diff --git "a/data/dm_maths/full_data/10037_11255.jsonl" "b/data/dm_maths/full_data/10037_11255.jsonl" deleted file mode 100644--- "a/data/dm_maths/full_data/10037_11255.jsonl" +++ /dev/null @@ -1,10000 +0,0 @@ -{"text":"Question: What is the third derivative of -182*q**5 - 21*q**4 + q + 1075*q**3 - 180*q**2 + 21*q**4 - 538*q**3 - 540*q**3 + 1 wrt q?\nAnswer: -10920*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is -d2171a3 - -1?\nAnswer: -d2171a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 193 - 190. Suppose -f = 4*f - 5*k, 5*f - 6 = 3*k. Solve -a = 4*r - f, -6*r - a + c = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 13084 less than 1897388\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let l be ((-28)\/(-35))\/(2\/5). Suppose -l*k = 5*k + 21. Let v be k\/2*-4 + 8 + -11. Calculate the greatest common divisor of 9 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((q\/q**(2\/19))\/(q**(-16)\/q))**(10\/13))**43 assuming q is positive.\nAnswer: q**(146200\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(204)*1*-1 - sqrt(204)) + 4*-1*sqrt(204))\/((-2*sqrt(1452) + sqrt(1452))*1).\nAnswer: 6*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Sum 0.17352 and 55664.8.\nAnswer: 55664.97352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Convert -1 (base 14) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let q(n) = -n**2 - 9*n + 8. Let m be q(-7). Let o = -7 + m. Let s be 26\/24 + (-5)\/o. Which is the closest to 1? (a) -5 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0*r - 52 = -4*r - 4*c, 1047*c = 4*r + 1052*c - 47 - 10 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-1*8\/44)\/((-216)\/99).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let n(q) = 6 - 13*q + 55*q + q**2 - 1 - 34*q + q**2. Calculate n(4).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((u**0)**(19\/3))**(-8\/17) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from qcqcktcqtkq. Give prob of picking 1 k, 1 q, and 1 t.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 3825.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let s(t) = 56*t - 18. Let x(k) = 149*k - 331. Calculate s(x(w)).\nAnswer: 8344*w - 18554","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: -3.1661*1.449\nAnswer: -4.5876789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -408 = -4*u - 2*u. Let r = u + -64. Solve 3*p + 18 = 3*q, -16 = p - 3*q - r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (746*h**3 - 945*h**3 + 1436*h**3 - 2*h**4)*(-4*h + 4*h - 2*h).\nAnswer: 4*h**5 - 2474*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {d: 1, p: 2, r: 1, t: 9}. Give prob of sequence dtp.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is -10212 + -100120021002?\nAnswer: -100120101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0? (a) -0.11 (b) -2 (c) 7\/3 (d) -1 (e) -0.47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-74)\/(-14) - 38\/133. Let q = -27 - -81. Suppose o*c - 90 = -5*z, -3*c + z = -0*c - q. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-12 - (-10 - 17)) + 56 + -62.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 37 is divided by (60\/(-9))\/(1\/(-3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (250\/25)\/((87\/2610)\/(2\/(-12)))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l(o) = o**2 - 5*o + 2. Let g = -5 + 10. Let s be l(g). Suppose s*d + 4 = 14. Solve 0 = d*x + 11 + 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -421 - -261. Is -162 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 463 minutes after 12:58 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 5*(2\/(-1))\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let v(n) = 3*n**2 - 268*n + 2601. Let i be v(11). Solve 0 = 5*m + 20, -14*w - 2*m = -i*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(n) = 38*n - 4. Let j be x(-4). Let d = j + 232. Suppose -53 = -3*u + 4*y, -3*u - d = -7*u + 4*y. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -44829*d - 3*d**2 + 89705*d - 44820*d + 3303 wrt d?\nAnswer: -6*d + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -289.8969 rounded to the nearest integer?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let j(r) be the third derivative of -r**8\/1512 + r**6\/54 + 2*r**5\/27 + 5*r**4\/36 + 4*r**3\/27 + 25*r**2. Factor j(o).\nAnswer: -2*(o - 4)*(o + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -4146 (c) 1\/9 (d) -1 (e) 2\/7 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*c + h + 1 = 0, -6 = 3*c - 645*h + 641*h. Let r(k) be the first derivative of -22 + 0*k + 2\/7*k**c - 1\/7*k**4 + 0*k**3. Factor r(y).\nAnswer: -4*y*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 86 - 85. Which is the nearest to f? (a) 4 (b) 0.2 (c) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d**3 - 39466*d**2 + 4839065*d + 4878532 = 0. What is d?\nAnswer: -1, 124, 39343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:53 AM and 1:37 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 41 divided by -102.\nAnswer: -41\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 574385267.\nAnswer: 31, 18528557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -84 + 146. Let p = -148.9 - -87.2. Let s = p + t. What is the second biggest value in -3, s, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (o*o**10*o*o)\/o*o*o**(5\/2)*o assuming o is positive.\nAnswer: o**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is (-3)\/(-2)*(-48500)\/2910?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -13*l = -16*l. Solve l*q - 3 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 5, -39, -1, 0, 31, 2, 36 in decreasing order.\nAnswer: 36, 31, 5, 2, 0, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the nth term of -3308, -3294, -3280, -3266, -3252?\n\"Answer: 14*n - 3322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 5*q - 5*q + q**4 + (15 - 5*q**3 - 15)*(-2*q + 4*q - 4*q) to p*q**3 + o*q**4 + s*q + w*q**2 + v and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Solve -1113*h = -1117*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Divide -558 by -31.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is -1 less than or equal to -4\/8843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let u(h) = -h**3 + 12*h**2 - 10*h - 2. Let z be u(11). Let s(r) = r**3 + 11*r**2 + 2*r - 9. Let v be s(-9). Calculate the highest common divisor of v and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -7 + (12 - (11 + -3)) + -9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -71\/44 and -13\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Solve 356*l = 4*s - 1424, -4768 = s + 5*l - 4748 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let b(i) = -2*i. Let g(f) = -8*f - 3. Let k(u) = -17*u - 7. Suppose 5*x + 7*s = 2*s - 15, 0 = 5*s. Let q(t) = x*k(t) + 7*g(t). Determine q(b(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let z be -2 - (-166 + -1 + 10\/2). Suppose 64 = -6*u + z. Calculate the remainder when (-1 - 2\/4)*-30 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -35678*i**6 - 122*i**5*j + i**2*j + 133*i**2 + 91*i*j + 2*i - j + 3 wrt i?\nAnswer: -4281360*i**3 - 7320*i**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let c(s) = -2*s + 9 - 3*s**3 + 0*s**2 + 15*s**2 + 5*s + s. Let i be c(-11). Suppose 4*g - i = 3*f, 2*g + 1959 = f + 4844. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:39 AM and 5:50 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 607 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 9*k = 4*k + 204290. Suppose 2*p - k = -0*p. Let h = 40429 - p. Round h to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 466502*a**2 + 453*a - 2499.\nAnswer: 933004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the pth term of -711, -2737, -6115, -10845, -16927, -24361?\n\"Answer: -676*p**2 + 2*p - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -j = -4*f, -2*f = -0*j - 4*j + 14. Calculate the remainder when 36\/15 - 3\/(-5) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 173737613 take away -4?\nAnswer: 173737617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 8422440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -392 or -413?\nAnswer: -392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -17*h + 9*h + 14 + 738. What is the remainder when 1125 is divided by h?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*h - b - 7448, h - 5*b - 1484 = -2*b. Calculate the greatest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.45166 rounded to 3 dps?\nAnswer: -0.452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*h + 1 = 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let q(h) = -19*h**2 + 21*h + 3. Let m be q(5). Let l = -4040\/11 - m. Let v = -0.2 + 0. Which is the second smallest value? (a) v (b) l (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -31531, -125497, -282135, -501451, -783451, -1128141, -1535527?\nAnswer: -2005615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 230 is divided by (861\/(-44) - ((-36)\/(-66))\/3)*-4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of 37 and 89.8278.\nAnswer: 3323.6286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -44 + 43.99986. Round i to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ath term of -6963, -27698, -62209, -110496, -172559, -248398?\n\"Answer: -6888*a**2 - 71*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 10:31 AM and 4:02 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -15*t - 6*t + 9*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let d be (-57)\/(-4) - (-1)\/(-4). Suppose 4 = -5*c + d. Suppose c + 1 = u. Is 4 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 1, -4, -26, -796 in descending order.\nAnswer: 1, -4, -26, -796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 583 = 17*i - 6*i. What is the remainder when i is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 2.73 and -3.23?\nAnswer: -8.8179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: -2 + (-9 - -5 - -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 342347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is -2 + 64720?\nAnswer: 64717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (3\/2)\/(3\/(-8)). Let h(r) = r**2 + r + 1. Let m(q) = -8 + 4*q + 17*q**2 - 25*q**2 - 9*q - 6*q. Let t(i) = f*m(i) - 36*h(i). Factor t(v).\nAnswer: -4*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 51 = -q + 56. What is the lowest common multiple of 6 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 122012 (base 3) to base 2.\nAnswer: 111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 3193, 6404, 9633, 12880, 16145, 19428?\nAnswer: 22729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 37139*r**3 - 74280*r**3 - 3 + 37139*r**3 - 2 + 5.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -43643473*r**3*t**3 - 2*r**2*t**3 + r*t**3 + 48098*r - 9*t**3 + 22*t**2 - 3*t wrt r?\nAnswer: -261860838*r*t**3 - 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 3 + -3.3. Let h = 2\/269 + -556\/2421. Let i = -0.2 - -2.2. Which is the closest to i? (a) -3 (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (-50306412)\/(-351) + 1\/(-9). Find s such that 2*s**2 + 5*s**3 + 9169*s - 2*s**3 - 407*s**2 + 9056*s + v - 416698 = 0.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 24 and 76.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is -16227.17 rounded to the nearest ten?\nAnswer: -16230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from nnrnp. Give prob of sequence nnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -4 - 13 + 17 - 68*f**2 - 8*f - 5 wrt f.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -2\/5? (a) -5 (b) -0.5 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 14.229 + -14.129. Let i = 35\/172 + 2\/43. What is the nearest to v in 33, -2\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 97 minutes before 11:13 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 92216384 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 13730.\nAnswer: 2, 5, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyttttitiattt?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-8*k**3 + 9*k**3 + 96*k**4 + 272*k**4)*(2 - 3 - 2).\nAnswer: -1104*k**4 - 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2661691?\nAnswer: 19, 31, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -47\/29960 and 123\/7490.\nAnswer: 29960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 7 + 28 = 5*f. Let s be (0 - -1)*(14 + -13). Suppose f = 2*x + s. Is x > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(p) = 11*p + 3. Let t(z) = 1. What is -a(j) + 3*t(j)?\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1195226?\nAnswer: 2, 597613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is -f55 (base 16) in base 7?\nAnswer: -14305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:41 PM and 8:46 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 0\/(0 + 0 + -2). Solve m = 4*g + f + f - 10, -9 = -4*g - f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:10 PM and 12:03 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -21155 divided by 5.\nAnswer: -4231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let i(x) = -x. Let z(o) = -90*o - 328. Let m(q) = -30*q - 109. Let r(b) = 16*m(b) - 5*z(b). Let g(n) = 5*i(n) - r(n). Find the first derivative of g(l) wrt l.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(x) = -x. Let p be l(-8). Solve 0 = -p*s + 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 0 + 4*(sqrt(13) + 1) - (-2*sqrt(1053)*-6)**2.\nAnswer: -151628 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 120 and 764?\nAnswer: 22920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -2 - (6 + -3 + -8 + (-171 - -177)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 15\/8 + -81\/56. Let k = -105\/2 + 55. What is the closest to -0.2 in k, a, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1\/9? (a) 0.027 (b) -109 (c) 4\/7 (d) -167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 1.4676 rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 1006939757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -2956210 or -26605883\/9?\nAnswer: -26605883\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -1658 divided by 2387.\nAnswer: -1658\/2387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 4117211409 to the nearest integer?\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let s(i) = 26*i**2. Let c(g) = -144*g**2. Calculate s(c(o)).\nAnswer: 539136*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Convert 9065.601 decades to years.\nAnswer: 90656.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in 3, -0.1, 1, 0.45629, 4, -2?\nAnswer: 0.45629","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose u - 2 = 1. Find the second derivative of -14*v**3 - 10*v**3 + 2*v + 23*v**u wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(363) + 0 - 1*sqrt(3)*-1) + sqrt(15)\/(sqrt(15)\/sqrt(3)) + (sqrt(27)*5)**2 - (-5*(1 + sqrt(3))**2 + (sqrt(36)\/sqrt(48))**2 + 3).\nAnswer: 23*sqrt(3) + 2765\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let s be 0*(10\/(-4) - -3). Solve -c + 6*c - 20 = s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -1859 - -1995. Which is the smallest value? (a) 0.3 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -61348 take away -45?\nAnswer: -61303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let c(z) = -z**3 - 36*z**2 + 2*z + 76. Determine c(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 209 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 9 + -9.068. Let u = 0.232 - i. What is the nearest to 1\/4 in u, -1\/3, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(s) = s**3 - 4*s**2 + 2*s + 3. Let o be n(4). Let q be 3\/(-3)*o\/(-1). Let f = 22 - q. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(f) = 3*f + 21. Let k(l) = l**3 + l**2 - 2*l + 6. Let d be k(-3). Let u be m(d). Solve 5*n = 6*n + u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -2 + 14. Let h = 21 - o. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 16*i - 3*i = 26. Suppose -i*g + 23 = -5*d, -6*d - 21 = -2*g - 3*d. Solve -5 = -7*t + g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:34 PM and 2:50 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let p(l) = 11*l**2 + 4*l + 4. Let q(a) = 7*a**3 - a**2. Let k be q(-1). Let c be (-1)\/(0 + 2\/k). Let d(x) = -5*x**2 - 2*x - 2. What is c*p(v) + 9*d(v)?\nAnswer: -v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let s(c) = c**3 - 5*c**2 + 6*c - 4. Let a be s(4). Let r = -2 + -7. Let n(l) = l**3 + 10*l**2 + 7*l - 13. Let o be n(r). Solve a*z - o = -1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -15\/4? (a) -1\/5 (b) 7\/6 (c) 0.1 (d) 0 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let i(j) = 23*j. Let n(f) = -f**3 + 38*f**2 - 70*f - 62. Let s be n(36). Let c(t) = -5*t + 15*t - 10*t - s*t. Calculate c(i(g)).\nAnswer: -230*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let f be 1325\/(-39) - 4\/12. Let h = -4729\/117 - f. Calculate the common denominator of 10\/6*76\/(-15) and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*x = 5*m - 551, -x + 119 = -0*x + 5*m. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0 divided by -23\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -15? (a) -0.3 (b) 3\/5 (c) 0.031\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -47 + 47. Sort z, 3, -3 in decreasing order.\nAnswer: 3, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (-2)\/(-8) - 28\/(-16). Solve 0 = -t - 3*k + 4, 0*t - m = -2*t - 4*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -20 + 4 + -4 - 13 - -7.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify f*f**(6\/11)\/f*f*f**(18\/7)*f*f assuming f is positive.\nAnswer: f**(471\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Is 1449278141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 121\/2118 and 2745\/720*8\/(-10)?\nAnswer: 21180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -8 divided by -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is 7207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 40 is divided by (-1)\/(5\/(-15)) + 2 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 236 + -103. Let c = -130 + j. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -4\/7, 1\/8, -17, 10 in increasing order.\nAnswer: -17, -4\/7, 1\/8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is 378626384 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: Find the first derivative of -2*h**2 - 160 - 3*h**2 + 162 + 0*h**2 wrt h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: -5 times 15.1\nAnswer: -75.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Is 5310 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -f**5*n - 3*f**4*n + 300*f**3 + 2*f**2*n + 5*f**2 - f*n - 268*n wrt f.\nAnswer: -60*f**2*n - 72*f*n + 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Is 0.06 greater than or equal to -13\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 135359 is divided by 6626.\nAnswer: 2839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let o(h) = h**3 - 7*h**2 + 2*h - 7. Let t be o(6). Let n be 6\/27 + t\/18. What is the second smallest value in 1\/7, n, 2\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (9\/(-4) - ((-260)\/16)\/13)\/((-4)\/(-184)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2243011476?\nAnswer: 2, 3, 186917623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (t**(-5)*t\/t**(-2\/37)*t)\/(t\/((t*t\/t**(2\/5))\/t))**(10\/7) assuming t is positive.\nAnswer: t**(-911\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 2809.6 and 224?\nAnswer: 629350.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 288216.9999936 - 288216. Let q = r + -1. What is q rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -4? (a) 0.2 (b) -0.86 (c) -2\/1539 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:20 AM and 3:20 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let w(p) = p. Let z(c) = 6*c + 2. Let y(f) = 24*f + 9. Let o(m) = -2*y(m) + 9*z(m). Let l(a) = -o(a) + 10*w(a). Let s(d) = -d. Determine s(l(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -c**3 + 1 - 2*c - 1 - 4 + 6 + 27*c**2 - 25*c**2 to the form l*c**2 + k + t*c**3 + h*c and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 42\/239 or -1?\nAnswer: 42\/239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let h(i) = i**3 - 2*i**2 - 20*i + 49. What is h(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {b: 1, n: 1, j: 1, c: 2}. What is prob of picking 2 c and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let r(w) = w**3 - 2*w**2 - 4*w + 3. Let d be r(3). Suppose 4*l + 28 = 2*v - 0*l, d = -5*l - 25. Factor 2\/3*y**v + 0*y**3 + 0 - 2\/3*y**2 - 1\/3*y + 1\/3*y**5.\nAnswer: y*(y - 1)*(y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 137208 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 2 divided by -15868.\nAnswer: -1\/7934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence ns when two letters picked without replacement from snssssssssssssnn?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Express 13*u + 2*u + 8*u + 3*u in the form r*u + o and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 13 + -5. Let t(v) = -v**3 + 7*v**2 + 9*v + 4. Let b be t(j). Let f = 77100 - 77004. Calculate the highest common factor of f and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -2, -334, 3, -0.4, -25 in ascending order.\nAnswer: -334, -25, -2, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of (-43)\/(-4) + 6\/(-8) and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify h**(-3\/8)\/h*h**(-20)\/h assuming h is positive.\nAnswer: h**(-179\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (60\/(-6))\/((-568)\/(-71)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let a(v) = -8*v + 8. Give a(8).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 1 or -9260?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*o - 1 - 6 = 3*b, -b - o = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 19635 and 3318?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*p = -2*z + z - 83, 4*p - 2*z - 86 = 0. Let t = 18 + -10. Let c = t + p. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 20936 < 21191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 7072 + -7077. Which is the smallest value? (a) t (b) -0.4 (c) 1\/2 (d) -3\/2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 120047941.\nAnswer: 13, 9234457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Sort 5, -0.1, -0.11, -8403, 0.4 in increasing order.\nAnswer: -8403, -0.11, -0.1, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -13 - 5.4. Let i = 18 + f. What is the second biggest value in -1, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 1239 and 9617.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let t(w) be the third derivative of w**4\/24 - 5*w**3\/6 - 12*w**2. Let r(b) = -2*b + 6. Give -3*r(k) - 4*t(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is 676 minutes before 1:10 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 3334?\nAnswer: 2, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((j*j\/(j*(j*j**2)\/j*j))\/j)**(-2\/7) assuming j is positive.\nAnswer: j**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Is 987 a factor of 43336209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (11 - -37) + 26 + -39 + 4.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -133 - -57897335484\nAnswer: 57897335351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*y = 6*z + 42, -96665*z = -4*y - 96661*z + 52 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 113 (base 8) in base 4?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -7625 + 7617. Let k(h) = h**2 + 8*h - 12. Determine k(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine k, given that -3318108*k**2\/7 - 8058262*k + 34\/7 = 0.\nAnswer: -17, 1\/1659054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Product of -14 and 10868700.\nAnswer: -152161800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: 4461125255 - 0.013074\nAnswer: 4461125254.986926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 16 = 27*c + 43. Let b = 0.1 - -0.1. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4*z**2 + 0*z**2 - 3*z**2)*(7*z + 13*z**3 - 7*z).