.\nAnswer: -2012.376689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 89*h**2 + 16*h + 18446. Determine z(-91).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.406 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*m - 7*m - 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 12\/10 - 44\/(-60)*3. Sort -10, -4, q, 4, -19 in ascending order.\nAnswer: -19, -10, -4, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 20*s**2 + 25*s + 115. Let l(t) = -9*t**2 - 3. Give 2*l(m) + p(m).\nAnswer: 2*m**2 + 25*m + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 5?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*v - 121, -r - 5*v = r - 254. Let u be (r\/16)\/((-130)\/(-12)). Let q = -1\/104 - u. Which is the closest to -0.1? (a) q (b) 0.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s + s - 2380656 = -25*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 = 1, 5*z - 2*d - 3 = 0. Let h(n) be the second derivative of -n**4\/12 + n**3\/6 - 4*n. Let s be h(z). Solve 6 = -3*p - s*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 255740 - 47?\nAnswer: 255671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12432731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 2*x**3 + x + 10*x**3 - 143*x + 143*x + (1 + 2*x - 1)*(-2*x**2 + 0*x**2 + 0*x**2) as m*x**3 + z*x + i + y*x**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 4. Suppose -i + 43 = -5*z + 153, z - 5*i - 22 = 0. Let a be ((-28)\/(-3))\/(-2) + z\/33. Determine k(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.0799 (b) 4\/9 (c) -3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + 0. Let p = f - -1.99. Suppose 2*j = -2*g + 10, -3*g - 2*g = 0. What is the biggest value in j, 3, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 10*w - 27*w + 17*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/21 and 13\/63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 14. Let b = 8 + -8. Let n be s(b). Let q = 21 + n. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 7*i = 12095 - 11933, 4*i - 81 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*j - 224. What are the prime factors of 6\/((-12)\/j*-9 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 2\/27 in descending order.\nAnswer: 3, 1, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c + 6 + 204 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 2*o**2 + 1)*(7*o**2 + 3*o**2 + 5*o**2) to a*o**4 + d*o + z*o**3 + j + l*o**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9 (b) -4 (c) 1 (d) 0 (e) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + sqrt(784)*5 + -4*sqrt(64))\/(3*(sqrt(968) - sqrt(968)*-3)*2).\nAnswer: 7*sqrt(2)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 31442 divided by -31442\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**3 + l**2 - 6*l + 5. Let m be h(-6). Calculate the highest common divisor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2446, 6124, 11036, 17182, 24562, 33176, 43024?\nAnswer: 54106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(475) - sqrt(209)\/sqrt(1331))**2 + sqrt(133)\/(-1*((sqrt(7)*4 - sqrt(7)) + sqrt(7)))*2.\nAnswer: -sqrt(19)\/2 + 225739\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a - 13. Let v be u(-4). Let g = v + -12. What is the units digit of ((-726)\/77)\/((-1)\/g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 5:22 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1814.4 + -1813.2. What is the smallest value in -1, 2, 0, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 15 + 10*s + (1 - 1 + s)*(0 + 0 - 2) + 2*s - s - 2*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156375 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -496 + 501. Suppose w*c = -3*c + 24. Solve 4*g - 4 = c*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309411015 by -14655.\nAnswer: 21113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*n - 31 = 0, 116*h + 3*n = 115*h - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 315251?\nAnswer: 315244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42 + 5?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 5*d**2 - 2*d + (d - 1 + 1)*(-5*d - 6*d - 4*d) + 2*d - 2*d - d**2)*(1 - 3 - 4 + 1).\nAnswer: 105*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(325) - (-1*sqrt(325) + 3))**2 - sqrt(325))*-5 - (-1*sqrt(325)*4)**2*-5) + 1 + 4.\nAnswer: 325*sqrt(13) + 19457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*o = o - 58 - 398 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (1 - -5 - (-1 + 12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-22) + (-1026844)\/(-572) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -21*x**5 + 92*x**3 + 56*x**3 - 80*x**4 - 208*x + 152*x**2 - x**5 - 22*x**5 + 5 + 27 = 0.\nAnswer: -2, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from aldmjds?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.856564 - -0.7047.\nAnswer: -3.151864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = -4*v, 4*w - 17*v - 6 = -19*v. Sort -20, 1, w, 3.\nAnswer: -20, 1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(1\/3))\/(15\/(-20)). Let x(s) be the second derivative of s + 0 - 1\/75*s**6 + 1\/30*s**g + 0*s**2 - 1\/15*s**3 + 1\/50*s**5. Factor x(v).\nAnswer: -2*v*(v - 1)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r + 3. Let n(w) = w - 1. Let a(k) = -5*n(k) - 2*q(k). Suppose 5*x = -v - 29, 2*v - 23 = 4*x + 3. Determine a(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - m)*(0*m + 2*m + 0*m) - 2*m - 8*m**2 + 2*m + 10 - 3*m**2 - 10 - 4*m**2.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 - -12?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 15. Let z(c) = 2*c + 14. Calculate -6*h(y) + 7*z(y).\nAnswer: 2*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4657 divided by -365\nAnswer: -4657\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -580\/17 - -34. Let s(d) = 3*d**2 - 22*d + 36. Let t be s(5). Let o be (-5)\/(-6) + t + (-8)\/6. Put -9\/5, o, h in ascending order.\nAnswer: -9\/5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 29 - ((-13 - -7) + 9). Suppose -119 = t*c - 9*c. Let n(w) = -w**3 - 6*w**2 + 7*w - 7. Give n(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2091*-22.\nAnswer: 4.6002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from sssssddosscsxdsssx?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053 is divided by 71?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14973 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 - 20*k**2 - k + 12. Let a be d(10). Suppose -a*w = 3*z - 5 - 62, -z + 25 = 2*w. Solve 0 = -2*u - z + 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -125955.35953?\nAnswer: 125955.25953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155252329 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3956 and 736.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 438 + 10*z**2 - 2*z - 438 + 16*z**3. Let r(o) = -64*o**3 - 40*o**2 + 9*o. Let y(m) = -18*h(m) - 4*r(m). Find the third derivative of y(k) wrt k.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a tonne in kilograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3265, 6597, 9959, 13351, 16773, 20225?\nAnswer: 23707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72602, -72532, -72464, -72398, -72334, -72272, -72212?\nAnswer: -72154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 17 + -7 - (-8 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 (base 5) in base 2?\nAnswer: 11010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2770973 to the power of 1\/2, to the nearest integer?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w**4\/7 - 2*w**3\/7 - 78*w**2\/7 + 14*w - 24\/7 = 0 for w.\nAnswer: -4, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10189?\nAnswer: 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**6\/3 + 1647*m**5\/5 + 93*m**3 + 4*m + 2258. Find the third derivative of s(h) wrt h.\nAnswer: 120*h**2 + 39528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112718 a multiple of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37b3 + -a?\nAnswer: -37c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**4\/4 - 49*d**3\/4 - 908*d**2 + 9261*d + 35604 = 0.\nAnswer: -46, -3, 12, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 9 = 2*u, -3*u + 4*u - 4*j = -9. Suppose 5*l + 3*a = a + u, 0 = a + 1. Let r(v) = 1587*v - 2. Let n be r(0). Sort 3, n, l in decreasing order.\nAnswer: 3, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 233383*l**3*v - 1993*l**3 - 47*l wrt v?\nAnswer: 233383*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765780 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: What is 15466215 minus 21522668?\nAnswer: -6056453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1 = 3*d + 7, 0 = -4*d + 4*n + 24. Suppose 5*l + 41 = 3*a, d*l = -a - 2 + 1. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (-45 + 6 - -55).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -10*z + 566. Give g(56).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.16 (b) -1\/4 (c) -28\/15 (d) -0.3 (e) 175\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, 0.039 in decreasing order.\nAnswer: 5, 0.1, 0.039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-369)\/36*(29 + 595\/(-21))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 8. Let f be l\/4 + 13\/(-4). Let i be 6*(-2)\/12*f. Solve -i*u + 0 = -3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 220 = -3*m. Is m*(4*1 + (-12)\/(-48)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 3\/27127391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19854080 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(136\/108)\/(-17).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 62981504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 91677.35 centuries?\nAnswer: 9167.735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3128)\/138)\/(-34))\/((-5)\/(3825\/(-6)))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/(-28) + 2\/8 + 61 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 4*g**2 - 2*g - 3. Let x(u) = u**3 - u**2 - 1. Suppose 0 = -3*l + 15, -6*k + k - 10 = -3*l. Suppose 0 - k = -d. Determine d*h(r) - 3*x(r).\nAnswer: -r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x + 12 = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14183 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*k + 3*z, -43*z + 47*z + 23 = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*n - 16. Let b be (-35)\/n + (-8)\/(-72). Suppose 5*s - 9*s = -b. Solve -21 + s = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144042?\nAnswer: 2, 211, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4578)\/(-189224))\/((42\/(-8))\/7)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3\/2 + 18*h**2 - 259*h\/2 - 147 = 0.\nAnswer: -42, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*i - 2950 = 13008 + 3994 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 1094840141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 11:33 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j - 15*j = 15086. Let q = 2236 - j. What is the highest common divisor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -154, 4, 6, 50 in increasing order.\nAnswer: -154, 4, 6, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-26))\/((-1704)\/(-11076))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 6) + (0 + 0 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -257, 2 in decreasing order.\nAnswer: 2, -5, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 464 by 58.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1000550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5977 + -4220. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 162231.9 and -73.\nAnswer: 162158.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**2 - 53705680*p - 107411376 = 0.\nAnswer: -2, 13426422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6011, 12018, 18025, 24032?\n\"Answer: 6007*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 63 and -35020.\nAnswer: -2206260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8454 - 8486.907. Let d = r - 0.093. Let k = d - -32.2. What is the closest to -1\/3 in 1, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1144 + 2652 + 1109 + 2849)*(r + 3*r - 3*r)*(2*r**2 + 2*r**2 - 2*r**2) as l + k*r**3 + f*r + a*r**2 and give k.\nAnswer: 10932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.0667 times 0.035\nAnswer: 0.0023345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1452 >= 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 - ((-1 - -3 - -5) + -3 + (-47 - -34)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c**2 + 14*c**2 - 112*c**2)*(-18 + 30 + 50 + 19).\nAnswer: -7290*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32704.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2. Let b = -69 - -76. Let s(q) = -24*q - 4. Let u(p) = 48*p + 7. Let y(k) = b*s(k) + 4*u(k). Determine x(y(t)).\nAnswer: -1152*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6 = -34. Let o = z - -47. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*t**3\/11 - 320*t**2\/11 + 2848*t\/11 - 768\/11 = 0. Calculate t.\nAnswer: -8, 12\/43, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5*a**3 - 2 + 2 + 1 - 2.\nAnswer: -5*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 63*w + 5. Calculate o(-62).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + z - 18. Suppose -b - z + 31 = 0. Suppose s + 245 = 5*y, 2*s - 60 = -0*y - y. What is the greatest common divisor of y and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -2*p**5\/15 - 8*p**4\/3 - 128*p**3\/9 + 66. Determine f so that m(f) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 3 + (0 - 0). Is ((-2230)\/(-20))\/(2\/(-12)*s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3\/7 - 1023*x**2 = 0?\nAnswer: 0, 7161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w + 2. Let t(l) be the first derivative of 15*l**2\/2 + 3*l + 2. Let g(r) = -5*b(r) + 3*t(r). Calculate g(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3117 + 205*f + 3448*f + f**2 + 3119 + 458*f.\nAnswer: f**2 + 4111*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5469 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: List the prime factors of 7972513.\nAnswer: 23, 251, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from qqtqqqaqqqq?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n + 14. Suppose 3*a + 2*a - n = -3*o, o = 4*a - 18. Let h be (-4)\/2*-1 - o. Solve d + 3 = h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*o**3 + 36*o**3 - 102*o**3 + 35*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 + 68. Which is the closest to -1? (a) 1\/4 (b) -17 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 30.94. What is s rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33 + -223?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9*n**1)\/(n*n\/(n**(-3)*n))**(1\/5) assuming n is positive.\nAnswer: n**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 26\/(-4))\/((-3)\/6). Solve -z = 2*d - 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138 + -8. Suppose 0 = -3*y + 128 + z. List the prime factors of y.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 0.0985 (c) -3623\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129*q + 23*q - 41*q)*(3*q**2 + 0 + 0).\nAnswer: 333*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.199 - 1.269. Let m = -0.07 - t. Let o = -1.665 + 3.665. What is the nearest to m in o, -0.5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 511, -3, -6, -2, 42 in decreasing order.\nAnswer: 511, 42, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9249 - 9248. Which is the closest to -2\/15? (a) 3\/5 (b) j (c) -0.11 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 - 4*o**2 + 2*o**2)*(-4*o + 4*o - 6*o**2) + o**4 + o**4 + 0*o**4 to the form k + u*o**2 + r*o**3 + f*o**4 + t*o and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8776073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -o + 5*z + 29, 5*o - 3*z - 145 = 0. Calculate the remainder when 150 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -22*k**3 + k**2 - k. Let w(n) = 2*n**2 + 6*n - 7. Let q be w(-4). Give r(q).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10927 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -2*a - 11, -5*a + 3*b - 19 = 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 166096597 and -0.26.\nAnswer: 166096596.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40310\/(-525) - 6\/(-9)) + 8\/20. Is -76 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2167*k + 119234. Calculate h(55).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 a when four letters picked without replacement from bbbbbbbbbabaaaafbaa?\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 1935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12657842 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: What is -4911.2 rounded to the nearest ten?\nAnswer: -4910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21 - -4*3\/(-4). Let m be (2 + 30\/(-9))\/(p\/81). Is 1 - 1 - 648\/m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -6*r**5 - 31451*r**4 - 41212585*r**3 + 6969225*r**2 + 130449791*r - 96174974 = 0.\nAnswer: -2621, -2, 1, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -644, 1, -3, 3219 in ascending order.\nAnswer: -644, -3, 1, 3219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 10. Suppose 0*u - 5 = l*u. Find the common denominator of u - (-2 - 46\/(-40)) and 45\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryr when three letters picked without replacement from {y: 15, r: 5}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 8 = r, -5*n - 2*r + 372 = 0. Suppose -4 = -f + 3*f. Let o be 3 - -15 - (f - -1). Calculate the highest common factor of o and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79 + 78.83. Is z > -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 5861*c**9\/504 + c**5\/60 + 5*c**4\/4 + c**3\/2 - 15*c**2 + 44*c + 3. What is the third derivative of v(j) wrt j?\nAnswer: 703320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2635)\/(-360))\/(-17) + (-21)\/(-56).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 599*q**4 + 31*q**5 - 599*q**4 + 2*q**3 + (-q**5 + 2 - 2)*(4 + 0 - 5) + 2*q**2 - q**5 - 2*q**2.\nAnswer: 31*q**5 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2 + 1856*u + 861184 = 0 for u.\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 9*w**2 + 9. Let m be z(-8). Suppose -m*p + 78*p = 15. Let i = -0.1 + -0.9. Which is the closest to i? (a) p (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211212111 (base 3) to base 9.\nAnswer: -84774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(2\/5)\/r)\/r)**(2\/61))**(-11\/7))**(-2\/53) assuming r is positive.\nAnswer: r**(-352\/113155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 872219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffvfffvfyffy. Give prob of sequence yvfy.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1147 = -366*h + 2513 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 225977767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234227.\nAnswer: 7, 33461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-490)*(-5)\/(-2)*252\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*120\/520?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83543091*q**3 + q - 103351075 wrt q.\nAnswer: -250629273*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + 140*c + 141*c + 3 - 278*c + 2*c**4 to the form m*c**4 + u + b*c**3 + g*c**2 + z*c and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2. Let y(t) = 6 - 6 + 471*t - 226*t. Determine l(y(m)).\nAnswer: -180075*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.07 + 4. Let j = p + -0.33. Let q = -0.9 - 0.1. Sort j, q, -0.5 in decreasing order.\nAnswer: j, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 124, 157, 174, 169?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (1 - -7) - -2. Suppose i = g - 9. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.11 (b) 0.01 (c) -1\/22 (d) 25 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 90 = -12*d. Factor -19 + 29 - 70*u**3 - 5*u**5 - 45*u + 16*u**4 + d*u**4 + 4*u**4 + 80*u**2.\nAnswer: -5*(u - 2)*(u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/25)\/((-6)\/(-20)). Solve -p*j = 2*l - 3*l, 3*l = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.239 to 0 dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + 1 + sqrt(16)\/(sqrt(24)\/sqrt(3)*-4 + sqrt(8)))**2.\nAnswer: -10*sqrt(2)\/3 + 227\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ypmmmmmpmmmwwmxuupm?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 + 15 - l**2 - 17 + l + 4*l**3 as i*l**3 + n*l**2 + k*l + f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 16. Let y be n(-17). Let g(m) = -6*m - 2. Let i be g(y). Suppose 4*p + u - 8817 = 0, -3*p = p + i*u - 8832. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1506 + 892 - s + 3*s - s**2 + 750 + 786 to the form w*s**2 + j*s + c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 320431 - 10402?\nAnswer: 310024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8 = -5*t. Suppose -3*l + t = -2*l. Let q = 14 - 9. Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -59, -116, -175, -236, -299?\n\"Answer: -o**2 - 54*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 0 + 0 + ((-3 + 4 + 5)*(2 - 2 + z) - 1 + 1 + 2*z + 4*z - 6*z + 4*z)*(-4 + 1 - 1).\nAnswer: -39*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 27164472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2224, -4463, -6702, -8941, -11180, -13419?\n\"Answer: -2239*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3939\nAnswer: 1\/3939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26 and -0.057.\nAnswer: 25.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 5*m - 7 = 0, 2*m = 5*j - 289 + 272 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvuuvvvvuuv. What is prob of sequence vuv?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2610\/(-87))\/((-125)\/(-300))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -468, -938, -1408?\nAnswer: -1878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6564 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3299976.59893 + -3299950. Let f = 26.6 - x. Round f to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-24)*(-2)\/(-36). Is a at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 + 1\/((-1)\/(-2)). List the prime factors of z + 1 - -4 - -64.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + 2*sqrt(192) + sqrt(192) + sqrt(192)*2 + -3)**2.\nAnswer: -1920*sqrt(3) + 19344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5728448?\nAnswer: 2, 11, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*z = -11854 + 11899, -4*z + 25 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - (5 + 2 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 26*f + 11. Let b(i) be the second derivative of -3*i**3\/2 - 2*i**2 - 14*i. Let g(x) = -11*b(x) - 4*k(x). Let p(q) = -q. Determine p(g(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1916 + 2038. What is the lowest common multiple of n and (6 - 3)\/(6\/8)?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2044891 and 1427?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1778 - -1777.6. What is the nearest to 1 in 2\/9, n, 2\/27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 0. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*h - 3 - 2)*(2 - 2 + 2*h) in the form t + v*h**2 + d*h and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spsspps. Give prob of sequence sps.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 2*o**2 - 2*o - 1. Let i be j(-2). Suppose l + l = 5*h, 0 = -h + i*l. Solve 7*c - 3*c + 8 = h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 45*x - 16*x as v*x + k and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-7)*((-63)\/(-6) - 14). Let z be (0 + k\/6)*(-21)\/(-14). Determine m so that -24\/11*m + 72\/11 + 2\/11*m**z = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2003 - 1030 + 20*n - 973.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fogbopbofggoff. What is prob of sequence pbo?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.64749315 rounded to two dps?\nAnswer: 1.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -5 (c) 1 (d) -0.3 (e) -0.08605\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/9)\/((-3)\/2214). Let l = -8232 - -8244. What is the greatest common factor of l and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3081 = -12*b - b. What is the greatest common factor of b and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -502*i**5 + 2839*i**3\/3 - 9324. What is the third derivative of d(v) wrt v?\nAnswer: -60240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**4 + 32420 - 306*m**3 + 1235*m**3 - 32422 to j*m**3 + v*m**2 + a + y*m**4 + t*m and give j.\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**3\/9 + 98*o**2\/9 - 68*o\/3 = 0.\nAnswer: -51, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 371455 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/(6355\/93))\/((-1)\/(2\/21))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 189570223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -307 - -309. Let t(p) = p**2 - 12*p + 5. Let u be t(0). Solve g - n = -4, 0 = -u*a - 3*g - 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 8 = -2*b, w - 14 = 2*b + 3*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-786)\/48 - (4\/24 - (-13)\/(-24))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6467213 is divided by 1582?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1054 is divided by 346?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -258*k + 12*k**2 + 258*k + (k - k + k)*(3*k - 3*k - 3*k) - 4*k**2 + 3 - 3 as w*k**2 + m + u*k and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-242)\/11 + 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46, -26, 14, 80, 178, 314, 494, 724?\n\"Answer: p**3 + 4*p**2 + p - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 100.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/23, -31, -6.\nAnswer: -31, -6, -6\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - (-7)\/(70\/(-110)). Let t be (-1*(-2)\/2)\/8. Sort -1\/7, t, n in ascending order.\nAnswer: n, -1\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -2\/7, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 58610*g + 3. Let u(n) = -967*n. Determine u(c(m)).\nAnswer: -56675870*m - 2901","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g. Let d = -190 + 189. Let z(s) = -s + 4. Let c(n) = d*z(n) + 6*p(n). Let b(y) = -22*y + 13. What is 2*b(x) + 7*c(x)?\nAnswer: 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-76*f + 2*f**4 - 80*f + 14*f).\nAnswer: -2*f**4 + 142*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 5*b**2 - 58*b + 18. Determine r(-11).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-9)*(-18)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1613 + 2534. Suppose v - 7221 = -3*h. What is h rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/799701 and -41\/4410.\nAnswer: 167937210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/6)*h*h*h)**(-8)*h**(-3)*h*h\/(h\/(h\/(h*h*h\/h**(3\/5)))) assuming h is positive.\nAnswer: h**(-431\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 53 (b) -0.3 (c) -5 (d) 3\/7 (e) 1\/67 (f) -0.4 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 - 115\/15. Let a = u + 8. Is a greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5352322 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 9377676\nAnswer: -2\/2344419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 4*v**2 + 14*v**3 + 3.\nAnswer: 14*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-80) + (-161)\/280. Let p = 141 - 141.2. Let n = 0.6 + 1.4. Put p, n, -4, w in decreasing order.\nAnswer: n, p, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 572 = -p, 5*d - 578 = -p - 0*p. Let s(b) = -11 - d*b**2 - 120*b**2 + b + 234*b**2. Let m(a) = a**3 - 4*a**2 - 5*a. Let r be m(5). Calculate s(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*n + 4*a, -10*a + 11*a = 19*n + 94 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3*i - i**2 - 6*i**2 + 4*i**2 + 0*i**2 + (i - i + i)*(0 + 0 - i))*(-2*i - i - 2*i)*(-3*i**2 - 2*i**2 + 4*i**2).\nAnswer: -20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -3)\/(2\/(-2600866)). Suppose t + 1199567 = -w. What is t rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30058 and 25538.\nAnswer: 3396554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(294) + sqrt(294))\/((sqrt(32) - sqrt(128)\/sqrt(4)) + sqrt(32)) + -2.\nAnswer: -2 + 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - 119. Let s = -143.703 + 4.903. Let a = i - s. Is a > 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.301276 and -43.\nAnswer: -42.698724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.24 (b) 1\/160 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7*r**1*(r*r**4\/r)\/((r\/r**(-5\/4))\/r*r*r))\/((r**2)**46)**(1\/42) assuming r is positive.\nAnswer: r**(551\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 31*0.1441\nAnswer: 4.4671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1115\/36 - -123\/4. Let q = 339\/430 + 1\/86. What is the closest to -3 in 0.3, z, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 4:51 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 11172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 0 + 4*o + 1\/27*o**4 - 2\/9*o**2 + 1\/90*o**5 - 1\/27*o**3. Factor m(u).\nAnswer: 2*(u - 1)*(u + 1)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 5:50 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1602 + -3063. Let m = n + 2466. Is 35 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 154*y + 410 + 47 + 929 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q - 682*q = 6480 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 123, 130, 141, 156, 175, 198?\n\"Answer: 2*w**2 + w + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.07 - 2. Let j = o - -0.33. Which is the closest to 2\/5? (a) -1\/6 (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 6*v**2 - 5*v - 5. Let u be o(-6). Let i = u + -22. Solve 0 = 6*w - i*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 25, -r = -w - 6 - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7825, -7444, -7063, -6682, -6301?\nAnswer: -5920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 45773500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 9 - 9)*(x**4 + 1 - 1).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 233331000030 (base 4) in base 8?\nAnswer: 57750014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*m + 2 = 0, 5*x - 2*m + 3*m - 43 = 0. Calculate the highest common divisor of x and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 2*u + 15. Suppose 14 = 3*v + 2, -5*t = -3*v + 32. Let k be t\/(-6) - 192\/(-36). Let m be j(k). Is m smaller than 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450 = 5875*y - 5857*y for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 210*r**2 - 1401. Let s(x) = x + 178. What is y(s(b))?\nAnswer: 210*b**2 + 74760*b + 6652239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 22*z - 3256. What is a(149)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 36, -1080, -3214, -6696?\nAnswer: -11856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212021010 - 11001?\nAnswer: 212010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -499\/4 + 110287\/884. Let a = u + -673\/1105. What is the nearest to -2\/7 in 0.1, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1184 + 1192 = 0. Solve 4 = 2*a - g*j, 0 = -5*a - j + 3 - 26 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 7*m + 2. Let y be t(7). Solve 6 = -3*x - v + 2, 0 = y*x + 2*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 1176 - 2076. Let m = -861 + n. Is 45 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.74 + -0.24. Let s = -0.1 - -0.1. Sort s, 2, c in descending order.\nAnswer: 2, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*i - 4 = -29, -5*u - 2*i = -185. Solve 9*c - 2*o + u = 4*c, -35 = 2*c - 5*o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0203987462 to 4 dps.\nAnswer: -0.0204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1203819, 2407480, 3611141?\nAnswer: 4814802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10108 = 4*h, -11899 = -3*h - 2*s - 4322. Calculate the remainder when h is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4023*h**3 + 1 + 4115*h**3.\nAnswer: 92*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 455502533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 29355*l**2 - 58695*l + 29345.\nAnswer: -5*(l - 5869)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7943 and -2.\nAnswer: -15886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from loclocoocolaooltaca. Give prob of sequence cc.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 + 30*u**2 - 257*u - 972. What is o(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/5 + 478*j**2\/5 + 3728*j\/5 + 7392\/5 = 0. What is j?\nAnswer: -231, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33, -136, -311, -558?\n\"Answer: -36*u**2 + 5*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*h = 12*h - 108 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 3*m**2 - 1. Let p be 5*2*(-1)\/5. Let b be w(p). Is 446\/b + (-2)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*n = 267*n - 3*h + 15, -4*h + 18 = 5*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5440447 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 7 = 4*w, 3*t - 4 - 9 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 167 or 166?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 7916.\nAnswer: -5541.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.11216 from -1.\nAnswer: -1.11216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17306104 (base 8) to base 14.\nAnswer: -76dd88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 77. Let h(s) = 196955*s. Determine o(h(r)).\nAnswer: 77582544050*r**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {f: 1, d: 1, u: 1, r: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27664\/372787 + 7971003271\/13939251504. Let c = h - 1\/4674. What is the common denominator of c and ((-58)\/(-12))\/(22\/(-18))?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(76) + sqrt(19))**2 - ((sqrt(114) - sqrt(114)*2) + sqrt(114))\/sqrt(6).\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 - -6*(-1)\/2. Suppose 15*l = m*l + 2485. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(700).\nAnswer: -1 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*l - 180*l = -126. Solve -3*o + l = 4*v - 7*v, -3*v = -o + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 27, 25, 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -173\/537425?\nAnswer: -173\/537425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + -6 + 4 + 4. Suppose 0 = -4*s + 13 + i. Let x(z) = z**3 - 7*z**2 + 7*z - 1. What is x(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 9:06 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6611 + 6665 + (-912)\/17. Factor -36\/17 + b*r + 2\/17*r**2.\nAnswer: 2*(r - 3)*(r + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 15*g**2 + 13*g - 32. Let r be h(-16). What is the common denominator of 62\/r + 12\/8 and 83\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/2 of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8542112*s**2. Let i(q) = -2*q**2. Determine i(g(r)).\nAnswer: -145935354841088*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**12*t))\/t**(1\/34))**(-2\/9) assuming t is positive.\nAnswer: t**(409\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -132, -847, -2144, -4023?\n\"Answer: -291*h**2 + 158*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4270885 and 87328?\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 4*t**2 - 9*t + 1. Calculate the remainder when u(6) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 10. Sort y, -2, 201.\nAnswer: -2, y, 201","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a year in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809 - 5*b**3 + 4*b**3 + 3*b**3 - 809.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*p**3 + 5*p**2 - 3984*p + 16020023 wrt p?\nAnswer: -18*p**2 + 10*p - 3984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11830476 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 2 - 7 + 13*w + 11*w**2 + 0*w**3 + 0*w**3. Let f be q(12). Suppose 22 = 3*r + 10. Solve r*p - 3*p + f = d, -2*d + 8 = -p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 59 (c) -3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1112644209 to the nearest integer?\nAnswer: 33356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 11286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 14 = p, -5*p - 2 = -2*y + 5*y. Sort p, -3\/7, 1 in decreasing order.\nAnswer: p, 1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1549, 5590, 12107, 21100, 32569, 46514, 62935?\nAnswer: 81832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/11)*x\/((((x\/(x\/x**6))\/x*x)\/x*x)\/x*x)*(x\/x**26)**(-2\/107) assuming x is positive.\nAnswer: x**(-5656\/1177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -48?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5778 = -195*a + 43400 + 3718. What is the smallest common multiple of 1060 and a?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-12) - (-14)\/8. Solve -5*i + 4*g + 15 = 0, 3*g = i + b*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 6. Calculate b(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 333119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12)*6 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 7:20 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2475, 8349, 17651, 30411, 46659, 66425, 89739, 116631?\nAnswer: 147131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 9\/158189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/11687735 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2. Let u(y) = -y - 3*y + 10*y - 7*y. Determine u(s(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(5)*2 + 3.\nAnswer: 3 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 40 + 3*r - 22 - 2. Let s be x(8). Calculate the greatest common factor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 3*u**2 + 4*u + 2. Let k be h(4). Let q(b) = -6 + 6 + 1 - 2 + 15*b. What is q(k)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 20, -7 = -5*x + 5*b + 23. Suppose 39 = 3*p + 5*d - 3, 4*p + 5*d - 51 = 0. Suppose -c + p = x*c. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 164*a**3*h**5 - a**3 - 3*a**2*h**2 + a + 2*h**3 wrt h.\nAnswer: 9840*a**3*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5257*o - 11*o**2 - 1752*o - 1752*o - 1753*o. Let p(v) = v - 1 + 1. Calculate s(p(l)).\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 3*y - 8. Suppose 0 = -p + 21 - 27. Calculate j(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 0*m**2 + 9*m + 8 - 3*m**2 + 2*m**2. Is c(7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 60 + 165 + -231 + 84\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47335?\nAnswer: 5, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 75 + -7 + -50.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-10) - (-420)\/25. Let m = j + -9. Solve 3*x - m*x + 6 = 2*n, -2*x = 2*n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 54\/36*16\/(-6). Let q be ((-12)\/15)\/(n\/(-10)*-1). Does 36 divide 1\/q + 539\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2030334 - 2301?\nAnswer: 2023033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in centuries?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, r: 2, q: 4}. Give prob of sequence rgqq.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -23. Let s(a) = a**2 - 3*a + 7. Let k be s(9). Suppose k = 2*p + 3. What is the remainder when p is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**3 - 6460*i**2 + 292863*i wrt i.\nAnswer: 18*i - 12920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -20.64163.\nAnswer: -0.4128326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(300) - sqrt(24)\/(-1*sqrt(2)))\/(-6*sqrt(40)\/(sqrt(10) - (sqrt(10) + sqrt(490)))).\nAnswer: -21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 74 + -31 + (-2)\/2 + 1. Let a be 2192\/52 + 8\/(-52). Which is bigger: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**3\/3 - 9*j**2\/2 + 5*j - 1. Is 13 a factor of d(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aasannab. Give prob of picking 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 0*i**2 - i**5 + 1\/12*i**4 + 0*i**3 + 16*i + 0. Find the third derivative of l(t) wrt t.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6090\/56)\/(-29))\/((-9)\/48*-1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427*q + 1 - 1 + 709*q.\nAnswer: 1136*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 + c**3 - 2*c**3)*(-9*c**2 + 40*c - 40*c + (3*c - 4*c - c)*(0*c + 2*c + 0*c)) + (0*c**3 + 0*c**3 - c**3)*(-3*c**2 + 2*c**2 + 0*c**2).\nAnswer: -25*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156248 and 1184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - 1 + 5*m - 2. Let q = 17 + -11. Let l be a(q). What is the greatest common divisor of l and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 8*d = 8. Let i(n) = 19*n**2 + 13*n. Let u(z) = 9*z**2 + 6*z. Let v(h) = d*i(h) - 9*u(h). What is the second derivative of v(j) wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 518 or 7781\/15?\nAnswer: 7781\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 48\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(160)*-2*-3 - sqrt(160) - sqrt(160))\/sqrt(8) + sqrt(80)\/(sqrt(28)\/sqrt(7)) + 4)**2.\nAnswer: 80*sqrt(5) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3078783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 162 = -3*k, 236 = 5*k + 4*f - 12. Suppose 0 = 3*j - k - 53. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((352\/22)\/(-2800))\/((-7)\/49).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -13*12\/(-70) - (-68)\/(-85). Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/5 + 23\/45. Let k = 0.8 - -4.2. Let t = -556.6 + 556. Which is the nearest to 1? (a) t (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-7 - (-10 + -1 + (-3 - 44)))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63? (a) -1\/11 (b) -21 (c) -0.4 (d) 355 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 11*w - 288 = 0. Let i be (7\/(-2) - -1)\/(w\/48). Let x(q) = q**2 + q - 7. Give x(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6*4\/(-6))\/2. Suppose -2*f - 50 = -3*t, 72*f + 18 = 64*f - t. Put f, q, 0, 3 in ascending order.\nAnswer: f, 0, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18364232, -18364284, -18364336?\n\"Answer: -52*m - 18364180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2280717482 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m - 7. Let z be w(-6). Suppose 3*p = 5*k + z - 31, 4*k = 4*p + 16. Suppose -2*d + p*d + 382 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*l - 332 + 2238 = 205 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1352.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -8*c. Let k be ((-9)\/(-10))\/(4\/10). Let b = 29\/12 - k. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.4 (b) 1\/4 (c) -0.025 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2*(-2)\/(-4)). Let k = 3 + o. Suppose -k*p = 8 - 32. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1862) - sqrt(38))*-4 - sqrt(38))\/((4*sqrt(18))\/sqrt(9)).\nAnswer: -25*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/4 - 7*l**3\/4 - 41*l**2\/4 - 33*l\/4.\nAnswer: l*(l - 11)*(l + 1)*(l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -235*j + 239*j - 16, 5*z + 2*j = 33 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*k + 5378, 4*k + 3078 + 4982 = 3*b. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffj when three letters picked without replacement from fjjjfjfhjff?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 18*z - 443. Let j be r(24). Sort j, 4, 15 in descending order.\nAnswer: 15, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 11:39 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27223869, -27223867, -27223865?\nAnswer: -27223863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.92149ml?\nAnswer: 0.00492149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - -4 - 1\/(-1). Let z be -6*x\/9 + 0. Let m = z + 13\/3. Sort 4, -2\/7, m.\nAnswer: -2\/7, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.08 * -0.73\nAnswer: 0.7884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 5*p = -4*i + 35, -4*i = -5*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -717651254*p**3 + 26*p + 95876.\nAnswer: -4305907524*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:26 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14020963 less than or equal to 14020963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + v**2 - 24 + 5*v**3 + v - 19*v + v**3 + 8*v**2.\nAnswer: 3*(v - 2)*(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 2:44 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - -11. Let f = g - 25. What is the smallest common multiple of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.6 in 0.4, 22, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -336 (b) -4\/7 (c) 0.0175 (d) -5 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2106)\/1755*-17*5\/14.\nAnswer: 51\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + v + 44 = 2*t + v, 25*t + 77 = -4*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2*h + 2*h)*(-3*h + 2 - 2)*(3*h**2 + h**2 - 3*h**2 - 2).\nAnswer: -3*h**4 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 714580130 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73*q**2*v**3 - 1373*q**2 + 11*q*v**4 - 3*q*v**2 - 7*v**4 wrt v?\nAnswer: -438*q**2 + 264*q*v - 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2564.494839 to one decimal place.\nAnswer: 2564.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f + 2. Let k(n) = -6*n + 3. Let g(t) = -2*k(t) + 3*r(t). Let q(m) = 4*m - 4. Let j(d) = -1. Let c(l) = 4*j(l) - q(l). What is 5*c(y) - 7*g(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16641 or 981738\/59?\nAnswer: 16641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/54 + 1970*a**3\/27 - 970225*a**2\/9 + 5321*a. Factor z(n).\nAnswer: -2*(n - 985)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1753*q + 17545. Determine m(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -401091 + 3*g**2 + 401091. Let a(r) = 3*r. What is f(a(v))?\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.981246 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17707 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 11 = -4*g, 5*z + 5*g - 569 = -589 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16632 divided by 23?\nAnswer: 16632\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slllqjsaljsq. What is prob of picking 1 q and 3 l?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 5*d - 9 in the form y + v*d and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3588*n**2 + 3985*n**2 + 4320*n**2 in the form d*n + o*n**2 + u and give o.\nAnswer: 11893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 49647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 615 + -322. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-25821)\/328320 + 4\/30 and -7\/192.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmmmmpmgpnsmu. Give prob of sequence muns.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -0.2 (c) 3\/2 (d) 1\/4 (e) -3\/5 (f) 410\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 267*p + 1055. Let q be f(-4). Solve -v = 3*o + q, 56*o - 60*o + 1 = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 7*f - 49. What is the greatest common divisor of f and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-2)\/(-12) - 8\/24. Put o, 1, -1\/14 in decreasing order.\nAnswer: 1, -1\/14, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -204, -569, -1082, -1665, -2240?\n\"Answer: 13*g**3 - 152*g**2 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 3 + (0 - 3 + 2)*(2 - 3 + 2) + 0 + 2 + 2 - 5 + 2 + 1)*(2484*n - 1371*n + 1 - 1338*n) to o*n + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 12*t**4 + 2*t - 598. Let d(n) = -4*n**4 - n + 299. Let k(i) = -5*d(i) - 2*q(i). Find the first derivative of k(r) wrt r.\nAnswer: -16*r**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-15))\/(2\/(-3)). Let k = -818.152 + 822. Let z = -0.152 - k. Which is the biggest value? (a) 0 (b) z (c) 1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 42. Sort -4, 0, w, -5.\nAnswer: -5, -4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, 1, 4, 0.035, -0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/2 of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273448.\nAnswer: 2, 7, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + k**2 + k - 1. Let a(i) = 4*i**3 + i**2 - 7. Let s(p) = -a(p) + 3*l(p). What is s(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106887 and 378963?\nAnswer: 4168593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**4 - 2*s**2 + 3 + s**2 - 5 + (-46*s + 7*s**3 - 16*s**3 + 18*s)*(6*s - 2*s - 2*s) to the form u*s + a*s**4 + b*s**3 + k + d*s**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283 - 281. Suppose -392 - 190 = -2*x - 4*b, w*x - 4*b - 622 = 0. Does 35 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 26*g**2 - 13*g - 29. Let t(i) = -14*i**2 + 7*i + 15. Give 11*t(d) + 6*u(d).\nAnswer: 2*d**2 - d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*n + 1927*n**2 - 59*n**3 - 1047*n**2 - 881*n**2 to p*n**3 + j*n + g + y*n**2 and give p.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468941785.\nAnswer: 5, 13, 127, 56807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 12*b - 15*b + 0*b**2 - 3*b**2 + b + 36*b - 54. What is the units digit of k(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.1. Let s = f - 0.1. Let n = 0.02109 - 4.02109. Is s at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 55\/4, -3, 0.018, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1898, -1820, -1734, -1640, -1538?\nAnswer: -1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2499499 divided by 2\nAnswer: 2499499\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/37 + 13\/148. Let d = 2\/6977 - -6969\/27908. Factor 1\/4*o**3 + 0 - 1\/4*o**5 - l*o**2 + d*o**4 + 0*o.\nAnswer: -o**2*(o - 1)**2*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232 and 87248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (6*(1 + sqrt(612)))**2 + sqrt(612) + 5 + (-1 + sqrt(612)*2*2 + sqrt(612))**2 + 1)*5.\nAnswer: 1890*sqrt(17) + 186860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -125484, -250960, -376436, -501912?\n\"Answer: -125476*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-225*z + 140*z - 429*z)*(-z - 2*z + 2*z).\nAnswer: 514*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18341456095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -686, 2, 4\/7, 0.4, 2\/15, 1 in descending order.\nAnswer: 2, 1, 4\/7, 0.4, 2\/15, -686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11521 divided by -247.\nAnswer: -11521\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608391 a multiple of 494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-638)\/(-4) - ((-55)\/10 + 3). Let h = n + -184. Is -23 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10.6 in -8135, 2\/7, 2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9*r + 8. Let j be b(-1). Sort j, -2, -1.3 in descending order.\nAnswer: j, -1.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 5, -2\/15, -1\/5, -37\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30734920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 108 - 53 + 15*o**2 + 2*o**2 + 15*o**2 + o**3 - 31*o. What is the hundreds digit of y(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-240)\/(-10864)) - 4\/3. Calculate the highest common factor of r and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.019.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 8*y - 2*y. Let a = y + -63. Let x be 3\/(-12) + a\/(-28). Solve -s - 14 = -3*h + h, 4*s + x = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -21*v**2 - 11*v + 11. Suppose -25952*g + 12 = -25946*g. Let c(z) be the first derivative of -4\/3*z**3 + 2*z - 10 - z**g. Determine 22*c(b) - 4*r(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - 2249*h**2 - 5993*h**2 - 1812*h**2)*(-2 + 0 + 3 - h) to q*h**2 + r + p*h**3 + y*h and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 13 - 1*(-1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8315043 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -0.1, -2, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) + (-3)\/(-12). Suppose -d + 11 - 11 = c. Let y(k) = 0 - 3*k + 1 - 7 + d*k. Let q(x) = -4*x - 7. Calculate 5*q(g) - 6*y(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2620 = -33*p - 1003. Let r = p - -19. What is the smallest common multiple of r and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -d + 31. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m + 72. Suppose 4*a = 4*w + 42 + 54, m = a - 4*w. Suppose -a = i - 6*i. Solve -l + 15 = i*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 19*k**2 - 44*k + 106. What is the remainder when o(21) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 2. Let w be k(4). Let d be 4\/(-18) - 580\/(-18). Suppose 2*y + w*y - d = 0. What is the remainder when 15 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*l + 0 = 14, 0 = -2*l + 8. Let y be (-177)\/f - 6\/3. What is n in y*n**2 - 28\/5*n + 4\/5 = 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-42))\/(14\/(-21))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**6\/120 + x**5\/3 + 7*x**4\/8 + x**3\/3 + 14*x**2. Let l be w(-19). Is 1\/(-6) + ((-198570)\/l)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-2)\/4 + 82\/4. Suppose -u*z = -25*z + 76. Calculate the highest common divisor of z and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1233\/19 + -65. Let q = -0.226 - 0.074. Which is the nearest to 0.1? (a) q (b) x (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s - s + 15*s + s + 42*s.\nAnswer: 73*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44467171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/45864*21*(-1)\/(-1)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1598 or 23992\/15?\nAnswer: 23992\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16692 and 258?\nAnswer: 717756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*w = -0*w - 29, -5*w = -20. Suppose 8*o - o - t = 0. Solve -1 = o*k - h + 2, -3 = k - h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/5 - 11*u**3\/5 - 9*u**2\/5 + 11*u\/5 + 2.\nAnswer: -(u - 1)*(u + 1)**2*(u + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g - 72. Let r be t(25). Suppose 5*q + r*y = 16, 4*q - 5*q - 5*y = 10. Solve 22 = n + a + 4*a, -5*a = -q*n - 40 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4724 - 4 - (12 + -2).\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0 - 11\/24*t**4 + t**2 + 0*t + 1\/6*t**3. Let s be 1 - 12\/30 - (-4)\/10. Determine f(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4 + 7 + 2 + 3*y. Let p(d) = -723. Let q(f) = -904. Let l(w) = 5*p(w) - 4*q(w). What is -6*l(h) + n(h)?\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 13*n**2 + 2574*n + 14750. Calculate q(60).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-10)\/2 - 3. Let s = n - 2. Suppose 0 = -s*o - 2*w + 60, -3*o + 5*w + 6 = -61. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(-4\/9))**22*(a\/(a*(a**(-3)*a)\/a))\/(a\/(a**36*a)) assuming a is positive.\nAnswer: a**(857\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Let z(y) be the third derivative of 0*y + 1\/60*y**5 - 2*y**h - y**3 - 1\/6*y**4 + 0. Give z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1100 + 1105. Let c(d) = d**3 - 7*d**2 + 3*d + 7. Give c(j).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537194 is divided by 354.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 567 + -564. Sort -4\/5, z, -1, 5 in descending order.\nAnswer: 5, z, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -28.073?\nAnswer: 140.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -780, -4709, -15384, -36177, -70460, -121605, -192984, -287969?\nAnswer: -409932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.846158 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(2 - 5 + 5)*(-16*n + 9 - 9).\nAnswer: -64*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4298*l**3*r**2*x**2 - 218*l**3*r**2*x - 2*l**2*r**2*x**2 - 10*l**2*r - 46592*r**2*x**2 wrt l.\nAnswer: -25788*r**2*x**2 - 1308*r**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = 4*x - 46, -5*x + 5*k + 95 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + c + 104. Let d be q(10). Let b be ((-70)\/15)\/d*-12. Solve 0 = 10*j + b + 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267581 is divided by 679?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f + 16. Let o be 5\/(-10)*9*8\/(-3). Let q be -3 - ((-39)\/o - (-2)\/8). Let p be v(q). Calculate the highest common divisor of p and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-5)*w*w)\/w**3*(w\/(w*w*w**(-2)))\/w**(-3) assuming w is positive.\nAnswer: 1\/w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 w when three letters picked without replacement from aawaaaaaaaaaaaaawaaa.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 8*n - 116. Let x = -29 + 8. Calculate the remainder when n is divided by (-1)\/(-3 - 60\/x).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29, -35, -43, -53, -65, -79, -95?\n\"Answer: -f**2 - 3*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -3. Let o = -3 - 26. Let d = o + 28. Is d smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.4421867 - -1701514\nAnswer: 1701517.4421867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m. Let s be n(3). Let u = s - 3. Is ((-586)\/3)\/(10\/u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + (-15)\/10)*6. Suppose n = 5*w, 0 = 3*p - 4*w + w - 210. What are the prime factors of p?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 424 + -405. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x**3 + 2*x - 6. Let o(s) = s**3 + 1. Let a(h) = 6*h - 2. Let q be a(1). Suppose q*u - 5 = 3. Suppose 0 = 5*c - 3*c + u. Calculate c*i(r) - 6*o(r).\nAnswer: r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -452*h**2 - h - 1. Let v be j(1). Let d = v + 460. What is the smallest common multiple of 21 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 80, 61, 20, -37, -104, -175, -244, -305?\n\"Answer: q**3 - 17*q**2 + 25*q + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 - 346 + 2*q**2 + 347.\nAnswer: 9*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 20. Let w be ((-1)\/3)\/(3\/(-54)). Suppose -80 = -w*q + a*q. Calculate the smallest common multiple of q and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -5.83. Let b = i - -0.23. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from {i: 2, a: 11}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5873816 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119082 not equal to 238161\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299, 41, -289, -1625, -4303, -8659, -15029, -23749?\nAnswer: -35155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7548 divided by -6?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 150*k - 147*k + 37, -4*k - 40 = -3*h. Factor -64\/3*c**2 + 0*c - 17\/3*c**h + 0 + 1\/3*c**5 + 80\/3*c**3.\nAnswer: c**2*(c - 8)**2*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*h + 17 + 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - h = -3*h - 6, 5*g - 14 = -4*h. Solve 4 = 3*d - 2*p - 9, 4*d + g*p = 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjzztjbzjjjzjjf. What is prob of sequence fzbj?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + n**2 + 131. Is d(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -1\/21*g**3 + 1\/42*g**4 + 0*g**2 + 0 + 16*g. Factor o(q).\nAnswer: 2*q*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209331197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 466953399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -11*u - 117. Let j be k(-11). Find the first derivative of 60*i**3 + 112*i**3 + 24 + 18*i**3 - 4*i**2 + j*i**2 wrt i.\nAnswer: 570*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c - 7. Let y(z) = -5*z + 8. Let k(x) = 3*h(x) + 2*y(x). Is 3 a factor of k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201 divided by 101.\nAnswer: 201\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 0*b + 3*b - 2 + b**2.\nAnswer: -(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -25*d**5 - 65*d**3\/3 - 52. What is the third derivative of g(c) wrt c?\nAnswer: -3000*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -813 divided by 271\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(2 + 1 + sqrt(98) + sqrt(98)) + 4)*-2)**2.\nAnswer: 2240*sqrt(2) + 6672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_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 -5 + (11 - 10 - (-1 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34175*h**2 - 34313*h**2 + 68483*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -42\/83, 9\/4?\nAnswer: -42\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10149639 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 2*s + 3*s. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 86483 - 4*p - 2*p**2 + 0*p.\nAnswer: -2*p**2 + 86483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*x**3 - 8*x**2 + 3*x - 3*x + 3 + x + 18*x**3 as p*x**2 + b*x**3 + v + k*x and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 6 + 2 - (-2 - -1). Differentiate -s - 9*k**3 + 15*k - 3*k**3 - 15*k wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(2772\/(-24))*(-23)\/8*42.\nAnswer: 69\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*t**2 + 27 - 27.\nAnswer: 56*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, 3\/14, 4, -4, 3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/27 (b) 271 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 9*d + 6. What is the least common multiple of x(7) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + m**2 + 2*m + 9*m + 5*m to d*m**2 + c + s*m and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28547 or -28548?\nAnswer: -28548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 21 - 11)*((-v + 1 - 1)*(2*v**2 - v**2 - 3*v**2) + 0*v**3 - v**3 + 2*v**3).\nAnswer: -87*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -112\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 3*x + 2. What is p(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 239235 less than 239239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 379.80789 + 0.14211. Let s = x - 309. Let r = -71 + s. Which is the nearest to r? (a) 4\/9 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1087 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 2*n**3\/3 + 17*n**2\/2 - 4*n + 13. Let i be t(-9). What is the biggest value in -3, i, -5, -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k = -15. Suppose -k*c = -3 - 2, -v + 5*c = -44. Suppose -133 = -4*l - v. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 49 - 49.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.6219*129.\nAnswer: -1628.2251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 o when four letters picked without replacement from {s: 2, m: 7, o: 3}?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.5, -54, -1\/4, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113350 is divided by 157?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, u: 3, x: 6, d: 1, z: 4}. Give prob of picking 3 u.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**3 + 8585*z**2 - 161210*z - 169800 = 0.\nAnswer: -1, 20, 1698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 16*p**2 + 2*p - 25. Give n(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 14*f + 4. Let q be y(-14). Suppose 0 = -q*z + 5*w + 6, 4*w = -z + 3*w - 3. Let t = -2\/127 - 244\/635. Is t less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**4*t**2 - 8306*s**3*t**2 + 23232*s**2*t**2 wrt s.\nAnswer: 24*s*t**2 - 49836*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 2, -2\/373, -6\/299?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21452\/(-744) + 21 + 8 + 173\/6.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26989\/4781 - 3\/1366. Find the common denominator of w and -109\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4152500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231023 (base 4) in base 13?\nAnswer: -3246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -269*s**5 + 499*s**4 - 1846*s - 883*s**5 + 2 - 2295*s - 500*s**4 + 362*s**5 wrt s?\nAnswer: -15800*s**3 - 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4584 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 188.7569 millilitres?\nAnswer: 0.1887569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3) + 280\/12 + -22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 + 11*p**2 + 2*p - 38. Let t be w(5). Let i(v) = 9*v + 7. What is i(t)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 321 - 126464?\nAnswer: -126143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) 7\/4 (c) 58 (d) -1 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147185017?\nAnswer: 7, 21026431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + 2. Let k(w) = -w + 23. Let j be k(d). Suppose -j*y - 9 = -h, y - 45 = -4*h + 12. Calculate the highest common factor of 70 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 i when three letters picked without replacement from milm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29513*y**2 + 2*y + 50560*y**2 + 699310*y**2.\nAnswer: 720357*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 9*q**2 + 9*q + 7. Let n be i(-8). Let a = -5 - n. Let b(d) be the first derivative of -d**4\/4 - 5*d**3\/3 - 2*d**2 - 2*d - 2. Calculate b(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 27*l - 152. Let y be r(32). Is 2574 - ((-5)\/4)\/(2\/y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 251816385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 520 and 5187?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11136?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l**2 - 7*l**2 + 14*l**2.\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.494, 1\/4, -5 in decreasing order.\nAnswer: 1\/4, -0.494, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029.53835ms in days?\nAnswer: 0.000011915953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*d + 4 = 0, -3*w - 2*d = -6 - 10. Let b = 11 - w. Solve f - b = -2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3866*u**2 + 0*u + 2*u + 0*u.\nAnswer: 3866*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h = -336. Let p(c) = -h + 84 + 2*c. Let f(d) = -11*d + 10. Let q(w) = 57*w - 55. Let v(a) = -11*f(a) - 2*q(a). Give p(v(u)).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03666 and 128.\nAnswer: -4.69248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-432)\/54)\/8*3*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*p - 4*p + 10, 2*p = -2*k + 10. Suppose 11*v + 4*v + 87000 = k. What is v rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -32 - (81\/(-3) - 7). Suppose 2\/23*b**3 - 6\/23*b - 4\/23 + 0*b**h = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3062153.755+5\nAnswer: 3062158.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2248517 is divided by 2352.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, -45, 0, -5, 2 in ascending order.\nAnswer: -45, -5, 0, 2, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7423 litres?\nAnswer: 742.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 14227?\nAnswer: 128043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, v: 12, c: 2}. What is prob of picking 1 i, 1 v, and 2 c?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 8, -3*h - 8 = -2*s + 28. Let f be (-1 - (-3 - 0))\/(8\/s). Solve 0*j + 4*j - 5*a - 5 = 0, -4*a = -f*j + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 2. Let j be l(7). Let b(h) be the third derivative of h**6\/120 + 2*h**5\/15 - 11*h**4\/24 - 13*h**3\/6 - 3*h**2. What is the units digit of b(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1600 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, j: 1, k: 2, i: 1, m: 1}. Give prob of picking 1 j, 1 i, and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20072016 to the power of 1\/2, to the nearest integer?\nAnswer: 4480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 344124 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*-4*(-2)\/24. Which is greater: 0.08 or w?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k + k + k)*(-10*k + 7 + 24*k - 10*k).\nAnswer: -20*k**2 - 35*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 9:47 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4.81*431\nAnswer: 2073.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**3*y**2 + 251*r**3*y - 3995*r**3 + 4*r**2*y + 12*r**2 - 5*r - 15*y**2 - 21*y wrt r.\nAnswer: 12*y**2 + 1506*y - 23970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 + 58*y**2\/3.\nAnswer: y**2*(y + 58)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155736 is divided by 157?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 14 = 4*s, -119*o + 2 = -118*o - s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4576 = 4*l. Let x = -1215 + l. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008208665 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520 and 288080.\nAnswer: 288080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 z, and 1 n when three letters picked without replacement from {e: 3, m: 1, z: 1, u: 4, n: 1, l: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 212, 421, 628, 833, 1036, 1237, 1436?\n\"Answer: -u**2 + 212*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2)*2)**2*-4 - (sqrt(2000) + (sqrt(2000) - (sqrt(2000)*-1 + sqrt(2000))))\/sqrt(10).\nAnswer: -20*sqrt(2) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 3:20 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(768))*6 - -1*(4 + sqrt(432) + 5))**2.\nAnswer: 5832*sqrt(3) + 35721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -22*q + 4*q + q**2 - 4 - 3 + 11*q. Determine u(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.179 (b) 1\/3 (c) 3 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -737845 (base 15) to base 14\nAnswer: -a2db66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183503277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -578\/9. Put 3, x, 1, -3 in decreasing order.\nAnswer: 3, 1, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 3)*(-4)\/(40 - 8)*4. Solve a = 47*v - 71 - 258 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2\/9 - 25118692*c\/9 + 78868585973858\/9 = 0.\nAnswer: 6279673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x = -10, -4*s - 2*x + 12 = 0. Let g(u) be the third derivative of 0*u**3 + 0 + 0*u + 3*u**2 + 1\/84*u**s + 0*u**5 - 1\/420*u**6. Factor g(i).\nAnswer: -2*i*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 times -0.8?\nAnswer: -23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3455*a = 3453*a + 12 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000 - 1011010?\nAnswer: -10111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34712, 34668, 34628, 34592, 34560, 34532, 34508?\n\"Answer: 2*q**2 - 50*q + 34760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o = -389667 + 1818531. Is o a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 67325*q**2 - 673705*q - 606375.\nAnswer: 5*(q - 13475)*(q + 1)*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-25) - (-17)\/5. Let x(w) = 42*w**2 + 4*w - 5. Let z be x(i). Suppose -5*k + z = 5*n - 0*n, -n + 5 = 0. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 3*h - 13. Does 14 divide s(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -881 + 66a5?\nAnswer: 5a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106 - 198 - ((1 - 17) + -11).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 63. Suppose 2*r - 9 - 37 = q. Suppose r = 7*b + 9. Calculate the greatest common divisor of 16 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 20*b**4 + 188*b**3 + 192*b**2 - 1072*b - 448 = 0.\nAnswer: -7, -4, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 17*c + 62. Suppose -65 = 30*p - 43*p. Let i be u(p). Let q = 0.9 - 1. What is the closest to 4 in q, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*c**2 + 7 - 4 to the form q*c**2 + o*c + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -70, 1426?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u - 14. Let n be x(2). Which is the biggest value? (a) 2\/47 (b) n (c) -1\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541222882 is divided by 274.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37658143.\nAnswer: 53, 710531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s. Let a be 2\/(12\/48 - 0). Let q(c) be the third derivative of 0*c**3 + a*c**2 + 0 + 1\/12*c**4 + 0*c. Give w(q(u)).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - a**2 - a - 5*a - 8*a to l + z*a**2 + v*a and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3656*i**2 - 3656*i**2 - 21*i**4 - 2*i**5 + (-9*i + 9*i - 6*i**4)*(i + i + 0*i)*(0 + 4 - 6).\nAnswer: 22*i**5 - 21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5854*p**3 - 4*p**2 - 192*p - 38. Let g(r) = 1951*r**3 + r**2 + 60*r + 13. Let i(n) = -5*b(n) - 16*g(n). Find the third derivative of i(f) wrt f.\nAnswer: -11676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(-4 + (4 - -1)). Suppose g = -2*l + 170. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 10. Let h(f) be the first derivative of -f**4\/4 - 4*f**3\/3 - 3*f**2\/2 - 6*f + 2. Calculate the smallest common multiple of 10 and h(l).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.2 + 28.8. What is the second biggest value in -2\/3, 0.08, d?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oskssrssrrkkkkss. What is prob of sequence kokr?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b2a33 - -2?\nAnswer: 1b2a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 746.4 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -48, -105, -168, -237, -312, -393?\n\"Answer: -3*b**2 - 48*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tujzz. What is prob of picking 1 u, 2 j, and 1 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/154*3)\/3*12.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -33*u**4\/8 + 484113*u**3\/4 + 16494957*u**2 + 559222140*u - 102222768 = 0.\nAnswer: -68, 2\/11, 29476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64119 by 7.\nAnswer: -64119\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-4)\/(u*(u\/(u**0\/u))\/u*u)**(-41)*((u\/(u\/(u\/(u*(u*u\/u**(-2\/19))\/u))))\/((u\/u**(5\/3))\/u*u))**(-1\/2) assuming u is positive.\nAnswer: u**(13591\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 0*k + 15\/4*k**4 + 0*k**3 + 15 + 7\/2*k**2. What is the second derivative of i(r) wrt r?\nAnswer: 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-7))\/((-6728)\/(-23548)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-5\/11))\/n*n)**(-14\/3)*n*n\/n**(5\/3)*n**(4\/7) assuming n is positive.\nAnswer: n**(-379\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 199073 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 849236059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 12 + 3. Suppose h*u - 5 - 16 = 0. Let a = u - 4. Solve a*j - 2*j + 3 = -4*p, -2*j - 5*p = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -3546?\nAnswer: 354b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27730\/3 or -9243?\nAnswer: -27730\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.229? (a) -2\/3 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3217, -1, -3, 3, 17, 36 in ascending order.\nAnswer: -3, -1, 3, 5, 17, 36, 3217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 126216585, 126216584, 126216583, 126216582, 126216581?\n\"Answer: -o + 126216586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 1, i: 2, v: 2, n: 1, j: 1}. Give prob of picking 1 v and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {q: 3, r: 3, f: 6, z: 7}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86791.77 + -86321. What is w rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -7*f + 15, 2*d = 3*f - 11. Solve -d*a = 6, -2*v - 4*a + 7 = 19 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 701489407.1+-29\nAnswer: 701489378.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -3. Is (-1 - (-95)\/q)*-6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 453, 460, 481, 522, 589, 688, 825?\n\"Answer: l**3 + l**2 - 3*l + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.33999218 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 99725968883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-80)*30\/3. Let s(c) = -2*c**3 - 7*c**2 - 5*c + 2. Give s(w).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 17*a**2 - 26*a - 27. What are the prime factors of m(14)?\nAnswer: 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-10) - (-96)\/(-20). Sort 3, 7, x in ascending order.\nAnswer: x, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -17*m**2 + 6*m + 32. Let x(o) = -35*o**2 + 11*o + 63. Let u(g) = -11*d(g) + 6*x(g). What is the first derivative of u(y) wrt y?\nAnswer: -46*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -35*(-7)\/35?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-50))\/(1\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*y + 58 + 26 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(76) - (-1 + sqrt(76)))**2 + -1*(-2*sqrt(76))**2)*-6.\nAnswer: 1794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4420791 is divided by 201.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(18\/13)\/(a**(1\/2))**(-34)*((a**4\/a*a)\/a**1)**(5\/2) assuming a is positive.\nAnswer: a**(601\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q - 15*q - 44*q - 12*q. Let z be x(-3). What is the greatest common factor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1476 is divided by 71?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/5, -0.6, 0.1 in descending order.\nAnswer: 3, 2\/5, 0.1, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a + 4. Let t(j) be the first derivative of 0*j - 1 - 1\/5*j**5 + 1\/2*j**a + 0*j**4 + 0*j**3. What is the second derivative of t(k) wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - 5*h + 2*h + 0*h + h + 0*h + 2*h - 2*h + 3*h - 1 + 1 + h + (h - 2*h + 2*h)*(2 + 3 - 3) + 2*h - h - 3*h to the form c*h + k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 468.4 and -351681.\nAnswer: -351212.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/14688 and -35\/5508?\nAnswer: 44064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5282, 5283, 5284?\nAnswer: 5285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**4 + 35*b**2\/2 + 22. What is the second derivative of i(h) wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**10\/24192 + z**8\/1792 - z**7\/1008 + 17*z**4\/12 + 18*z**2. Let l(x) be the second derivative of u(x). Factor l(f).\nAnswer: -5*f**2*(f - 1)**2*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(5 + o - 5 + (5*o + 2*o - 4*o)*(-5 + 1 + 3) - 4 + 4 + o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9.1055*0.71\nAnswer: 6.464905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50, -107, -166, -227, -290?\n\"Answer: -f**2 - 54*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-175)\/(-2)*64\/(-40). Let i = 26 + g. Is (-1)\/(1 - i\/(-111)) 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 7:33 PM and 9:24 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2. Let h(p) = -39*p**2 + 272*p + 41*p**2 - 381*p. Calculate w(h(b)).\nAnswer: 4*b**4 - 436*b**3 + 11881*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8167664 minus -171860?\nAnswer: 8339524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05061 rounded to 3 decimal places?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -32*l + 31*l. Let a(s) = -11*s - 65. Let r be a(l). What is the highest common factor of 324 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 0*y)*(2 - 2 + 2*y**2) + 2*y - 2*y - y**3 + (4*y**2 + y**2 - 4*y**2)*(0*y + 2*y - y) + 3*y**3 - 8*y**3 + 3*y**3 - 3*y**3 + 3*y**3 + y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 33 = -3*w - q, -w + 5*q = -13. Suppose -2*x = w*z - 3*z - 8, 0 = -4*z - 4*x + 4. Let g = 0 + 5. Solve 3*f - 5 - 14 = -5*l, z*l + g*f = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 12*i + 11. Calculate the remainder when n(8) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 48.03709 micrograms?\nAnswer: 0.00004803709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2\/5*b**2 + 22\/5 - 4*b = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14542*j + p - 9 = 14544*j, j - 23 = -5*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v - 89. Let z(y) = 13*y + 179. Let x(o) = 11*l(o) + 6*z(o). Let m be x(0). What is the greatest common divisor of 19 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 877 + -540. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (0 + -1)) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*o - 12360 = 4939 - 4363. Calculate the greatest common divisor of 5446 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*b = 9, 3*g + 2*b - 9 = 7*b. Suppose g*v - 12 = -3*v. Solve 2*p - s = -5, -2*p - 3*s = v*s - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.451339 rounded to 3 decimal places?\nAnswer: -0.451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 557. Let k(j) = j - 655. What is k(w(u))?\nAnswer: 2*u - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4 = -2. Suppose -16 = -4*b, -i*b - 4 = -0*f - 4*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -5) + 0 + -1. Suppose 10 = x*o - 8*o. Let w = 10 + o. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a014b + 135?\nAnswer: -1a0016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49594, 198351, 446286, 793405, 1239714, 1785219?\n\"Answer: l**3 + 49583*l**2 + l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaccpppcaappaaap. What is prob of picking 3 c and 1 a?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -829, -1925, -3471, -5473, -7937?\nAnswer: -10869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.6 - -0.6. Let x = s + 26. What is the closest to 6 in x, 1\/3, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212175 a multiple of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52897 - -81193. Is h a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227, -226, -225, -224, -223?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45094 is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1474176 and 1452.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = -4*c + 2*c. Let x be ((-8)\/(-32))\/(2\/8). Let j be x\/(-5) + c\/(-5). Calculate the highest common divisor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*k + 59 - 59)*(-3 - 2 + 3) - 12*k - 8*k + 7*k in the form z + q*k and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 24*m - 476 + 1070. Calculate the remainder when 559 is divided by m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 12:36 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12132214 (base 7) to base 2.\nAnswer: -100001000100011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -775422792 divided by 281256.\nAnswer: -2757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -0.96, 14?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -51, -87, -147, -237, -363, -531?\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6115 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 76315 greater than 3739404\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(176) + sqrt(176) + -4 + (sqrt(176) - (4 + sqrt(176) + -2 + sqrt(176))) + -4)**2.\nAnswer: -80*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*u - 38, -h - 3*u + 39 = 2*h. Let x be (6\/(-5))\/((-4)\/h). Let j(s) = -2*s + 3*s + 2*s. Calculate j(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5053, -20372, -45945, -81772, -127853, -184188, -250777?\n\"Answer: -5127*k**2 + 62*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9 = 3*r - 3*m, -5*r + 2*m = -15. Suppose -r*i + 12 = -3. Let w be 5\/2*32\/20. Solve w*g = 5*p - i + 41, g = -5*p - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 11*m + 9. Let y be d(6). What is the closest to 5 in -0.2, 2, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -8712.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 12*n**2 + 10*n + 7. Let k(z) = -7*z**2 - 6*z - 4. Let y(i) = 5*k(i) + 3*q(i). What is y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-3) - 3 - (-16)\/3. Let m be (31088\/6)\/(-2) + c\/9. What is m rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 + 4.07. Let n = -3.9 + u. Let h = -9 - -9.5. Is n > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170\/887 + 44233\/134824. Let f = 683 + -8099\/12. Find the common denominator of h and f.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2\/6 - 127*w\/3 - 1220\/3 = 0.\nAnswer: -244, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -412, -777, -1142?\n\"Answer: -365*z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:17 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7.2 * -0.0929755\nAnswer: 0.6694236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -304*s + 5779. What is o(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + (13 + -17 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 544 and 9928?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 - 84. Let d be (-10)\/(-30) + (-52)\/(-6). Find the second derivative of h + 10*h**5 + d*h + a*h wrt h.\nAnswer: 200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6300848668 + 2?\nAnswer: -6300848666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, 47.2, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3536 (base 9) to base 13\nAnswer: 126c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 4\/8641 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2. Let s(c) = -4*c - 4. Let n(o) = 2*o**2 - 101*o - 809. Let k be n(-7). Let t = 5 + -9. Let d(g) = k*u(g) + t*s(g). Find w, given that d(w) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 962252878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-7) + (75116\/18512 - (-88)\/(-28))?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14 and -2213.\nAnswer: -2227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 106680.2 at most -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*p - 349*p + 56 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 14*o - 8. Let n(c) = -c**2 + 8*c + 4. Let t(r) = -3*l(r) - 5*n(r). Let w be t(0). Solve -2*a + 18 = -w*y, 5 + 18 = -4*y + 3*a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286.9713 decades in millennia?\nAnswer: 2.869713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200 - -205. Solve 4*x = -f + 5, -f + 20 = -g*f + 4*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 2*k**5\/65 + 4*k**4\/13 - 8*k**3\/39 - 32*k**2\/13 - 128. Factor l(i).\nAnswer: 2*i*(i - 2)*(i + 2)*(i + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/39578 and 46\/693?\nAnswer: 356202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9911987*k**4 - 14*k**2 - 209256.\nAnswer: 237887688*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 33*m - 27*m. Solve -4 = -f + p, -14 = -m*f - 5*f + 3*p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001085646 to six dps.\nAnswer: -0.001086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6. Let v(z) = z + 4. Let r(o) = 2*c(o) - 3*v(o). Let n(g) = -7*g + 2. Let a(s) = -22*s + 7. Let q(m) = 2*a(m) - 7*n(m). Give q(r(w)).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 + 14 + (0 - 3). Let y(x) = x**2 + z*x + 4*x**2 - 2*x. Is y(-3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 14222 = -4322. Let m = a - -9965\/4. Calculate the common denominator of m and -5\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 + 885*s - 12977. What is c(-308)?\nAnswer: -965","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*d - 6 - 20*d + 2*d**2 - 17*d + 87*d as a + s*d**2 + x*d and give x.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttkkktttttt. What is prob of picking 2 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 55*x**3 + 6*x**2 + 3*x - 3. Let y(c) = 128*c**3 + 14*c**2 + 7*c - 7. Give 5*q(f) - 2*y(f).\nAnswer: 19*f**3 + 2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6336547 millilitres to litres.\nAnswer: 0.0006336547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -15*f**2 + 179*f - 523. Give v(9).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/36 + 1)*(-3)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16508, -33038, -49582, -66146, -82736, -99358, -116018?\nAnswer: -132722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -421*f + 27874. Give r(65).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(((q*q**(-26))\/q*q)\/q)*q\/(q\/((q\/(q**(1\/14)\/q))\/q)) assuming q is positive.\nAnswer: q**(391\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 11*v - 13. Let p = 15 + -23. Let u be t(p). Suppose -b + 3 = 5*h, 5*h - 11 = -0*b + 3*b. What is the greatest common divisor of h and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 101 - 21646?\nAnswer: -21545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 9*y - 17. Let o be m(-2). Solve -2*r = -2*a + 6, -31 = -o*a + r - 4*r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/1328 and -48\/415.\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 232096?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - f**2 - f + 0*f**3 - 2005 + 2044 as t + s*f + h*f**2 + r*f**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 237*f**4*z + 1861*f*z**2 - 4*z**2 - 1708319*z wrt f.\nAnswer: 948*f**3*z + 1861*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 20*u - 32. Give x(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 9960485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2233.9 + 1889.24. Let s = -350 - b. What is s rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2. Let h(x) = 1 - x - 2 - 2 + 2. Let o(l) = -3*l - 4. Let u(n) = 4*h(n) - o(n). What is t(u(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 10*k + 16. Let f be s(8). Let a(r) be the second derivative of r**3\/6 + 4*r**2 - r. What is the units digit of a(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5204, 10391, 15578?\nAnswer: 20765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/10078976 and 53\/236226.\nAnswer: 30236928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4291612591 take away -0.25?\nAnswer: 4291612591.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1075, 1596, 2459, 3658, 5187, 7040, 9211, 11694?\nAnswer: 14483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7904, -13697, -19490?\nAnswer: -25283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12369 - -11126.3. Round w to the nearest ten.\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -2.54 (c) -2 (d) 86\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 + -121. Let o(a) = 5*a**2 + 5*a - 4. Let v = -9 - -4. Let x be o(v). Calculate the highest common factor of j and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25017854 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/20*205\/(-123).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - a**2 - a - 1. Let s(v) = -3*v**3 + 2*v + 3. Give s(z) + 2*w(z).\nAnswer: -z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 17*b**4 + b**3 + 258*b**2 + 4. Let o(i) = -31*i**4 - 2*i**3 - 514*i**2 - 10. Let y(d) = 2*o(d) + 5*p(d). What is the third derivative of y(m) wrt m?\nAnswer: 552*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/((-7)\/(3430\/(-15))). Let n be t\/8 - (-18)\/(-24). Calculate the greatest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -1133, 26, 156 in decreasing order.\nAnswer: 156, 26, 1, -1, -1133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -63\/2. Let d = -4.04732 + 0.04732. What is the nearest to 0.1 in q, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-76)\/95*-5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6898*g + 6890*g + 6892*g + 6893*g - 27570*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 440 = -2569 - 111. Solve 33*y - y + m = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015133 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 157144463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 21*i - 116. Let x be v(-12). Let y = -466 - x. Does -99 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/9 + 4894*l**3\/9 + 387602*l**2\/3 + 8094922*l.\nAnswer: 2*l*(l + 129)**2*(l + 2189)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63741.\nAnswer: 3, 21247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.064 + -47.4.\nAnswer: -47.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**3 - 4*u - 9. Let a(t) = 2*t**3 - 5*t - 9. Let w(g) = -4*a(g) + 5*f(g). What is the derivative of w(d) wrt d?\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 545\/853?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.82297 times -0.4\nAnswer: -1.129188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10854050 + -62?\nAnswer: -10854112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9204, -8887, -8570, -8253, -7936?\nAnswer: -7619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/96)\/((-35)\/35)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 52, 86, 124, 166?\n\"Answer: 2*t**2 + 24*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 3*f - 8. Let a(o) = o + 1. Let i(g) = -2*a(g) - r(g). Let u(p) = 2*p + 5. Let x be u(-6). Let h(d) = d + 11. Let y be h(x). Calculate i(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1184 or 4739\/4?\nAnswer: 4739\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 1. Let d be i(-7). Suppose -3*o - 6 + 15 = 0. Suppose -o*l + d = -0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*k - c - 408, -c = -3. What is the highest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166 + 114 + (-2 - 91)\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366 = -38*i + 34*i - 242*i - 1110 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1223 < -1220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 0*a + 1\/2*a**2 + 3. Let z(n) = n**2. What is z(s(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/9 + 22*a\/9.\nAnswer: 2*a*(a + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = -b - 5, 0 = b + 2. Suppose -2 = -4*f - 18, 0 = -j - 4*f - 15. Suppose -3*h + j = -5*x + 10, 12 = -x - 4*h. Solve x*i + i = -r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -93 and -11.96.\nAnswer: -104.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65.2 and -3.\nAnswer: 195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11135?