\nAnswer: 13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: ((-36)\/(-22))\/(3036\/16698)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 3232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*b = -56*b + 51 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0000048736 to 7 dps.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 3894239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of -281, -264, -247?\n\"Answer: 17*h - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 0.2 - 0.5. Suppose 5 = 3*c - 1. Let u be (-15)\/12 + 1\/c. What is the third biggest value in u, a, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is -14507 + -3?\nAnswer: -14511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is 136748 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (y**(-15)*y*y**(1\/8))\/(y\/(y\/(((y**(10\/9)\/y)\/y)\/y))*y**(1\/4)\/y) assuming y is positive.\nAnswer: y**(-809\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 19372935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 0*b**2 - 323634 + 5*b - 6*b + 2*b**2 + 323612 to k + j*b + x*b**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(2448) + sqrt(2448) + 1 + 1 + (sqrt(2448) - (1 + 2*sqrt(2448) + sqrt(2448))))**2 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence rrqq when four letters picked without replacement from {r: 17, q: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 27703441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -27*j**4 + 135454*j**3 + 16416781*j?\nAnswer: -324*j**2 + 812724*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -315 divided by 7.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from cckg. What is prob of sequence gcgc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -3 (c) 1\/5 (d) -2\/13 (e) -1886\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6 = 5*a - 9, -3*t = -3*a + 9. Solve f = -t*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 299167543?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is 298 minutes before 3:17 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 144 - 39. Calculate the lowest common multiple of 4 + 4 + v + 5 and 8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 4734 and 6?\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of -86, -153, -214, -257, -270?\n\"Answer: 2*w**3 - 9*w**2 - 54*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in -5, 4, -4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*t - 145 = 2*o, -2*t = 2*t + o - 186. Let q(f) = -f**3 - 6*f**2 - 4. Let u be q(-5). Let i = t + u. What is the greatest common factor of i and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*a = 24 + 60. Let t = 38 - 34. Suppose -t*d - a + 9 = 0. Let x(m) = -m**3 - 4*m**2 - 3*m + 4. Give x(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 504088 plus -1355483420?\nAnswer: -1354979332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 292 minutes before 1:16 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Put -2, -5, 41903, 3 in increasing order.\nAnswer: -5, -2, 3, 41903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Sort -49, 28, -4 in decreasing order.\nAnswer: 28, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 176658 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 570 = -5*a + 14*a + 606. Sort -18, a, 1, -3, -20 in descending order.\nAnswer: 1, -3, a, -18, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be 4\/(-10) - 828\/(-1495). Let i = -7 - -11. Sort 5, j, i in increasing order.\nAnswer: j, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 50979.\nAnswer: 3, 16993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -21 - -20.9. What is the second smallest value in 2\/9, 2, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = q - 2*q - 3*g + 8, 4*g = -3*q + 14. Let l(z) = z**3 - 13*z**2 - 30*z - 1. Let h be l(15). Put 1, h, q in ascending order.\nAnswer: h, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 23838309 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Is 103993655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -79960628*d**3 + 11 + 79960747*d**3 - 8.\nAnswer: 119*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -4682 + 4681.8. Put f, -1, -25 in ascending order.\nAnswer: -25, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be -2 + (-2 - (-3 - 315)). Suppose 206 + o = 5*q. Calculate the remainder when q is divided by (-146)\/(-10) + 20\/50.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -199906*x**2 - 77588*x**2 + 4*x**3 - x**3.\nAnswer: 3*x**3 - 277494*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is 224607.6 minutes in hours?\nAnswer: 3743.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: 4212 + 0.2\nAnswer: 4212.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {p: 6, j: 1, g: 4, w: 4, e: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (m**0)**19*(m\/(m*(m\/((m**(-2\/9)\/m)\/m))\/m*m))\/(m**(-4\/3)*m) assuming m is positive.\nAnswer: m**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: (51 - -1) + 1560 + -1592\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -126*k**2*s + 29*k**2*t**3 - k*s*t + 78*s*t**3 - 2*s*t**2 + 113 with respect to k.\nAnswer: -252*k*s + 58*k*t**3 - s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify k**(-4)*k*k*k*k**3*k*k**(-1\/2)*k\/(k\/(((k**(-1\/6)\/k)\/k)\/k)*k) assuming k is positive.\nAnswer: k**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -0.5 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Express -43*q + 23*q - 53*q**4 + 22*q + 10*q**4 - q**3 in the form h*q + m*q**4 + b*q**2 + l*q**3 + y and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let b(k) = -4*k**2 - 352*k + 267. What is b(-89)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is -7 (base 12) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the millions digit of 1249561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -22209, -177857, -600327, -1423029, -2779373?\nAnswer: -4802769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4 = -4*h - v + 17, v = -3*h + 10. Suppose -h*z - 10 = -n, -3*n = 2*n + z - 18. Solve -2*l + n*c = 10, 0*l - 1 = 2*l + 5*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 19 a factor of 775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 42 and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*r - 5520 = -13*r. What is the greatest common divisor of 138 and r?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 302997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence ptg when three letters picked without replacement from {v: 1, t: 1, g: 3, p: 1, o: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: -1413285 (base 10) to base 12\nAnswer: -581a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (-18)\/(-10) - ((-32)\/10 - -3). Let n = k + 1. Suppose n*t = -2*t. Solve t = 2*z + 5*f - 1, z + 2*z = 3*f + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 29590*u**3 - 13963*u**3 - 12604*u**3.\nAnswer: 3023*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (17*u - 6*u - 8 + 11)*(5*u - 2*u - 2*u) to x*u**2 + w + b*u and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in 2\/7, 0.5, 1, -32\/225, 10\/11, 2?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -3 in -1, 0.1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -32 - -37. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be ((-18)\/(-63))\/(198\/(-14)). Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 95051 at least 95094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -10*w = 21*w - 279. What is the remainder when 32 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between 148.977049 and 357?\nAnswer: 208.022951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from {n: 4, v: 1, y: 3, l: 2, x: 6, h: 2}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 30*b - 14*b - 12*b + 49*b + 24*b - b.\nAnswer: 76*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.4253 rounded to 2 dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:06 AM and 8:05 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 6308 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is 0 divided by -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -761 + 763. Which is the second smallest value? (a) m (b) 3\/7 (c) 0.03 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -0.1 and 90.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Express -360*j**4 - 81*j**3 + 2 - 2*j + 80*j**3 - 435*j**4 as z*j**3 + a*j**2 + y + g*j + p*j**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 4976 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*s + 3*f - 22 + 3 = 0, -4*s - 4 = -4*f. Let d(h) = -4 - h**s - h**3 + 6*h - 10*h**2 + 16*h**2. Calculate d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 573828 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (1 + 0)*(3 + -3). Let k(a) = 0 + j - 6*a**2. Let m(g) = 71*g + 62*g - 134*g. Calculate m(k(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2065 + 2065 + 103*z)*(-6*z + 4*z + z)*(0 - 2 + 1).\nAnswer: 103*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*d + 0 = 4, -4*d = 3*j + 11. Let f(h) = -4*h**3 + 4*h**2 + 4*h - 1. Let q be f(j). Factor -q*i**2 + 0*i + 3\/2 + 0*i**3 + 3\/2*i**4.\nAnswer: 3*(i - 1)**2*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 0.33 - 0.32999648. Round u to 7 dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 22850363 by 6.\nAnswer: 22850363\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let u(c) = -c**2 + 275*c + 5593. Give u(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 185*d - 183*d + 10. Let n = -22 - -21. Sort 0, d, n, 1.\nAnswer: d, n, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -431*k**2 - 846*k**2 + 32 + 40 + 2*k - 100 + 26 as x*k + g*k**2 + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is 33078635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 9978.7 - 8492. Let r = -1395 + d. Let v = r + -86. What is v rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 20908706?\nAnswer: 2, 7, 13, 114883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.292 minus 19.676?\nAnswer: -19.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -387 divided by 16552.\nAnswer: -387\/16552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve g = -342778*b + 342763*b - 715, 2*b + 106 = 2*g for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Sort -4, -35, 6.\nAnswer: -35, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 20195944 is divided by 3404.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 10*(-8)\/(-1600)*-5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 193 + 11747?\nAnswer: 11940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (-8)\/3 + (2 - 0). Suppose -5 - 7 = -3*r. Let m(n) = n**3 - 5*n**2 + 3*n + 2. Let h be m(r). What is the closest to -1\/4 in h, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((14 + -13)\/((338\/4)\/(-13)))\/(-5).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*g + 5*x = -g - 131, 3*g + 166 = 2*x. Let o = -15 - g. Calculate the remainder when o is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -75 = 331*t - 346*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -h - 4241 = 5*f - 3*h, f + 3*h + 855 = 0. Let v be 15\/(-20) + f\/(-12). Let q = v - 48. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 35*k = 265 + 540. Suppose -15*x = -k*x + 7344. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -11*v - 946 = -0*v. Let y = -84 - v. Find the second derivative of -21*o + y + 33*o**3 - 2 + 8*o wrt o.\nAnswer: 198*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*f = 6*f + 52. Let b = 1 - f. Calculate the remainder when 55 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(q) = -53185 + 12*q**2 + 53185. Let z(r) = 5*r**2. Calculate z(a(t)).\nAnswer: 720*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -4150 - -8303\/2. What is the closest to -1\/3 in 0.05, 4, f, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: (-8*7\/42)\/(4 + 290\/(-75))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Round -9960 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -49*n - 223 = -811. Calculate the remainder when (1*22)\/(2\/2) is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(l) = -2*l + 5. Let u(h) = -h + 4*h - 2 - 4. Suppose -3*f - 9 = 3*a, 2*a = -f - 2*f - 4. Let p(d) = a*u(d) - 6*m(d). Let y(s) = -s**2. Give p(y(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 10395872, -2, 0?\nAnswer: 10395872","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-2)\/(-42))\/(2*7\/(-504)*-3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 92*c**5 + 15*c**4 - 278*c**3 + 139*c**2 + 36*c - 4 = 0. Calculate c.\nAnswer: -2, -1\/4, 2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is 682 minutes before 1:22 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let d(y) = -13*y**3 - 6*y**2 + 6*y - 8. Suppose 3*o - 12 = 4*r, 0 = 2*o + 2*o + 5*r - 47. Let q be d(o). Round q to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(p) = 10*p**3 + 87*p**2 + 153*p. Let q(m) = 5*m**3 + 44*m**2 + 76*m. Let b(w) = 4*n(w) - 7*q(w). Factor b(u).\nAnswer: 5*u*(u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -r = 2*p - 3*r - 20, -4*p + 67 = 5*r. Suppose 68 = p*d + 16. Solve 6*m - 2*m + d = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 0 greater than -36651\/75119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -391171 + 183067675\/468. Let x = -1\/234 - a. What is the fourth biggest value in -3, 3, -1\/6, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 0, -5, 8 in decreasing order.\nAnswer: 8, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth root of 4543 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let m(t) = -t. Let p(h) = 971*h**2 - 118 + 269 - 151. Calculate p(m(r)).\nAnswer: 971*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 12*y = -25*y + 10989. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out 7.03 * 3.\nAnswer: 21.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve 635*p + 15 = -3*j + 630*p, 0 = -j + 2*p - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 19762*a**4 - 13914 wrt a.\nAnswer: 79048*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1768414632.\nAnswer: 2, 3, 137, 211, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 28737 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let x(c) = -c - 1158. Let v(k) = k**2. Give x(v(s)).\nAnswer: -s**2 - 1158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let p(w) = 18*w**2. Let y(k) = -56*k**2. Determine y(p(q)).\nAnswer: -18144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in 2, -30, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let r(a) = 4*a**2 + 96*a - 95. Let b be r(-25). Solve -16 = -4*w + b*p - 25, 3*p - 35 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -31*y + 4 + 24*y - 67*y - 38*y in the form n + b*y and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is -3 - -35?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let s(u) = 2*u**2 - 1 + 12 + 11*u + 0*u**2. Is s(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -73 - -73.037. Let d = -2.203 - w. Let c = -1.8 - d. What is c rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 141047727?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 83676126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -178, -1008, -2440, -4516, -7278, -10768?\nAnswer: -15028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 10401705 and 196476650?\nAnswer: 1768289850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2345?\nAnswer: 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 38, 360, 1234, 2936, 5742, 9928, 15770, 23544?\nAnswer: 33526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 7249?\nAnswer: 11, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let c(o) = o + 8. Let q be 3\/((-1)\/2 - 0). Let r be c(q). Suppose -5*a + r*k = -77, k + 4 = 2*k. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 5*b**2*k**3 + 14*b**2*k**2 + 6*b**2 - 16*b*k wrt k.\nAnswer: 30*b**2*k + 28*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0 (c) -932 (d) 1 (e) 0.1 (f) -20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 438799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let i(a) be the first derivative of 2543*a**3\/3 - 447*a - 50. Differentiate i(q) wrt q.\nAnswer: 5086*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(u) = 70*u. Let w be x(1). Let o = -182 + 181.7. What is the third smallest value in -4, w, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 12777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Sort -8.2, -1\/5, 5 in decreasing order.\nAnswer: 5, -1\/5, -8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is 423 (base 10) in base 7?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -27 - -57. Let o be (36\/d)\/(0 - 9\/(-60)). What is the hundreds digit of 9*((-24)\/(-14))\/(o\/56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(d) = d**3 - 6*d**2 + 9*d - 19. Let w be b(4). Let a(x) = 2*x**2 + 12. Calculate the smallest common multiple of 9 and a(w).\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 876245111 a multiple of 4011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.000007999 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0.2 in -2\/29, 26127, -3?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -38.99285 + -0.00715. Which is the nearest to -1\/4? (a) 1 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -9652 - -10010. Which is the fifth smallest value? (a) 6\/5 (b) -2\/13 (c) g (d) 2 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 179 divide 198975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is 189066533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5 = -5*f, -25*f + 23*f = c - 12. What is the greatest common factor of 10 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3466 = 2*t + t - 2*b, -3*b = -3*t + 3471. Is t a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(r) = r**3 + 55*r**2 + 64*r + 532. Calculate b(-54).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:01 PM and 6:08 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -86*p + 81*p + 186*p + 543 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 3\/12056 + -79889\/72336. Calculate the common denominator of 8\/14 + 3189*52\/(-13104) and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 5111 a factor of 576612798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (d\/d**(-1\/10))\/d**6 assuming d is positive.\nAnswer: d**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let t(z) = -z**2 + 1271*z + 3851. Determine t(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let i(n) = n**2. Suppose -x + 28 = -4*m - 44, 2*m = 4*x - 288. Let c(b) = -6*b + b + x - 70. Give i(c(s)).\nAnswer: 25*s**2 - 20*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: -980.96 - -0.1\nAnswer: -980.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 h and 2 w when four letters picked without replacement from {t: 5, b: 7, w: 2, h: 2, j: 4}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: How many milligrams are there in 5712.139 nanograms?\nAnswer: 0.005712139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.9344 - -3.\nAnswer: 2.0656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 273983*0.2.\nAnswer: 54796.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 1\/(-1) + (5121\/(-270) - -16) and 14\/69.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(s) = -s**2. Let x(p) = -8467676*p**2. Determine x(z(u)).\nAnswer: -8467676*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 20*l - 183 + l**2 - 183 + 366 to g*l**2 + q*l + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let n(k) = k**2 + 3*k - 2. Suppose -3*h = h - 4, 3*p - 5 = 4*h. Let b be ((-2)\/p - 0)*-3. List the prime factors of n(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -57, -4, 5, 1, -65, -2 in increasing order.\nAnswer: -65, -57, -4, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(125) + 1)**2 + 4.\nAnswer: 10*sqrt(5) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-1*sqrt(180))**2 + (1*sqrt(60))\/sqrt(12) - (sqrt(540)\/sqrt(108))\/(sqrt(36)*4).\nAnswer: 23*sqrt(5)\/24 + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -44053, -88118, -132183?\nAnswer: -176248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 1807.355 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 25 + 21. Let l be (1 - 0)*125\/5. Suppose f + 0*f - l = 0. Calculate the remainder when m is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -236, -478, -722, -968, -1216?\nAnswer: -1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let w(h) = -h**3 - 2*h**2 - h. Suppose -5*v + 15 = -5*q, 7 = -v + 3*q + 20. Let r be w(v). Suppose n + r*n = 0. Let d(l) = -l - 2. Give d(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(h) = -8*h**2 + 13*h - 3. Let x be n(-7). Let v = -30 - x. What is the highest common factor of v and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 q, 1 r, and 1 u when three letters picked without replacement from {u: 4, r: 1, q: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Product of 318017 and 0.3.\nAnswer: 95405.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -15863 + 16563. What is the highest common factor of a and 3700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((u**8\/u**1)\/(u**(-11)\/((u**(1\/6)\/u)\/u)))**(1\/3) assuming u is positive.\nAnswer: u**(97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 52032, 103590, 155148, 206706?\nAnswer: 258264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.000156529156 rounded to seven dps?\nAnswer: 0.0001565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -8 + 1 - (-6 + 1 + 12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-2)\/20*35\/(-21).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 13.75 + -13.8. Let g = 44600 + -44600.050062. Let v = c - g. Round v to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (36\/4*3)\/1. Suppose -y*c = -24*c - 2193. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -1965*k**2 - 1945*k**2 + 845*k**2 - 1589*k**2 as s + a*k + d*k**2 and give d.\nAnswer: -4654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 0.0396 - 0.5396. Let s be (-40)\/(-14) + -2 + -1. Sort 24, s, m in descending order.\nAnswer: 24, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -n - 1156 = 4*y - 1084, 4*y - 308 = 5*n - 2*y for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 27660 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (-1)\/(-2) + (-23)\/(-2). Calculate the highest common factor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3 = -5*t - 3*k, t - k - 2 = 5. Let b be t\/4 - (-26)\/8. Suppose 24 = b*w - w. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(n) = 3*n + 1. Let r be u(3). Let i be -1 - 4\/1*-4. Let o = i - r. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 7*x + 28512 = 31*x. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 2691*t**3 - 3321*t**3 - 2923*t**3 - 2631*t**3.\nAnswer: -6184*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*o - 12 = -2*t, -2*t = 2*o + 2*o - 12. Suppose 6 = -3*k + t*k. Suppose -k*n = -f + 31, -3*n + 2*f - 64 = 4*f. Round n to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {i: 3, o: 2, z: 1, n: 2, t: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Solve -6 = -d - 7*c - 13, -5*c - 5 = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -109\/552 and -131\/4560?\nAnswer: 104880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -99\/5 (c) 46 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let b be 0\/3 + 2\/(-13). Let z = 11 + -9. What is the second smallest value in z, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in 0.3, -0.1, -697?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 18.23474l in millilitres?\nAnswer: 18234.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.003967 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 37 + (-512)\/8 + 47.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -54 + 78. Suppose 2*b = 6*b + i. List the prime factors of -1*3 - (-31 + b).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 360 (base 15) to base 11.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4 = 3*a - a. Let b = 10 + -5. Let t(y) be the third derivative of y**5\/20 - y**3\/6 + 3*y**2. Let j(p) = -p**2. Determine a*t(w) + b*j(w).\nAnswer: w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 - 4 = -2*w. Let s(h) = -3*h**3 + 2*h**2 + h. Calculate s(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of 248, 977, 2182, 3857, 5996?