\nAnswer: 5, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from xltzlzlxxljzzj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1532 is divided by 118.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in 5, -9\/5, 2?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 334374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -22*n. Let d(i) = -21*i. Let w(o) = 7*d(o) - 6*j(o). What is the units digit of w(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -1.676 (c) -0.8757\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -236519*n + 236524*n + 5, -2*s = 2*n + 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/8440 and 67\/844.\nAnswer: 8440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/360 and -119\/19884.\nAnswer: 596520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 2*m + 289. Let j = -1269\/7 - m. Which is the closest to 1\/3? (a) -5 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 45. Let x = 29.82 + f. Let u = 0.18 + x. Which is the closest to 0? (a) 5 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 4 - -3 - (-1 + -9 + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 6)*-94 - -2. Suppose 8*u = 238 + r. Let h = 7 - 0. What is the highest common factor of u and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21824600028\/(-34))\/(-7) - (-4)\/(-34). What is n rounded to the nearest 1000000?\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k - 7*k + 22*k.\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -0.107 (c) -1\/5 (d) -0.0197 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 411.59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 189585 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: Simplify ((sqrt(63) - sqrt(6300)*3)\/(sqrt(9) + sqrt(441) + -3*sqrt(441)))**2.\nAnswer: 5887\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*b - 37 = 0, -h + 5*b - 3*b - 13 = 0. Let n(m) be the second derivative of -5*m**3\/6 + 3*m**2\/2 - 10*m. What is the tens digit of n(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s - 27*s + 11*s + (-2 + 2 - 2)*(5*s + 0*s - 4*s))*(1 + 4 - 3).\nAnswer: -52*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**4\/7 + 116*k**3 + 28421*k**2\/7 - 59864*k + 163020\/7 = 0 for k.\nAnswer: -39, 2\/5, 11, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 17*s**2 + 13*s - 42. Let t be a(-16). Let v(j) = 4*j**2 + 11*j - 47. Is v(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76320720 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 17 - 2. Let k = -79545 - -79920. What is the smallest common multiple of k and x?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**5 - 2*l**4 - 3*l**3 + 5*l**2 + 10*l + 6. Let q(m) = -3*m**5 - m**4 - 2*m**3 + 2*m**2 + 5*m + 3. Let c(j) = -4*a(j) + 9*q(j). Factor c(s).\nAnswer: (s - 3)*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.87192 rounded to two decimal places?\nAnswer: -79.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3)*(x**2 - 2*x**2 - x**2) - 57*x**2 + 28*x**2 + 28*x**2 to m*x**2 + w*x + r and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d - 21747. Let g(i) = -5*i**2. Calculate n(g(w)).\nAnswer: -40*w**2 - 21747","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4031, -6697, -9421, -12203, -15043, -17941, -20897?\n\"Answer: -29*m**2 - 2579*m - 1423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 2*w**2 - 3*w + 4. Let m(v) be the third derivative of v**6\/60 + v**5\/30 + v**4\/6 - 5*v**3\/6 - 7*v**2. Give -3*m(t) - 4*z(t).\nAnswer: 2*t**3 + 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -30. Solve -2*u - 2*y - y = 1, 4*y - i = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1163 - 0?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -72.6?\nAnswer: -72.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 82875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:43 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (91*g**2 + 76*g**2 - 47*g**2)*(1 - 6 + 3) to z*g**2 + x*g + p and give z.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -24910542 to the nearest 10000.\nAnswer: -24910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 5) in base 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15*0.077\nAnswer: -1.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8616023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 419 and 4?\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197200 (base 11) to base 4.\nAnswer: 1021310223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 6 - 2 = -l, 5*l = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 0*t - 3*k + 3, 3 = 3*k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1844*x + 10333*x - 3787*x)*(x - x - 3*x) to b*x**2 + h + p*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1 - 2*h**2 - 4*h + h**3 - 8 + h + 10. Let t be b(3). Suppose 50 = 2*r + t*r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 74. Calculate the remainder when 193 is divided by q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/606 - 203\/606. Which is the fifth biggest value? (a) t (b) 1\/12 (c) 0.2 (d) 1 (e) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 12 = 0, -19*p + 5*m = -15*p + 299 - 277 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 + 2.68. Let x = p + -0.28. Let b = x + -0.6. Put -5\/6, b, -2\/3 in decreasing order.\nAnswer: b, -2\/3, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 130712 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48832375 divided by -19.\nAnswer: 2570125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 869 and -6672?\nAnswer: 7541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100100111110101 (base 2) in base 10?\nAnswer: 84469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*b + 3 + 0 + 0 - b + (-1 + 1 - 1)*(b + 0 + 0) - 56 + 56 + 26*b + 4*b + 3*b + 4*b to the form c + w*b and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {b: 5, g: 1, z: 4, d: 9, f: 1}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -17\/2, -10, -1.0981 in increasing order.\nAnswer: -10, -17\/2, -1.0981, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and (2\/4)\/(8 + (-78183)\/9774).\nAnswer: 3801","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3153246 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -2\/7 (c) 10 (d) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570 = -3*x + s + 574, x = 4*s - 6. Solve n + 4 = 2*n, -4*l - 8 = -x*n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148*b**2 - 63064*b + 6816.\nAnswer: 4*(b - 426)*(37*b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2. Let j = 81 + -81. Let k be c(j). Solve 2*u + 3 = 3*y - k, 0 = 2*y - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d\/(d*d\/d**2)))\/d))**(-27)\/(d**(-3\/4)\/d**(-4\/3)) assuming d is positive.\nAnswer: d**(-655\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + k - 70. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 2*t**9\/21 - t**7\/105 - 169*t**5\/60 - 4*t**2 - 34. What is the third derivative of w(c) wrt c?\nAnswer: 5760*c**3 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1755.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 25)*(-4 - 2*p + 4)*(8 + 16 - 11)*(0 + 0 - 3) to q + m*p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1552 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v*v*v*v*v\/(v**(-2\/9)\/v)*v)\/v)\/v))**3*v**(1\/12)*v*v**(2\/17)\/v*v assuming v is positive.\nAnswer: v**(-2339\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 439\/1560 - -27\/520. Let l = -3 + 6. Let o = l + -4. Is a < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33768?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 80*u - 567. Calculate l(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/10 and 75\/116.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(2*sqrt(126) - sqrt(126)) - sqrt(126)) + sqrt(126) + sqrt(126))\/(sqrt(21)\/(sqrt(3)*-1 - sqrt(3))))\/(-1*sqrt(729) - sqrt(45)\/(sqrt(10)\/sqrt(2))).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/9)*z\/(((z*z\/z**(5\/3))\/z)\/z))\/(z*(z**6*z)\/z*z**(-3)) assuming z is positive.\nAnswer: z**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 h when four letters picked without replacement from khhhhhhhhha?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 54458?\nAnswer: -54454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 11*z + 30. Let v be o(11). Suppose 4*j - v = -j. Calculate the remainder when 46 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 11208 + 3280 = 0. Let t = 1688 + j. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1253 - 820. Suppose -c + 5*l - s = 2*c, -3*l - 295 = 2*c. What is the least common multiple of c\/(-9) - 4\/18 and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26647 - -26658. What is the remainder when 603 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25391 - -46174. List the prime factors of u.\nAnswer: 7, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/((4\/6)\/(-1)). Let l be (2 + n)*(-3)\/(-4). Let b(j) = 2*j - 5. Let x be b(5). Sort -2, l, x in decreasing order.\nAnswer: x, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52038 - 52038 - 1905*i**3)*(-2*i + 0 + 0) to a + b*i**2 + h*i**4 + y*i + x*i**3 and give h.\nAnswer: 3810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/(-932)*(-46264)\/(-180). Let p = 2\/3495 + a. What is the common denominator of p and -47\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 25 = 11. Let i = 1196771\/66 - 36275\/2. Let r = -36\/11 - i. Sort 1.1, n, r in increasing order.\nAnswer: n, 1.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2486, -4972, -7460, -9950?\n\"Answer: -v**2 - 2483*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21901739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**3 + x**2 + x - 1. Let w be z(1). Let j = w - -13. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 129?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -3, -1, 3?\n\"Answer: o**2 - 3*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a - 95687*a**2 + 95732*a**2 + 2*a to the form j + h*a**2 + c*a and give h.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -540 and 49?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 37822 and 37801 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4542835 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 11:42 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*g + 4*g + 8*g)*(50 - 124 + 47 + 2 + 3 - 3 + (-1 + 5 - 3)*(3 - 4 + 0) - 1 - 3 + 6 - 3 + 2 + 2) as w*g + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 323791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-140)\/(-15)) + (-7352)\/28. Let k = 467 + f. Calculate the highest common divisor of 136 and k.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -9, 0.\nAnswer: -33, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**(6\/17))\/i))\/i*(i*i*i*i**(1\/5)\/i*i)\/i*(i**(-5\/3))**(-5\/14) assuming i is positive.\nAnswer: i**(8719\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*h**3 - 2*c**3*h + 3*c**3 + 243*c**2*h + 2*c*h - 550864725*h**5 + 29483 wrt h?\nAnswer: -6*c**3*h - 11017294500*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 3*f + 13, 0 = u + 3*u - f - 541 + 542 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + 3 + sqrt(720) - sqrt(720) - sqrt(720))*6 + (sqrt(720) - (sqrt(720) - 3*sqrt(720)))*6)*5)**2.\nAnswer: 194400*sqrt(5) + 5840100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2 + (1 + 2 - 1)*(3 - 6 + 2))*(-8*p - 1041*p**2 + 37*p - 29*p).\nAnswer: 4164*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zznz when four letters picked without replacement from {n: 13, z: 6}.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 548829 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: Find the second derivative of -2*i**5 - 1710888*i**4 - 1225120*i + 2.\nAnswer: -40*i**3 - 20530656*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1814, 3654, 5494?\nAnswer: 7334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*(7\/((-63)\/(-45)) - 1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-616)*-21)\/((-37)\/(-4144))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9359.862 centuries?\nAnswer: 935.9862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 19*j**2 + 17*j - 64. Let q be b(19). Suppose 0 = 4*m - 20, 5*h - 4*m - 131 = q. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 - (-8 + 96)\/11. Solve -i = 2*v - 3*v + 1, 0 = 2*i + b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16279.931 + 16278. Is 0 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = -5. Suppose 0 = 2*f + 3*j + 11, -28 = -3*f + 5*j + m. Solve 0 = 4*h - 2*g - 2*g, 0 = h + g - f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) 1.39 (c) -0.03 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37779972 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1708 = u - 4*b, 5*b - 3*b + 3426 = -2*u. Let k be (-6452)\/(-4)*2\/u. Let c = 1\/107 + k. Which is bigger: -3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17064882113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-22 + 15 + (1 - -12))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31874773\/10 + 3183417. Let z = o + 4056. Calculate the common denominator of 19\/8 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -133225, -265884, -398531, -531160, -663765, -796340, -928879?\n\"Answer: n**3 - 132666*n - 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033514961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19\/186 - 691\/1302. Let x = 0.5 - -3.5. Let g = x + -3. Put k, g, -2 in descending order.\nAnswer: g, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(3)*-1) - (1*sqrt(2736) + sqrt(2736))**2.\nAnswer: -10944 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1694, -6767, -15224, -27065, -42290, -60899?\nAnswer: -82892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42386724, -42386725, -42386726, -42386727?\nAnswer: -42386728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6*u - 3*u - 4 = 0, 20 = s - 4*u. Let q(c) = -c**2 + 5*c. Let v be q(s). What is the least common multiple of 18 and 12 - (-3 + v - -1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/8 + 1527*f**2\/8 - 2663*f\/2 + 2280.\nAnswer: -(f - 1520)*(f - 4)*(f - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 328*r**2 - 2692*r + 1404. Let p(s) = -16*s**2 - 2*s - 2. Let z(n) = -20*p(n) - x(n). Determine t so that z(t) = 0.\nAnswer: 1\/2, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + -90 + 15 + -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46.53127ml?\nAnswer: 0.04653127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4 = 6*p. Let r(s) = -3*s - 4. Is r(p) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-5) + 3 - 434897. What is n rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -3*v - 31, 12586*f - 8 = 12586*f + 8*v for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i. Let v(j) be the third derivative of 1\/12*j**4 + 0 + 0*j + 5*j**2 + 0*j**3. Give v(o(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*q + 123 = -46, 0 = 4*s - 2*q - 318. What are the prime factors of s?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 142832, 142837, 142844, 142853, 142864, 142877?\n\"Answer: u**2 + 2*u + 142829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/3))**(-5\/3) assuming h is positive.\nAnswer: h**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*t = 292, -1057*y + 1061*y - 5*t = 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101012112012020 - 11?\nAnswer: 101012112012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Let w = -38 + 40. Calculate the greatest common divisor of y and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 2*s**3\/3 + 3*s**2\/2 - 5*s. Give d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 466866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.3 - -11. Sort l, 2, 2\/5 in increasing order.\nAnswer: 2\/5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -29\/92 (c) -0.01 (d) -5\/2 (e) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2518019, 2518001, 2517979, 2517959, 2517947, 2517949, 2517971, 2518019?\n\"Answer: q**3 - 8*q**2 - q + 2518027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.084163\nAnswer: -0.252489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4 - 4*i - 30*i**3 + 5 - 4 - 3*i**2. Is w(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2341775870?\nAnswer: 2, 5, 7, 167, 200323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 271981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000880252579 to six dps.\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -402895 - -207893665\/516. Find the common denominator of p and 57\/7.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**6\/120 + 7*q**5\/30 + 7*q**4\/12 + 4*q**3\/3 - 709*q**2 + q. What is d(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*y + 22, 0*q = 3*q - y - 3. Suppose -12 = 4*r, k + q*k - 3*r = 72. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22206\/66 + (-6)\/(-11). Let z = b + -330. Solve -6*t + z*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:05 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 65*q - 19656 = 0. List the prime factors of q.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(50)\/sqrt(5)*2) + 2*sqrt(396)*3.\nAnswer: 73*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**3\/7 + 177412*s**2\/7 + 354576*s\/7 - 3041280 = 0.\nAnswer: -88704, -12, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 (base 12) in base 15?\nAnswer: 6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.96520149 rounded to 4 dps?\nAnswer: -1.9652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.015192 or 2?\nAnswer: -0.015192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by -12663\nAnswer: -25\/4221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 2269*h**2 - 2274*h**2 + 18 + 19 + 4536*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -27. Suppose -5*m = z*d - 10, 6*m - 5*d = 3*m - 25. Which is the nearest to m? (a) 0.3 (b) 0.5 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -922 divided by 461.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*r + 23, 5 = 5*r - 4*s - 26. What is the second derivative of 39*h + h**4 + 5*h**r - 5*h**3 + 13*h**4 - h**2 + 2 wrt h?\nAnswer: 168*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 17 = -15*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.46713l in millilitres?\nAnswer: 27467.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133 - 113. Let m(u) = -98 - 99 - c*u + 6*u + 205. Let l(s) = -9*s + 5. Determine -8*l(z) + 5*m(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126411, -252757, -379103, -505449?\nAnswer: -631795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 1879027606 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (6 - 3) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, 0.069, -3?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 49 + 30 = 4*t, -13 = 2*c + 3*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**6\/8 + 7*n**5\/20 + 5*n**4\/16 + n**3\/12 - 3. Factor l(x).\nAnswer: x**2*(x + 1)**2*(3*x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7910200 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 11:03 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -63*s**3\/2 - 105*s**2\/2 + 33*s. What is the first derivative of i(f) wrt f?\nAnswer: -189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/16 and 5931\/8310 + (-3)\/5?\nAnswer: 4432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b**2 - 200*b + 2. Let k be l(-25). What is the third smallest value in -0.01, 0.8, 0.2, k?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 18*f**2 + 0 + 0*f - 1\/8*f**4 + 0*f**3. Let i(z) = -4*z. Calculate i(r(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -567 + 568. Let t(h) = -27*h**2 + 1. Determine t(c).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -25*u**2 - 8*u - 18. Calculate p(-3).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5*b**2 + 3*b**2 - 6.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*n - 227 = -234, 5*t - 16 = -2*n. Let h(o) be the second derivative of -3\/2*o**4 + 0 - 1\/20*o**5 - 18*o**3 - 108*o**t + 22*o. Factor h(f).\nAnswer: -(f + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15531\/4 + 3883. Put i, 0.02, 960 in decreasing order.\nAnswer: 960, i, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -75716, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110300010 (base 4) in base 5?\nAnswer: -10204441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + y**4 - 3*y**2 + 5*y**2 + (-7*y + 7*y - 4*y**2)*(-2*y**2 - 3*y**2 + 3*y**2).\nAnswer: 10*y**4 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715051389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(684) + -3)**2 + -4.\nAnswer: -36*sqrt(19) + 694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 1. Calculate the remainder when 12\/16 + 63\/12 is divided by y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - sqrt(84)*1) + sqrt(84))\/sqrt(12) + sqrt(49)\/sqrt(7)*-6 + sqrt(7))**2 - (6*sqrt(784))\/(sqrt(7) + sqrt(14)\/sqrt(18)).\nAnswer: -18*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 0*h + 1\/20*h**5 + 0 + 3*h**2 + 0*h**3 + 0*h**4. Let k(y) = 2*y. Determine k(w(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/21 - 2606*w**2\/21 - 8294*w\/3 - 320650\/21.\nAnswer: 2*(w - 1325)*(w + 11)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -7*h - 20. Suppose 451 = a - 4*q, 2*a + 0*q - 887 = h*q. What is a rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 12:42 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g. Let k(i) = -5466*i**2 - 36*i. Give s(k(v)).\nAnswer: -10932*v**2 - 72*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1633.599967738 - -1633.6. Round k to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*r + 2*l, -932 = -3*r + 2*l - 919 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 4*t**2 + 6*t**2 - 7 + 8*t**2. Let w be z(-10). Let m = w + 16. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/80 (b) 3 (c) -29 (d) 2\/7 (e) 0 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + -9 + -2 + 14 + (-4 - -8) + 2.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4307 + -4306.9999992495. What is q rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/t*t*t*t*t\/((t\/((t**(3\/8)*t)\/t))\/t)*t)**21\/(((t\/t**1)\/t**(-1))\/(t*t*t*t\/t**(-1\/4)*t**(-2\/9))) assuming t is positive.\nAnswer: t**(12881\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1748153*n - 4*n**3 + 0*n**4 + 5*n**4 - 1748218*n + 2*n**2 - 4*n**4 + 2 in the form c + w*n**3 + m*n**2 + a*n**4 + k*n and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9547215?\nAnswer: 3, 5, 19, 139, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 5 + 7 - 11)*(0 + 1 + 2).\nAnswer: -9*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 9:52 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 6) in base 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -300, -348, -354, -294?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -387 + 575. Let s = u + -187.99999667. What is s rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppprzza. What is prob of sequence rp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1071046 - 1071046.0979922. Let c = -0.098 - x. What is c rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27429136 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 72*v**2 + 126*v + 3898. What is l(-71)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/4)\/(10\/(-262)). Are f and 27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97 or -82887\/859?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8798 + -3440020\/391. Are -1 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -19. Solve 0 = f - 5*q + 25, -4*f - u = -q + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 210773873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -74, -70, -76, -98, -142, -214, -320?\n\"Answer: -v**3 + v**2 + 8*v - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12150?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, w: 1, n: 2, l: 1, x: 8}. What is prob of picking 1 s and 1 n?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 6\/109 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 1:53 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-630)\/(-18)*6\/18 + -14. Determine b, given that -3*b**2 + 5\/3*b**3 - 1\/3*b**4 - v + 7\/3*b = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*q + 9785 - 2587 - 3256 = 0 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -87 + 0*y - 17\/6*y**4 - 7*y**3 - y**2. Differentiate b(w) wrt w.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5\/4 - 40083*l**4\/4 + 884235*l**3\/2 - 6634725*l**2\/2 + 20110125*l\/4 + 35188125\/4 = 0. What is l?\nAnswer: -13405, -1, 5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*t - 23, -3 = -4*t - 11. Let l be (-4)\/34 - (-2116)\/68. Suppose 10 = j*m - 2*p, -p - 2*p + l = 4*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*r**2*w*x + 7*r**2*w*y**2 + 50*r**2*x*y**2 + r**2*x - r*x*y**2 wrt w.\nAnswer: -6*r**2*x + 7*r**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5 or 42?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + g**2)*(2*g**2 + 2 - 2) - g + g + 10*g**4.\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 - 12074450?\nAnswer: -12074412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444047?\nAnswer: 3, 11, 43759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1\/4, -1, 100, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3365ab (base 12) in base 11?\nAnswer: -510025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (-35 - -15)) + (8 - 10) + -51?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) -1.7233 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = 0. Let s = -3 - f. Let h = 12 + s. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 196 = -2*n, 364 = 4*n + v - 5*v. Let f = n + -93. Suppose -4*t + 8*t - 12 = f. What is the remainder when 3 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 199*z**5 + 5 + 5*z**5 - 3*z**5 - z**5 + (5*z**3 - 3*z**3 - 3*z**3)*(z**2 - 4*z**2 + 5*z**2).\nAnswer: -200*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/(12\/72). Solve u + 5 = k*o + 2, -9 = 3*u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * 66.8\nAnswer: 8.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -4 (c) 4 (d) 5\/3 (e) 0.53 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 19. Calculate the highest common divisor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121 + 121 - 3*f**3 + (0*f + 5*f - 3*f)*(4*f**2 + f**2 - 3*f**2))*(-14*f**2 - 7*f**2 - 11*f**2).\nAnswer: -32*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 27*c**2 - 10015*c + 40026. Give t(4).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x + 9*x + 443 + 15*x - x**2.\nAnswer: -x**2 + 2*x + 443","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -38. Let p = i + 56. Calculate the remainder when p is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212\/(-6)*7\/(70\/(-795)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.131 - -43.331. Let y = -49 + m. Let s = y - 2.9. What is s rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/(-14))\/((-28)\/(-539)) and ((5 + 2)*5)\/(7 + -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -1 - -5) + 42. Which is greater: 44 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4150 - -4176. Solve 0 = -26*k - z*k - 312 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 5. Let d be l(-5). Let h(x) = -x**3 + 4 + 5*x - 4*x - x**2 - 2. Let n be h(d). Is n less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0373356863 rounded to four dps?\nAnswer: 0.0373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 26*z**2 + 2*z**2 + 1 + z - 2 + 3. Let f be y(-1). Suppose 4*d - f = 35. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(91)\/((sqrt(7) - -1*sqrt(7))*6).\nAnswer: sqrt(13)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 617283507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29736?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -547a2 (base 11) in base 2?\nAnswer: -10011011010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/224 - -121\/2016. Which is smaller: f or 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeevpeem. What is prob of picking 3 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 106303139 and -116173?\nAnswer: 106419312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**3 + 96*l**2 + 3*l - 96 = 0.\nAnswer: -1, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-70) - (-3162)\/(-1736)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s - 2. Suppose -q = 3*z - 8, 0 = -4*z + 5*q - q. Let f be k(z). Solve 5*j + 26 = h, f = -h - 5*j - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27764, -55026, -81824, -108158?\n\"Answer: 232*y**2 - 27958*y - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5604 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -6b0?\nAnswer: 6b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -26321?\nAnswer: -26316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1091526?\nAnswer: 1\/545763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12194 and 5460.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 12*c**2 - 12*c. Calculate x(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-9) - (-112)\/18. Let r(v) = 4*v - v - v**2 + 2*v**2 - t. Is r(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 3*s - 6. Suppose 102 - 118 = -4*x. Suppose -18*k + 18 = -17*k - 5*c, -k - x*c - 9 = 0. Let g(n) = 2*n**2 - 4*n - 6. What is k*g(w) - 4*m(w)?\nAnswer: -2*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2099 - -2103. Solve -3*i = -3*w + 24, -7*w = -j*w - 5*i - 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.1. Suppose 105*i + 100 = 110*i. Let a be (-4)\/i*(-5)\/(-7). Put k, -1\/4, -0.4, a in descending order.\nAnswer: k, a, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 9920 divided by 31?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21753680 divided by -12872?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9935872 kilograms in nanograms?\nAnswer: 993587200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -3 + -2)**2 + sqrt(153)*-4 + (sqrt(153) - (sqrt(153) + 2 - sqrt(153))) + 2 + -4.\nAnswer: -19*sqrt(17) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5131 or -0.047?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)\/(z\/z**(3\/7)))\/(((z*z**(-2\/5)*z)\/z*z)\/z)**(-24\/11)*(z**(-1\/4))**(1\/2)*z**(1\/8)\/z*z*(z*z\/(z**(-2\/3)\/z))\/z assuming z is positive.\nAnswer: z**(1054\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) -0.2 (b) 432 (c) -21 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 42. Let t = p + 33. Is 19 a factor of -6*(-2 + t\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c. Suppose 3*n = 2*w + 139, 0 = -c*w - 3*w - 6. Round n to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 6*m + 3*m + 12 = 0, -20 = -4*m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006653149 to seven decimal places.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 30 = -7*d. Let q = -952 - -1398. Suppose 5*g = -u + q, 3*g + 2*u = -g + 352. What is the highest common factor of d and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (1 - 0)) + (-72860)\/83789.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0952997496 minus -34?\nAnswer: 33.9047002504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*n - 16 + 3 = 0, -3*i + 3*n = -15. Suppose -2*l + 18 = i*l. Suppose l*o = -2*o. Solve -3*c + 5 = -s, 5*c + o*c = 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362081*u + 178972*u - 2 + 121571*u - 32178*u.\nAnswer: 630446*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1526 + 1559. Suppose 62 = -2*u + 164. Let b = u - q. What is the smallest common multiple of b and 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1. Let y(c) = 39*c**2 - 236*c + 11. Let f be y(6). Let n(p) = -9*p + 3. Give f*n(q) - 3*v(q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from {t: 1, z: 9, y: 1, w: 4}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6. Let b = u + 0. Suppose b = a - 3 - 6. Calculate the highest common factor of 36 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561084 is divided by 561068.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/90096 and -59\/2372528?\nAnswer: 7117584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from qqqqqrqkqrkrr?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.40577 tonnes to grams.\nAnswer: 20405770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15755096*i**3 - 7877546*i**3 - 7877548*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066315?\nAnswer: 5, 213263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -115856130, -231712259, -347568388, -463424517, -579280646?\n\"Answer: -115856129*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1372195124 to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*((-1)\/3)\/((-8)\/72)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 2*m - 2*m. Let d(n) = -5*n**2 + 11*n - 11*n. Determine d(y(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1937*a + 1932. What is s(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - 6*n + 18*n + 3*n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 764522 to the power of 1\/2, to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12010 (base 4) in base 9?\nAnswer: -471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84349 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 191844562 to the power of 1\/2, to the nearest integer?\nAnswer: 13851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17983*j**2*o**3 + 17*j**2*o**2 - 156*j**2 - 221*j*o**3 + 37*j*o**2 - 11*j*o - 2*j wrt o?\nAnswer: -107898*j**2 - 1326*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnq when three letters picked without replacement from {q: 3, n: 8}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h - 5*l - 20 = 0, -4*h + 2*l + 2 = 0. Which is smaller: h or -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 19*p**2 - 13 + 12*p**2 + 6*p**2 as f*p + h*p**2 + y and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5333.\nAnswer: 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + 1. Let k = 70\/17 + -297\/68. Let p(s) = -3*s**2. Let m be p(1). What is the closest to r in 5, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7075 - 7031. Solve 0 = 11*i - 0*i - l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f**3 + 10*f**2 + 45*f + 5. Let o(d) = -9*d**3 + 14*d**2 + 68*d + 7. Give 5*o(t) - 7*r(t).\nAnswer: -3*t**3 + 25*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1539 is divided by (194\/3 + -1 - 522\/783) + -8.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 0 - 2)*(o + 3*o - o) + (o - 5*o + 3*o)*(4 - 5 + 3))*(2*o**2 - 1 + 1) to the form j*o**2 + z*o + v*o**3 + i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b - 1. Let o(v) = 11*v + 2. Let s(a) = -7*d(a) - 2*o(a). Let y be s(0). What is the third smallest value in y, -1, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, -8, -19, -46, -95, -172?\n\"Answer: -q**3 + q**2 + 3*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10391 - -156716. Suppose 2*s = 37675 + k. What is s rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-8)*2484\/(-189)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 15*q**2 + 12*q - 789. What is v(0)?\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -557*f + 752. Calculate the smallest common multiple of 51 and h(1).\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1054*q - 2884. Determine z(-3).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 23 = -5*b, -65*q + 24*q + 40*q = -4*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1375, -1368, -1361, -1354?\n\"Answer: 7*n - 1382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 153 (b) -0.05 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8*r + 5*n + 14 = 0, -2*r - 3*n - 4 = 0. Is (-19)\/r*1\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, w: 5}. Give prob of sequence ww.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-68)*34\/16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 7) to base 16\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*w**5 + 38*w**4 - 38*w**4 + 6*w wrt w?\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4598 and 46816.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = g - l - 3, 0 = -5*g - l + 27. Let w be (108\/g)\/((-2)\/(-5)). Suppose 21 + 51 = 4*m. Calculate the greatest common divisor of w and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsqpdppszpdqpd. Give prob of picking 1 q and 3 d.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*u + 1. Suppose 6 + 9 = 5*j. Suppose 2*s + j*s - 5 = 0. Which is the nearest to 1? (a) u (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 3 (b) -0.3 (c) -5748\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d + 3744. Let x be ((-25)\/3)\/(1\/d). Suppose -4*s + 7*s - x = 0. What is s rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 17*u**2 - 53*u + 4. What is y(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1000401 (base 5) to base 2\nAnswer: 11110101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8*(-16)\/42. Let z = 106\/3 + -36. Let s = 0 + -0.1. Put z, q, s in descending order.\nAnswer: q, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 493 in -5\/2, 44, 0.3, -1\/8?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + -63. Suppose -q*w = -143 - 127. Let a be w - -1 - (7 + -5). Is a < 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2345322 + 2?\nAnswer: 2345324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 10774 = 4*y, y - 13*i = -11*i + 2697. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 + -3.11. Let v = -0.51 - h. Sort v, -0.2, 30 in increasing order.\nAnswer: v, -0.2, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 110904342 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**2 + 146*a + 29. Determine u(28).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 444 - -7565. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49573795 and 19829518?\nAnswer: 99147590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence voh when three letters picked without replacement from srvhxhor.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 9:14 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 538 - 534. Put -1, 72\/7, p, -3 in descending order.\nAnswer: 72\/7, p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 6767856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 50*b**4\/3 - b**2\/2 + b - 720. Let y(s) = -3*s. What is g(y(w))?\nAnswer: 1800*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28996114229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4420, 8850, 13306, 17812, 22392, 27070, 31870?\nAnswer: 36816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 863 divide 4451274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.93 and 347.\nAnswer: 344.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -188.0699624 to one decimal place.\nAnswer: -188.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 262 = -2*s - 286, -10 = -5*s for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 6, y: 4, e: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*j + 179*j = -45. What is h in 4*h**5 + 0*h**3 - h**5 - 42*h**4 - j*h**3 = 0?\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -479*g**2. Let v(o) = -9*o. Give k(v(c)).\nAnswer: -38799*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*c**3*v**2 + 48730*c**2 + 15*c*v + 17115*v**2 - 66 wrt c.\nAnswer: -498*c*v**2 + 97460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(119) + -2*sqrt(119) + sqrt(119))*5)\/(3*(sqrt(7) + sqrt(1008)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 6*x + 10. Is z(-7) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 26*v**2 + 0 + 0*v**6 + 0*v**4 + 0*v - 17\/105*v**7 + 0*v**5 + 37\/6*v**3. Differentiate s(x) with respect to x.\nAnswer: -136*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55402236961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 + 429 = 28*w - 218 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2088*g + 18535. Determine n(9).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((28\/(-8))\/7). Let h(l) be the second derivative of 2*l + 0 - 1\/6*l**3 - 1\/12*l**b + 0*l**2. What is the second derivative of h(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26887, 26870, 26853, 26836?\nAnswer: 26819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002212202012 (base 3) to base 4.\nAnswer: 2033211113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82227683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 101?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 836545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 k when three letters picked without replacement from akqccccckkckacqc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or 192\/5?\nAnswer: 192\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.08 - 0.08. Let n = -6 + 32. Let l = n - 25. Which is the third biggest value? (a) l (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 166 - 161. Solve -20 = -c*t - 0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 15*q**2 - 22*q - 1. Let y(l) = -l**2 - 22*l - 23. Calculate the remainder when y(-11) is divided by i(13).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**12*i*(i\/i**(-13\/6))\/i*i*(i**(-6))**(-1\/54) assuming i is positive.\nAnswer: i**(-121\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. Suppose 0 = 3*z + 6, 0 = d*q + 5*z + 1 + 13. Let h = 1306\/5 - 262. What is the nearest to q in -0.1, h, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*c + 4, 2*j - 2*c = 5*j + 1. Suppose k + 1 = -0*k. Let z = k + 0. Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 2*y = 0. Let z(m) = m - 1. Let x(t) = 3*t + 6. Let j = -1 + 0. Let r(d) = j*x(d) + 2*z(d). Calculate r(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 1, z: 1, e: 1, i: 2, p: 1}. What is prob of picking 1 m, 1 g, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + (sqrt(11) + sqrt(11) + sqrt(1100))*-6))**2 + 6*((sqrt(22) + sqrt(264)\/(-1*sqrt(12)))\/sqrt(2))**2.\nAnswer: 15552*sqrt(11) + 2053188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 79 + 78?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 - 28499251*t\/2 + 21374436 = 0. Calculate t.\nAnswer: 3\/2, 14249624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3 - 3 = 0. Let q be 820\/210 + 14\/147. Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**5\/20 - 2*d**3\/3 - 3*d**2\/2 + 9*d. Let k(g) be the first derivative of i(g). Is k(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1467 - -42?\nAnswer: -1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 3*f - 23706 = 9*q, -4*f = q - 11838. List the prime factors of q.\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23099b (base 14) in base 6?\nAnswer: -41322113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170\/17*(-11)\/(-4)*128\/(-40).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101041693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 596, 1191, 1786, 2381, 2976?\nAnswer: 3571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from djddjdd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*y - 756 = 12*y - 81*y. Find g, given that 0 - 3\/7*g**2 + 3\/7*g**y - 2\/7*g + 1\/7*g**5 + 1\/7*g**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (980\/(-1715) + (-312)\/(-7)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5757187 and 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -117387?\nAnswer: 117392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**3\/3 + 11*h. Let k(w) = -4*w. Calculate k(i(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - i + 12, -k - 5*i = -6*k + 80. Let h(c) = 16*c**2 + 1. Let s be h(-1). Suppose -9 - s = -d. What is the remainder when d is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + sqrt(200) + (2 + sqrt(200))*-2 + sqrt(200) + 1 + -5)**2*2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 0.1, 3, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyoyogvgoglyy. What is prob of sequence gg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8\/(g**(-5)*g*g*g*g))\/((g**(-1\/4)*g)\/g)**(-22\/9) assuming g is positive.\nAnswer: g**(151\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 1864, -7, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 138*n**2 + 133*n**2 + 5*n - 404*n**2 + 132*n**2. Let r(t) = t**2 - 4*t. Let b be -2*(-9)\/(-12)*2. Give b*r(v) - 2*q(v).\nAnswer: -v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75900.\nAnswer: 2, 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 165*v + 84*v + 81*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -3*q, 898*t - 51 = 886*t + 4*q - 255 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14606733347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 5*p + 3. What is the derivative of 0*h**p + 3*h**3 - h**3 - h**3 - 2 wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 4 - t + 3 + (-5 + 2 + 4)*(t - 7*t + 2*t) - t + 2*t + 2*t.\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 7*s**2 + 7*s + 8. Let d = 5 + -3. Let q be -1*(d - 1)*18. Let u be (4\/(-3))\/((-4)\/q). Calculate x(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*i + 46 - 137, 115 = 5*i + 4*d. Suppose 699 = 26*z - 29*z. Let x = -165 - z. Calculate the remainder when x is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 - 2 - 4*c**3 + 2*c + 0 in the form k*c**3 + y*c + b + w*c**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.11 - -11.0073. Round n to three dps.\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 1.1699669222.\nAnswer: 1.3699669222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13897695?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.267 * 0.72.\nAnswer: 0.91224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 980 and 35.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -5*f**4\/12 - 154*f**3\/9 + 191*f**2\/6 - 32*f\/3 - 10005. Factor d(r).\nAnswer: -(r - 1)*(r + 32)*(5*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.99 + 0.01. Let l = 3.7 + -0.7. Let r = -37 + 37. Which is the nearest to r? (a) h (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 537\/2*l**4 - 114\/5*l**5 - 2166*l + 112*l**3 + 1\/2*l**6 - 325 - 3021\/2*l**2. Determine x, given that i(x) = 0.\nAnswer: -1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**7\/2520 + 7*d**6\/720 + d**5\/60 - d**2. Let g(b) be the third derivative of q(b). Let m = -124 - -119. Calculate g(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26221 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.2 + 0.94. Let a = 0.26 + y. Let z = 15.00000053 + a. Round z to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 1, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(0*j**4 + j**4 + 2*j**4) + (j**2 + 2 - 2)*(-1 - j**2 + 1) + 0*j**4 + 5*j**4 - j**4.\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -15 (c) 3\/5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*x + 62. Which is smaller: 20 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69740 and 352?\nAnswer: 557920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 804\/19 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 8:36 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59794 - 29007. What are the prime factors of a?\nAnswer: 17, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 5*w - 54, 2*c = -w - 2352 + 2358 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 30263 and -728.\nAnswer: 29535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, -693 in decreasing order.\nAnswer: 8, 5, -693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 2. Suppose 2*y - s = 3*y + 11, -3*y - 12 = -4*s. Let v be r(y). Solve 4 = b + v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + f - 5841, -4*t = -t - 3*f - 4392. Suppose -6*b = t - 8151. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17\/66 + 1\/11. Let g = -0.31 + 0.21. Let b = 7 + -11. What is the nearest to g in t, 1, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/(-4*(-5 + (-8284)\/(-1656))). What is the greatest common divisor of 8349 and x?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 610 + 3*t + t.\nAnswer: 3*t - 610","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 20*p = 15, -3*s + 3*p = -1605. What are the prime factors of s?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26180 or 1230480\/47?\nAnswer: 1230480\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/17 + 6456*v**2\/17 - 298070*v\/17 - 11455500\/17 = 0.\nAnswer: -3273, -25, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3007 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 + (11 + 0 - (4 - -3)). Let m(t) = -1 + 8*t**2 + 6 + t**3 + 0 + t + 6*t. Calculate m(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111 + 116. Solve -23 = -q*x - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/190*11\/((-22)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o. Let y(u) = 92 - 283 + 94 + 95 + 13*u. Calculate 4*p(i) - y(i).\nAnswer: -9*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-4))\/((-1)\/(-2)). Let b = t + 24. Let r be (-3)\/5 + b\/15. Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -96, -183, -262, -333?\n\"Answer: 4*d**2 - 99*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.28 times -0.2\nAnswer: -0.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 10:37 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41708189*c**3*w - 3*c**3 - 124277*c**2*w - 4*c**2 + 11*c*w + c - 3*w wrt c.\nAnswer: 250249134*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-five quarters of a microgram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 34 = 3*l - 5*f, -2*l - 2*f - 2 = 0. Let n be (17 + 1)\/2 + 8050\/(-875). Which is the third biggest value? (a) n (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2 + 1026915*d + 71879150 = 0.\nAnswer: -1026845, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1028589118 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/(-24))\/(5\/(-6)). Solve 4 = -c + 4*g, 5*g = -w*c + 2*g + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(352)*-2 + sqrt(22))\/(sqrt(44)*-6).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 38*q**3 - 5*q**2 + 2*q**2 + 2*q**2. Is j(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89850 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-6)*(-5 - -3). Suppose 69 = m + 6*h - 3*h, -s*m = 3*h - 321. What is the greatest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9*k + 3 + 6*k + 12*k + 4*k. Let z be i(4). Let r = z + -30. Calculate the remainder when r is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596842291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2244841, 2244694, 2244547, 2244400?\nAnswer: 2244253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784 = -43*u - 1128 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 17*u**2 + 10*u + 2. Suppose 3*r = 2*r + 3*q - 14, r = -4*q - 7. Is m(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120615 by -1.\nAnswer: -120615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -100 + -4?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91912579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - 2*h)*(-782*h + 77664 - 77664).\nAnswer: 1564*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 148*m - 3. Let v(d) = -2*d**2 + 9331*d + 1. What is g(v(r))?\nAnswer: -296*r**2 + 1380988*r + 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2856472353 to the nearest integer?\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (6 - 7) - 8) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - a**2 + 3. Let d(r) = r**3 + r**2 + r. Let x(m) = -2*m - 7. Let u be x(-5). Let o(w) = u*d(w) - s(w). Let g be o(-4). Is g > -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(24\/12*1\/(-2)). Is (-273)\/(-26)*(-46)\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -214168554 divided by 18?\nAnswer: -11898253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -3*c**5\/25 + 3*c**4\/10 + 2. Let m(l) = 0. Calculate l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -9*a**2 - 6*a + 6. Let n(v) = 6*v**2 + 4*v - 4. Determine -8*n(c) - 5*p(c).\nAnswer: -3*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -79 (b) -1\/3 (c) -0.8 (d) 8 (e) -4 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*1 + 4)**2 - (sqrt(68) + 3 + sqrt(68)*1)**2) + ((sqrt(17)*3*5)**2 - -3*sqrt(34)\/sqrt(2)).\nAnswer: -5*sqrt(17) + 3628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16564289 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 92852 divided by -23213\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.69658s in nanoseconds?\nAnswer: 7696580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8701?\nAnswer: 7, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2934 and 186.\nAnswer: 90954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + f**2 + f + 3. Let y be (0\/2)\/(-4 - -2). Let z be d(y). Suppose 0 + 1 = s, 0 = -2*x - 3*s + 21. Solve -z*a + 3 = -x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 6*s**2 + 5*s + 3. Let f be j(5). Put -5, f, -8 in ascending order.\nAnswer: -8, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 4*z - 1. Let x(u) = 8*u**2 - 29*u - 101. Let w(q) = -6*v(q) + x(q). Calculate w(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*q - 56 = 0, p = -p - 4*q + 56. Suppose 73 = 3*g + p. Calculate the greatest common factor of g and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24870 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 2*y**2 - 10*y**3 - 17 + 0*y + 7*y.\nAnswer: -10*y**3 + 2*y**2 + 9*y - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 5*o - 2*x, o + 11 = 4*x - 11. What is the least common multiple of 22 and 38\/3 - o\/(-15)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 422\/3*o + 0 - 634\/3*o**2 + 425\/6*o**3 - 1\/6*o**4.\nAnswer: -o*(o - 422)*(o - 2)*(o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171113363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -585, -630, -707, -816, -957, -1130?\nAnswer: -1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*m - 58 + 66 + 5*m wrt m?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -60*l**3 + 340*l**2 - 565*l + 289. Let t(h) = -121*h**3 + 679*h**2 - 1129*h + 578. Let w(k) = -7*g(k) + 4*t(k). Find y such that w(y) = 0.\nAnswer: 1, 17\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + (-98)\/56.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 74424\/595392 + 1\/(-4) + (-978)\/(-16) + -2\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/816 and -83\/170?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -243 + 721 + 2*a - 236 - 240 - 2573*a**2 as u*a + v*a**2 + r and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87382, 46, 0 in decreasing order.\nAnswer: 46, 0, -87382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 16028940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**3 + 12*g**2 - 8*g + 20. Let m(y) = y**3 + 3*y**2 - y + 1. Give 4*m(z) - r(z).\nAnswer: -z**3 + 4*z - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3971\/95 - 29 - (11 - 1)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(((-6)\/(-15))\/(3\/15)). Suppose -5*t - 339 = -3*n, -n + g*t + 96 = 4*t. Is 36 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y + 6. Suppose 5*x = 4*t + 2 + 5, 0 = y*t - 4*x + 4. Suppose t = -5*v + 12. Solve -18 = -v*k - 4*w, 2*k - 5*w + 17 + 10 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.99947 weeks?\nAnswer: 3628479456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 45967615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122007, -122005, -122003, -122001, -121999?\nAnswer: -121997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**5 + 85 - 1195*u**2 - 26*u**3 - 41*u**3 - 85 + 183*u**2 wrt u.\nAnswer: 60*u**2 - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*g**3 - 59*b**3*g*i**2 - b**3*i**2 - 3*b**2*g - 17*b**2*i**2 + 2*g**3 - g**2*i wrt b.\nAnswer: -12*g**3 - 354*g*i**2 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 - 2485\/284*(-4)\/20\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110118220 divided by -2.\nAnswer: -55059110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 1856.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 4, -209, 11, -3.\nAnswer: -209, -4, -3, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/9)\/1 + 40 + -40.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 1 - (6 - -1 - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9288443 divided by 6\nAnswer: -9288443\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 30*c + 52. Let n be h(-28). Let i(d) = -3*d**2 + 4. Let x(m) = 9*m**2 - 11. Give n*x(z) - 11*i(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1 + 2*h**2 - 90*h + 90*h - 8. Let w(p) = 3*p**2 - 8. Determine 5*w(t) - 6*z(t).\nAnswer: 3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1472\/112)\/23 - (305\/203 + -1)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - u + 292 = 3*u, -3*o + 5*u = -179. Suppose 9 = -5*n + 79. Calculate the lowest common multiple of o and n.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + -2?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -2 - (62 + -43 - -31).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 104 = -3*b - 350, -344 = -3*u + 4*b. Let a(o) = o**3 - 15*o**2 + 14*o + 11. Let l be a(14). Let k = l + u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1 - (4 + sqrt(6)\/sqrt(2)) - ((sqrt(192) + 0 - sqrt(192)) + sqrt(192) + sqrt(48))*2)**2*-5.\nAnswer: -3885 - 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a millennium in decades?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*x - x - 62 + 51 wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(-4 + 4 - 14*b - 22 + 22 + 8*b + (-2*b - 1 + 1)*(-6 + 4 + 4)).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -350 - -529. Let o = f + -184. Which is the smallest value? (a) o (b) -3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a meter in millimeters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2\/9, 11 in descending order.\nAnswer: 18, 11, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + s + 1. Suppose -8 = j - 5*j. Let n(g) = g**2 - 3*g - 2. What is j*n(l) + 4*f(l)?\nAnswer: -2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 24797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 256 = -5*d, d - 21 = 5*k + 7. What is the greatest common factor of 1664 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 3*v + 0*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4 + 2*n**3 - 7*n**3.\nAnswer: -5*n**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b6 + 560080?\nAnswer: 560176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2875*i**3 + 3836*i**3 - 7528*i**3)*(4*i - 4*i - i) + 53*i**3 - 53*i**3 - 9*i**4 in the form w*i**3 + k*i + p*i**4 + m*i**2 + j and give p.\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.88 + 2.12. Let i = 39 - 36.9. Let m = i - -7.9. What is the closest to -2\/5 in -1\/7, m, x?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 6*p**2 + 4. Let l(k) be the first derivative of -k**4\/2 + 17*k**3\/3 + 11*k + 560. What is -11*h(t) + 4*l(t)?\nAnswer: 3*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10544, -21163, -31870, -42665, -53548, -64519?\nAnswer: -75578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1) + (-1522)\/1290. Let u = 2\/43 + f. Let w = -1.9488 + -0.0512. Put w, 3\/5, u in ascending order.\nAnswer: w, u, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1101*b. Let u(t) = -t. Give u(z(c)).\nAnswer: 1101*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 5 - 1)*(-i + 0*i + 3*i) - 9*i + i + 2*i)*(-4*i - i + 3*i) to l*i + o*i**2 + v and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/320*(-4 + 3 - (-13)\/(-39))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400715587 is divided by 2930?\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**4*t)*t*t*t**(-5)*(t**(-1\/2)\/t)**(11\/6)*(t\/((t**(2\/13)\/t)\/t)*t**(1\/6)\/t*t)\/((t*t*t\/(t*t*t**(-8)))\/(t**(2\/5)\/t)) assuming t is positive.\nAnswer: t**(-13523\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -145, -121, -77, -7?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqq. What is prob of sequence dqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 3. Let n be a(-3). Let w = -6 + n. What is the closest to -0.1 in 0.4, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11826*u**3 + 11282*u**3 - 21216*u**3.\nAnswer: 1892*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1659 + 1622. Let k = -75 - -121. Let f = k + x. Which is the second smallest value? (a) f (b) -4\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 16 + (-1 - -7 - -3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 505210278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355105 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0 = 4*l + 4, 3*l + 2*z + 17 = 0. Let b = -49 - -85. Let i be (17\/7 + b\/(-84))\/(-2). Sort 23, i, l.\nAnswer: l, i, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-1) - 1 - -5. What is the highest common divisor of 16 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + p - 9, -4*p = -216*v + 221*v - 22. Solve 0*b - 2 = -v*b - 3*u, -4*u - 8 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58, -110, 28, 356, 874?\n\"Answer: 95*q**2 - 337*q + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73468 + 20818 = -18*l. Is 34 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*z + 3*z, 0 = 3*z. Let x = n - -3. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**4\/12 - q**3\/6 + 4*q**2. Let x be u(-2). Solve -y = x*w + 6, -y - 3 + 0 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 646069609, 646069625, 646069659, 646069717, 646069805, 646069929, 646070095, 646070309?\n\"Answer: d**3 + 3*d**2 + 646069605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/627 and -1\/399.\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b54 - -8a1b?\nAnswer: 7ca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (16660\/(-840) + (2 - -10))\/((-1)\/(6 - 0))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3830*f**4*j**2 - 306*f**4*j + 2*f**2*j**2 - 2*f**2 + 1120595*j**2 wrt f?\nAnswer: 91920*f*j**2 - 7344*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.05, -264, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 1581 + 0*i**3 + 5*i**3 - 762 + 2*i**4 - 10166*i**2 - 4*i**3 + 10168*i**2 as r*i**4 + w + k*i + b*i**3 + y*i**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/(-78) - (-10115)\/90675 and -193\/4650?\nAnswer: 13950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15*(3 - (-16)\/(-6)). Let d = w + 1. What is the units digit of 14 + 1\/((-3)\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 times -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 274\/59 + -26622\/295. Let k = -86 - p. Sort 5, k, -5 in decreasing order.\nAnswer: 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 10124 + 812. Let t = -1648 + 3833. Let o = r - t. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/10 + 83*g**3\/6 - 20*g**2 - g. Differentiate o(r) with respect to r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1700+-61.98\nAnswer: 1638.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - 4*p - 6 - 6*p to d + v*p and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29223969 by 17.\nAnswer: -1719057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 17 - 5*v**2 + 17.