\n\"Answer: -k**3 + 244*k**2 + 4*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 959943, 959944, 959945, 959946, 959947, 959948?\nAnswer: 959949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 750212 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 823\/2 + -411. Put r, -1\/2, -0.3 in decreasing order.\nAnswer: r, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(r) be the third derivative of -r**4\/8 - 88*r**2. Let g(o) be the first derivative of -2*o**2 + 1. Determine s(g(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 155, 700, 1615, 2900, 4555, 6580, 8975?\nAnswer: 11740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 11723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 11353015 divided by -2270603.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Product of 0 and -1566.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let t(c) = -16*c**4 + 9*c + 11. Let r(g) = -5*g**4 + 3*g + 4. Let a(m) = -11*r(m) + 4*t(m). What is the second derivative of a(n) wrt n?\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 0.111 + 9.989. Let u = 10 - w. Let y = 2 + 0. Which is the biggest value? (a) y (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(n) = -n**2 + 6*n + 8. Let v be i(7). Let z = 0.3 - 0.3. What is the nearest to z in v, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(m) = 5*m**2 - 97*m - 2974. List the prime factors of f(-49).\nAnswer: 2, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Subtract -347.5 from 7.2.\nAnswer: 354.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -3*t**2 - 55*t - 5*t**2 + 55*t.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let h be 2\/(-4 + 54\/12). Suppose -29*p = h*p - 22737. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 11 divide 207746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 7176, 12397, 17618, 22839, 28060?\nAnswer: 33281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 513601 (c) -1\/6 (d) 1\/3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 4902757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*x - 19 = -3*i - 1, -2*i - 4*x = -20. Suppose -j + 3 = -i. Solve 0*u - 4 = -4*v - 4*u, -5*v = 3*u - j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -1 - -33. Suppose -2*p - 4 = -6*p. Let t be 4\/(-12)*-24*p. What is the highest common divisor of t and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -128 + 171. Suppose -f*d = -41*d - 20. What is the remainder when 24 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence ivlv when four letters picked without replacement from vvivooovilvvviii.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: 1.91 - 19\nAnswer: -17.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 11*r**2 + 95*r + r**2 - 13*r**2 - 95*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 0.074 + -0.309. What is d rounded to 2 decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((o**(-1))**29\/(o**(-3\/5))**(-47))**(1\/8) assuming o is positive.\nAnswer: o**(-143\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let k be 30\/24*(0 + 1)*4. What are the prime factors of (-4 - -3) + 3620\/k?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n be 10\/(-4)*(2 + (-84)\/70). Let w = 1137 + -11381\/10. Is w > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 95 + -62. Suppose 5*j - 5*q - 5 = -0*j, 2*j = -5*q - v. What is the third biggest value in j, -0.2, 1\/2, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 3*b**2 - 3*b**2 + 2*b**2 + (-2*b + 3*b + 0*b)*(407322 - 407322 + 819*b).\nAnswer: 821*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -4 - 421287*y + 3 + 1 + 111503*y.\nAnswer: -309784*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 235.3 - 234.3. What is the third biggest value in -11, 0.3, l?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 1169\/119 + ((-4988)\/731 - -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 20 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 6273 and 53505.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let c be 132 - (8\/(-5) - 6\/15). Let u = c - -97. List the prime factors of u.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {o: 2, q: 2, a: 6, s: 3, t: 4, z: 1}. What is prob of sequence soqo?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -51*m + 25 - 127 = 0. Let x(v) = -10*v + 4. Let g be x(3). Sort -3, m, g in ascending order.\nAnswer: g, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -4 + -44 + 7 - (53 - 51).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(450)*-1)\/(sqrt(2) + (sqrt(72) - (sqrt(72)*-1 + sqrt(72)))))\/(sqrt(315)\/(sqrt(847)*-2 - sqrt(847))).\nAnswer: 33*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -1124*a = -3768 - 5561 + 1461 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 24 - 54?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let s be (-25)\/(-68) - 151\/604. Which is the third smallest value? (a) s (b) -11 (c) -5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 7*w - 150*w = -5791 - 11226. Solve 57*h + 280 + w = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 11867287379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 608 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 7576 is divided by 361.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 2044*g*h*r**2 + 3*g*h*r + 976*g*h + 23*g*r**2 + 3*g*r - 2*g - 9*h*r**2 + 35*h*r wrt r?\nAnswer: 4088*g*h + 46*g - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 39 = -5*a + 14. Let u = a - -42. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -5, 0.3, -3, 131 in descending order.\nAnswer: 131, 0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let r(i) = 5*i**2 + 422*i + 3343. What is r(-9)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve -197*f + 5151 - 1449 = -829 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 602525853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 9\/3 - 11 - 962\/(-148).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from oooonngooxknnsnk. What is prob of sequence kxk?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Divide -6 by 34.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -h = 2*n - 12, -31*n + 26*n + 4*h + 30 = 0. What is the fifth smallest value in n, 0.4, 0.3, -1\/4, 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in -36, -5, -3\/5, 0, 228, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: -11 + (16\/(112\/14) - (-46)\/5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*n = 5*j + 1652, 9*j - 6*j - 1684 = 2*n. Let k = n + 856. Suppose 0 = 5*q + 15, 16 = v + 4*q - 50. What is the remainder when v is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 297250 is divided by 6195?\nAnswer: 6085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is 222 a factor of 116917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is ((316\/237)\/(2\/(-1)))\/(2\/(-82311)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4865*d + 190330 - 22218 = 67813 - 206196 for d.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {d: 1, b: 2, i: 1, l: 2, j: 2}. Give prob of picking 1 j, 1 b, and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from piipii. Give prob of sequence pii.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 102281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let d be 1*(3 - 4)*-2. Let t(m) = 115*m + 7 - d*m**3 + m**3 - 116*m. Determine t(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (12 - 16*u - 35 + 15*u)*(-4 + 2 + 5)*(-u + 0 + 0).\nAnswer: 3*u**2 + 69*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 64 + -75 + (-11 - -6 - 38).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -2*y**4 - 8 - y**4 - y**4 - 6*y**4 wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from vcvwv. Give prob of sequence vcw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of 59, 121, 183, 245, 307?\n\"Answer: 62*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*q + 4 - 8 = 0. Let j(k) = -k**3 - 5*k**2 - 2*k - 3. What is the smallest common multiple of j(-5) and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 0.02 + 0.38. Which is the closest to 1? (a) -2\/13 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(b) = -b**3 + 6*b**2 - 3. Let o be z(6). Let q = o + 5. List the prime factors of -1 - q - (-9 - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -20*g**5 + 5*g**3 - 175*g - 1 wrt g?\nAnswer: -400*g**3 + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-3*(-4)\/(-30))\/((-1)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 6594720 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is 7301335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let l(q) = q - 3. Let j be l(-3). Let f be 1\/2*j + 3. Let y(a) be the first derivative of -a**4\/4 - a**3\/3 - a**2\/2 - 6*a - 2. Calculate y(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(o) = 11*o. Let u(f) = -3*f**2 - 8. Give u(r(s)).\nAnswer: -363*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let a(r) = 55*r**2 + 661*r + 12. Determine a(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve -50*u + 14534 = 14234 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -525 - -905. List the prime factors of u.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(n) be the first derivative of n**6\/60 - n**4\/8 + 2*n**2 + 5. Let b(x) be the second derivative of d(x). Find the second derivative of b(i) wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (-4)\/(-4 - (-5 + 3)). Is g*(-2)\/(4\/(-46)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 63 - 35 + 3*u - 41.\nAnswer: 3*u - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let c(h) = -18*h**3 - 5*h**2 - 2*h + 4. Let a be c(-2). What is the highest common factor of 176 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(l) = 6*l**3 - 7*l**2 - l + 2. Let q(w) = 9*w**3 - 11*w**2 - w + 3. Let x(v) = -5*q(v) + 8*t(v). Suppose x(k) = 0. What is k?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -74340 + 119533. Is 43 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 135\/180*(-656)\/(-3) and 32.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -19*h = 12*h + 28*h - 531 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 8.1 + -1.1. Let n = o - 5. Are n and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the nth term of -11, -20, -35, -56, -83?\n\"Answer: -3*n**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 1952634 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 9595.\nAnswer: 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let m(x) = -x**2. Suppose -4*z - z - 15 = 0. Let s(a) = -493849684 + 3*a**2 + 493849684. Calculate z*m(u) - 2*s(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let o(j) = -3*j - 89. Let f be o(-27). Let w be (40\/24)\/(f\/(-72)). Solve 0 = 11*g - 6*g - w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:50 PM and 12:23 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -k = -32*q + 29*q + 1352, -2248 = -5*q - k. Calculate the lowest common multiple of 225 and q.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 1490 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: -1791 (base 11) to base 8\nAnswer: -4346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let r(x) = 5*x - 10. Determine r(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0 (c) -2\/3 (d) -0.2 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the ninth root of 11800573 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Does 4 divide 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -t = 5*n + 15, -27*t + 31*t - 2*n = 28. Let r(s) = -15*s + 10. Let a be r(-7). Calculate the highest common divisor of t and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(g) = 890*g + 5795. Give q(-10).\nAnswer: -3105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (17 - -26) + -75 + 73.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 915 + -29851?\nAnswer: -28936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2 - 5 + 6)*(-5*x + 11*x + 26*x) + (-x - x - 3*x)*(-2 + 0 + 4) - 1 + 1 + 2*x.\nAnswer: -40*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify d**(-17)*d\/(d*d**6)*d assuming d is positive.\nAnswer: d**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in -1.1, -1, -1\/11, 1234?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 6147961307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let d(v) = -5*v - 7. Calculate the smallest common multiple of d(-4) and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(k) = -11*k. Let o(u) = -2*u**2 + 21*u. Calculate q(o(n)).\nAnswer: 22*n**2 - 231*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -2*t - 10, 0 = y + 4*y - 5*t - 15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let j(k) = -8*k**2 - 1. Let q(g) be the third derivative of -g**5\/12 + g**3\/6 + 21*g**2. Let s be q(0). Calculate j(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 49654, 12, 0 in ascending order.\nAnswer: 0, 12, 49654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 6*((sqrt(18))**2*-1 - sqrt(24)\/(sqrt(12)*2)) + 1 + 1*(sqrt(2) - (sqrt(8) + 2))**2.\nAnswer: -101 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 648 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1\/(-1)*-4*2\/14.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Factor r**2 + 30804330*r + 237226686687225.\nAnswer: (r + 15402165)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let p(f) = -3*f**3 + 18*f**2 + 7*f - 7. Let g(j) = j**3 - 9*j**2 - 3*j + 3. What is 7*g(u) + 3*p(u)?\nAnswer: -2*u**3 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-1)\/((-4)\/14) - (9 + 171\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 8 and 374.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 942 and 471?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 16\/5 and 22\/1607.\nAnswer: 8035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 85*a + 418*a + 348*a + 344*a + 18*a**3 wrt a.\nAnswer: 108*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(v) = v**2 - 30*v + 189. Let c be s(9). Let t = -1 + 1. What is the nearest to t in -1, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 944 + (-60)\/(45\/3). Calculate the highest common factor of 70 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 5757159.5 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1126 is divided by 409.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8*g - 3*g - 3*k = 88, 5*k = g. Solve g*r - 9*r = -44 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (6\/4)\/(15\/80). Suppose -28 = v*o - 12*o. Solve -5*g - u - o = -0*g, u = g + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from ataawwwt. What is prob of picking 1 a and 1 w?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 352.787 + -353. Let t = -0.087 + c. Let n = 66\/5 + -64\/5. What is the second smallest value in t, n, -0.2, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*m + 83 = 15. Let t(b) = 7 - 26*b - 23*b + m*b. Let j be t(-4). What is the highest common divisor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(a) = -a**3 + 18*a**2 + 38*a - 4. Let k be h(-2). Let y(p) = p**3 - 15*p**2 - 23. Let i be y(15). Sort -1, k, -4, i.\nAnswer: i, -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -12 (c) 3 (d) 2 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 1389.9 + -1438. Which is the nearest to u? (a) 12 (b) -3\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 27965621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -27*y + 55*y = 1652. Is y bigger than 527\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: -15*(13 + 1410\/(-108)) - 19\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 12826872 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (14*w - 40 - 13*w - 3*w)*(0 + 2*w + 0) + (-w - 2*w + 0*w)*(2*w - 2*w - w) to the form v*w + s + q*w**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is d in -2\/13*d**3 - 70\/13*d**2 + 1768 + 32*d = 0?\nAnswer: -26, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -27 - -41. Let q = -7 - -36. Let i = q - 1. What is the greatest common factor of f and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(s) = 13*s**2 - 2180*s + 54650. What is n(137)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 41794 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 5894441135?\nAnswer: 5, 11, 107171657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Multiply 0.21922 and 0.2.\nAnswer: 0.043844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let a be (6 - 0)\/(-23 - -26). Suppose -28 = -a*x - 2*x + 4*j, -3*j = x - 23. What is the remainder when 87 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 3207956 is divided by 2345.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Put 638, -2, 45, 5, 1, -6, 2 in increasing order.\nAnswer: -6, -2, 1, 2, 5, 45, 638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from drnxxdnorxxxmdx. Give prob of sequence monn.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 1472742 divided by -81819?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Divide 10883 by 109.\nAnswer: 10883\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let n(s) = 10222*s + 20402. Determine n(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Round -458.293 to the nearest ten.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let k(a) be the third derivative of 37*a**7\/2520 + a**4\/12 + 3*a**2. Let q(c) be the second derivative of k(c). Is q(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Are -1 and 3\/407 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (36\/128520*-24)\/((-2)\/7)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.02839292 to four decimal places.\nAnswer: -0.0284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -9*n = -26*n - 20930 + 93078. What are the prime factors of n?\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-4 - (6 - 9)) + (1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((1*sqrt(800))\/((sqrt(196) - -2*sqrt(196)) + sqrt(196) + sqrt(196)) + (sqrt(32)\/(1*sqrt(4)))\/(sqrt(12)\/(sqrt(27) + sqrt(3))))**2.\nAnswer: 1800\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let x(f) = f**3 - 9*f**2 - 4*f + 34. Let g be x(9). Sort 2, 91, -5, g in descending order.\nAnswer: 91, 2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 7.15491 rounded to 2 decimal places?\nAnswer: 7.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let u(o) be the second derivative of -17*o**5\/60 + o**4\/12 + o**3\/6 + 29*o**2\/2 - 2*o. Let s(g) be the first derivative of u(g). Determine s(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(z) be the first derivative of 3*z**4\/16 - 17*z**3\/4 - 3*z**2\/2 + 51*z - 2913. Solve c(n) = 0 for n.\nAnswer: -2, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 316 a factor of 61925572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: (3 - 6\/4)*(-180)\/135\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(a) = 245*a**2 + 2*a - 38. Let w(k) = k**2 + 6*k + 7. Let o be w(-6). Is v(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -15*u + 9*u = -414. Let m(d) = 21*d**2 - d - 1. Let h be m(-2). Let t = h - u. Calculate the highest common divisor of 176 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 32143773?\nAnswer: 3, 109, 98299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is 2440 - 132321342?\nAnswer: -132313402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*o - 4*z - 4, 8 = -2*o + 3*z + 13. Suppose -3 = -3*c - 0. Let k be (-4)\/2*1\/c. Put k, -5, o in decreasing order.\nAnswer: o, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 25*q*u**2 - 8665*q - 32*u**3 with respect to u.\nAnswer: 50*q*u - 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let s(o) = -o**2 + 2*o - 1. Let p(h) = h**2 - 2*h + 1. Let b(x) = 3*p(x) + 2*s(x). Suppose 2*j = 4 - 0. Calculate b(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(a) = -a + 158*a**2 + 1 + 0 - 5 + 2. Is q(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -13.421 + -260.019. What is w rounded to the nearest integer?\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-4455)\/132*(-4)\/(-10)*(-224)\/36?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -430 divided by -1193763.\nAnswer: 430\/1193763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-o + 5*o - 2*o + (0 + 4 - 6)*(-2*o + 4*o - 3*o) - o + o - o)*(11140*o - 5017*o - 4687*o) to s + q*o**2 + v*o and give q.\nAnswer: 4308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let g(n) = 73*n**2 - 98*n - 117. Give g(7).\nAnswer: 2774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -8\/91 and -4\/377?\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -29\/52 and 2\/(-2 - -10) - 20\/(-120).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -4*m*s**3*v**3 + 2*m*s**3*v + 35*m*s**2*v**3 + 2*m*s**2*v**2 - 17*s**3*v + s**2 + 2*v**2 wrt s.\nAnswer: -24*m*v**3 + 12*m*v - 102*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 1364 and 110.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (1\/(-3))\/((-4)\/6). Let u(o) = o**3 + 8*o**2 + 2. Let g be u(-8). Which is bigger: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -171*d**3*n**3 + 3*d**3*n**2 + 256*d**3 + 1200*d**2*n**3 - 2*n**4 - 30*n**2 wrt n?\nAnswer: -1026*d**3 + 7200*d**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Convert 1616256 (base 10) to base 5.\nAnswer: 403210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (830\/5 + 1)*1. Suppose 0 = 6*m - 13 - g. Let r = -18 + m. Calculate the remainder when r is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (a**(3\/5)*a\/((a\/((a*a**6\/a*a)\/a)*a)\/a))\/(a\/a**(-1))**1 assuming a is positive.\nAnswer: a**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -6*(1*sqrt(75))**2*-5.\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -1\/5 in -3\/2, -4, 898\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Divide -2744 by 392.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -1042288 + 1038118937\/996. Find the common denominator of 9\/3320 and t.\nAnswer: 9960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -961 + 276 + 274 + 411 - 312*k.\nAnswer: -312*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.362884 to two decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let i(m) = -m**2 + 5*m + 18. Give i(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Factor -k**3\/2 - 10515*k**2\/2 - 13839036*k - 96615806.\nAnswer: -(k + 7)*(k + 5254)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of 288, 589, 908, 1251, 1624, 2033?\n\"Answer: k**3 + 3*k**2 + 285*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from ddddddddlddl. Give prob of picking 1 d and 2 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let c(t) = t**2 - 11*t + 3. What is c(8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 121 and 28193?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let n(k) = -k**2 + 85*k + 3. Let r be n(0). Let j(s) = 7*s**2 + 8*s - 3. Let q(c) = 4*c**2 + 4*c - 2. Give r*j(b) - 5*q(b).\nAnswer: b**2 + 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 7, 3\/8, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let v(m) = 10*m**3 - m**2 + m. Let o be (-2 - 24\/(-10)) + (-16)\/(-10). Let u be v(o). Let l = u - 38. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 7 - -12. What is the remainder when 3\/60 - (-1399342)\/4360 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(q) = -q**3 + q + 1. Let i(n) = 4*n**3 - 30*n**2 - 6*n - 7. Calculate i(m) + 5*y(m).\nAnswer: -m**3 - 30*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 598, 1238, 1866, 2476, 3062?\nAnswer: 3618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve -56*t + 211*t - 5454 = -181*t + 33*t for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -10*v = -8*v - 381 - 4019. Is 2200 equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-54)\/6 - 28\/8*-2)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*s + 10 = s + 5*w, -s + 3*w + 11 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 5154*o**2 - 2583*o**2 - 2570*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (z**(-4\/9)*z*z\/(z\/z**(-2)))**(2\/69)*(z**10*z**0)**(1\/18) assuming z is positive.\nAnswer: z**(319\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 1221667848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -2*t**2 - 15601*t + 269357?\nAnswer: -4*t - 15601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (7 + 12 - 10)*(-71*b**2 + 6*b + 71*b**2 - 27*b**3) to d*b**3 + p + l*b**2 + f*b and give f.