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 18 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2810552096\/11907 + 236042. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -547*a - 8 + 7 - 84*a - 1832*a.\nAnswer: -2463*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 2*l + 3*l**2)*(0*l - l**2 + 0*l) + (4 - 4 - 3*l**2)*(547*l**2 - 24 + 24) in the form j*l**2 + n*l**4 + w*l + y*l**3 + b and give n.\nAnswer: -1644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229597 - -5.\nAnswer: -229592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001170323 to seven decimal places.\nAnswer: -0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22314689, 22314691, 22314693, 22314695, 22314697, 22314699?\n\"Answer: 2*f + 22314687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8804400 and -127\/6603300.\nAnswer: 26413200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/5 - 11103*n\/5 - 33282\/5.\nAnswer: -3*(n + 3)*(n + 3698)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.35 + -0.35. Suppose 0 = 7*r - 3*r. Let m = -22 - -20. Which is the closest to r? (a) l (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36*-583073\nAnswer: -20990628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*y - 11*y - 126. Suppose -4*v - 5*h - 3 = -y, -3*v - 4*h = -14. Let z(s) = 7*s - s**2 - 1 - 3*s**2 - 3*s - s + 2*s**3. What is z(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20451 - 333?\nAnswer: -21004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 - 512\/(-24). Suppose 0 = -2*g + 5 + z. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122401334 - -4?\nAnswer: 122401343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*b*q**3 + b + 379*q**3 with respect to b.\nAnswer: 47*q**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.1 - 26. Let j = 0.2 + z. Which is the third smallest value? (a) -6 (b) j (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*2\/2*(352\/33)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**4 - 528*n**3 + 18240*n**2 - 190400*n + 648000 = 0.\nAnswer: -162, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1053 and 525606003?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 112302312132?\nAnswer: -112302312201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(5*(-6)\/(-120)*-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 4 (c) -11 (d) -87\/7 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = -2*a. Let q = 30 + -61\/2. Is q smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59\/220 - -1\/55. Which is the closest to -5? (a) w (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*l**5 + 3*l**2 - 218*l wrt l.\nAnswer: -160*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137252*r**6 - r**2 + r + 18170.\nAnswer: 16470240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b0289 - -239?\nAnswer: 1b04c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -14*l + 30 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20486574 + -1.5.\nAnswer: -20486575.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1457.\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 11:26 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -3, 0.\nAnswer: -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2136 - 665. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-10)\/9 - 10\/(-45)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -932885, -932883, -932881, -932879, -932877, -932875?\n\"Answer: 2*g - 932887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1143 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 23 = 3*h, -1184 = -3*h - 134*o - 1479 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 + 111*h**2 + 171*h - 51. Determine o(57).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -21*t**5\/2 - 249*t**4 - 1440*t**3 + 432*t**2 = 0?\nAnswer: -12, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130.1616 + -0.1616. Is o > -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-238)\/28)\/17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -401 (base 10) to base 12\nAnswer: -295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.835 + 261?\nAnswer: 303.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 - -61. Let c = n - -87. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t**2 - 3\/2*t**4 + 0 + 0*t + 15\/2*t**3.\nAnswer: -3*t**3*(t - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12*-10)\/((-2)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**4\/4 - 4*o**3\/3 - 7*o**2\/2 + 5*o - 315. Calculate y(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/20 and -95\/3636?\nAnswer: 18180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2)**7*(((n\/(n**7*n))\/n)\/n)\/n**(-4))\/((n**1*n)**(-2\/19)\/((n*n**(2\/3))\/(n\/(n\/(n\/n**(-5\/3))*n*n)))) assuming n is positive.\nAnswer: n**(194\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 8*a**2 - 21*a - 16. Let z be k(-4). Put -3, z, 7, -5 in descending order.\nAnswer: 7, z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -76162 + 4?\nAnswer: -76156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7310 - 20116 = -653*s for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaal when four letters picked without replacement from azzzzlalrzrz?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 0*l - 4 + 4*l - 2*l. Let n be b(-3). Let t = n + -5. Solve 0 = -3*x + 5*m + 37, -t*x + 4*m + 24 = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(285\/8)*(375\/(-60))\/(-5)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2633572 is divided by 438886.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 3495 + 2868. Calculate the remainder when 3021\/18 + (-5)\/(-30) is divided by r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1174 - 0.8826. What is the closest to s in -2\/3, -0.4, -3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + sqrt(75) + (sqrt(75) - (-2 + sqrt(75))))**2*-3 + (-4 + (sqrt(75)*-1 + -5 - sqrt(75)))**2)*6*5.\nAnswer: 4680 + 4500*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -262, -2, -5, 9\/7 in ascending order.\nAnswer: -262, -5, -2, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38520 by -90.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3075+-4\nAnswer: 3071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5581 divided by 1?\nAnswer: 5581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from {n: 4, t: 3, o: 1, l: 2, d: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/5807690 and 37\/252.\nAnswer: 104538420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 101010101?\nAnswer: 101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2 of a milligram in micrograms?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - j + 1. Let c(u) = -6*u**2 - 7*u. Let m(f) = c(f) - 5*s(f). Let a be m(-5). Let i = 26 + a. What is the lowest common multiple of 8 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3099 divide 48626409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -65888389 and -0.5.\nAnswer: -65888389.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -2, 66 in decreasing order.\nAnswer: 66, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8879 + 0.1121. Which is the closest to l? (a) -5 (b) 3 (c) -0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/37, -1, 0.1 in descending order.\nAnswer: 4\/37, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1 + 1\/1. Let r = -0.1 + -5.9. Let s = -9 - r. Which is the closest to s? (a) l (b) 2 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + 0.1. Let a = -0.1 + r. What is the second smallest value in -0.5, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -l - 0*q + 1477, 4*l + 5*q = 5873. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0637*-48\nAnswer: -3.0576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvc when four letters picked without replacement from {v: 3, h: 2, n: 1, b: 3, c: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 167468949 plus 19490?\nAnswer: 167488439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 3, -42, -115, -222, -369, -562, -807?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -5, 0.1, 6.34, -7556?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -1 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 37*f + 10*f - 2*f. Let k(l) = 2*l - 4. Let a be k(3). What is the units digit of h(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/(-15) + 0)*5\/(-2). Suppose a + 2*r = -k*a - 58, 23 = -4*a + 5*r. What are the prime factors of (3\/12*89)\/((-3)\/a)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52552\/11631 at most 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-132)\/4*(-2)\/(-2). Let x = b - -64. Is 31 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 3\/4 (b) -279\/7 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 - 0.71. Let z = -0.4 - g. Let l = 1612\/165 - 106\/11. What is the third biggest value in z, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Suppose 36*h = 33*h + 30. Suppose -3*f - h = -8*f. Let a(s) = 103*s**2 - 49*s**f - 51*s**2. Give b(a(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4836676 is divided by 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11211 + 200103?\nAnswer: 122232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(735) + -2*sqrt(735) + sqrt(735) + sqrt(735) + sqrt(60)\/sqrt(4)*1 + sqrt(15))\/((sqrt(33)*3)\/sqrt(11) - 4*sqrt(75)).\nAnswer: -45*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - 0.4. Let c = -0.5 - g. Let t be (2\/(-8))\/((-2)\/(-4)). What is the third smallest value in c, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 8. Solve -2*i + 5 = 4*o - 1, 5*i = a*o + 27 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*y - 136. Let f = -7235\/3 - -2432. What is the common denominator of f and (7 - 0)*-3*(-30)\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44333 is divided by 83?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*h**3*m**2 - 4*d*h**3*m + 4*d*h**2*m**2 + 3*d*h**2*m + 11849*d*h*m + 29718*d*m**2 + 2*h wrt m.\nAnswer: -4*d*h**3 + 8*d*h**2 + 59436*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (571 + 317 - 172)*(2 + 4*n - 2*n - n) - n + n + 2*n.\nAnswer: 718*n + 1432","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - 4*o**2 - 7*o + 1. Suppose 4*m - 5 = 15. What is the units digit of r(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/11 (b) 4 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (-9 - -3 - -20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43361150 or -43361149?\nAnswer: -43361149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**2 + 29*f + 5. Let j(n) = -8*n**2 - 30*n - 6. Let o(c) = 5*j(c) + 6*l(c). What is the second derivative of o(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.3. Let r(v) = v + 4. Let x be r(-8). Let t = -102 + 106. What is the closest to 2 in z, x, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.0511 + -0.0511. Let r be (-10)\/36 + (-2)\/(-4). Which is the smallest value? (a) r (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**6\/15 + z**3\/6 + z. What is the second derivative of p(a) wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/90 + (-4)\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235006239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8929 + -8932. What is the closest to 37\/9 in 4, 10, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*w + 174. Let o be w\/42 - (-2)\/7. Suppose 5*j + 2*n - o = 0, 0 = j + 4*n + 12 + 2. Solve j*g - a + 1 = 6, 0 = -4*g - 4*a - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 + 11.4. Let m = -18 + j. Let c = -89.08 - -88.98. What is the nearest to c in m, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eekrekcekcekc. Give prob of picking 3 k.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64 - -82) + 0 + 17 + 2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - -5*(sqrt(95)*-1 - sqrt(95) - sqrt(95)) - -6*-1*sqrt(95))*-2)\/(6*-2*2*sqrt(320)).\nAnswer: -5*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**10\/10080 + i**6\/120 + i**4\/4 + 9*i. Let n(m) be the third derivative of x(m). Find the second derivative of n(o) wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -331*m**4\/6 + m**3\/6 + 643*m**2\/2 + 7527*m. Find the second derivative of c(d) wrt d.\nAnswer: -1324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 8. Let k = -1 - 7. Let g be k\/(-52) - 80\/182. Which is the third smallest value? (a) m (b) -3\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 8 = 3*c, -2*g + 16 = -3*c. Suppose -g*s = -0*s - 30. What is the remainder when 3\/(((-18)\/20)\/(-3)) is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*w**3*x**2 + 4*w**2*x**2*z**2 + x**2*z - 131*x*z**2 with respect to w.\nAnswer: 12*w**2*x**2 + 8*w*x**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -24, -5, 5, 118, 3 in decreasing order.\nAnswer: 118, 7, 5, 3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 32446430*u + 52638540987245.\nAnswer: 5*(u - 3244643)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*k - 6 = 0, 2*x = 167097*k - 167091*k - 34 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c*h**3*i*p**3 + 326*c*h**3*p**3 - 3*c*h**3*p - c*h**2*i*p**2 - 11*c*h*i*p**2 + 13*c*h*p**2 wrt p?\nAnswer: -24*c*h**3*i + 1956*c*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1232 = o, 5*u - 10*u - 2*o = -6157. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -21, 1393, 1, -5.\nAnswer: -21, -5, 1, 5, 1393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 4:54 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2*490.1911\nAnswer: 980.3822","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 0.1885 times -16999\nAnswer: -3204.3115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 120182 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 12\/2)*-1 - -645. Round p to the nearest 10.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 76 = -0*z + 3*h, 0 = -2*z - 5*h + 72. What is the remainder when z is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 6:52 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201153, -198158, -195161, -192162, -189161, -186158?\nAnswer: -183153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 45 - 5*g - 45.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22901 - 22899. Let s(w) be the first derivative of -46 - 3\/2*w**k + 0*w. Let g(m) = 8*m**2. What is g(s(v))?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*j**2 - 24*j**2 - 29*j**2 + 49*j + 79*j**2 - 174.\nAnswer: -2*j**2 + 49*j - 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 359897284 from -4.\nAnswer: -359897288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.51875 weeks in days?\nAnswer: 409.63125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2. Let y(f) = 11*f**2 + 3150*f + 1. Determine y(j(w)).\nAnswer: 176*w**4 + 12600*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**3\/3 - n**2\/2 + n. Let w be c(-4). Let u = 26083 - 26082. Which is smaller: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 11*w**2 + 10*w. Let d be g(10). Solve -4*m + 13 = -5*h + 28, -h + 4*m + 19 = d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 8\nAnswer: 23\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)\/1*3. Let q be 19\/(-6384)*-497 - 12\/(-36). Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**7\/1008 + 7*y**5\/60 - 11*y**2. Let c(a) be the third derivative of w(a). Let i(n) = n. What is i(c(v))?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.2 + 46.8. Let f = h + -61. Which is the closest to 2\/7? (a) 0.12 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -329507 < -329391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*z - 474*z - 10940 = -93*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 86. Let d = 123.4852292 - 189.4852389. Let p = f - d. Round p to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -3\/5 (c) -0.1 (d) 64\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-20)*(-7 + -23)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21446646 divided by -34?\nAnswer: -10723323\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 5) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 119*w**2 - 47*w - 12. Let m(n) = -59*n**2 + 23*n + 6. Let h(y) = 11*m(y) + 6*t(y). Factor h(r).\nAnswer: (5*r - 3)*(13*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3077*h = -3092*h - 105. Let i(s) be the third derivative of -s**4\/24 - s**3\/3 + s**2. Give i(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h - 1. Let z be d(-1). Let g(u) = -u + 2 + z + 1. What is g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -1\/7 (c) -0.23 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 301 + -1489?\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 269 in 435, -2, -32?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187473*y + 187399*y = -1184 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44.80532 centimeters?\nAnswer: 448053.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + 3*s**4 + s**4 + (23*s**3 - 37*s**3 + 22*s**3)*(-4*s + 4*s + 2*s).\nAnswer: 19*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h - 4. Determine i(12).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*x = 42, -12*x + 11*x + 42 = 3*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**5\/11 + 2708*z**4\/11 - 155832*z**3\/11 + 2931120*z**2\/11 - 18273600*z\/11 = 0?\nAnswer: -1410, 0, 18, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1.1. Let m = 38 + -7. Let y = -26 + m. Is y bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l = -2*t + 179, -3*l = 20*t - 19*t + 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79784935 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 133503 is divided by 941?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*(-2)\/(-1). Let i(n) = 4 - 2*n**2 + c*n**2 + 2. What is the units digit of i(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32016399 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283681 (base 10) to base 2.\nAnswer: 1000101010000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 10*o**2 - 9*o - 4. Let r = -59 + 23. Let m be 411\/45 + r\/270. Determine u(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2444 divided by -1\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-8 - 3) + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -397\/3 + 131. Which is the third smallest value? (a) -1\/2 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4140999?\nAnswer: 3, 460111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.13 - 1.13. Sort 0.4, c, -5, -0.5 in descending order.\nAnswer: c, 0.4, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(1\/((-4)\/(-3))). Suppose -3*d - 8 = -7*d - 2*y, 4*d - m = -4*y. Factor -2\/3*v**3 - v**d + 0 + v**4 + 2\/3*v.\nAnswer: v*(v - 1)*(v + 1)*(3*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1518*2.8.\nAnswer: 4250.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 + 96*o**2 - 102*o**2 + 31*o**3 - 4 as y*o + l + f*o**2 + x*o**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -53, -120, -215, -338, -489, -668?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 146 + -179 + (69 - -15)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b. Let a = 20 + 33. Let p(j) = -58*j + 109*j - a*j. Calculate n(p(s)).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -285682000 rounded to the nearest 1000000?\nAnswer: -286000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92691113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from {i: 1, h: 4, b: 2, n: 2, e: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + m = -128, 2*m - 4 = 0. Suppose 9*v - 6*v = 4*d - s, -6 = 3*v. Suppose -4*j + 2*u - 294 = -6*j, -d*u = -15. Is j a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-15)\/(-36)*2\/(-15)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 660 and 231.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**(-1))*a*(a**(2\/19)*a)\/a)\/((a**(-6\/13)*a)\/a*a*(a*a*a**(-28)\/a)\/a) assuming a is positive.\nAnswer: a**(7550\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 1. Let r be p(6). Let t(z) = -z**3 - 4*z**2. Let d(k) = k**3 + 5*k**2. Let l(m) = r*t(m) - 4*d(m). What is f in l(f) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*j = -30, -3*j = f - 3 + 13. Find the third derivative of -2*x**f + 5*x**5 - 3*x**2 - 9 + 9 wrt x.\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p - 28 - 21 - 71*p + 24*p.\nAnswer: -28*p - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 251 - 716 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 1610994*g + 216275139003.\nAnswer: 3*(g - 268499)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 195 * 3358\nAnswer: 654810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62550*x**4 + x**2 + x - 105 wrt x.\nAnswer: 1501200*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -49900 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -433, -26, -4, 1, -25.\nAnswer: -433, -26, -25, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*q + 2*p, 21*q - 17*q - 3*p = 67. Let n be ((-28)\/105)\/(q\/(-36)*3). Which is the closest to n? (a) -3 (b) -2\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62582849*o - 63824026.\nAnswer: -62582849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1\/6, -9\/23, 5 in descending order.\nAnswer: 5, 1\/6, -9\/23, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, b: 1, l: 3, m: 3, y: 4, i: 2}. Give prob of sequence gbm.\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-9))\/(4\/(-2580)) - 3. Suppose 0 = 11*j - 7*j - g. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 2640724?\nAnswer: 2640724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 17, 3\/7, -5944?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bybzgzyzzbzyoj. What is prob of picking 2 y, 1 j, and 1 b?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 w when four letters picked without replacement from {y: 8, w: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 3, 5034, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from wtwwwwwttww.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2 = 2*i, 6*i - u = i + 41. Calculate the remainder when 50 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1090807400 to the nearest one million.\nAnswer: -1091000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 218946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4\/3 + 55*y**3\/3 - 155*y**2\/3 + 35*y.\nAnswer: -5*y*(y - 7)*(y - 3)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -319\/2 (b) 3 (c) 521 (d) 0.2 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3252*y**2 - 10*y + 13. Does 55 divide k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 312 - 310. Solve 0*i + h*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -5648\/111, -3 in decreasing order.\nAnswer: 2\/3, -3, -5648\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -645*o**2 - 190*o + 2540670 wrt o?\nAnswer: -1290*o - 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17 - 0.32. What is m rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Let o = v - 6. Is o*(0 - (-30)\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 185 = 7. Suppose -11 = -5*p - w. Let s(v) = 10*v + 5. Let r(d) be the first derivative of -d**2\/2 - d + 2. Calculate p*s(q) - 5*r(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 9*f - 156 = 0. What is the remainder when 46 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-5) + 16\/4*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**4 + 282*g**3 + 549*g**2 - 282*g - 552 = 0.\nAnswer: -92, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 62*c**2 - 16*c - 11. Let u be p(-8). Suppose -x + 4*x = -2*a + u, 2*x = 5*a + 2717. Round x to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7206 + -4175. Let w = -2034 + k. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjxxfmnmmxmfmmxj. Give prob of sequence mjm.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert eb6eb0 (base 15) to base 8.\nAnswer: 52611652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/(-20))\/(2\/5). Let t = o + -2. Solve -4*u + 0*a + a = 14, u + t = a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1430026, 1430034, 1430056, 1430098, 1430166, 1430266, 1430404?\nAnswer: 1430586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9971 - -9972. Which is the second smallest value? (a) 1\/8 (b) -0.9 (c) -0.4 (d) 0.5 (e) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48896 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 prob of picking 1 a and 1 d when two letters picked without replacement from dvdavdvddadd?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-8 + -1 + 3) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016439 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 10 = 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -322.\nAnswer: 96.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/5 (b) -2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 564 + 2496. What is the hundreds digit of (-168)\/(-252)*6*(j - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -133. Calculate the lowest common multiple of 87\/(-203) - l\/(-7) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*n**4 + 269*n**3 - 2*n + 53466.\nAnswer: -16*n**3 + 807*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + l - 646*l**2 + 647*l**2 - 1. Let m(j) = 9*j**3 - 8*j**2 + 2*j + 5. Let b(d) = m(d) + 6*q(d). Give b(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 + 166 = 2*i. Suppose 0 = 3*v - i - 40. Calculate the remainder when v is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -1\/4 (c) 183 (d) -1.1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*k + 84. Calculate the remainder when k is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1468774, 1468776, 1468778, 1468780, 1468782?\n\"Answer: 2*t + 1468772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Suppose -10 = -2*p, -3*i - d*p = -5*p - 2. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 2*d**2 + 1. Let c be z(2). Let g be 0\/(-2)*(-2*c - -3). Solve f + 0*b + 4*b + 9 = g, -5*b = -5*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 150 = -40. Solve 3*h = -v*h - 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 350 - 99. Suppose -w + 254 = v. Solve w*c + 7 = -2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2905 divided by -5\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132210122 (base 4) to base 11.\nAnswer: 86088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -1 (c) -2\/13 (d) 9\/11 (e) 0.2 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(1700) - (sqrt(1700)*1 + sqrt(1700))) - (-4 + 1 + sqrt(1700))) + 2)*-5 + 4 + -2)**2.\nAnswer: 2300*sqrt(17) + 43029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -291 - -286. Let v = -16 - -20. Let i be (6\/(-3))\/(2\/v). What is the biggest value in i, 4, a, 0.13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2932*f + 18994. Is p(8) a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48303 - 1319*v**3 - 48303.\nAnswer: -1319*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2. Let f(q) be the second derivative of 71*q**6\/720 + 14*q**4\/3 - q**3\/6 - 58*q. Let v(i) be the third derivative of f(i). Determine g(v(c)).\nAnswer: 10082*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuyyyuuuu. What is prob of sequence kyuy?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 5\/(-2 + 1 - 3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 6*i**2 + 7*i - 9. Let o(x) be the first derivative of -5*x**2\/2 + 8*x - 22. Let d be o(3). Let r be k(d). Is -7 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27527 - 11947. Suppose 1135 + s = q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45442 (base 9) to base 5\nAnswer: 1432001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/2 and -4 + (-70)\/(-16) + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 42*h**2 + 13*h - 522. Calculate u(42).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 429 - -34955?\nAnswer: 35081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20\/427 + -39871\/3416. Suppose -2*q - 2*b + 56 = 0, -3*b + 100 = 3*q - 4*b. Calculate the common denominator of (q\/(-22))\/((-4)\/(-8)) and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0 + 1\/42*g**4 - 1\/21*g**3 + 2*g**2 + 0*g - 1\/210*g**5. Suppose y(m) = 0. Calculate m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-1733.2\nAnswer: 173.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 2.\nAnswer: 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30326083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 + 5*n + 2. Let o(r) = -2*r**2 + 3*r + 1. Let g(q) = 2*q - 11. Let l be g(8). Determine l*d(s) - 8*o(s).\nAnswer: s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-168)*(-40)\/10)\/(6\/(-882))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90\/3*((-15236)\/(-39) - 7). Which is bigger: 11509 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 4*z**2 + 6*z + 102. Let n(j) = j**3 - 5*j**2 - 7*j - 101. Determine 4*n(l) + 5*p(l).\nAnswer: -l**3 + 2*l + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 20.2. Let p = -1.2 - d. Let r(o) = o**3 - 5*o**2 - 2*o + 8. Let j be r(5). Which is the nearest to 3? (a) -0.3 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55224.1 - -55224. Let t = -0.6 - 9.4. Let h = 0 - t. Which is the closest to h? (a) 4 (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 381\/4, 2\/13, -29\/4 in decreasing order.\nAnswer: 381\/4, 1, 2\/13, -5, -29\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + 33 + 2 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8625750 - 8625749.30000016. Let m = 0.7 - l. Round m to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 442 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -29*m**2\/3 + 91*m\/3 - 4 = 0.\nAnswer: 4\/29, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3131 + -1725?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61943322 to the power of 1\/2, to the nearest integer?\nAnswer: 7870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r. Let m(y) = 12*y. What is o(m(q))?\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 21 (b) -0.7 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 60520412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**3 + 63*w**2 + 36*w - 1654. Calculate a(-12).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 18. Let y(o) be the second derivative of 17*o**5\/10 - o**3\/2 - o**2 - 5*o. Let u be y(2). Calculate the highest common divisor of u and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008248022 rounded to 5 decimal places?\nAnswer: -0.00825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 703 divided by -1\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 6*q + 6. Let t be f(5). Suppose 24 = -5*r - 4*j, 2*r + 12 = -5*j - 1. Put t, -5, r in increasing order.\nAnswer: -5, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32250\/11 + -2911. Let f = q - 21. Let y = -1.1 + 0.1. What is the nearest to -0.1 in f, 4, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6795994, 6795995, 6795996, 6795997, 6795998, 6795999?\n\"Answer: s + 6795993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -257 at most 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + u**2 + u**2 + (22 - 3*u - 22)*(u + 1 - 1).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 d when three letters picked without replacement from {j: 2, r: 8, d: 2, p: 3}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.61, -5, 5, -1.6 in ascending order.\nAnswer: -5, -1.6, 0.61, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 29. What is the greatest common divisor of 50 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*a + 8 = 0, 4*a + 3 = 19 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286308388 to the power of 1\/2, to the nearest integer?