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -2 - -32. Calculate the smallest common multiple of j and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 55224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 30 and 13.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 14\/(-7)*(1 - 2). Suppose -2*a = -3*g + a - 27, u*a - 24 = 3*g. Let x be 0 + -4 - 23\/g. What is the closest to 2\/3 in x, 2\/11, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of ((-30)\/(-12) - 1 - 0)*(3338 + 2) and 12?\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {h: 9, e: 5, b: 2}. What is prob of picking 1 h, 1 b, and 2 e?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 7728926.\nAnswer: 2, 3864463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*i = -5*t - 24, 5*i - 22*t + 42*t + 85 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let s be ((-24)\/(-18))\/((-2)\/3). Let p(f) be the first derivative of f**3\/3 + 2*f**2 + 3*f - 7. What is p(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-6)\/(-2)*(-3 + (-130)\/(-45)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose l = 4*d - 133, -3*d = -d - 4*l - 70. What is the remainder when d is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*n - 97026 = -3*t, -37*n + 97026 = 3*t - 40*n. What is the ten thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 18160277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: 783\/(-522)*80\/6\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-1 - 6 - 2049*m + 2056*m + 36)*(2*m - m - 3*m) to q*m + s*m**2 + l and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Express -100 - 104 + 426 - 110 - 109 - 3690*y in the form f*y + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: 0.62 times -114\nAnswer: -70.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 166922.\nAnswer: 2, 7, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(272) + (-2*sqrt(272) - sqrt(272)))\/sqrt(8))\/(sqrt(2) + (-3*sqrt(24))\/sqrt(12) - sqrt(2)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Sort -4, -22, 0 in decreasing order.\nAnswer: 0, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose y - 2*m = 46, 0 = -2*y + 3*y + 4*m - 64. Let p = y - 50. Suppose -p*i = -i - 1535. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*m - 5*l + 18 - 13 = 0, -4*m = -5*l + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 159*y + 77786 = 2206*y for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 7.675998cm in kilometers?\nAnswer: 0.00007675998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -d + 4 = -2*h, 0 = 5*h + 6 + 14. Let l(p) = -p**2 - 5*p - 6. Give l(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -7284076, -14568156, -21852236, -29136316?\nAnswer: -36420396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -53257.52*0.6.\nAnswer: -31954.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -10646*a**2 + 474585?\nAnswer: -21292*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let s(j) be the third derivative of j**4\/6 + 2*j**3\/3 + 30*j**2 - 250*j. Let g = -8 - -6. Let n(x) = -x - 1. Determine g*s(v) - 9*n(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Does -1 = -688\/123153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Put 0.4, -8, 4 in decreasing order.\nAnswer: 4, 0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -8165 + 8163. Let k = -1.7 + -0.3. Which is the closest to x? (a) 9 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(p) = p**2 - 7*p + 5. Let q be h(7). Let i be 5*(-2 + 13\/q). Let a = 13 - 8. Solve -17 = i*o - a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 2374145.\nAnswer: 5, 19, 67, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*y - 2*y + 8 = 0. Suppose 5*f + f = 0. Suppose f = -y*i + 3*i - 4. Put 5, i, -5 in descending order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (5\/((-30)\/8))\/(27\/(-162)). List the prime factors of u*((-6)\/21 + (-1219)\/(-28)).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 3 - (-25 + 24 + (-5 - 6) + 21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 23 a factor of 3431389734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -5784, -11403, -16858, -22149, -27276, -32239, -37038?\nAnswer: -41673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*a = -3*a + 3*v - 505, -2509 = -5*a + v. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1207 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve -112*k + 31*k = -39*k - 39*k + 2*q + 23, 2*k - 2*q - 10 = 3*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let w(a) = -a**3 + 7*a**2 + 5*a - 3. Let k be w(9). Which is smaller: -121 or k?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*w - 4*c - 39 - 1143 = 0, 4*c + 948 = 4*w. Suppose -8*m - 5*m = -w. Solve 3*d = g + 11, g - 4*d + m = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 14\/7*((-9)\/(-3))\/18.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let t(d) = -4*d**2 - 702*d - 381. Calculate the smallest common multiple of 27 and t(-174).\nAnswer: 5967","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c be ((-20)\/6)\/((-6305)\/582 - (-10 + 0)). Solve -4 = -c*v - 3*h, 327*v + 3*h = 328*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*l = 4*p + 2, -2*p + 17 = -5*l - 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let -5*r**2 - 55*r = 0. What is r?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of 408, 2954, 9654, 22518, 43556?\n\"Answer: 335*d**3 + 67*d**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 6534730854?\nAnswer: 2, 3, 363040603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let c(t) be the second derivative of 1\/2*t**3 + 0*t**2 + 0 + 5*t. Let p(u) = -5*u**2. What is c(p(z))?\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -f - h + 13 = 0, -h - 1 = -0*h. Suppose 3*l - l - 4*a + 2 = 0, 4*l + 5*a = 48. Calculate the greatest common factor of l and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(o) = 4*o. Let b(c) = -33*c - 1. Suppose -8 = -j - 2. Let a(m) = j*b(m) + 51*l(m). Does 15 divide a(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -4\/951989 or 0.06?\nAnswer: -4\/951989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from jlgnhgh. What is prob of sequence jnlg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (-55)\/70 - 15\/(-30). Which is greater: v or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1121215442.\nAnswer: 2, 239, 257, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (2 - 3) + (-6)\/(-1). Suppose 3*j - 15 = -2*j + 2*u, -2*j + 3*u - r = 0. Suppose j*i = f - 1 - 8, 39 = 3*f - 3*i. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 91154.\nAnswer: 2, 7, 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 2\/9? (a) 22076 (b) 4 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in -0.09, -2\/39, 0.2?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 715347067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the zth term of -7, -3, 1, 5, 9, 13?\n\"Answer: 4*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 648, 1303, 1958, 2613?\nAnswer: 3268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (0 + 3 - -1) + (38 - 40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let g(m) = 4*m + 3. Suppose -c = 4*c + 10. Let h be g(c). List the prime factors of 28 - h\/((-10)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: (21\/196)\/(48\/(-56))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1 in -3, 12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 769965 divided by 36665?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 145.9 - 146. What is the nearest to 0.2 in n, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -0.25 - 1.75. Let q = 27 + -25.9. Let s = -1.2 + q. What is the closest to s in l, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 4 - -3ab5?\nAnswer: 3ab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (s**(-2)*s\/s**(-5\/3))\/(s**(-2\/9)\/s)**(-2\/9)*(s*s**1)**(20\/13)\/(s\/s**(-1)*s**(5\/4)\/s) assuming s is positive.\nAnswer: s**(5147\/4212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (l\/(l*l*l**(-1\/5)*l))**(1\/22)*l**(-16)*l**(2\/9) assuming l is positive.\nAnswer: l**(-15701\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -f - y = -3, 4*y = y. Let k(b) = 8*b - 3. Suppose 0 = 2*t - 13 + 35. Let g(s) = 3*s - 1. Let l(d) = t*g(d) + 4*k(d). What is l(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*u + 24 - 4, -5*u = y - 20. Suppose 0 = -4*c - 3*j + 39, c + 5*j - 14 = -y*j. Solve t + c = -4*h, 10*t + h = 5*t - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 0.22 + -0.02. Suppose 4*k - 30 - 50 = 0. Let d be (-48)\/k - (-4)\/10. Which is the second biggest value? (a) d (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 20\/(-25)*(-1 - 119). Let p = x + -60. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 39255155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -5\/1467 or 0.282?\nAnswer: -5\/1467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let n be (-30)\/12*18\/(-5). Calculate the greatest common factor of 18 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -s - 3 - 7*s + 2 - 1 as v*s + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*c = -595 - 253. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let -4*h**3 - 16*h**2 + 4*h + 16 = 0. Calculate h.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*f + 5 + 1. Let z(g) be the third derivative of 783333*g**4\/4 + g**3 + 2*g**2. Let n be z(f). Round n to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -64*m = -223*m - 194*m + 4942 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let v(w) = -w**2 - 17*w - 24. Let k be v(-15). Solve 6 + k = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (-5)\/(3\/12 - 10\/8). Suppose 84 = -8*q + 20*q. Solve 18 = -t*x - q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -0.1 in -1\/2, 1.6, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -85*b + 34*b - 714*b + 40*b + 46*b + 377*b.\nAnswer: -302*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is 12 - 2001211111121010?\nAnswer: -2001211111120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let x(u) = 2516*u + 975. Is x(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(s) be the second derivative of -11*s**3\/6 - 2*s**2 - s. Let a be m(-5). Suppose 0 = 5*q + 3*u - a, -11 + 1 = -5*u. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 3 - 4 - 830*l**2 + 863*l**2 + (2*l**2 - 2*l**2 - l**2)*(5 + 1 - 5).\nAnswer: 32*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 36*j - 134 + j**2 + 263 + 11*j - 129 to g + v*j**2 + a*j and give a.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 18 + -13. Suppose i - 23754 = y*d, -3*i = 3*d - d + 9488. Is 36 a factor of 2\/7 - d\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 2\/9 - (59752\/(-4356) + 14)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be -4 - ((-3 - -2) + -3). What is the units digit of 87*(1 - z\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 568921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 35352 - -20214?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is 2231017 - 2?\nAnswer: 2231015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let q(d) = 7*d + 46. Let t be q(-6). Let u(y) be the second derivative of 1\/12*y**t + 6*y + 0 - y**2 - 1\/6*y**3. Factor u(p).\nAnswer: (p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(w) = 3*w**2 + 4*w + 10. Let q be h(-2). Let s be (5 + (-2385)\/475)*(-10)\/q. Do s and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:48 PM and 11:07 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-1239)\/(-236))\/((-14)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Sum -1.27540962 and -7102.\nAnswer: -7103.27540962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0? (a) -2 (b) 34 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is a in -a**2\/2 + 13*a = 0?\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 0 - 103322220?\nAnswer: -103322220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 2\/((-3)\/(-14) - 57\/(-798)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: How many milligrams are there in 17\/10 of a gram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Add -42844150393.6 and -0.07.\nAnswer: -42844150393.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify i**(5\/4)*i**24*i**(3\/16)*i*i*i\/i**(2\/81) assuming i is positive.\nAnswer: i**(36823\/1296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -2.4 + 1.9. Suppose -26*s = -25*s + 9. Which is the second biggest value? (a) s (b) 0.2 (c) m (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 8 and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -4, -90, -240, -460, -756, -1134, -1600, -2160?\nAnswer: -2820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Put 7, 231, 1 in descending order.\nAnswer: 231, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -5 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 14 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve -26*w - 37*w + 34*w = 812 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 12 + -5. Let h = 1 - u. Is (56\/h)\/((-8)\/12) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -62 - -11086924.66305?\nAnswer: 11086862.66305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: (-8 + 152\/38)\/15\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -2933 + 909. Let v = -2023.99127 - n. What is v rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(o) = -103*o**3 + o**2 - o - 1. Let j be n(-1). Let a be (-13750)\/(-1*1\/j). Round a to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 2\/12 + (-3)\/(162\/63). Let n = 0 + 0.06. Which is the closest to q? (a) 1\/3 (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be (-1472)\/(-768) + (-2)\/(-24). Let 6\/5 - 3*m - 3\/5*m**3 + 12\/5*m**p = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Subtract 0.064455299 from 0.2.\nAnswer: 0.135544701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let g(p) = p - 3. Let j be g(7). Suppose l + j = -2*l - 5*w, -4*l + 18 = -5*w. Is l less than or equal to 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tenth root of 72832 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Factor 1\/6*a**3 - 4\/3*a + 2 - 1\/6*a**2.\nAnswer: (a - 2)**2*(a + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = i + 4*q - 154, -239252 + 239338 = 5*i + 2*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let y(n) = -2*n**2 + 3*n**2 + 2*n**2 - 2*n**2. Let h(c) = -18*c**2 + 322*c - 322*c. Give y(h(x)).\nAnswer: 324*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the biggest value in -1\/3, 0.5, 13\/2, -2\/7, -0.17?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 154 and 565180.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let j(u) = -11*u**2 + 6*u - 12. Let d(f) = 220*f**2 - 121*f + 242. Let i(q) = -6*d(q) - 121*j(q). Let y(c) = -303*c**2. What is y(i(h))?\nAnswer: -36663*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-20)\/(-36) - (-1232)\/(-1440)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*t = -0*t + 10. Find the third derivative of f**2 + f**t + 2*f**5 - 4*f**2 + f**2 wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of 2.6 and 719.14.\nAnswer: 1869.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 26 - 25.938. Let f = 3.062 - h. What is the closest to f in 0.2, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -40 = -2*k - 4*y, -4*k - 1118*y + 1113*y = -68. Solve -21*p - 96 = -k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -112, -404, -894, -1588, -2492, -3612?\nAnswer: -4954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {y: 5, b: 5, m: 3}. What is prob of picking 2 m?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -6757*p - 8442*p - 675*p + 6112*p - 12967*p.\nAnswer: -22729*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 0.8 - -0.2. Let c = 84.3 - 80.3. Let q be (-8)\/(-77) + (-5 - (-57)\/11). What is the closest to q in -0.3, c, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = v - 2*y - 11, 2*v - 2*y + 3*y = 17. Let i(x) = 8*x**2 + v*x**3 + 6 - 2*x**3 - 5*x - 8*x**3. What are the prime factors of i(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {v: 1, i: 4, k: 8}. Give prob of sequence ii.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 11\/5? (a) -15 (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: -5116909*-0.3\nAnswer: 1535072.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is -86291 times -5.8?\nAnswer: 500487.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Put 0.5, -0.7, -5 in increasing order.\nAnswer: -5, -0.7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -105 + 155. Suppose 0 = 5*w - 2*f - g - 82, 0 = 4*w + 5*f - 99. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between -0.07 and -672.25?\nAnswer: 672.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (-6)\/30 - (1 + 1918\/(-1590)). Let v = y + -323\/795. Which is the second smallest value? (a) 0.2 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(j) = -5*j**3 + j**2 - 2*j - 2. Let y be (-4 + 0 + 2)\/2. Let c be d(y). Let m be ((-54)\/7)\/(5\/(-35)). What is the highest common divisor of m and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 51659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -53? (a) -0.129 (b) -274\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*o - 5 - 0. Let w be o\/((4\/(-13))\/(-4)). Let h = 18 + w. Let z(f) = -f**3 + 6*f**2 - 3*f - 4. What is z(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.4 times -228883?\nAnswer: 91553.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve -k**4\/3 + 242*k**3\/3 - 18476*k**2\/3 + 453592*k\/3 = 0 for k.\nAnswer: 0, 62, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is -2936085590 minus -0.00295?\nAnswer: -2936085589.99705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -12\/7 and (-1952)\/440 - (-2)\/(-10).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -100 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -647*r - 821800 = -682*r. What are the prime factors of r?\nAnswer: 2, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -1.7933 - 3.2067. Let z = -9 - -6. Sort 1.2, v, z in descending order.\nAnswer: 1.2, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from {i: 1, m: 1, q: 1, b: 1, z: 1, c: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of 3189, 3290, 3391, 3492, 3593?\n\"Answer: 101*m + 3088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -211, -258, -343, -472, -651?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is -1366b (base 12) in base 8?\nAnswer: -64363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 60 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 8\/(-24)*(-30)\/(-10). Is -2\/99 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(q) be the first derivative of 2*q**3\/3 - 5*q**2 + 15*q + 8. Let o be j(6). Suppose o + 10 = b. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*f - 2 - 13 = 0. Solve 0 = -3*d + 5*h + 40, -3*h - 31 = -f*d - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -1\/3 in 3, 15\/113, 4\/9, 1\/7, -32?\nAnswer: 15\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: -4 (base 7) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 17498 is divided by 1189.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 25, 48, 71, 94?\n\"Answer: 23*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5 = -5*s - 0. Let q(o) = -2*o + 2. Let b be q(s). Suppose -b*y = -2*y - 144. Is y a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 31 divide 454956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: How many millimeters are there in 4842.11 nanometers?\nAnswer: 0.00484211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6 = t - 2*t. Let h(o) = 7 + 172*o**3 + o**2 - 7*o**2 - 173*o**3. Calculate h(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) -173 (b) 17 (c) -0.3 (d) -1 (e) 4 (f) 79\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 197347.\nAnswer: 197347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Factor 2*d**4\/15 + 4*d**3\/5 + 16*d**2\/15.\nAnswer: 2*d**2*(d + 2)*(d + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-12)\/5*(-200)\/(-120) + 4 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: -238 * -0.046\nAnswer: 10.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:41 PM and 7:01 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let z(p) = -p**2. Let b(i) = 7*i + 7. Let l(s) = -20*s - 20. Let t(w) = 17*b(w) + 6*l(w). Let x(d) = 23. Let r(k) = -23*t(k) - x(k). Calculate z(r(g)).\nAnswer: -529*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -394, -1033, -1672, -2311, -2950, -3589?\nAnswer: -4228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -15 - -24. Differentiate -11*m**2 + 7 + 5*m**2 - 4*m**2 - h wrt m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-4*l + l + 2*l)*(-5*l**2 + 4*l**2 + 2*l**2)*(-14639 + 71887 - 4495 + 46168 + 1255).\nAnswer: -100176*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Subtract -0.2 from -1551.942397.\nAnswer: -1551.742397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Does 75 divide 15225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the gth term of -12312, -24589, -36878, -49185, -61516, -73877, -86274?\n\"Answer: -g**3 - 12270*g - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 812006208 rounded to the nearest ten thousand?\nAnswer: 812010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: ((-2)\/3)\/(28\/126)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((504\/98)\/(-18))\/((-5)\/70*8)*-108.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -9 (c) -4146\/19 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Round -540.1666 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is 34522 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -12*u + 14*u - 4. Suppose -2*t + 4*w = -2094, -3*w = -2*t - u*w + 2085. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*w = i - 11 + 1, -w - 7 = -i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 314 (base 9) in base 11?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -8 + 28. Let g = 57 + -28. Suppose -3*y - l = -0*y - 13, -5*y + 2*l = -g. Calculate the highest common divisor of y and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2 + 6*s + 2)*(2*s - 2 + 2).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -2590555, -5181111, -7771667, -10362223, -12952779?\nAnswer: -15543335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 1594.000001185 - 1594. What is l rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: 2*(-15)\/(-630)*12\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let c(k) = -k. Let a(y) = 6*y + 1. Calculate -a(j) - 3*c(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let d(u) = 3*u**2 + 45*u - 1089. Let b be d(13). Determine t, given that 4\/3*t**4 - 4\/3*t**2 + 0 + 0*t**b + 2\/3*t - 2\/3*t**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -6087\/51884 + -1\/3052. Sort t, 1, 0.5.\nAnswer: t, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*x - 4*l + 1 = 5, -3*l - 32 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of -1744621, -6978562, -15701815, -27914374, -43616233, -62807386, -85487827?\n\"Answer: k**3 - 1744662*k**2 + 38*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -7173, -7158, -7127, -7080, -7017, -6938?\nAnswer: -6843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 6 and 12822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: -17462394 divided by -6\nAnswer: 2910399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is -1110111001100101011 (base 2) in base 5?\nAnswer: -111110420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*g**4 - 51*g**3 - 894*g**2 - 840*g = 0. What is g?\nAnswer: -10, -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: (3\/135*3)\/(22\/44)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 4267077400.\nAnswer: 2, 5, 29, 199, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let x(q) = -2*q**2. Let d(n) be the first derivative of -55*n**4\/12 - 32*n + 106. Let g(m) be the first derivative of d(m). Give g(x(v)).\nAnswer: -220*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Round -54.48 to one decimal place.\nAnswer: -54.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -127\/141216 and 137\/168?\nAnswer: 988512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let i(l) = -10*l**2. Let g(b) = 55*b + 15. Let o(m) = 101*m + 27. Let y(k) = -7*g(k) + 4*o(k). Give i(y(n)).\nAnswer: -3610*n**2 - 1140*n - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 33 plus 23?