\nAnswer: 16921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 4*c**2 + 3*c - 1. Let i be (-1)\/(-4) + 565\/(-20). Let r = i - -43. Suppose 2*a = -a - r. Calculate l(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 1:56 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -4 (c) 0.08 (d) -60 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 15\/(-25))*45\/(-16 + 25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/168980 and -137\/115430?\nAnswer: 16391060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*g - 8571*g**3 - 8568*g**3 - 1 + 17156*g**3 to n*g**3 + f + p*g + t*g**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214386600?\nAnswer: 2, 3, 5, 67, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 43 - k**2 - 43 + 2*k**2. Let f(x) = 4*x. Calculate f(d(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**4\/24 - s**3\/6 - 2*s**2. Let i be m(6). Let d = -4 + 5. What is the closest to 1 in i, d, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45714631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 13*p. Solve -y + 3*r - 8*r = 4, p = -4*y + 4*r + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206.5202+3\nAnswer: -203.5202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrkzrzkkr. What is prob of sequence kk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2543 bigger than -2544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -123679858, -247359723, -371039588, -494719453, -618399318?\n\"Answer: -123679865*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -184*w - 2*w**4 + 17995*w**3 - 4*w**2 + 17989*w**3 - 35962*w**3 + 240.\nAnswer: -2*(w - 10)*(w - 2)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/150*34620\/(-55392)?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 68 = 112894*v - 112890*v + 5*n, -2*v + 4*n + 34 = 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -49, -5, 41, 89, 139, 191?\n\"Answer: v**2 + 41*v - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6008668?\nAnswer: 2, 31, 47, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 39 = 5*h + y, -20 = 3*h - 4*y. Sort -1, h, 4 in descending order.\nAnswer: 4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 0, 2*m - d = -m + 6. Let a = -1775 - -1784. Suppose 7*j = a*j - m. Which is greater: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5 + 1 = 0. Suppose -10 = -4*a + l*a. Suppose 4*p - a*q = -0*p + 14, 5*p + 4*q = 38. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.12, 0.6?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcx when three letters picked without replacement from cxcxccc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -321, -318, -315, -312?\n\"Answer: 3*d - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - x + 46 = 0, 0 = 3*u + x - 1 - 71. Let a(k) = -k - 7. What is the remainder when u is divided by a(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370 = -65*l - 9*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58886434 is divided by 2877?\nAnswer: 2875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**5\/60 - r**4\/3 - r**3\/2 + 2*r**2. Let u be a(-4). Suppose -4*x - 25 = 5*o - 91, x - u = -o. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*n - 30 = 0, -1007*m - 10*n + 35 = -1004*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 30*v**4 + 95*v**3 + 119*v**2 + 59*v + 5. Let j(z) = -15*z**4 - 47*z**3 - 59*z**2 - 29*z - 2. Let p(u) = 4*i(u) + 7*j(u). Let p(t) = 0. What is t?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -49593 take away 168.98?\nAnswer: -49761.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6156?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33420960 and 1860?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -2)*(0 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 a, and 2 z when four letters picked without replacement from zeeazezeaeeaaeeaz?\nAnswer: 12\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + 0*q)*(-4*q**2 - 2*q**3 + q**4 + 11*q**2 + 4*q**3).\nAnswer: -3*q**5 - 6*q**4 - 21*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 27 - 1. Suppose n = 5*r - 6, -l*r - 14 = -r - 5*n. Suppose -r*b + 5*b - 3*t - 2199 = 0, -5*t = 3*b - 2199. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -20\/3172271, 0.5.\nAnswer: -5, -20\/3172271, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 393.926 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*g - r = 102*g + 349, 170 = g + 4*r. Calculate the highest common divisor of 54 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*c**4*y**2 - 40*c**3*y**3 + 9*c**2*y - 2*y**3 + 826 wrt c.\nAnswer: 1296*c*y**2 - 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6395022749?\nAnswer: 257, 24883357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.021 to 1 dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58\/(-4)*(1 - 9\/3) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(5\/9)*(d*d**(-13\/5))\/d assuming d is positive.\nAnswer: d**(-92\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 31416*1\nAnswer: 31416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 77. Calculate the highest common factor of 36 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/((-12)\/(-3) + -2). Suppose -4*r + q + 15 = 0, -r - p*r + 5*q = 10. Let v(o) = -o + 4. Let z be v(4). Solve -2*x - r - 3 = z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.14 * 1.512256\nAnswer: 3.23622784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 12364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 + 2*x**2 + 5*x - 25. Let s be h(6). Let t = s + 358. Factor 2\/17*j**t - 4\/17*j**2 - 8\/17 - 14\/17*j.\nAnswer: 2*(j - 4)*(j + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (103695\/(-5575))\/((-18)\/20). Factor 8 + 14\/3*n**2 - v*n.\nAnswer: 2*(n - 4)*(7*n - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 10\/19, -5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 67029093 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57 in 2\/303, 2\/95, -0.06, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9755 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -348912 rounded to the nearest one thousand?\nAnswer: -349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 12664.72807 to the nearest integer.\nAnswer: 12665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-565)\/452)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164\/(-287) - (-260)\/112?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 533*h**2 - 289*h**2 - 283*h**2.\nAnswer: -39*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 2:13 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 47. What is m(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 - 3*l**4 + 4*l**4 + (-3*l**3 + 3*l**3 - 2*l**4)*(-5 + 4 - 1) - 506*l**4 - 21618*l**2 + 21618*l**2.\nAnswer: -504*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*(-69)\/207.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 795.\nAnswer: 2, 3, 795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 17*h - 144. What is f(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/734 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z - 88. What is p(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3, -0.2, 0.06464, -8\/3?\nAnswer: 0.06464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*r**3 + 81*r**3 - 314*r**3 + 78*r**3 + 76*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 25*w - 24. Solve 2*b - w*b + 5 = -4*a, a + 2*b = -8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q**5\/5 + 56*q**4\/5 - 156*q**3\/5 + 136*q**2\/5 - 6*q = 0. Calculate q.\nAnswer: 0, 1\/3, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 937 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 0)*(-5)\/(-10). Solve c + 0*c = -q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0 + 0)*(72 - 780 + 367)*(0 + 2 - 4).\nAnswer: -1364*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(66)\/sqrt(3))\/sqrt(2) - sqrt(11)) + sqrt(11) + 5).\nAnswer: -15 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5069, 9509, 13953, 18401, 22853?\nAnswer: 27309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 - 1924*a\/9 - 8848\/3.\nAnswer: -2*(a + 14)*(a + 948)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -131*(-1 + 118\/11). Suppose -10*a + 4*a = -7638. Let q = r + a. Calculate the common denominator of q and 7\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12728*a**3 - 188*a**2 - 268 wrt a.\nAnswer: -76368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1505 - 1022. Suppose -2*w - 229 - u = 0. What is the units digit of (-4)\/(-14) + w\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 - 29 - 29 + 128 - 31 - 7*c**2 to b*c**2 + h + l*c and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4876 (b) 901 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 6308030.\nAnswer: 119852570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14246 - -555560\/39. Find the common denominator of g and 41\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(308) - (sqrt(308) + -2*-2*sqrt(308) + sqrt(308) - sqrt(308)))\/sqrt(7)*1 + 2.\nAnswer: -8*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 20 + 17 - 5 + 2*q. Let n be x(-4). What is the greatest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p + 5. Let x = -615 + 613. Calculate b(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-75)\/(-10)))\/((-1664)\/3840).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3733*a**4 + 1986*a**3 + 11*a**2 + 6504682*a?\nAnswer: 89592*a + 11916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1143*z - 259. Let y be u(3). What is the greatest common divisor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*((-4)\/28*1)\/((-2)\/7). Let f(d) be the third derivative of 1\/42*d**7 - 10\/3*d**3 + 0*d - 5\/3*d**4 - 7*d**2 - 1\/4*d**l + 1\/12*d**6 + 0. Factor f(b).\nAnswer: 5*(b - 2)*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -5\/2*v**2 - 1\/12*v**4 + 0 - v**3 + v. Let z be u(-5). What is the nearest to z in -0.5, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/20 in 2\/9, 3.5, 0.5, 3.8, -2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110247391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 281, 3 in descending order.\nAnswer: 281, 38, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -179270.3422 rounded to the nearest 10?\nAnswer: -179270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpphdbwdpp. What is prob of sequence hpdh?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(900) + (1*sqrt(36)\/sqrt(4) - sqrt(9)))\/(sqrt(36)\/(sqrt(60)\/sqrt(5))*5).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297.93384 months to years.\nAnswer: 24.82782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3 + 13 = 13*g - 56*g, 0 = 4*g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 take away 107315766841?\nAnswer: -107315766958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 3599604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11*u + 10. Let f(v) = 10*v - 9. Let h(s) = 6*f(s) + 5*n(s). Let j = 23 + -16. Is h(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -34579, -4 in decreasing order.\nAnswer: -4, -97, -34579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (-2 + 2) - (-1212 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4 = -24. Let x be 1\/q - 30\/(-24). Solve 2*b + x = -5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) + 35\/(-15) + 5. Suppose -b*m - 5*f - 6 = -3*f, -5*m + 9 = -3*f. Let r(s) = s**3 + 3*s**2 + 2. Let p be r(-3). Sort 4, p, m in descending order.\nAnswer: 4, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*o + c + 1, 4*o - c = 3. Let i be 12\/(-54) - (o + (-184)\/18). Suppose -17*g + 308 = -i*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 8*f - 6 + 6 - 7 as w*f + j and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 225 and 9370350.\nAnswer: 9370350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(24))\/((-2*sqrt(18))\/sqrt(9))*-1*-6)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2315520 and 1676160?\nAnswer: 224605440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbkbkbkbbk. What is prob of sequence kkbk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11243 + 4263?\nAnswer: 15526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 24 + 16 = 0. Let z = 4 + o. Suppose 6*p - z - 70 = 0. Is 14 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6442 is divided by 599.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 247278.02 rounded to the nearest 100?\nAnswer: 247300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 462 (b) -1\/3 (c) -3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 4. Let u(y) = y + 4. Suppose -3 = -4*a + 13. Let f(t) = a*u(t) - 5*i(t). Let n be f(-7). Solve -n = -3*k + 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - x - 5. Let c(i) = 4*i**2 + 3*i + 14. Let g(a) = -c(a) - 3*f(a). Let n(w) = -2*w**3 + 6*w**2 + 2*w - 7. Let r = 2 + -3. Give r*n(y) - 6*g(y).\nAnswer: 2*y**3 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 1\/161, 0.9, 0, -48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*v + 8150 + 4282. Is v less than or equal to -517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 109 = -5*h, -431*h - 39 = -444*h - m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3755 - -3758. Solve -35 = -y*l + 5*b, -2*b - 28 = -2*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5222 - -5221.9. What is the second biggest value in i, -30\/17, 5\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5095, 10179, 15265, 20353?\nAnswer: 25443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 + 13*v + 11. Suppose -17 = -u - 4*r, r + 13 = 5*u - 3*r. Let a be q(u). Let m(l) = 21*l**2 - l. Determine m(a).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1065462188 divided by -4909964.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -40. Let h = 26 - f. Differentiate -4 + 4*z**2 - 10*z**h - 7 + 2 with respect to z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 4:26 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 821446686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) 0.1 (c) -3 (d) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24872612*h**4 - 19*h**2 + 223079*h.\nAnswer: -596942688*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - m + 57. Give f(0).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20244990*r**4 - 7673*r + 1941.\nAnswer: -242939880*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1568 or 1308037\/834?\nAnswer: 1568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -86, -171, -256, -341, -426, -511?\n\"Answer: -85*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41520 + 212405?\nAnswer: 140555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11064 + 84?\nAnswer: -10980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 7. Let x = 16 - t. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29757614?\nAnswer: 2, 14878807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/2634676 and 7\/6.\nAnswer: 7904028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 0*y + 5*y - 2 - 24. Let k be d(9). Calculate the common denominator of 67\/22 and 52\/4*(k\/8 - 0).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/2076 and -99\/8.\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -9*n + 4. Determine d(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {u: 1, z: 1, m: 1, q: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(500) + -4 + 1*(-2 + sqrt(500) + sqrt(500))**2 + (sqrt(500)*2*3)**2.\nAnswer: -70*sqrt(5) + 19996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 462253607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z - 46 + 3*z + z.\nAnswer: -7*z - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**25\/l**(1\/7) assuming l is positive.\nAnswer: l**(174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 54428045 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83481, -166959, -250435, -333909?\nAnswer: -417381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 + -361\/4. Find w, given that -9\/4*w - d*w**2 + 27\/4 - 3\/4*w**3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 430, -1\/4, -118, -5.\nAnswer: -118, -5, -1\/4, 430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16772, 16766, 16744, 16700, 16628, 16522, 16376?\n\"Answer: -k**3 - 2*k**2 + 7*k + 16768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/7 - 193*y**4\/7 + 2021*y**3\/7 - 3467*y**2\/7 + 234*y = 0. Calculate y.\nAnswer: 0, 1, 9, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 22. Let o = -4 + h. Let t(v) = -v**3 + 6*v**2 + 8*v - 1. What is the lowest common multiple of o and t(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14*1\/12*(-6052)\/(-1428) and (88\/80)\/((-4)\/(-70))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47*(-23)\/4324*(-22540)\/(-49).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 10. Let x be s(-8). Solve -5*i + x - 16 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 - 93. Let d(g) = 32 - 24*g - 20 - c. Let r(n) = 4*n. Determine d(r(q)).\nAnswer: -96*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21298623 to the nearest integer?\nAnswer: 4615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 5*o**2 - 211*o + 1793. Calculate v(8).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.1 - -1.1. Let p = -14436 - -14431. Let l = -0.3 - -0.5. Which is the fourth smallest value? (a) l (b) x (c) -1\/3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 - 77. Let a(f) = -5*f**2 - 5*f - 2. Let c(v) = 6*v**2 + 5*v + 2. Let p(m) = -5*a(m) - 4*c(m). What is p(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2892, -2891, -2890, -2889?\nAnswer: -2888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1066 is divided by 180?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*f - 121*f + 77591*f**3 - 77592*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 80?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*b + 12601, 4*y - 8508 = 2*b + 4102. What are the prime factors of y?\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 8*d - 5. Let w be m(7). Suppose w*q - 6 = -0*q. Let g = 16 + -11. What is the remainder when g is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1655448\/36)\/((-8)\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 11 = 3*y, 2*i = 5*y + 13 + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 5, -3, -4, 2, -1, -66.\nAnswer: -66, -4, -3, -1, 2, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 7*l**6\/360 - 17*l**5\/120 - l**4\/24 + 2*l**2. Let i(w) be the second derivative of v(w). Differentiate i(b) wrt b.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7195818?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -32, 5 in increasing order.\nAnswer: -32, -25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 813.73 + -1296. What is g rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 4*a. Suppose -2*v + t + 2 = a, 2*v + t = -3*t - 18. Let s be -2 + 14\/4 + v. Which is bigger: 0.3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 7*k + 11. Suppose 8 = -2*q, 4*q = -5*h - 11 - 30. Is 19 a factor of i(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1739 is divided by 155?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 837 + -833 + (8 + -5 - 67).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/50 in 1\/2, -0.1, 13393, -4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a + 171. List the prime factors of l(-10).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000016231 rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -7\/2*a**2 - 7\/3*a**3 - 4 - 6*a + 1\/4*a**4. Let s be m(8). Solve 0 = -s*l + 3 + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59\/110 - ((-85)\/(-68))\/5*2.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 11:01 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) -2\/5 (c) -1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3\/2 + 10*z**2\/3 + 23*z\/6 - 1 = 0.\nAnswer: -1, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:06 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ampavvpappxpp. Give prob of sequence mvmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) 14.7 (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 6*b**2 + 42*b + 1. Give c(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -15*p - 33. What is m(-14)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.52704g to kilograms.\nAnswer: 0.09052704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-3) + 1*6. Suppose 2*q = -r + 9, -u*r + 9 = q - 0*r. Let v be (0 - q\/5)*-5. Solve 2*n = v - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2 + (-2688)\/1248.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.89 (b) -0.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -274*v**2. Let i(u) = 4377*u. What is w(i(n))?\nAnswer: -5249327346*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63585594?\nAnswer: 2, 3, 409, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97169424 to the power of 1\/2, to the nearest integer?\nAnswer: 9857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*t = -74, -2*b - 78 = 1538*t - 1542*t for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128*m - 297*m - 21*m)*(-2*m - m + m).\nAnswer: 380*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ioic when four letters picked without replacement from {r: 2, o: 3, c: 2, t: 1, i: 6}.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28, 40, 34, 10, -32, -92?\n\"Answer: -9*y**2 + 39*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/7 - 6*b**3\/7 - 1026*b**2 + 111646*b\/7 + 251940\/7 = 0. What is b?\nAnswer: -65, -2, 19, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48956, 48958, 48960, 48962, 48964?\nAnswer: 48966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*q + p + 7, -3 = -2*q + p. Solve 4*v - 6*v + q = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 6*g - 4. Suppose -5*h + 36024 = 4*l + 11544, 3*l + 19615 = g*h. What is h rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 12 - 4)*(-2*j - 3*j - 3*j) - 4*j - 5 + 5)*(-1 + 2 + 0).\nAnswer: 124*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2712590 is divided by 1030?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-630)\/(-560))\/(3\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5073 by 6.\nAnswer: -1691\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76383063*x + 175*x**3 + 76383063*x.\nAnswer: 175*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 280*u + 345*u + 13 + 9.\nAnswer: 65*u + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**4\/24 + g**3\/6 + 6*g**2. Let q be i(7). Solve -3*t + q = 5*f + 35, -4*t - 16 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 8. Suppose a - 79 = -4*c. Let q = -1 + 3. What is the highest common divisor of q and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/15)\/(m\/(m\/(m\/m**(-1\/2))*m)))\/((m*m*(m\/((m\/m**5)\/m))\/m*m)\/m**1)*((m*m**(-1)*m*m)\/((m*m**4\/m)\/m))\/(m*m**(2\/7))**(-38) assuming m is positive.\nAnswer: m**(8447\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 8*c**2 + 9*c - 9. What is a(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -1. Let x(z) = 3*z - s*z**2 - 2 + 8*z**2 - 4*z. List the prime factors of x(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 1. Let f be h(3). What is the closest to -0.2 in f, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1402620 by -23377.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**4 + 6113*s**3*y + 2*s**2*y - 11*s**2 - 6*s*y - 12*y wrt s?\nAnswer: -72*s + 36678*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68600696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -620717 less than or equal to -620715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*s**2 - 4*s**4 - 228*s**2 - 51*s**3 + 299*s**2)*(-2 + 5 - 4).\nAnswer: 4*s**4 + 51*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 5305.23.\nAnswer: 5305.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1996*s**2. Let w(z) = -105*z + 11 - 11 + 102*z. Calculate w(u(a)).\nAnswer: 5988*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-12) - 3201\/(-9). Suppose 2*g - 5 - 1 = 0, s = z + g. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 7*n**2 + 4*n + 15. Calculate a(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4211, 8114, 11915, 15566, 19019?\nAnswer: 22226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591236382 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 5:03 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 191 + -303. Let m = -125 - b. Let z be 8*1 - (m + 8). Solve -2*x - i + 2 + 5 = 0, z = -2*x + 3*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (97\/(26190\/108))\/((-8)\/(-140)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*v - 1384 = 272 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130388.653108244 + 0.5.\nAnswer: -130388.153108244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 3. Let f be m(0). Suppose f*u + 10 = 8*u. Suppose -2\/3*c + 0 + 2\/3*c**u = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*n + 1036 = 24*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18618, -74511, -167674, -298107, -465810?\n\"Answer: -18635*p**2 + 12*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -6. Suppose 5*y = u + 1 - 0, -3*u = -v*y - 30. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 1. Suppose 4 = i*d - 3*d. Let w(a) = -a**2 + 21*a - 76. Let x be w(5). Sort x, d, -21 in decreasing order.\nAnswer: x, d, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 41 - 49. Let n be ((-1894)\/(-4))\/(-2 + -1 - (-33)\/4). Let j = n - x. Find the common denominator of -67\/6 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 13*v**2 - 13*v - 19. Let u = 56 + -42. Let o be b(u). Let c = 12 + -7. Put -3, c, o in descending order.\nAnswer: c, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -436*o - 7813. What is a(-18)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -38 + (1 - -1 - -1) + 62\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.03 + 0.67. Let z = 0.6912 - a. Round z to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274563244 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 272\/48 + -1 + -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2312787 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(10)\/(-2*sqrt(500) + sqrt(5)).\nAnswer: 6*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 1. Let g(b) = -2*b**3 - 42*b**2 - 276*b - 218. Let l(h) = 2*g(h) - 36*u(h). Factor l(i).\nAnswer: -4*(i + 1)*(i + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -5*z**9\/1512 - z**6\/180 - 6*z**3 - 16. Let r(m) be the third derivative of n(m). Find the third derivative of r(p) wrt p.\nAnswer: -600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -548 or -2011474?\nAnswer: -548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/1304 + 59\/9780. Let q(y) be the second derivative of 0*y**3 - t*y**4 + 0*y**2 + 1\/300*y**6 + 0*y**5 + 4*y + 0. Factor q(z).\nAnswer: z**2*(z - 1)*(z + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {h: 1, d: 1, o: 1, j: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (-2*sqrt(198) - sqrt(198))\/sqrt(9) + sqrt(22))\/(((sqrt(11) + sqrt(33)\/sqrt(3) - sqrt(11)) + sqrt(11) - sqrt(11))*-1).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-1)\/2*(-16)\/(-36)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-34)*1\/3. Let t = -0.02 + 3.02. Let m = t - 3. What is the nearest to -0.1 in -0.1, d, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4002 - -15921\/4. Let y = n - -22. Let m = 6.4 + -6. Which is the smallest value? (a) m (b) y (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2529.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*p - 44. Suppose -p*u - 88 = -2*m - 2*m, m + u = 16. Calculate the highest common factor of 200 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 974*d**5 - 94*d**2 + 269302*d?\nAnswer: 19480*d**3 - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13 - 19 + 31 - 151*b**2 with respect to b.\nAnswer: -302*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 + (5 - 4)) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 10*b + 70. Let t be r(-7). Suppose t = 6*k - 478 + 178. What is the greatest common divisor of 100 and k?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a - 360. What is o(17)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -0.1, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 767 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-1)\/(3\/36*-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**10\/453600 + t**9\/181440 - 2*t**5\/15 - 2*t**2. Let c(b) be the third derivative of s(b). Factor c(q).\nAnswer: q**3*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(4\/5)*c)\/c**9)**19 assuming c is positive.\nAnswer: c**(-589\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + -1 + -32 + 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/8 - 886085*z\/8 + 886083\/4 = 0 for z.\nAnswer: 2, 886083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 + 124. Suppose -t*y - 6 = -6*y + 5*w, 4*w = 4*y - 16. Let i be -8 - -11 - y*-3. Solve 5*d - i = -4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 5. Suppose h*z - 2 = -2*u + 2*z, 0 = 3*u - 2*z - 7. Let c(p) = -p. Let d be c(-5). Solve 21 = f + u*l, 2*f = d*l - 12 - 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1517 divided by 43864?\nAnswer: -1517\/43864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**3 + 2967*g**2 - 732105*g - 735075 = 0.\nAnswer: -1, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n + 484 = -68*n - 81*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5379 - 35*y**3 - 5379)*(4*y**2 + 0*y**2 - 3*y**2) + (-3 + 0 + 4)*(-y**5 - 2*y**5 + 5*y**5) - 3*y**5 + y**5 + 3*y**5.\nAnswer: -32*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -35 + 37 - 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. Suppose 3 = -4*f + a*q, -q - q = -f - 7. Determine i so that 0 + 1\/3*i**2 + f*i**4 + 2*i**3 + 0*i = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -88 and 0.07.\nAnswer: -6.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**6\/120 + p**5\/10 + p**4\/8 + 4*p**3\/3 - p**2. Is 9 a factor of n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 20*k**3 + 3*k**2 + 2*k - 9. Let z be p(2). What is the derivative of -z + 119*o - 136*o + 189*o wrt o?\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -14*q + 136. Let p be a(10). Let y(k) = 2*k + 2. Determine y(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41334*u - 20671*u - 20663*u - 47*u**3 + 89*u**3.\nAnswer: 42*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000213818 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2191?\nAnswer: 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 1\/4*l**2 + 0 - 1\/16*l**3 + 4*l - 1\/96*l**4. Find y, given that k(y) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j + 1. Let u be o(1). Let w(m) = -3*m**3 + m. Let s be w(1). Which is the second smallest value? (a) -1 (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*k**3 + 38*k - 1 - 38*k - 2*k**3 as i*k + m + f*k**3 + y*k**2 and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15271873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 6. Let c be p(6). Solve 0 = -c*z - 3*z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-10 + 126\/18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/50)\/((6\/(-60))\/(6\/(-4)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 + -6 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -17, 16, -2\/56249?\nAnswer: -2\/56249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/5 + 1\/5. Let p = o + 6. Let u be 10 + 285\/(-75) - 2\/10. Solve z = -p*z + u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 24. What is the second smallest value in -3, 0.28, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (165 - 11 + 94)*(-1 + 6 - 2)*(y - 3*y + 3*y - 1) in the form f*y + a and give f.