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let c be (-8 - -4) + 6\/2. Let t be 3 - (c - 4 - -2). Let p(s) = s**3 - 3*s**2 - 4*s - 4. Let z be p(t). What is the greatest common divisor of z and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(n) = -n**2 + 2. Let l(m) = -5*m**2 + 11*m - 14. Let u(o) = 2*f(o) - l(o). Let w be u(2). Let h(g) = g**3 - 7*g**2 - 11*g - 2. Calculate h(w).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-6 - -1) + -28 + 40 + -16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 950 and 20.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 24453 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 178 and 12015?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let s(q) = 239*q - 201. Let i be s(-5). What is i rounded to the nearest 10?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (36\/2)\/(7222\/25277).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 340476 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Divide 65 by 14700.\nAnswer: 13\/2940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) 3\/5 (c) -7\/3 (d) -2\/19 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Put 5\/4, 6\/7, 0, -2\/15 in descending order.\nAnswer: 5\/4, 6\/7, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Is 1369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.00019501 to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from gggeegeeeeeggg. What is prob of picking 4 g?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -3 + 9. Let z(y) = -y**4 + y**3 + y**2. Let i(k) = -3*k**4 + 6*k**2 + 6*k - 3. Let b(p) = j*z(p) - i(p). Factor b(w).\nAnswer: -3*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1? (a) -3 (b) 2\/3 (c) 43 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.005868 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let v(m) = -m**2. Suppose -r - 3*r + c = -5, -4*c = 4*r - 20. Let d(u) = 8*u - 9. Let n(y) = -1. Let h(w) = r*d(w) - 18*n(w). Determine v(h(z)).\nAnswer: -256*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -59*m**4*t + 2439*m**2*t + 28*t - 1193 with respect to m.\nAnswer: -236*m**3*t + 4878*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -19, 3, 39, 89, 153, 231, 323?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 777\/5 - 749\/5. Find the common denominator of (-9)\/(-4)*336\/126*(-5)\/52 and v.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(c) = -c - 3. Determine x(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 5366827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let n(t) be the first derivative of t**2\/2 + 2*t - 3. Let l(i) = -1. Let w(p) = 2*l(p) + n(p). Calculate w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine x, given that -12*x**5 + 5823476*x**4 - 3882296*x**3 - 7764632*x**2 + 3882308*x + 1941156 = 0.\nAnswer: -1, -1\/3, 1, 485289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 7*y - 3*y + y - 6*y + 46.\nAnswer: -y + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is 20762560 a multiple of 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -792 + 867. Calculate the highest common divisor of 285 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -280 + 273. Calculate the remainder when 93 is divided by (341\/(-22) + 12)*(j + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 4 + -43. Is m\/(-1 - 2) + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 321232 and 272.\nAnswer: 321232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is 93257\/461 less than or equal to 201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let o(a) be the second derivative of -19*a**6\/720 - a**5\/40 - a**4\/2 - 5*a. Let m(w) be the third derivative of o(w). Does 18 divide m(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 19 a factor of 146585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is seventy-one fifths of a kilogram in grams?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (3*v - 6*v + 2*v)*(-156 + 69 - 105)*(-24*v**2 - 7*v**2 + 10*v**2) to the form h*v**2 + j*v**3 + o + s*v and give j.\nAnswer: -4032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*r - 13 = -5. Suppose c - 9 = -r*c. Let k be (-94)\/(-2) + (-6)\/c. Round k to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 0 - -4. Suppose -12 = 4*v - v. Let m = v + 0. Sort 3, m, u in descending order.\nAnswer: u, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -408 - 240 - 299 + 77 - 590*h - 354*h with respect to h.\nAnswer: -944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 9081 divided by 11?\nAnswer: 9081\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-66)\/(-264)*(-1 - 3))\/(((-10)\/4)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {y: 9, v: 4, b: 3}. What is prob of sequence yyy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 2*u**2*v**4 - 3*u**2*v**3 + 2*u**2*v + 351*v**3 - 832*v**2 wrt v?\nAnswer: 48*u**2*v - 18*u**2 + 2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let -i**5\/8 + i**4\/4 + 207*i**3\/8 + 110*i**2 - 136*i = 0. Calculate i.\nAnswer: -8, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose j + 2*j - 48 = 0. Let k be (20\/(-9 - -4))\/((-2)\/10). Let u = -6 + k. Calculate the smallest common multiple of j and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out -113.7848 - -469.7.\nAnswer: 355.9152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let p(q) = q**3 + 115*q**2 + 398*q - 434. What is the tens digit of p(-111)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 450824813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*r - 6 = 2*g, -10*g - 13*g + 98*g - 73 - 35 = 39*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let a(h) = -h + 2. Let k be a(-2). Suppose -4 = -k*i + 16, 15 = -4*y + 3*i. Suppose 2*l + 2*l = 0. Do l and y have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -3*g**2*n**2 + 177*g**2 - 10*g*n**2 - g*n wrt n?\nAnswer: -6*g**2*n - 20*g*n - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from qqrqiifnqqqniiiffi. What is prob of sequence iq?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 505664819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 0 + 8 - 8 - 25*a**2.\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((z*z*z**0)\/(z*(z*z*z**(-10))\/z))\/(z**(1\/4)*z*z*z)**50)**48 assuming z is positive.\nAnswer: z**(-7320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*v = -9*v + 1932. What is the third derivative of w**2 - v*w**6 + 146 - 95 - 35*w**5 + 158*w**6 wrt w?\nAnswer: -360*w**3 - 2100*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1582760971?\nAnswer: 11, 19, 79, 257, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in -12, -5, -4\/3, 2.1809?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of 412742, 412739, 412730, 412715, 412694?\n\"Answer: -3*b**2 + 6*b + 412739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 22896684 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 60065 is divided by 30026.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*q + 7*l - 9*l - 9 = 0, -q + 3 = -l. Let o = 3.1 - 3. Let x be 2\/(4\/3*-1). Sort x, q, o.\nAnswer: x, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(h) = -h**4 - h**3 + 2*h**2 + 16*h. Let v(n) = -8*n**4 + 33*n**3 + 55*n**2 + 112*n. Let o(t) = 3*v(t) - 21*y(t). Factor o(b).\nAnswer: -3*b**2*(b - 41)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -236610957*u**3 + 620*u + 356974.\nAnswer: -1419665742*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 113785240?\nAnswer: 2, 5, 1487, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 714 and 75922?\nAnswer: 227766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is 37 a factor of 3812388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let v be ((-2)\/2)\/(5\/135). Let b = v - -29. Factor 8\/5*y**3 - b*y**2 + 4\/5 - 14\/5*y.\nAnswer: 2*(y - 2)*(y + 1)*(4*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -18*j - 2*j + 9390792 = 1233792. Round j to the nearest 10000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = s - 2*b - 3, 11 = -3*s - 2*b - 4. Let l be 0 + 0 + 2\/4. Is s at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from ffrffffrfr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -299 - -301. Let z(d) = 84*d + 72. Let o(v) = 13*v + 11. Let c(j) = -32*o(j) + 5*z(j). What is the least common multiple of c(a) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(i) be the first derivative of i**2\/2 + 9*i - 445. Let m = 18 - 25. Give s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -12 - -1. Let u = -10.999984 - o. What is u rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 707 minutes after 1:30 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let j be -1*(14\/49 - 4755\/7). Suppose -634 = 9*g - j. Solve 2*s - 24 = g*l, 7*l - 3*l = 5*s - 26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 89570320?\nAnswer: 2, 5, 7, 307, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 391 minutes before 7:35 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -35 - -34. Let j = s - -9. Suppose -2*b - j = -u, 2*u - 8 = -b + 3. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 121\/53 + -7229\/636. Calculate the common denominator of 13\/6 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(y) = -2*y**2 - 6*y + 3. What is d(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (0\/(-4))\/(-1 - 0). Suppose g*p - 2*f + 30 = 4*p, 2*f - 39 = -5*p. Calculate the least common multiple of 5 and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (10\/(-39))\/(1\/(-1263)) - 4. Let m = -320 + k. Put -2, m, 5 in ascending order.\nAnswer: -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -600890567423 - -1141331446512. Let d = -540440878475.999999254 + q. Let j = -613 + d. Round j to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -4*u**2 + 2 + 32*u**3 + 30*u**3 + 0*u**2 - 2*u**4 - 61*u**3 + 2*u to the form f + g*u**2 + c*u**3 + q*u**4 + z*u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is 53182 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let d be 19\/(76\/(-32)) + 25. Let l(v) = 21*v + 1. Let m be l(4). What is the greatest common factor of d and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 9 divided by 724442.\nAnswer: 9\/724442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 20581.\nAnswer: 11, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from eeklrl. What is prob of picking 2 l and 1 k?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 5175 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is 14743 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -46, -56, -88, -154, -266?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (2 + -3*sqrt(288) + 4)**2.\nAnswer: -432*sqrt(2) + 2628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: -1 + -121\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve -9*b + 5*b = 3*l - 7, l = -2*b + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-92 - -98) + (0 - 26) + (1 - 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l(t) = -6*t + 13. Suppose -v + 3*v = -2*f - 14, v - 3*f = -15. Let s = v - -3. Let n(p) = p - 2. Determine s*l(y) - 39*n(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (l**(-1\/21)\/(l\/l**26))\/(l**(2\/29)*l*l)**(-1\/15) assuming l is positive.\nAnswer: l**(15280\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 18307?\nAnswer: 18307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (q + 2 - 2)*(-2 - 4 + 4) + q - 4*q + q - 3488*q - 3486*q - 18 + 6991*q to the form z + r*q and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let o(k) = -2*k**3 - 9*k**2 - k. Let x(i) = i**3 + 3*i**2. Let r(b) = -3*o(b) - 8*x(b). Let u = -208 + 294. Calculate the remainder when u is divided by r(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*d = -156 + 21. Is 27 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -4750, -2, 0.1 in decreasing order.\nAnswer: 0.1, -2, -4750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 558536512*d*i**2 - 605101998*d*i wrt i?\nAnswer: 1117073024*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let s(t) = 2*t**2 + 79*t + 3167. What is the thousands digit of s(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is -2020 + 341b?\nAnswer: 13eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 6*((0 + sqrt(1300))**2 + sqrt(234)\/sqrt(2) + 1 + sqrt(637) + 1).\nAnswer: 60*sqrt(13) + 7812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 84 + -91. Let j = a - -19. Solve -4*h - j = 5*d, -4*h + h - 9 = 5*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0.0397 + -2\nAnswer: -1.9603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Expand (-4*x**4 - 5*x**4 + 3*x**4)*(-4 - 27 - 97) - 3 + 3 + 2*x**4.\nAnswer: 770*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve i**2\/4 + 8207*i\/2 - 50889027\/4 = 0 for i.\nAnswer: -19081, 2667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) -16 (b) 13 (c) 5 (d) 75 (e) 1\/4 (f) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 315\/140 - (-465)\/(-20).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 0.032742 + 68.693258. Let u = -0.474 - x. Round u to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(i) be the first derivative of 113*i**4\/4 + i**3 + i**2\/2 + 3093*i + 3963. What is the derivative of j(v) wrt v?\nAnswer: 339*v**2 + 6*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -4365421279\/837 + 5215555. Let m = w - -60\/31. Calculate the common denominator of m and 0\/9 + 34 + (-6517)\/228.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1222*i**2 - 573*i**2 - 648*i**2 + 129*i - 96*i + 129*i.\nAnswer: i**2 + 162*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -217 + 216. Let o(d) = 323*d**2 - 5*d - 7. What are the prime factors of o(x)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -85 = -42*q + 61*q - 24*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let j(p) = 543*p - 248145. What is j(457)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*s - 25 - 31 = 0. Suppose -n = n - s. Let f be 30\/4 + 4\/(-8). Calculate the highest common factor of f and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 10061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 40\/6*(0 - (-24)\/10).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 42 + (-6 - -16) + -32 - 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the tenth root of 223526156 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 374597474 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -51*f + 590 = -49*f. Let t = f - 292. Solve -t*i + 24 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (6 - 23 - -8) + (4 - (-2 - 13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -1? (a) 2\/215 (b) -2\/9 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let o(p) = -3*p - 19. Let v be o(-5). Which is the smallest value? (a) -2\/13 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 4*p**2\/7 - 460*p\/7 - 464\/7.\nAnswer: 4*(p - 116)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -3? (a) -0.06 (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7692*g + 7560 = -7636*g. What is the remainder when 2281 is divided by g?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 34 and 52802.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 79\/10666854 and 49\/3366.\nAnswer: 10666854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 4166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*g**3\/13 + 10726*g**2\/13 - 16108*g\/13 - 26830\/13 = 0. What is g?\nAnswer: -2683, -1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from hhkhkhttqhhphhqhhete. What is prob of picking 1 h, 1 t, 1 q, and 1 k?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Expand 5*i**5 - 4*i**5 + 3*i**5 + (3*i**2 + i**4 - 3*i**2)*(-i + i + 2*i + (-4*i + i + 2*i)*(-3 + 0 + 2) + i - 1 + 1).\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -1.3 + 1. Sort -5, r, -2\/23, 2.\nAnswer: -5, r, -2\/23, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 3990, 7915, 11840, 15765?\nAnswer: 19690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let a(n) = -17*n - 11. Let i(c) = -11*c - 7. Determine 5*a(p) - 8*i(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (i\/(i*(i**(-9)*i)\/i*i))\/(i\/i**(2\/13))*i*((i\/((i\/(i*i\/(i*i**(-4\/9))))\/i))\/i)\/i*i\/(i*i\/(i\/(i\/(i*i\/i**(1\/2))*i))*i*i) assuming i is positive.\nAnswer: i**(1427\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Is 16437493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (1 - 12\/4) + 4. Let o(l) = 3 - 50*l + 9*l**t + 50*l + l**3. What is the units digit of o(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(p) = p**3 + 20*p**2 - 5*p - 13. Is 7 a factor of w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(a) be the first derivative of -28*a**2 - 49*a + 6. Does 7 divide s(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 115151, 230344, 345535, 460724, 575911?\n\"Answer: -v**2 + 115196*v - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let c be (1 + -2)*(-8)\/(-2). Let t be (-344)\/(-72) + c\/(-18). Do 4 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 10, 14, 18, 16, 2?\n\"Answer: -v**3 + 6*v**2 - 7*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Determine p so that 5*p**5 - 873*p**4 + 27485*p**3 - 236151*p**2 - 98914*p = 0.\nAnswer: -2\/5, 0, 19, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*o + 3*b = -28 - 20, 5*o + b = 104. Suppose 0 = -4*a - 84 - o. Let u = a + 103. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: -171084 divided by -28514\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 15 + -10. Let m(v) = -v**2 + 15*v + 27. Let i be m(19). Let y = i - -53. Solve -y*p - x = -10, -p + 18 = -d*x + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(h) = 35*h - 7 - 5 + 2*h**2 + 15 + 17. Let l be s(-17). Solve 4*j + 7 = l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*z + 9 = -2*z. What is the units digit of ((-12)\/(-9))\/(1\/z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is 374634a + 6?\nAnswer: 3746355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*r + 0*r + 6*r**2)*(6*r**2 - 5*r**2 + 3*r**2).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let y(s) be the first derivative of s**3\/3 - 12*s - 12. Let b be y(3). Let i be (b\/6)\/((-2)\/4). Solve i = c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 3 + -3. Let v(q) = -q**3 - q**2 + q - 10. What is v(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -45670 rounded to the nearest 1000?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between 0.62 and 216902721276?\nAnswer: 216902721275.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 93 + (-1 - 6) + 3 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 50 minutes after 12:33 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of -23, -49, -89, -143, -211, -293?\n\"Answer: -7*d**2 - 5*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Does 1461 divide 420058832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Multiply 0.08 and 7530.\nAnswer: 602.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in -169, 781\/19, 0?\nAnswer: 781\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -58 = -17*v + 112. What is the remainder when 368 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-3 + sqrt(153) + -4 - sqrt(153) - sqrt(153)) + 3*(1 + sqrt(833)) + sqrt(833))**2 + 5 + -5.\nAnswer: -200*sqrt(17) + 10641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is 76 + 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -10643 + 10655. Suppose 4*p - 230 = p + 4*d, 5*d = -2*p + 115. What is the lowest common multiple of b and p?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(f) = -f + 13. Let a be x(13). Suppose 2*w + 3*v - v = 902, a = w + 3*v - 461. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4*-4*(sqrt(396) + -1*sqrt(396)*4 + 3*sqrt(396)*3)*-5.\nAnswer: 2880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*w + 0*w - 2*w)*(-w + 138*w**2 + 149*w**2 - 302*w**2).\nAnswer: 60*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 2*d**3 + 33178*d**2*i**3 + 2*i**3 - 107*i**2 + 40*i + 1 wrt d?\nAnswer: 6*d**2 + 66356*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((z*z*z\/(z**1*z*z)*z*z)**(-1\/33))**(1\/40) assuming z is positive.\nAnswer: z**(-1\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is (-40)\/275*(-2 - (-9)\/(-108)*6)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -212*t**4 + 212*t**4 - 20*t**5 + 15*t wrt t.\nAnswer: -400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -u = -z + 4*u, 0 = z + 4*u. Let m = -4 - -3. Let s be (-12)\/(-9)*(m + 4). Solve s*h - 24 + 4 = z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-8)\/(-16))\/(5\/(-8)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*o + 0*o = -5*c - 36, 4*c + 32 = 4*o. What is the third biggest value in o, -0.025, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in 57.9071l?\nAnswer: 57907.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) -2\/131 (b) 0.644 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) 1\/12 (b) 4 (c) 0.15 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Solve -7*d + 9 = 30 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -461? (a) -0.2 (b) -3 (c) -40.99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 332702 and 314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 13 - 25. Let r = 17 + n. Suppose 5*m - 7 = -2*y, 3 + 5 = 3*m + r*y. Calculate the remainder when 1 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(g) = -10779*g**3 - 21*g**2 + 55*g + 306. Is x(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is -23 + 240335000?\nAnswer: 240334644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:43 AM and 10:14 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -194 - -1061. Round w to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((sqrt(80)*2*-6 - sqrt(80))*5 - (-2*(sqrt(5) + 4) + sqrt(405) + 3))*-4)**2.\nAnswer: -42720*sqrt(5) + 5703520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*x + 20094032 = -3*v, 4*v + 2*x + 33490047 = -v. Let l = -11298009 - v. Round l to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4 - 2 = -3*s - 3*g - 12, 21 = -3*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Expand -6*m**2 + 4*m**2 + 0*m**2 + (1 - 2 + 3)*(6*m**2 - 2*m**2 - 2*m**2) + 0*m**2 + m**2 + 2*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let q(s) = -2*s**3 + 19*s**2 + 10*s + 4. Let f be q(10). Solve -33 = 5*t + f*b, -2*b + 1 = -2*t + t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(z) = 0*z**3 - z + 2 - z**3 + 1 + 0*z. Let o be j(-3). Let i = -10 - -13. Calculate the highest common factor of o and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify x\/(x**(-14)\/x)*x*x*x**(-11)\/x*x assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: How many hours are there in 19\/4 of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let b(x) = -x**3 + 184*x**2 - 1891*x - 1420. Give b(173).\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -n - 3*c - 8, 2*c + 8 + 4 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let q(p) be the first derivative of 6 - 2*p + 0*p**2 + 3\/40*p**5 + 7\/24*p**4 + 1\/6*p**3. Let o(a) be the first derivative of q(a). Factor o(r).\nAnswer: r*(r + 2)*(3*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(p) = -2*p**3 - 67*p**2 - 48*p - 471. Give m(-33).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 9*p = -p + 1380. Suppose p + 239 = 13*u. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -86*o - 403 = -117*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -0.2 + 0.4. Let t = 0.3 - v. Is 1 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(j) = -5*j - 1. Let m(a) = -2*a. Let f(i) = 6*m(i) - 2*q(i). Let h be f(6). Is h > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 14 divide 1876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (y**4*y\/((y*y**(-20))\/y*y)*y)**(-20) assuming y is positive.\nAnswer: y**(-500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let z(t) = -t**2 - 4*t - 2. Give z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Product of 2.18860421 and 1.\nAnswer: 2.18860421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 453*w = -d + 450*w + 293, 4*w = d - 328. Solve d = 63*l + 56 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 301.01 - 301. What is r rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -3, 2, -6, 4, -65, -4 in descending order.