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/24*(0\/(-1) + -18). Calculate the greatest common divisor of 21 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304 a factor of 98451038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**7*o*o**(1\/6))\/(o**(-4)\/((o\/(o\/o**(2\/7)*o))\/o)))\/(((o**7*o)\/o**(4\/3))\/(o\/(o\/(o*o*o\/o**1))*o)**(2\/25)) assuming o is positive.\nAnswer: o**(1409\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146 - 314 - t + 166 + 9*t**2 + t.\nAnswer: 9*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 4*w - 2*w)*(3*w**2 - 3*w**2 + w - w**4 + (-w - w**3 + w)*(w - 3*w + 0*w)).\nAnswer: 3*w**5 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 7*a**2 + 33*a + 78. What is l(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 864*k + 2565.\nAnswer: 3*(k + 3)*(k + 285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 1239?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**3 + 6*i**2 + 6*i + 2. Let p = 180 + -169. Let j(s) = 6*s**3 + 11*s**2 + 11*s + 4. What is p*f(u) - 6*j(u)?\nAnswer: -3*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-156)\/(-90)*-5 - 28\/105*-5)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 64. Suppose -5*a - d = -87. Suppose 0 = 3*k - 0 - a. Solve -k*i = i + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*x + 95*x**3 - 27*x**3 + 43*x**3 + 145*x.\nAnswer: 111*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*p - 744 = -7*x, -3*p = -x + 190. Let m = 320 + -638. Let d = -310 - m. What is the greatest common divisor of x and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-6)*2\/(-4). Suppose 4*j + 66 = -r, 577*j - 575*j + 186 = -5*r. Which is the closest to u? (a) 0 (b) -2\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 7*k + 10. Let v be y(-8). Suppose -c = -v*c. Suppose -m + 3*a + 15 = c, 2*m + 2*m - 5*a = 32. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + (-2 - -3))*-1. What is the units digit of p\/((-356)\/(-120) + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(70))\/sqrt(10) - sqrt(7)) + (0 + sqrt(7))*-5.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 49*l**6\/6 + 2*l**3\/3 + 109*l**2\/2 - l - 856. What is the second derivative of y(s) wrt s?\nAnswer: 980*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0*c**3 + 0*c**5 + 2*c**2 + 0*c + 0 + 1\/60*c**6 + 5\/24*c**4. Find the second derivative of t(u) wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7004541.\nAnswer: 3, 107, 21821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -75 in ascending order.\nAnswer: -75, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1765 + 2069. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50939*d*f**2*y**2 + 3348*d*f*y**2 + 8*d - f*y**2 wrt f.\nAnswer: -101878*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/1123243?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1266*t + 1265*t = -3*m + 5, -4*m = -4*t - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**4\/12 - b**2. Let f(w) = 4*w - 1. Let q(r) = 30*r - 8. Let s(a) = 8*f(a) - q(a). Give s(t(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*q + 6140 + 3760. Suppose -q = -4*t + t. Is 35 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -61, -280, -647, -1162, -1825, -2636?\n\"Answer: -74*y**2 + 3*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c + 601. Let f(l) = -18*l**2 + 70*l + 2. Calculate f(t(s)).\nAnswer: -162*s**2 + 64698*s - 6459546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 12 = v, g = 24 - 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -49*n**2 - 31*n - 8. Let f be q(4). Let a = -231 - f. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from lkaknaaaa.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00186037533 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 11286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2441879*y**2 + 2441837*y**2 - y - 1 + y + 1.\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -20*c**2 - 21 + 10 - 1 - 25*c - c**3. Is 23 a factor of v(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t. Let b(w) = w**3 + 5*w**2 - w - 3. Suppose 4*c + 11 + 9 = 0. Let z be b(c). Let k(u) = 3*u**z + u**2 - 2*u**2. What is d(k(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*v + 183*v - 2*s = 425*v - 49, -5*s - 65 = 5*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -17*x - 4. Let s be f(-4). Let k = s + -64. Suppose 0 = q + 2*q - 5*m + 32, -5*m + 20 = k. Let r(u) = u**3 + 5*u**2 + 4*u + 3. Give r(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (26 + -3 + 0)\/1. What is the units digit of (4 - 1 - 1) + z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 138 = -3*h, -251*c = -4*h - 246*c + 215. What is the remainder when 6247 is divided by h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4185857 + 0?\nAnswer: -4185857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(2\/9)*d*d)**(-2\/25)*d**(-7)\/d*d\/(d**(-1\/8)\/d))**42 assuming d is positive.\nAnswer: d**(-78281\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8153 in 1.1, -5, -11, -0.2, -0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1705799 nanoseconds to seconds.\nAnswer: 0.0000000001705799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 114, 149, 206, 291, 410?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19194088453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74829\/47 + 1592. Find the common denominator of c and 30\/11.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 11) + -26 - (-9 + -3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4*j - 136. Let b(f) = -34*f - 105. List the prime factors of b(j).\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2278047, 4556095, 6834143, 9112191, 11390239, 13668287?\n\"Answer: 2278048*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 3. Suppose 2*c + 4*q = -10, 0 = -2*q - 2*q - 12. Let l(y) = 1. Let h(o) = c*m(o) - l(o). Let f(v) = -6*v - 10. What is 2*f(r) + 11*h(r)?\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.5907 to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 93*i**2 + 2186*i - 2185. Calculate k(1).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 19*n**2 + 17*n + 18. Let z be o(18). Factor 2\/5*h**3 + 2\/5*h**2 - 2\/5*h**4 + 0*h - 2\/5*h**5 + z.\nAnswer: -2*h**2*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2751 + -1. What is b rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from qtgqtoohoty.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 5*f - 9*f - 18*f to the form r + h*f and give h.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25462\/315 + 404\/5. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g + 16. Let w = -2865 - -2876. Calculate u(w).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4056 - 1439878\/355. Let z be 4\/(-14) + 36\/28. Is z > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g - 770 = -23*g. Let w be g\/(-25) - 9\/(-15). Solve -w = -0*z + 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**2 - 6*o**2 + 6 + 2 + 10*o + 3*o. Let g be x(-12). Let f = -3 - -4. Sort -1, f, g in descending order.\nAnswer: f, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + ((-45)\/(-5))\/3. Let v = 0.7 - -2.3. Let d = 3.3 - v. Which is the second biggest value? (a) y (b) 2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.47054426 to one decimal place.\nAnswer: -12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*2 + -5*sqrt(12)\/sqrt(4).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -657*f**4 - 11974 wrt f.\nAnswer: -2628*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*y - 1. Suppose y*l + 5*a = 35, a - 4*a = -4*l + 109. What is the units digit of (-10)\/l - 47\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.042 - -4.342. Let s = 4 - a. What is the smallest value in 0, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -214331 + -203111?\nAnswer: -422442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 3*t**2 + 7*t - 6. Let l be s(4). Suppose -l*v + 4 = -2*v. Let g be (-2)\/(-4)*0\/v. Is 1 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -5, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4277671?\nAnswer: 4277671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7668864 times 2?\nAnswer: 15337728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.571176 nanograms?\nAnswer: 0.000000004571176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 146*i + 9*i**3 + 146*i + 20*i**2 + 2*i**4 in the form r*i**3 + p + g*i**4 + b*i**2 + s*i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52084020 to the nearest integer?\nAnswer: 7217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 4119 = -522. List the prime factors of y.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08041723 rounded to 4 decimal places?\nAnswer: -0.0804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - v - 25, -5*l + 32*v + 20 = 30*v. Let y(a) be the second derivative of a**3\/6 + a**2\/2 + a. Determine y(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/4)\/(-4)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9861 - 9860.6. Which is the third biggest value? (a) -1\/5 (b) f (c) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3062.753kg?\nAnswer: 3.062753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -7 - 3, 5*m - 18 = -y. Let q = 2 + -2. Suppose -4*f - o = -16, q*f + f - 4 = -o. Solve -d - 22 = d + m*u, -24 = 4*d + f*u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)\/(sqrt(72) - (sqrt(72) - (1*sqrt(72) + sqrt(72)))))\/((sqrt(8) - (sqrt(8) + (sqrt(1152) - -1*sqrt(1152)))) + 2*sqrt(16)\/sqrt(2)).\nAnswer: -sqrt(7)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 12*q + 22. Let k be f(-9). Let x(o) = -o - 12. Determine x(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 4*p**2 - 6683*p - 20041. What is v(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, -46, -145, -286, -469?\n\"Answer: -21*p**2 + 6*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 - 65. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + (-17 - (-18 - -14)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -136, -198, -260, -322, -384?\n\"Answer: -62*i - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1076 + 1659. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + -48 - (11 + -1 - 135 - 2) - 16?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 56846 = 2*b - 56842, -2 = 3*b - 2*i + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x = 22*x + 5*i - 95, x - 2*x + 36*i - 686 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 12 - 0. Find the first derivative of -7 + 12 - 9*l + h*l wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-15))\/(6\/((-702)\/13))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -11*k - 20, 2*k + 90 = -2*y. Let b = y - -295\/7. Calculate the common denominator of 89\/6 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 4*o**2 - 5*o**2 + 5*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 4) to base 11.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/13 (b) -5 (c) 388 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12385*23.3.\nAnswer: -2.885705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39965110 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 349533 divided by -666\nAnswer: -38837\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*i - 51, -i - 1973*h - 23 = -1971*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44060.4 times -0.1?\nAnswer: -4406.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 15*u**2 + 24*u - 24. Let f be s(-13). Suppose 4*a + 3*p - 4875 - 3433 = 0, -4*a - f*p + 8312 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -297 - -359. Which is smaller: 243\/4 or o?\nAnswer: 243\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvqavvvavqvvalvavb. What is prob of sequence lqb?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/(-418) + (-129)\/(-264).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735278?\nAnswer: 2, 3, 289213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1016 (base 8) to base 7\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 2*v + 4740 + 65*v**3 + 3*v**4 - 4739 + 0*v**2 - v**2 as z*v**4 + r*v**3 + y*v + a + c*v**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**2*y**3 + p**2 + 133*p*y**2 - 10*y**3 wrt y?\nAnswer: 24*p**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 10:35 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + (12 + -247)\/(-5). What is the highest common divisor of x and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*14\/(-140))\/((-9)\/(12690\/4)*-3).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -31*j + 1. Let m(z) = -1185*z**2 + 190. Let o(p) = -25*p**2 + 4. Let h(n) = 4*m(n) - 190*o(n). Determine s(h(c)).\nAnswer: -310*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.2 (b) 0.1 (c) 0.0207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3864 = 8*j. List the prime factors of j.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 3, 15?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66.3 + 63. Let k = 0.3 + s. Which is the second biggest value? (a) 5 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 333 and 9.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2241*16987\nAnswer: -38067867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -171a?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101950*z**5 - z**4 - 195999*z wrt z.\nAnswer: -2039000*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/j**(-1\/23)))\/j*j\/j**(-7))\/(j*j**(-1\/7)\/j*j*j**9*j) assuming j is positive.\nAnswer: j**(-467\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/28 - 209\/(-231)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 3 - 7 - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.023859 and 12767666?\nAnswer: 12767666.023859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34766235 divided by -7?\nAnswer: 4966605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61411 - 61411 - 1930*v to the form j + h*v and give h.\nAnswer: -1930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-2)*j)))\/(j\/(j*j**(4\/13))) assuming j is positive.\nAnswer: j**(-9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0177538623 to 6 decimal places.\nAnswer: 0.017754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 683 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -c + 13 + 27, 5*c = 3*q - 53. Suppose 0 = q*r - 13*r - 8. Let h be (2\/r)\/((-4)\/(-20)). What is the closest to 1\/4 in h, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70376221 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 13 (b) 2\/9 (c) -2\/17 (d) 5042 (e) -0.4 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 0*s + 1\/280*s**7 + 3\/160*s**6 + 1\/80*s**5 + 0 - 3\/32*s**4 - 1\/4*s**3 - s**2. Factor r(b).\nAnswer: 3*(b - 1)*(b + 1)**2*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1488 and 57316303.\nAnswer: 2751182544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/17)\/(n*n**(-6))*n**(-6)*n*n\/(n*n**(1\/17)))**45 assuming n is positive.\nAnswer: n**(-135\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -855\/8 - -107. What is the smallest value in j, 1\/4, 2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/6)\/((-6)\/9). Suppose -v = 2*s + c*v - 26, 13 = s + 2*v. Suppose -3*m = 2 + s, -4*o = -4*m - 80. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 47*o + 308. Let b be g(-39). Put 32, -3, b in descending order.\nAnswer: 32, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v - 3*v = 41*v + 56 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q - 19*q = 95672. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194532111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 212186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iigaggaigiaggiiaig?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224 by -1.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104968.23 - 1794.77. Let r = d - -106760.99993. Let z = r - -2. 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: What is the cube root of 274405 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8788344 grams in milligrams?\nAnswer: 878.8344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 991, 1913, 2835, 3757?\n\"Answer: 922*r + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (-24)\/1) + -3. Let s be (-6)\/8 + 18\/g. Solve 3*t + s = -9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86953801, 5, 2, -2 in descending order.\nAnswer: 5, 2, -2, -86953801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 27*v**2 - 94*v + 51. Let x be a(23). Put -7, 6, x in ascending order.\nAnswer: -7, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*q - 2*q. Let c(n) = 6*n**3 - 10*n - 3. Is c(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506, 478, 450?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 133894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 8:03 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/2)\/(2\/(-3) + 2). Put 3\/13, h, 1\/4 in ascending order.\nAnswer: h, 3\/13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95.6 + -12.6. Sort w, 5, 2\/3 in ascending order.\nAnswer: 2\/3, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m - 108. Suppose 3*i - 4*c = -2*i + m, -3*c = 12. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 3. Let n be d(0). Suppose -11*b = -15*b + 16. Suppose 7 = 5*s - b*r + 16, -7 = 2*s - 5*r. Put 1, n, s in decreasing order.\nAnswer: n, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**5\/60 - 11*j**3\/6 - 12*j. Let w(m) be the second derivative of b(m). Let q(y) = -6*y. What is w(q(v))?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 0)\/(6 - 4). Let k be 6*1 - (a + 4). Find the third derivative of f**3 - 4*f**k + 5*f**2 + 5*f**4 + 3*f**3 wrt f.\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1778 is divided by 104?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -262*l + 260*l + 39 + l**2 - 10 to g + b*l**2 + r*l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmcd when four letters picked without replacement from qmdcrlr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, -118, -266, -474?\n\"Answer: -30*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - 1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 4*w + 16, w + 5 = -2*z + 1. Suppose 4*q = -z*q + 16. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3*r + 64*d**3 - 1355*d**2*r - 3*d wrt r.\nAnswer: 2*d**3 - 1355*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 1c3b?\nAnswer: -1c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -18*a + 34. Suppose 2*t - 14 = -4*g, -4*g + 185 - 174 = t. Give s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -765, -1, -33, -2 in increasing order.\nAnswer: -765, -33, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1480920, 1480911, 1480896, 1480875, 1480848, 1480815?\n\"Answer: -3*n**2 + 1480923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - r = -31, -2*r = 2*k + 22997 - 23015 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16702 + -3?\nAnswer: 16677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18131120?\nAnswer: 2, 5, 7, 32377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*l**3 - 5042 + 5042 + (-2 + 1 + 2)*(-2*l**3 - l**3 + 4*l**3).\nAnswer: -93*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 376613717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/(sqrt(12) + (sqrt(12) - -5*sqrt(48))))**2*-4.\nAnswer: -25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 4. Let t(u) = -2*u - 7. Let f(b) = -11*g(b) + 6*t(b). Suppose -12*x = -21 - 63. What is f(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from {l: 1, d: 2, q: 4, s: 8, j: 2, g: 3}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z. Let u(p) be the third derivative of p**4\/12 - 2*p**3\/3 - 3*p**2. Let x(s) = 1. Let q(a) = u(a) + 4*x(a). What is f(q(n))?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/(1\/(-2)). Let b be (1\/i)\/(7\/21). Let u(a) = -4 - b - 8*a**2 - 2 + 2 - a**3. Give u(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-304))\/(14\/266)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-21)*15*112\/1344.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -6, -2\/3, 203?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r = -20*r - y, 4*r = 3*y - 2. Which is bigger: -10\/87 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 + -128. Let i(y) = y**2 - y + 74. Let r be i(0). Let u = r + b. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-12))\/((-118)\/531)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohjo when four letters picked without replacement from {h: 5, o: 3, j: 5}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513*x**3 + 246*x + 2403*x**3 - 1884*x**3 - 246*x.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 1912, 6342, 14930, 29056, 50100?\nAnswer: 79442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 7*t**4\/12 - 5*t**3\/6 - 9*t**2 + 17*t. What is the first derivative of n(j) wrt j?\nAnswer: 14*j - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 87 = 49 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 40*k - 90. Calculate w(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 7 - 12 - 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 - (-6 + 11)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-432) + (34\/(-9))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*c - 6*c**2 + 20*c)*((-6*c**2 - 7*c**2 + 2*c**2)*(0 + 0 - c) + 2*c**3 + 0*c**3 + 0*c**3).\nAnswer: -78*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-5)*g)**(-1\/11) assuming g is positive.\nAnswer: g**(-7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10008 and 96?\nAnswer: 40032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*a**2*p**2 - 5089690*a**2 - 4*a*p**2 + 2*a*p + 5*a + 7*p**2 + 14*p - 82 wrt a.\nAnswer: -20*p**2 - 10179380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18166.509 hours to days.\nAnswer: 756.937875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-378642)\/(-42) - -4) + 4\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6815?\nAnswer: 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11058926, -11058929, -11058934, -11058941?\nAnswer: -11058950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/7 - 225282612*n\/7 - 12688063817385636\/7 = 0 for n.\nAnswer: -112641306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9326745, -18653525, -27980337, -37307181, -46634057?\nAnswer: -55960965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z = -5*c - 3111, z - c = 1039. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7040191 divided by 8.\nAnswer: 7040191\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22775 is divided by 219?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a - -557?\nAnswer: 4ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 - -129.03. What is the third biggest value in -2, 5, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 10*n + 9*n. Let c(k) be the first derivative of 4*k**3\/3 - 1. Determine d(c(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*q = -4*q - 6, -3*q - 57 = -3*j. Let b(x) = -x**3 + 7*x**2 + 17*x + 12. Calculate the least common multiple of j and b(9).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 7*s - 6. Let k(x) = x**2 + 4*x - 8. Let r be k(-6). Let a be b(r). Solve a = -v + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/84 and 51\/70084.\nAnswer: 210252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55364 is divided by 6920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*(g\/((g\/g**3)\/g))\/g)**(-12)\/((g*g**5*g)\/(g\/((g**(-3)\/g)\/g)))**(3\/10) assuming g is positive.\nAnswer: g**(-123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:37 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 948?\nAnswer: 2844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**3*y**2 - 1599*q*y**3 + 1395*y**3 - 1 wrt q.\nAnswer: -6*q**2*y**2 - 1599*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**3\/3 + 4*n**2 - 26*n. Let o(h) = 1. Calculate c(d) - 6*o(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 224\/12 + (-1)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24147 - -49574. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 20960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 4*n - 16 = 0, 0 = g + 14*n - 9*n - 20. Solve 4*h - 3*b + 13 = g, 2*h + 5*b + 3 = 10*b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16590 = -2*x + 4*n, 14 = 2*n + 24. List the prime factors of x.\nAnswer: 5, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1099 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, 5554, 15208, 28724, 46102?\nAnswer: 67342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 1:46 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 6:06 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -3*v**2 + 0 - 1\/120*v**6 - 1\/20*v**5 - 1\/8*v**4 + 0*v + 0*v**3. Give s(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 110606*w**4\/7 - 110616*w**3\/7 - 110596*w**2\/7 + 110616*w\/7 - 10\/7 = 0.\nAnswer: -1, 5\/55303, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcmk when four letters picked without replacement from {g: 2, m: 3, c: 2, e: 2, k: 4}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.7 - -31. What is the closest to 0 in q, 2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(-1*(sqrt(2448)*-4 + sqrt(2448)) + sqrt(2448) + 0 + sqrt(2448)*-4 + sqrt(2448) + -2))**2*-5.\nAnswer: -2880*sqrt(17) + 147120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (6 - 1 - (4 + -1)) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**6\/120 + 7*w**5\/60 - w**4\/6 - 4*w**3\/3 + 3*w**2. What is the units digit of u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 v when three letters picked without replacement from cotcocottvc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -65 - -3?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 11 = -3*a, 20 = -0*a + 4*a. Solve 5*r = -5*q - 10, f*r = 3*q - 0*r + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -843.\nAnswer: -252.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13291 to three dps.\nAnswer: -0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**4 - f**4 + 3*f**4 + ((f - 11*f + 0*f)*(-4 + 3 + 0) - f - f + f)*(7*f**3 - f**3 + 0*f**3) to m + n*f**4 + j*f + y*f**2 + q*f**3 and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqwoogign. What is prob of picking 1 i and 1 g?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Let l(p) = -5*p**3 - 5*p. Let u(x) be the first derivative of -x**4\/4 - x**2\/2 + 155. Determine h*l(r) - 22*u(r).\nAnswer: 2*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 2*r**2 + 0*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**3 - 5. Let l(g) be the second derivative of 31*g**3\/3 - 140*g. Calculate c(l(o)).\nAnswer: -11532*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.6 + 10. Let f = a + 1.6. Let v be (-16)\/(-6)*(-1)\/2. Sort v, -2\/9, f in decreasing order.\nAnswer: -2\/9, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -1. Suppose 1159*b - 1154*b - r + 10 = 0, -4*r + 22 = -2*b. Let g be 9\/((-45)\/h)*(-2)\/b. What is the biggest value in -0.1, -0.2, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {s: 2, m: 5, y: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44463228 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 2*c**2 - 2*c + 1. Let a be y(3). Let q(z) = -z**2 + 4*z. Let b be q(a). Let d be 2\/7 - 24\/(-14). Solve b = d*m - 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*u - 17*u + 61*u - 19*u - 23*u**2 as k*u**2 + j*u + v and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/45916 and 149\/6552?\nAnswer: 5785416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1211988 divided by 17\nAnswer: 1211988\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*w = 0, 3*f + 29 - 25 = 5*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31651 divided by 18?\nAnswer: -31651\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9060000 rounded to the nearest one hundred thousand?\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4007 <= 3365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*c**3 - 2709*c**2 + 756*c + 324 = 0.\nAnswer: -3\/13, 6\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2393 - 3871. Let i be (32\/(-594))\/((-7 - 4)\/301785). Let r = j + i. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 16. Let g(a) = -a**3 + 3*a**2 + 10*a - 14. Let h be (-6)\/(-4 - -2) + 2. Let v be g(h). Let t be s(v). Put -4, 5, -1, t in descending order.\nAnswer: 5, -1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155*j**2 - 8*j - 156*j**2 + 15*j + 44*j**2 - 5*j to f*j**2 + x*j + t and give f.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14907 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-3)\/(-6)*3. Suppose k*f - 5 = 1. Suppose -6*i + f*i - 4*o = 0, -o + 16 = 5*i. Solve l - 9 = -2*a, -a - i*l + 15 = -0*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + j. Let z(r) = 3*r**2 + 2*r. Let d(l) = -2*a(l) - z(l). Let u be d(-4). Let n = -8 - -4. Sort n, u, -5.\nAnswer: -5, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1.7. Let i = 1.3 - t. Let g = 0 - i. Put -0.2, g, -2 in increasing order.\nAnswer: -2, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52950 divided by 10590.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -276*g + 8836. Let i be x(32). Solve f + f - i*n + 14 = 0, -3*f + 3*n = 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 284 - 284 + 11*n to the form w + y*n and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5 - 215*x**4 + 1680*x**3 + 14400*x**2.\nAnswer: 5*x**2*(x - 24)**2*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(5) - sqrt(5))*2 + -1)**2 + ((sqrt(5) + -1)**2 - sqrt(5))*-5*-4.\nAnswer: -76*sqrt(5) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 26*m**2 - 24*m + 37. Let k be 5\/(-15) + 444\/(-18). Let b be t(k). Calculate the greatest common factor of 63 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/15*(36\/15)\/(-4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v + 25*v + 40 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61707\/7 - -8815. Is 38.73 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**11*z)\/z*z)\/z**(-18) assuming z is positive.\nAnswer: z**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11873 and 2201?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -8. Let x = 3 - r. Let j = -0.56 + -2.44. What is the closest to -0.1 in j, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**3 - 7*r**3 - 10*r**3 - 7*r**3.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8718.628m to nanometers.\nAnswer: 8718628000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/7 + 74*j**3\/7 + 1487*j**2\/7 + 780*j = 0 for j.\nAnswer: -12, -5, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, 2\/7, -2043?\nAnswer: -2043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001649205712 rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - l = -a - 7, -a - 5*l - 19 = 0. Let z = -4 - a. Let r(y) = 6*y + 129. Let q be r(-14). Calculate the highest common divisor of z and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0372 - -0.5328. Round d to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1368, 2708, 4050, 5394, 6740, 8088, 9438?\nAnswer: 10790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 12:01 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3888575289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/660)\/((-78)\/585)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 928 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97887?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}