\nAnswer: 4, 2, -3, -4, -6, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -73\/1214 and 25\/8.\nAnswer: 4856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -m - s = -3, -m + 5*m - 30 = 2*s. Let d(n) = n**3 - 5*n**2 - 6*n + 6. Let r be d(m). Let t = r + -5. What is the smallest common multiple of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -22.2 + 14. Let z = u + 11. Let v = z - 3. Which is smaller: -1\/4 or v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -56*o - 24*o - 5 + 10 - 5*o - 5 + 89*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 1 - 6. Let r be ((-70)\/55)\/(-7)*1. Which is the nearest to 1? (a) s (b) r (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 4d6cc (base 15) in base 7?\nAnswer: 2051535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {j: 2, q: 1, a: 1, b: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let h(l) = -24*l. Suppose 4*x = 75 + 1. Let m = x - 14. Calculate the remainder when h(-1) is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 0*c**2 + 13*c**4 + 190*c**3 + 2 - 2*c - 91*c**3 - 100*c**3 - 3*c**2 + c in the form i*c**3 + s*c + h*c**4 + j*c**2 + o and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -1 in 0.3, 0, -4, 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 13916683 and 15?\nAnswer: 208750245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 1702978, 3405953, 5108926, 6811897, 8514866, 10217833?\nAnswer: 11920798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is -11 < -10777\/1005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Total of 0.06 and -38079.\nAnswer: -38078.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let s(p) = p**3 - 14*p**2 + 34*p + 18. Determine s(11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 2 in 3\/8641, -1\/2, 4?\nAnswer: 3\/8641","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Solve 6 = 2*q + 2*z, 4*z + 4811 = 4803 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -186893 - -383226. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 392 is divided by 107?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -0.07? (a) -2\/19 (b) -0.07 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*t + d + 0*d = -124, -112 = -4*t + 4*d. Suppose -5*p + t = -2*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -2*x**4 + 30*x**4 - x**4 + (15*x - 2*x - 8*x)*(-5*x**2 - 3*x**2 - 2*x**3 + 5*x**2) in the form j*x + q*x**3 + p*x**4 + a*x**2 + k and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -0.01? (a) -3.3 (b) 1\/8 (c) -310\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 3869139 is divided by 2057.\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Put 5, -44\/9, -3 in ascending order.\nAnswer: -44\/9, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 37709182 is divided by 2776.\nAnswer: 2774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is (-6)\/8 - ((-36)\/16 - -2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 7*z**2 + 52*z**2 - 156*z**2 + (z - 2*z + 0*z)*(-17*z + 27 - 27).\nAnswer: -80*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (4*(-1 + 0 + -5*(sqrt(300) + 0)*-2*-3) + -5)**2.\nAnswer: 21600*sqrt(3) + 4320081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from sdyenndeessseess. Give prob of sequence ne.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 81\/2 and ((2 + 2)\/8)\/((-40)\/(-226)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*h + 68 = 3*z, -3*z - 246 = 3*h - 294. Let n(x) = x - 1. Let y be n(3). Solve -a + 2 = -2*p - 3, -y*p - 4*a - h = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 910 = 11*f + 15*f. Calculate the greatest common divisor of 20 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 1013299753 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -240.11 + 229.841. Round y to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 29634 divided by 9878.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 81502 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let x(o) = o**3 - 5*o**2 - 2*o + 9. Let z be x(5). What is the nearest to z in -0.3, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-3)\/(-2))\/((-2)\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Add together 2253 and -0.5.\nAnswer: 2252.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let u(p) = -25*p**3 - 16*p - 1. Let x(t) be the first derivative of -5*t**4\/4 - 3*t**2\/2 - 575. What is 2*u(z) - 11*x(z)?\nAnswer: 5*z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let c(y) = -3*y + 18. Let p(r) = 3*r - 18. Let s(d) = 3*c(d) + 4*p(d). Let k be s(6). Let w = 0.3 + -0.2. What is the nearest to k in 0.5, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {z: 5, c: 1, l: 11, n: 3}. Give prob of picking 1 l and 1 n.\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-3)\/12*4 - 3*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -0.06974 - -0.16974. Which is the closest to x? (a) -5 (b) 0.2 (c) -112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -0.33 - -0.03. Let u = 481\/8 - 60. Which is the third biggest value? (a) u (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(m) = m**2 + 4*m - 2. Let p be o(-4). Let h = -1 - 1. Is h at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(z) = 23*z + 12. Let c(o) = 1. Determine 6*c(b) - r(b).\nAnswer: -23*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let w be ((-6)\/(-15))\/(0 - -1). Let p = 260 - 781\/3. Is w at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4 = -4*f, 6*m + 5*f = 11*m + 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from tvktvtttrtvrrztyzr. What is prob of picking 1 t and 1 r?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 281408.\nAnswer: 2, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.000004813619 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Sort -10\/11, -2, -61.333 in descending order.\nAnswer: -10\/11, -2, -61.333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (5*(((-1*sqrt(495) - sqrt(495)) + sqrt(495))\/sqrt(11) + sqrt(45)) - ((6*sqrt(55)*-1)\/(-4*sqrt(11)*-2))**2) + 3 + -3.\nAnswer: -45\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let x(t) = -79*t. Let l(r) = 8*r**2. What is l(x(d))?\nAnswer: 49928*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -h - 3*l = -0*h + 2, -2*h - 2*l + 4 = 0. Suppose -h*d = -0*d. Is -2\/7 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 28\/2679 and -85\/2289652?\nAnswer: 6868956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -33676, -32897, -32120, -31345, -30572, -29801?\nAnswer: -29032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 254 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let o(c) = 11*c**3 + 2*c**2 + c. Let f be o(-1). Let g = f - -10. Sort 2, -2\/5, g in ascending order.\nAnswer: -2\/5, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of -0.1 and 1614318.\nAnswer: -161431.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 6*i + 260591 - 3*i - 260591 - i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-4)\/(-5)*95\/(-38).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Factor -v**2 + 176*v - 7744.\nAnswer: -(v - 88)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 27456651.\nAnswer: 3, 419, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*k + 3583 = -4347. Let f = 2232 - k. What is the highest common factor of 17 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 210 - 205. Suppose r*u - 1251 + 296 = 0. Is 26 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 367468*y**3 + 4*y**2 - 3987883*y - 1?\nAnswer: 2204808*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -85\/162 and -127\/9998262.\nAnswer: 29994786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from vvvvvtvvvtttvvtv. Give prob of sequence tt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 1942 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is (-4 - (-7 + 5)) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 2005222 to the power of 1\/2, to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 13269 and 8.\nAnswer: 106152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of -10169, -10154, -10127, -10082, -10013, -9914?\n\"Answer: x**3 + 8*x - 10178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1400096?\nAnswer: 2, 43753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (6 + -14)\/(-2)*-2. Let o(k) = k**3 + 9*k**2 - 6*k - 75. What is the remainder when 145 is divided by o(m)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(y) be the third derivative of y**2 - 1\/24*y**4 + 0*y + 0*y**3 + 0. Let i(q) = -10*q**2 + 6*q**2 + 3*q**2. Calculate b(i(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is -7935 divided by 115?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 119075 and 550?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 456160 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 44\/3 and 61\/226280460?\nAnswer: 226280460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is 384612601 a multiple of 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 208 is divided by 74?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -24*j = -2899 - 485. What is the remainder when j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 630*h*u**2 + 1936*h*y**3 - 9595*u**2*y**2 + 7*y**3 with respect to h.\nAnswer: 630*u**2 + 1936*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 0*2\/(-4 - -8). Suppose 0*z - 8*z + 16 = w. Solve -2 = -i + z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -0.0229 - 1.9771. Let v = -144 + 142. What is the nearest to h in 1\/3, v, 0.04?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(x) = -250*x - 2416. Give o(-34).\nAnswer: 6084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let o(q) = -q**2 - 5*q + 2. Let v = -8 + 2. Let f be o(v). Is 15 a factor of 3\/f*(-36 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(c) = -c**2 - 4*c + 2. Calculate l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -0.1 + 3.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let y(s) = -12*s**3 + 6*s**2 + 10*s - 12. Suppose -4*o = -5*p + 36, -5*o + 2*p = -2*o + 20. What is the units digit of y(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 21*a**3 + 17*a**3 - 36*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 10021.\nAnswer: 11, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -15 in 5, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*a = -2 + 18. Suppose -w - 259 = c - 2*c, 0 = -3*c + a*w + 782. Suppose r = -4*b + b + c, -2*b + 166 = -r. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (-2)\/5 + 46\/115. Suppose r = 5*y - 2*s - 25, -y - 5 + 10 = s. What is the nearest to -1\/2 in 2\/9, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -481, -1745, -3847, -6787, -10565, -15181?\nAnswer: -20635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 8 (c) 2\/3 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (g**(-1)*g**(-6\/5))**13*(g**2\/g)\/g**(1\/3)*g**5*g*g**(-2)\/g assuming g is positive.\nAnswer: g**(-374\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 155 = -4*b + 655. Suppose 0 = 4*t - b - 275. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is 2 + 52134?\nAnswer: 52136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Sort 26, -2, 4, -10648, 0 in ascending order.\nAnswer: -10648, -2, 0, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 852941309?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -9\/1394723 and 21\/12463?\nAnswer: 15341953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is -4 - -831.8?\nAnswer: 827.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*p + 6*o + 35 = 4*o, -23 = -3*p - o. Let c be 3*(6 + (-3)\/p*-1). What is the third derivative of -128*d + 33*d**2 - c*d**4 + 128*d wrt d?\nAnswer: -456*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 62627, 250422, 563429, 1001660, 1565127?\nAnswer: 2253842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*s - 2119 = 2*c, -2*s = s + 3*c - 1284. What is the remainder when s is divided by 155?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 161*s + 1 + 344*s + 253*s.\nAnswer: 758*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is 22176 divided by 176?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 41996.\nAnswer: 2, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 110 divided by 771.\nAnswer: 110\/771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -0.0331 - -0.0331. Sort 2, a, -731 in ascending order.\nAnswer: -731, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 27\/2 of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let k(b) = -b**3 + 11*b**2 - 23*b - 5. Determine k(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the cth term of -92576699, -92576698, -92576697, -92576696, -92576695?\n\"Answer: c - 92576700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (-1 - -1)*1\/(-2). Suppose -3*q - s = -5*s + 315, -q + 3*s - 110 = b. Let u = q + 182. What is the highest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.17 (c) -2\/7 (d) -2 (e) 81 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*a + 6 - 16. Solve 2 - a = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-3*l**2 - 2*l**2 + 4*l**2)*(-2 - 160*l**2 + 1 + 162*l**2) to f*l**4 + t*l**3 + c*l**2 + o*l + d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: -4 times 0.0677979\nAnswer: -0.2711916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let x(g) = -5*g + 35. Let j be x(12). Let l be 8 - j\/15*-3. Suppose l*z = 0, 2*t + 3*t - 50 = -2*z. Solve -4*w + 2*f - t = 0, -w - 15 = -2*w + 4*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -p = 5*d - 14, 2 - 6 = -2*d. Let v(o) = -o**2 + 5*o - 4. Give v(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 4, 33, 76, 133, 204?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let h(u) = u + 7. Let y be h(3). Find the third derivative of -d**2 - 5*d**4 + y*d**4 - 2*d**2 wrt d.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is 2897 + 4?\nAnswer: 28a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let u(s) be the second derivative of -1\/4*s**4 + 0*s**2 + 3\/100*s**5 - 7*s + 2\/5*s**3 + 0. Factor u(c).\nAnswer: 3*c*(c - 4)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 1339275, 2678552, 4017829, 5357106, 6696383?\nAnswer: 8035660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*c - 2*i - 12 = 0, 5*c - 341 + 357 = -2*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let r(t) = t. Let m(w) be the first derivative of -w**6\/120 + 3*w**3 + 7. Let z(k) be the third derivative of m(k). What is z(r(o))?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from dtdd. Give prob of picking 3 d.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let b(z) = z. Let k(v) = 10*v**2 - 6*v + 1. What is 5*b(o) + k(o)?\nAnswer: 10*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is 5528723 to the power of 1\/2, to the nearest integer?\nAnswer: 2351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -4*y**2 + 55*y**2 - 20*y**2 - 2*y**3 + 17*y**2 to the form g + m*y + s*y**2 + x*y**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Expand (k**3 + 2*k**3 - k**3)*(-5 + 5 - 6*k - 7*k + 121 - 121 + (-2 - 1 + 5)*(-3 + 3 - k) - 2*k - k + 4*k).\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let p(t) = 109*t**2 + 9088*t + 18164. What is p(-2)?\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Sort 10, -2, 4 in descending order.\nAnswer: 10, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let b(s) = -3*s**3 - 2*s**2 + 2*s + 537. Let k(a) = 14*a**3 + 9*a**2 - 9*a - 2147. What is 18*b(q) + 4*k(q)?\nAnswer: 2*q**3 + 1078","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 56516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 19*v**2*y**3 + 2*v**2*y**2 - 2596*v**2*y - v*y - 159*v + 441*y**3 wrt v.\nAnswer: 38*y**3 + 4*y**2 - 5192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Is 14 a factor of 1893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let t(g) be the second derivative of g**4\/12 - g**3\/2 + g**2\/2 - 21*g. Let j(z) = -2*z. What is the lowest common multiple of t(5) and j(-3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 2\/75 of a hour in seconds?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -145 + 144.9999882. What is j rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-23)\/5 + 2\/(-5). Let h = -3 - j. Solve -3*c = -h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of 2700*z + 2127?\nAnswer: 2700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of 48, -91, -256, -459, -712, -1027, -1416, -1891?\n\"Answer: -2*w**3 - w**2 - 122*w + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Factor 3*k**3 + 459*k**2 + 14193*k - 268671.\nAnswer: 3*(k - 13)*(k + 83)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*g - 8 = -260. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -62\/3 and 149\/366.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 388 and 291?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 1.298 + -1.33. Let v = b - -0.03277. What is v rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-11212*l**2 + 10 - 10 + 5089*l**2)*(2*l**2 + 1 - 1) + (-3*l**3 + 5*l**3 - 3*l**3)*(-1 + 2*l + 1).\nAnswer: -12248*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {i: 4, z: 7}. Give prob of picking 2 i and 1 z.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1634*t - 57684 = -114*t for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 694488*r**2 - 7*r + 8 wrt r?\nAnswer: 1388976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 34600 - 1729929\/50. Calculate the common denominator of (-5)\/(-15) + 92\/150 and w.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -917, -1216, -1657, -2240, -2965, -3832, -4841?\nAnswer: -5992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 2 and 31366920.\nAnswer: 31366920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1013431432 divided by 1.\nAnswer: 1013431432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Expand -2*t + 3*t - 2*t + (-1 + 1 - 2)*(-1 + 1 + 2*t) - 3*t + t + t + (3 - 1 + 0)*(6 - 4*t - 6) + t - 5*t + 5*t + (-2*t - 3 + 3)*(-3 + 4 - 2) + 27 + 8*t - 27.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 4303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let r(x) be the first derivative of -x**3 + 6*x**2 - 12*x - 9. Suppose r(u) = 0. Calculate u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(u) = 778*u + 63785. Give o(-82).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 79515 and 837?\nAnswer: 79515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*n + 5*o = -16, -5 = -3*n - 57*o + 59*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 43*x + 13 - 99 = 0. Solve -7 = x*z - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -66 + 143 + b**5 - 76 + 724*b - 108*b**4 wrt b.\nAnswer: 20*b**3 - 1296*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 1.6, 0.3, 0.5, 4, 3 in decreasing order.\nAnswer: 4, 3, 1.6, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 39778*g**5 - 34390*g.\nAnswer: 795560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let x be ((-36)\/(-10))\/((-45)\/(-300)). Suppose 2*w - x + 20 = 0. Suppose -4*q + 30 - 3 = f, -2*f + 48 = w*q. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 77984041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -0.1 - -0.4. Let v = -16371.1 - -16370.6. Which is the second smallest value? (a) 0.09 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -23009301\/8 - -344749207\/120. Let c = 3252 + s. Calculate the common denominator of 61\/15 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-9)\/1596*(-8645)\/(-2730)?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 632 + -632.1. What is the second smallest value in 0.3, 13, 2, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 12 = 6*g - 10*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -42*b - 39003 + 41271 for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -45 + 46. Let u be (y\/2)\/(12\/48). Which is greater: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 u, 1 b, and 1 h when three letters picked without replacement from bbbqbuqbbbhhubqbuz?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: 1 + -2535624352\nAnswer: -2535624351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 547 and 9474587.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*n - n + 2 = 0. Put n, -5, 5 in increasing order.\nAnswer: -5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 28538.9 or -9\/4?\nAnswer: 28538.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 145366942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 13*j - 14*j - 3*g = -295, -4*j + 1163 = -5*g. What is the greatest common factor of 73 and j?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(b) = -b**3 + 7*b**2 - b + 5. Let h = -3 - -10. Let t be y(h). Let x be 29\/9 + 2\/(-9). Put x, t, -3 in decreasing order.\nAnswer: x, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 170474914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {o: 4, u: 6, b: 1, j: 3, g: 2}. Give prob of sequence gb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (h*(h\/(h\/(h\/(h\/(h\/(h**1\/h)*h)*h))*h))\/h)**(8\/7) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 6 - (-23 + 28 + -5 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1 + 2 + 0)*(-2*v**2 + 4*v**2 + 0*v**2) + (0 + 3 - 1)*(7*v**2 + 174 - 174) + 3*v - 3*v + 2*v**2 + (-1 + 1 + v**2)*(-4 + 2 + 1).\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 1937 and 3133.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-23 + 7)\/(-528)*18\/1.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -54 - -215\/4. Let a = 28\/29 - 23\/174. Let v = 97\/102 - a. What is the nearest to 1\/4 in -4, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -1370 divided by 137\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (((-2)\/(-1))\/8)\/(823\/4115)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*o + 0 = 10. Suppose -o*m = -153 - 202. Let u = -14 + m. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -5*x - 5*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 54 and 189090.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 491 minutes before 9:22 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 26261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let s(x) = 3*x**2 - x**2 + 0*x**2 - x**3 + 4*x. Let a(q) = -2*q**3 - 21*q**2 + 12*q + 14. Let m be a(-11). What is s(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 982?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -596399\/1775 + 336. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -12870, 2\/3, -0.16 in ascending order.\nAnswer: -12870, -0.16, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: ((-44)\/33)\/(14\/(-3))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -83*k + 1018 + 15997 = 0. Solve 2*u + 3*x = -5, k*u - 2*x - 14 = 201*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of -3, 13, 39, 75?\n\"Answer: 5*r**2 + r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 333 or 334?\nAnswer: 333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1599677.\nAnswer: 1599677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (-4)\/26 - (-134)\/26. Put k, 11, -1\/5 in descending order.\nAnswer: 11, k, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(w) = w**3 - 13*w**2 + 4*w + 26. What is z(13)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 2195047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 15144245605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 2188607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let v(w) = -w**2 + w - 1. Let t(y) = 7*y**2 + 5 + 60*y - 65*y**2 - 20*y - 18*y**2. Let i(n) = -t(n) - 5*v(n). What is the second derivative of i(q) wrt q?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 283725151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -2112 + 2145. Calculate the remainder when 560 is divided by s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3181*s - 24804 - 105617 = 0 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 5 + ((-6*2*sqrt(70) - sqrt(70)) + sqrt(70) - (-3*(sqrt(70) + sqrt(70)*-1 + sqrt(70)) - sqrt(70)))\/(((-1*sqrt(600))\/sqrt(10))\/sqrt(6)) + 2.\nAnswer: 7 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 2966 is divided by ((-96)\/12)\/(-6 - 96\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from gefegegyfqqfgffegejg.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 32, 157, 356, 629, 976?\nAnswer: 1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*b - 8*b - 12 = 0. Sort -1, b, 1, 5 in increasing order.\nAnswer: b, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is 8 + 150?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*z - 3*q = -q + 2, q + 2 = 3*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 5513463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Is 6\/6683 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*n - 17 = -2*a + 4, -3*n + 27 = 4*a. Let z = 1230 + -1226. Put a, z, 2\/3 in descending order.\nAnswer: z, a, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 11\/2329370 and -91\/192?\nAnswer: 223619520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 42*c - 38*c - 21 = 3*x, x = 2*c - 7. Let i(v) be the first derivative of -26 - 2\/51*v**3 + c*v + 3\/17*v**2. Factor i(u).\nAnswer: -2*u*(u - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 38*r + 11 + 65 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -3*k**2 - 27*k**3 + 3*k**2 - 252782*k + 24*k**3.\nAnswer: -3*k**3 - 252782*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 3194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 29668950 and 1350?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-2 - 8*t + 3 + 18*t)*(0 + 1 - 4) to the form l + y*t and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 2565*p - 3505*p + 40*p - 3247*p - 3392*p.\nAnswer: -7539*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} -{"text":"Question: Does 21 divide 4255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is 17463442 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 1085580782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of -9882, -46511, -107560, -193029?\n\"Answer: -12210*m**2 + m + 2327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 82 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is -6 + -7 + -3 + 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let u(r) = 23*r - 29. Let m be u(2). Which is bigger: -0.5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -40 - -39. Are k and 0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d be (-3)\/12 + 70\/(-8). Let o = d - -13. Let h = o + 81. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*p - 4, 5*c - 2*c - 19 = -2*p. Calculate the greatest common factor of 80 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -56541556 or -56541577?\nAnswer: -56541577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -1505, -3566, -7001, -11810?\nAnswer: -17993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 56 and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let p be ((-24)\/(4 - 10))\/((-2)\/(-24)). Suppose -4*f + 150 = -2*r, 10*f - 3*r = 11*f - p. Is f less than or equal to 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 36*a + 342650 = 47*a. What is a rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -r**4 - 1766322*r**3 + r - 5216828.\nAnswer: -4*r**3 - 5298966*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: ((-11)\/(88\/96))\/(-252*(-48)\/1296)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Express (-9*p**2 - 588 + 588)*(2 - 2 - p)*((-1 + 0 + 0)*(3 - 3 - 2) - 1 + 1 + 3 + 0 + 3 - 1) as q*p**3 + a*p + k + h*p**2 and give q.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let j(h) = 13*h + 110. Let x(r) = -7*r - 58. What is -3*j(q) - 5*x(q)?\nAnswer: -4*q - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Express -277*q**3 + 131*q**3 + 145*q**3 - 55*q**2 + 12*q**4 in the form a*q + d*q**4 + z*q**2 + m + v*q**3 and give z.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-80)\/(-15) + 2\/3. What are the prime factors of 8 - (o + 0)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -4*s**2 - 39032*s + 45488480.\nAnswer: -4*(s - 1052)*(s + 10810)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) - (sqrt(19) + 0 - sqrt(19)))*1)**2 - (sqrt(19) - -1*(sqrt(19) + sqrt(475) + sqrt(19) + sqrt(19)))**2)*4.\nAnswer: -6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Convert 569.5669ug to milligrams.\nAnswer: 0.5695669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let i be -5 - (0 - (-1 - -2)). Which is bigger: i or -19\/5?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(d) = 4*d + 5. Let z(u) = -3*u - 3. Give 7*r(b) + 6*z(b).\nAnswer: 10*b + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 8 - 12. Let h = j + 26. Calculate the smallest common multiple of h and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (3*sqrt(19) + 5 + -1*sqrt(76) + sqrt(19) + -5)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let z(c) = c**2 + 109*c + 2652. What is z(-39)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 1.3 less than -91.27?\nAnswer: -92.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 302 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 286?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*w - h - 8 - 9, 0 = -2*w + 2*h + 10. Suppose 3*b - w = 5. Suppose -b*i = 3, a - 32 = -2*a - 4*i. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(p) = p**2 + 2*p - 24. What is the remainder when k(-11) is divided by 3 + 27 + 12\/(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 210010 and 11781561?\nAnswer: 117815610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) -115 (b) -1\/280 (c) 2 (d) 175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 59422 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: In base 4, what is -302 + -1001121?\nAnswer: -1002023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let i(x) = -259*x - 102. Let z be i(0). Let g(u) = u**3 + 17*u**2. Let m(o) be the first derivative of -o**3\/3 + 6. Determine z*m(n) - 6*g(n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Solve k = 2*o - 9, 88 = -4*k - 2*k - 4*o + 66 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -1719.618 and -2?\nAnswer: 3439.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 15 - 13. Suppose m = y*m. What is the second derivative of -i**2 - 3*i**2 + 5*i + m*i wrt i?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -127*x = -154*x - 297 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*s - 3 - 4 = 2*i, i - 4*s + 8 = 0. Suppose 0*t = i*t - 92. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (-4 - -8) + 2 + -1. Suppose 279 + 11 = q*b. Calculate the remainder when b is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(t) = -t**3 - 2*t**2 + t + 2. Calculate r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 13474, 53923, 121338, 215719, 337066?\n\"Answer: 13483*v**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (0 - 0)\/1*36\/(-72).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 15*z = -14 + 59. Let g(t) = 3*t + 1. List the prime factors of g(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(a) = 5*a + 1. Let r(d) = -36*d + 154. What is -14*m(s) - 2*r(s)?\nAnswer: 2*s - 322","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 539556.\nAnswer: 2, 3, 44963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: 1038\/(-506) + (-4)\/(-22) - (-33 - -31)\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (1\/2 - -1)\/((-8)\/(-832)). Let t = -111 + x. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -6 + (-6 - -10) + 8 - (1 + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 246278 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: Let f = -32 - -54. Suppose -25*h = -f*h + 21930. What is h rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (11 + -4)*-1*(-6)\/7. Suppose y - 8 = 4*w, 0 = -2*y + 2*w + w + m. Let n be (y - -3 - 2)*5. Solve 0*g = -g + 5*h + 24, n*g = 5*h + 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 2046\/42 + (-212 - -211)\/(7\/(-2)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: -3891379 times 0.18\nAnswer: -700448.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is -108896.19 take away 112.3?\nAnswer: -109008.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 7 + 52. Let k = j + -58. List the prime factors of (k*(-58)\/1)\/(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(g) = -g**2 + g - 2. Let c(x) = x**2 - 8*x + 4. Let l be c(7). Determine a(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (f - 4*f - 19*f)*(-2*f - 2*f + f) + 3*f - 3*f + 3*f**2.\nAnswer: 69*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*t - 2*w = 3*w + 18, 20 = 4*t - 4*w. What is the least common multiple of t and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -81*j**3 + 63*j**3 - 61*j**3.\nAnswer: -79*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-6*(0 + -2*(0 + (-2 + sqrt(2) - sqrt(2) - sqrt(2)) + sqrt(2))))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -0.1 - -1.1. Suppose 0 = -2*q + 6 - 14. What is the closest to y in q, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(j) be the first derivative of 1 - j**2 - 2 - 2. Let b(s) = -2*s. Give b(g(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Determine u, given that -u**4 - 321*u**3 - 19258*u**2 + 1096836*u - 1077256 = 0.\nAnswer: -178, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 6 and 127128.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Put together 1332990631 and 3.\nAnswer: 1332990634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (6756\/8445)\/((-1)\/(5\/3)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Put -51, 4, 2 in descending order.\nAnswer: 4, 2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Find d, given that 5*d**4 - 15*d**3 - 30*d**2 + 140*d - 120 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 4*814\/(-8954)*253\/2.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) 12 (b) 217 (c) -39 (d) -4 (e) 7.8 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -281*y**2 + 79*y + 70*y + 170*y**2 wrt y?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(x) = 3*x. Let y(v) = -8*v**2 - 251. What is l(y(f))?\nAnswer: -24*f**2 - 753","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Sort 2, -6661, -77 in descending order.\nAnswer: 2, -77, -6661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the sth term of 5652, 5656, 5660, 5664, 5668, 5672?\n\"Answer: 4*s + 5648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 64695 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3481 = 60*x + 2761 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let r(q) = q**3 + 4*q**2 - 6*q - 6. What is r(-6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 145 minutes after 8:02 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -3 + 6. Suppose s + q*s = 92. Suppose 0 = 4*h + p - 0*p - 36, 0 = -h - 5*p + 28. Calculate the remainder when s is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1549 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -5 - -25. Let b = 17 - q. Sort 5, -10, b in decreasing order.\nAnswer: 5, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 984823 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let y(z) = 121*z + 4. Let o be y(-3). Let d = -2317 + 3595. Let h = o + d. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 71144 is divided by 901.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 171 and 351.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Is 29640755809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-2806)\/138 + 21)*(-162)\/(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: -3673 divided by -3\nAnswer: 3673\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 4962*u**2 + 55 + 5552*u + 3527*u**2 - 17 - 39 - 1 wrt u?\nAnswer: 16978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 22, 36, 8854 in descending order.\nAnswer: 8854, 36, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -24 in 0.5, -2\/11, -2\/9, 4, -1\/17?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -26 in -2\/19, -4381, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 52 and 2444.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: 4116\/1176*(150\/(-4))\/15\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -17 - ((-17 - -26) + (-4 - (-7 + 4)))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 3.401999l in millilitres?\nAnswer: 3401.999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -156*w - 125*w - 2860 - 3603 = 0 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let u(k) = -5*k**3 - 10*k**2 + 3*k - 12. Let l(a) = a**3 + a. Let o(f) = -6*l(f) - u(f). Let t be o(9). Is 1145\/6 - t\/(-72) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -0.08 + -16.92. Let g = b - -20. Is g greater than 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(r) be the second derivative of r**3\/3 + 3*r**2 + 4*r. Suppose -3*v = 2*v + 25. Let x be f(v). Put -3, x, 0 in ascending order.\nAnswer: x, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(p) = 190*p - 12. Let n be x(9). Let h = 153 + 62. Let a = n - h. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -11, -44, -151, -374, -755, -1336, -2159?\nAnswer: -3266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify h**0\/h**(1\/8)*(h*h\/h**0*h*h)**22 assuming h is positive.\nAnswer: h**(703\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2*((3 + (sqrt(171) - (1 + sqrt(171))) - sqrt(171)) + -2 + 6*((sqrt(171) - -2*sqrt(171))*-4)**2 + 0).\nAnswer: -6*sqrt(19) + 295488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from mymcloyd. What is prob of picking 1 y, 1 o, 1 m, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*w = -0*w + 129. Let f = -35 + w. Find the second derivative of 0 + 4*k + 8*k + 0 + f*k**2 wrt k.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 1.39757 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -0.79 - 2.21. Let p be -1 + -1 + (-84)\/(-44). Which is smaller: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0.7138 times -0.3\nAnswer: -0.21414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -29\/280138 and -8\/428190933?\nAnswer: 856381866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Product of 5 and 0.2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 13665843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {o: 1, x: 1, n: 1, g: 2, a: 4}. Give prob of sequence gon.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is -423.7658 rounded to 1 decimal place?\nAnswer: -423.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: (-190)\/380 + (-4)\/(-6)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: ((-7)\/91)\/(10\/2 + 1235\/(-260))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -16 = -2*v - 8. Suppose -5*k - 5*y = -830, 2*k = -0*k - v*y + 340. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(q) be the third derivative of -q**5\/15 + q**4\/6 - 9*q**2. Factor z(p).\nAnswer: -4*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 13930767.\nAnswer: 3, 157, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Express (137 - 97*d - 137)*(4*d**2 - 3*d**2 - 2*d**2) in the form z*d + b*d**2 + m*d**3 + w and give m.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is -5a2 (base 15) in base 16?\nAnswer: -4fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 8466*b + 146997 = -420225 for b.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of 245, 228, 187, 110, -15?\n\"Answer: -2*d**3 - 3*d + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Factor -10218144\/17*f**2 - 2\/17*f**4 - 4434653600\/17*f + 8910242464\/17 - 7832\/17*f**3.\nAnswer: -2*(f - 2)*(f + 1306)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of -5075477, -10150955, -15226433, -20301911, -25377389, -30452867?\n\"Answer: -5075478*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.0000817 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 61 a factor of 339953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is 35564 - -30?\nAnswer: 35604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is 107483940 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 577*l*p - 10*l - 8854*p wrt l.\nAnswer: 577*p - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 9435918.\nAnswer: 2, 3, 17, 79, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*u = 6*u - 2. Suppose u = 2*t - 3. Suppose -l = t*l - 39. Calculate the remainder when 37 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 660 minutes before 8:23 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(1584) - (sqrt(1584)*2 + -3)) + (sqrt(1584) - (sqrt(1584) - (1*sqrt(1584))**2)*2).\nAnswer: -24*sqrt(11) + 3171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let m(x) be the third derivative of x**5\/5 + x**4\/24 - 61*x**3\/6 + 18*x**2. Differentiate m(f) with respect to f.\nAnswer: 24*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(v) = 2*v**3 + 17*v**2 + 9*v + 19. Suppose -7*t + 15*t = -64. What is the remainder when 73 is divided by o(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(o) = -70*o - 357. Calculate z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let v(r) = 82*r + 995. Let x(d) = 226*d + 2986. Calculate -11*v(a) + 4*x(a).\nAnswer: 2*a + 999","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -60856 or -60855?\nAnswer: -60855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 118221810 a multiple of 1362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 457, 613, 873, 1237, 1705, 2277?\nAnswer: 2953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let a(s) = -3*s + 7. Let n be a(-9). Let r be (4 + -6 - 0) + 134. Suppose 4*p - r = c + 548, -c + 340 = 2*p. What is the greatest common factor of p and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {n: 2, f: 6}. Give prob of sequence fffn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 1 greater than or equal to 4\/1435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -56 + 73. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify a**38\/a*a*a*a**(-9\/8)*(((a\/(a*a**(-3\/13)*a))\/a)\/a)**(-11\/4) assuming a is positive.\nAnswer: a**(4731\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 3818345728?\nAnswer: 2, 14915413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 104 and 40066.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Round 23038780.6 to the nearest 10000.\nAnswer: 23040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -5 - -9. Suppose -p*v = -9*v - 20. Let c = v + 19. Solve -2 = -r, -c = -4*a + r - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(m) be the first derivative of -4*m**2 + 74. Let d(w) = -13*w**2 - 5*w - 5. Let q(g) = 6*g**2 + 2*g + 2. Let b(l) = 2*d(l) + 5*q(l). Give y(b(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Express 147 + 42*l - 1486 + 4*l**2 - 2*l**2 - 42*l in the form d + k*l**2 + o*l and give d.\nAnswer: -1339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: 2 + -4 + 2 - (0 - -1 - (-234 + 264))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -48, -82, -102, -108?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0.1? (a) 1\/10 (b) 6 (c) 47.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*x = -x - 25 - 1 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose q + 30 = -2*q. Find the common denominator of 49\/q + (-2)\/8 and 5\/4*1*(-2)\/7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 155*a = 349*a + 413*a + 39455 for a.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 2\/9? (a) -1\/8 (b) -2\/9 (c) -175527 (d) -1\/50 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (42\/147*2)\/((-14)\/49)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 3\/(((-12)\/15)\/(-4)). Let i = 3 - l. Let m be -1 - (-4)\/(i\/(-15)). Solve -m = 3*u + o, 4*o - 4 = 3*u - 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 22.090814 rounded to zero dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -2\/3 in 1\/4, 5, -1\/25, 1\/8?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of -92, -197, -150, 229, 1120, 2703, 5158, 8665?\n\"Answer: 30*x**3 - 104*x**2 - 3*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 56353110?\nAnswer: 2, 3, 5, 11, 170767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -718673*-0.1.\nAnswer: 71867.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Simplify n\/((n\/(n\/(n*n**(-1\/10)\/n)*n)*n)\/n*n)*(n\/n**2*n)\/n*n**(11\/3)\/n*n**(-1\/42)\/n assuming n is positive.\nAnswer: n**(61\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 1 - (-13 + 2) - (-13 + 18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 63 a factor of 120792168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 79046872 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 next in 655, 684, 723, 778, 855, 960, 1099, 1278?\nAnswer: 1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 3*z - 3 + 2*z + 0*z - 4*z to k*z + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -290 or -292?\nAnswer: -292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 2 - 0. Let i be (-3 - 44\/8) + 4. Let o = i - -5. Which is bigger: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 782 (base 9) to base 10.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is 46500 - -53324?\nAnswer: 133124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 7003911.\nAnswer: 3, 673, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -1 or -2243500?\nAnswer: -2243500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the yth term of 1564, 1563, 1562?\n\"Answer: -y + 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 123 - (22 - 1226)\/(-14).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(z) = -z**3 - 34*z**2 + 66*z - 14. Let k be u(-36). Suppose -50 = 8*w - k. Calculate the remainder when 4\/(-6)*-111 + -2 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 749376147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve -36*q + 23*q - 2*d = 59, -9 = 3*q + 2*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-37)\/148)\/((-14)\/32)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence wkw when three letters picked without replacement from wwwkkwwwkwwwwwww?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Put 0, 3, 6, 0.6, -5 in decreasing order.\nAnswer: 6, 3, 0.6, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (-7 - -11)*-1 - 6. What is the lowest common multiple of 8 and 4\/7 - ((-6236)\/14 - t)?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -43.18 bigger than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*h - 1 = o, -5*h + 11 = -4*o - 14. Let p = -6538\/19 - -344. What is the nearest to h in 0.5, p, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 33803583 a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-3*5\/30)\/(2\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let x(q) = -3*q**3 + 8*q**2 - 2*q - 3. Let a(j) = j**3 + j**2 - 1. Let w(b) = 2*a(b) - x(b). Let p(d) = -4*d**3 + 5*d**2 - 2*d - 1. What is -6*p(c) - 5*w(c)?\nAnswer: -c**3 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 3 bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let a(n) = n**3 - 5*n**2 - 7*n + 3. Let i be a(6). Let y = 8 + -12. What is the nearest to 1 in -2\/17, i, y?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*a - 25 - 35. Suppose 5*n = n + a. Find the third derivative of 4*u**5 - u**2 - 3*u**n - 2*u**5 wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (3 - -3 - 6) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -3 + 0 - (1 - 5) - (-33 - -16).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-105)\/12)\/((-490)\/(-1176)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in -450, 1, -4, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -18310*b**2 + 242 + 51 + 18215*b**2 - 293.\nAnswer: -95*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Does 6 divide 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Sort -836, 2\/5, -5 in descending order.\nAnswer: 2\/5, -5, -836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Is 11029284 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 5708794.\nAnswer: 2, 7, 13, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*z = -4*f + 35, -5*f = -3*z - 17 - 23. Let a be (-142)\/8*f\/(-10)*8. Let n = a - 71. Solve 3*w - 11 = 2*b, w + 3*w + 3*b + 8 = n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i be ((-4)\/(12 + -8))\/(15\/5). Sort 0.1, -47, i in decreasing order.\nAnswer: 0.1, i, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-57 - -54) + (0 - 1) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 195 and 5395.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Is 123840733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let q(v) = 2*v**3 + v**2 - 1. Let h be q(1). Suppose 17 = p + 5*t, h*t - 21 = -2*p - 3. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -21, -48, -93, -156, -237, -336, -453?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let t(b) = b**2 + 3*b + 3. Let s be t(0). Let a = s + -2. Suppose k + a = 8. What is the greatest common divisor of 35 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 3\/(2*27\/90).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of c**3*k**2 - 3*c**3 + 122*c**2*k**2 + 35*c*k wrt k.\nAnswer: 2*c**3 + 244*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: 2aa6 (base 16) to base 3\nAnswer: 112222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 4224310 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {e: 16, o: 4}. Give prob of sequence ooo.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 14235.\nAnswer: 3, 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -13892 - -102183. List the prime factors of h.\nAnswer: 7, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(v) be the third derivative of -15*v + 5\/6*v**5 + 0 + 13\/40*v**6 - v**2 + 0*v**4 + 0*v**3. Find the third derivative of s(i) wrt i.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 18 a factor of 16741628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: 415035245 (base 6) to base 15\nAnswer: 97e34e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 263881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let z(q) = -16*q**2 - 1073*q - 61. Suppose -7*j = -3*y - 3*j + 28, 3*y = -3*j + 42. What is the least common multiple of y and z(-67)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(b) = -20*b - 83. Let k be j(-9). Let d be 9*(55 + 0)\/(-5). Let o = k + d. Which is smaller: o or -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -13 in -2\/5, 17\/3, -0.64, 4.1?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.92 (c) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let y(z) be the first derivative of -393*z**4\/4 - 2*z**3\/3 - 237*z + 938. What is the third derivative of y(o) wrt o?\nAnswer: -2358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(o) = 7*o + 15 + 7*o + 101*o**2 - 42*o**2 - 47*o**2. Let h be w(-11). What is the second derivative of 1293*v - v**2 - v**2 - h*v wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose u - 200 + 41 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -4*(sqrt(15)\/(2*sqrt(3)*-2))**2.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -3*h - 10 + 17 + 29.\nAnswer: -3*h + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is 15817000 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 10643 is divided by 267?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of (-2)\/(-3) - 264\/1152 and -55\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 20 a factor of 17960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -112\/379 + -508\/3411. Which is the nearest to 21? (a) 1 (b) -0.5 (c) 0.2 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*j - 17*y = -14*y - 11, 0 = 5*y + 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let u(g) = -3*g - 10. Let o be u(-4). Suppose 4*w + 480 = 2*s + 188, o*s = -4*w + 292. List the prime factors of s.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 4 + -5 - (-17 + 9 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve -38 = 2*n - 5*i, 40*n + 74*n + 1398 = -5*i - 188 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Is 235217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 1216640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 153*d - 15*d + 140*d + 137*d to y + f*d and give f.\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let c(w) = w**2 + 4*w. Let t be c(-7). Let r(h) = 50*h + 806. Let j be r(-16). Suppose 5*f - t = -j. Solve -3*i - 12 = 0, z - f*i = i + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-1237 + 1237 - 25*z)*(-4 - 2*z + 4) - 3*z**2 + 1 - 1.\nAnswer: 47*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -504 = -145*h + 117*h. What is the remainder when 113 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -19016*u - 18859*u + 37876*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let k(j) = 436*j - 26572. Give k(61).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2691 is divided by 276.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -15 + 14.8. Which is the biggest value? (a) 0 (b) -78 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 2053*d - 3*d**2 + 7*d**2 + 2070*d - 4123*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 282 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from pttaatpapvttatv. Give prob of picking 1 t and 1 p.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is 44413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of 256, 511, 766, 1021?\n\"Answer: 255*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let s(j) = -13*j**2 + 8*j + 15. Give s(-3).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*s - 2 = -3*s - 2*n, -5*s - 3*n - 22 = 0. Sort -1, 22, s, -4 in descending order.\nAnswer: 22, -1, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (1 - (0 + 0))\/(18\/(-1548)). Let c = -86 - m. Suppose 3*r + 0*a - 2 = a, 0 = -3*r - 2*a + 14. Solve -u - r - 2 = c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-5 + sqrt(343)*-1*5*2 + -3)**2 + 5.\nAnswer: 1120*sqrt(7) + 34369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from ndxcxynaa. Give prob of picking 1 y and 1 c.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let h(u) = 9*u**5 + 12*u**4 + 12*u**2 - 9*u - 6. Let c(i) = 8*i**5 + 11*i**4 + 9*i**2 - 8*i - 5. Let t(s) = -6*c(s) + 5*h(s). Factor t(f).\nAnswer: -3*f*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-3)\/(-18)*84*104\/(-832).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 1078 and 441.\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange ((7248 - 3256 - 3280)*(-57 + 27 - 17) + 3 - 1 - 4)*(4*v**2 - 4*v**2 + 2*v**4) to i + h*v + a*v**4 + j*v**3 + x*v**2 and give a.\nAnswer: -66932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-2 + p - 2*p + 0*p)*(-12*p - 5*p + 14*p) to the form c*p + r*p**2 + w and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 16295493?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 82*r - 667232 - 755889 = 3929921. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w be ((-45)\/150)\/(((-6)\/(-8))\/(-1)). Suppose 0*q - 3*q + 21 = 0. Suppose -5*l = q + 8. Sort l, w, -0.3.\nAnswer: l, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -6*v + 8*v + 56. Let x = -25 - v. Let h be (-4)\/10 + (-4)\/(-10). Sort x, h, -1 in decreasing order.\nAnswer: x, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:30 AM and 9:34 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve 40 + 16*n - 175*n + 20*n**2 - 45*n = 0.\nAnswer: 1\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 2169 in -2\/11, 0.54, -5, -3, 2\/25, 0?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {f: 3, s: 2, k: 1, e: 2, d: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let s(x) be the third derivative of -1\/6*x**3 - 3*x**2 + 0*x**5 - 1\/70*x**7 + 0 + 0*x**4 + 0*x + 0*x**6. What is the first derivative of s(n) wrt n?\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -10*y - 1 + 3*y**4 + 9*y - 1 + 2*y**2 - 2*y**3 as r*y + h*y**2 + x + v*y**4 + z*y**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:00 AM and 6:39 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Does 6 divide 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is 12 a factor of 1148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 29\/284 and (222\/4)\/(24\/(-2) + -8).\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 3223 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let t(h) = -364*h + 4394. Let q be t(12). Solve 5*n + 15 = -15, -q = 4*p + n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 900 divided by 969\nAnswer: 300\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is 291 minutes after 1:04 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -r - a + 8 = 0, r - 7 = a + 7. Find the first derivative of -r - 21*k + 5*k + 22*k wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 792117 and 6573807.\nAnswer: 2547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 20*d = 1482 - 522. Let l = -53 + d. Put l, -1, -21 in descending order.\nAnswer: -1, l, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*y + 224 = -0*y. Suppose 6*l - 2*l - y = 0. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.5526644 nanograms in kilograms?\nAnswer: 0.0000000000005526644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 24297, 48600, 72903?\nAnswer: 97206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {d: 2, y: 4, h: 3, v: 2, n: 2}. What is prob of sequence nh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence qrwl when four letters picked without replacement from qwwllrwwllr.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Sort 2, 0, -965, 53, 5.\nAnswer: -965, 0, 2, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let c(p) be the second derivative of -p**3\/3 - p. Let j(g) = 4*g**2. What is c(j(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*v - 9 = 119. Suppose -5*f = c + c - v, -2*c - 4*f + 28 = 0. Find the third derivative of 3*j**2 - 9*j**c - 97*j + 97*j wrt j.\nAnswer: -1080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is -2024 + 3102242?\nAnswer: 3100213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is 274 minutes after 8:59 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let b(m) = 2*m**3 - 5*m**2 + 6*m + 8. Is b(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -9*l**3 + 406*l**2 - 202*l**2 - 204*l**2 + 16*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 42034405254 + 2?\nAnswer: 42034405300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let l(x) = 50*x - 1. Let q be l(-1). Let o = q + 109. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the seventh root of 22427542 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let x(c) = c**3 + 4*c**2 + 2*c. Let p be x(-3). Let f be (-2)\/(p\/6 + -1). Suppose w - 7 = -2*r, -f*w + r + 28 = 3*r. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -4 in -0.3797, 2, -17?\nAnswer: -0.3797","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose v = 2*v - 26. Suppose -71 = -4*j - 6*l - 93, -2*j - 29 = 5*l. What is the remainder when v is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((q\/q**(-1\/19))\/(q**(-10)\/q)*q**(-4\/7)\/(q*q**(3\/8)\/q))**(-5\/12))**(-1\/18) assuming q is positive.\nAnswer: q**(6565\/25536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let 49*u**5\/2 + 94899*u**4\/2 - 27117*u**3\/2 + 1937*u**2\/2 = 0. What is u?\nAnswer: -1937, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1728*m = -1509*m - 77688 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let h be 16\/(((-27)\/(-9))\/((-213)\/(-2))). Let f = h + -289. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1617160?\nAnswer: 2, 5, 40429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (17\/(2992\/40))\/((-15)\/(-6)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -26 = 5*p - 3*y, -4*p - 3*y - 10 = -0*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*c - 4 = 5. Is 829\/2*-2*c\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from rrrrrrrrr. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:37 PM and 2:50 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the ninth root of 26844 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Is 25 a factor of 32825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*f**2 + f**2 - 2*f**2)*(3 - 1 - 1) + (0 + 8 + 5)*(-84 + 84 - 21*f**2).\nAnswer: -274*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Round -7.252 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1294 divided by 1.\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let n(b) = b**3 + 28*b**2 - 60*b - 11. What is n(-30)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 1084926371*r - 155110775 wrt r?\nAnswer: 1084926371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 11854454?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let p(w) = w**2 - 4*w - 9. Let d be p(-2). Suppose 40*u - d = 37*u. Let y(f) = -f - 7*f**2 - u + 6*f**2 + f**3 + 0. Determine y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -257 - -264. Find the first derivative of 88*x**2 - 33 - 4*x**2 - i + 7*x**2 wrt x.\nAnswer: 182*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (1\/3)\/(3\/(-9)). Let a(v) = 29*v**2 + 2*v + 2. Let f be a(y). Suppose 0 = -x + 11 + f. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence vvx when three letters picked without replacement from vvvvvvvvvvvvvvxvxvvx.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let b be -2 + (-42)\/(-1 + -1). Let t = b + -12. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 4750.29*376.\nAnswer: 1786109.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -28*o + 29*o = 4. Suppose 0 = -o*q - 75 + 35. Let m(t) = 2*t + 15. Give m(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1011 (base 3) in base 14?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 3 in 2\/17, -3, 4450?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Express (34 - 34 - 8*w)*(-5*w + 26 + 38 + 4*w) as m*w**2 + k + q*w and give q.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let z(s) = -s**3 - 41*s**2 + 6803*s + 314138. Calculate z(-49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 3535\/82 - -16\/41. What is the common denominator of f and -20\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be 1*6*3\/24. What is the smallest value in -2\/9, 2, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 7? (a) -4\/3 (b) 0.4 (c) -4 (d) -7905 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 145502 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -0.1 in -2\/9, 209, -2\/3, 5, -889?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 1210 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 60 - (-40 + 100) - (1 + 0 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let o be 4\/(-14) + (-72)\/(-56). Let n be 2 - (o + 15\/18). Find p such that -n*p**2 + 1\/3 - 1\/6*p = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 6376*c**2 + 6371*c**2 - 12752*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (g**(-2\/47)*g*g*g**23)\/(g*g\/(g**(-17)\/g)*g*g\/(g\/g**(20\/3))) assuming g is positive.\nAnswer: g**(-382\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let f(x) = -103*x**2 + 63. Let z(a) = 3*a. Determine f(z(t)).\nAnswer: -927*t**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let m(y) = -y**3 + 3*y**2 - 4. Let v be m(-2). What is the remainder when (v\/5 + -2)\/(9\/330) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(y) = -y - 1. Let l(d) be the second derivative of 3*d**2\/2 + d + 12. Calculate -2*c(p) - l(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 7012208, 14024418, 21036628?\nAnswer: 28048838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: 21 - -1 - (30 - (-13 - -51))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 845336 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let l(m) = -m**3 - 6*m**2 - m - 4. Suppose -2*i - 20 - 4 = 4*t, -2*i = -t - 6. Let k be l(t). Suppose r**4 + 5*r**2 + k*r**2 - 4*r**2 - 4*r**4 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) 18 (b) 3175 (c) -2034\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is -903 + 881 + (-1 - -35) + -64?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from {k: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -38 (c) -1\/2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-7 - 2 - 1)*(d - d - 2*d).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 4387319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is (1\/23)\/(1202\/(-1078194))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*p = 4*p, 2*p + 200 = 4*i. Suppose -5*t = o - 10, -6*o + 2*o + 2 = t. Let a = o - -20. Calculate the greatest common factor of a and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from vovvvoovvovoooovo. What is prob of picking 3 v and 1 o?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 24\/161 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let g(x) be the second derivative of -533*x**4\/2 + 2*x - 2493. Let i(k) = -3*k. What is i(g(c))?\nAnswer: 9594*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Sort -34, -2, -135, 9, -5, -1.\nAnswer: -135, -34, -5, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is a4 - -9c?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Sum -1157618232699 and 0.29.\nAnswer: -1157618232698.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 1962 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -17\/72005 and 163\/1290.\nAnswer: 18577290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) -5 (b) -1\/106 (c) -2 (d) -2985\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 278153653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (6*q**2 - 10*q**2 - 5*q**2)*(-2*q + 0*q + 4*q) + 4*q**3 - 4*q**3 + q**3 to the form b*q + w + s*q**2 + n*q**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Sort 8, -56, 133, 1 in descending order.\nAnswer: 133, 8, 1, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 10*r - r + 12 = 3*r. Let y(c) = 113*c + 217. Determine y(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(w) be the first derivative of 3\/2*w**2 + 4\/3*w**3 + 7 + 3*w. What are the prime factors of y(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence yp when two letters picked without replacement from {t: 2, g: 6, p: 3, y: 4, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -110 + 120. What is the remainder when 87 is divided by 6\/z - 714\/(-85)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 4273 + -1841. Let l = -2431.013 + y. What is l rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of -19141, -76544, -172213, -306142, -478325, -688756, -937429, -1224338?\n\"Answer: r**3 - 19139*r**2 + 7*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: -2 - (-8)\/12*4\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is 5002 rounded to the nearest one hundred?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*h + 2 = -4*z - 0, -3*z = -3. Suppose s - 3 = -3*r - r, -2*r = 2*s - 6. Suppose r*g = 3*g - 6. Are g and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*w + w - 14 = 5*o, 0 = -4*w - 5*o + 7. Suppose -w*a + 138 + 147 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(r) = 71*r**2 - 6*r + 5. Let f be y(1). Let z be (-66)\/(-4) + 2\/4. Suppose 2*k - 11 - z = 0. What is the highest common factor of f and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (r\/(r*r**(-3\/5)*r*r))\/(r*r**1)*r\/r**(-5)*r*r\/(r\/(r**(1\/2)\/r)) assuming r is positive.\nAnswer: r**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let s(v) = -8*v + 1. Let r(f) = 5*f - 1. Let q(o) = 5*r(o) + 3*s(o). Let h = 5 + -12. Determine q(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 2148960*s*w**5 + 2*s*w + 7*s - 6*w + 20 wrt w?\nAnswer: 42979200*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((s*(s*s**(-3))\/s)**(-35)*(s**3*s*s)**(-2\/61))**(4\/15) assuming s is positive.\nAnswer: s**(1136\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2011410?\nAnswer: 2, 3, 5, 22349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -2 + (sqrt(180)\/(sqrt(6)*1))\/(sqrt(10)*-2*5).\nAnswer: -2 - sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Do 1668 and 123501\/74 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.11 + 206.66764393873?\nAnswer: 206.55764393873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 3 (base 14) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 633*v**3 - v**2 - 1 - 3*v**4 + 3 - 2*v - v**2 - 634*v**3 to the form a*v**4 + z*v**2 + o + g*v**3 + x*v and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from rxteyrxrerrteret. What is prob of picking 2 e, 1 x, and 1 t?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let g(w) = -2*w - 36. Let y be g(-24). Let x be 6 + y\/6 + -7. Calculate the greatest common factor of 41 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*y + 60*w = 58*w - 4, -2*w - 28 = 9*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -5 + (-1 + sqrt(704) + -2)**2 + -4.\nAnswer: -48*sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (32\/20)\/((-1)\/5). Let n be (-45)\/(-12) + t\/(-32). Suppose -7 = -n*p + 5*o, 0 = -2*p + 5*p + 3*o - 39. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 118563 - 118561. Determine a so that 12\/5 - 69\/5*a + 27\/5*a**3 + 18*a**n = 0.\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(i) = i**2 + 4*i - 11. Let z be c(-9). Suppose y - z = -30. Solve 3*g = 3, -g + 1 = 4*h + y*g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-159*l + 92*l**2 + 159*l)*(-3 + 3 + 2)*(5 - 1 - 2).\nAnswer: 368*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {p: 1, w: 1, t: 2}. What is prob of sequence ww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let a(b) be the second derivative of b**5\/10 - 45*b**4\/2 + 1496*b**3 + 4624*b**2 - 126*b. Factor a(v).\nAnswer: 2*(v - 68)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -2*o**2 + 3*o**2 - 4*o**2 + (o + 0 + 0)*(864*o - 49 + 24 + 25) as k*o + i + w*o**2 and give w.\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let d(l) = -l**2 - l + 13. Let g(q) = -q**2 - q + 20. Let m = 13829 - 13834. Determine m*g(x) + 7*d(x).\nAnswer: -2*x**2 - 2*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence erx when three letters picked without replacement from eerxii?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let w(u) = u - 1. Suppose -3*k - 5*b = 5, 5*b - b + 41 = 5*k. Let s(n) = n - 2. What is k*s(x) - 4*w(x)?\nAnswer: x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 118879, 237772, 356735, 475804, 595015, 714404, 834007?\nAnswer: 953860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (9\/(-30))\/(18\/(-10)) + 0. Let s be (-1)\/(-12) + 2\/(-8). What is the third biggest value in 0.1, s, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 79277438 to the nearest integer?\nAnswer: 8904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} -{"text":"Question: What is the eighth root of 4669 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6 = -h - 3*k, 5 = -5*h - k + 3. Which is the nearest to h? (a) 3 (b) 1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (1\/(-16))\/(32\/(64\/1)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 1438540, 1438491, 1438410, 1438297, 1438152, 1437975, 1437766?\nAnswer: 1437525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let g(i) = 25*i - 22. Let u(j) = 98*j - 89. Determine -25*g(l) + 6*u(l).\nAnswer: -37*l + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let j(h) = 50*h + 35. Let k(d) = -18*d - 11. Let m(b) = -4*j(b) - 11*k(b). Give m(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0.42282 * 0.3\nAnswer: 0.126846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-4)\/(-6) - ((-68)\/(-4) + -16)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -37237928 divided by 56.\nAnswer: -664963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -8 + -14. Let w be o\/(-3) + (-3)\/9. Suppose w*m + 3*v = 2*m + 35, 4*m = 5*v - 9. Solve 0 = h + m*h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 7959 + -7955. Solve -3*b - 17 + 49 = -n*w, 2*w - b + 14 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*w + 3 = 19. Let z(q) = 8*q**2 + 5*q + 7. Let d be z(w). Which is greater: d or 114?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: -1 (base 3) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 8827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let u be ((-1)\/(0 + -1))\/1. Let h = 28613\/55 + -4704\/11. Let x = h - 93. Which is greater: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 25 divide 3957275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Put 847, 4, -2, 9, 1 in increasing order.\nAnswer: -2, 1, 4, 9, 847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 1 in 1\/6, -1\/4, 0, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let q(j) = 45*j**2 + 60*j + 190. Is q(-7) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b be -3*(-2 + 20\/9)*-165. What is the highest common factor of 352 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -9? (a) -14\/19 (b) -2\/11 (c) 77 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Solve -125082 = -4248*n + 176526 for n.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {y: 2, w: 1, o: 1, x: 1}. What is prob of sequence yy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -7*p - 39 + 67. What is the second derivative of 3*t**3 + 17 + t**3 + 7*t**2 - t**3 - 6 + p*t wrt t?\nAnswer: 18*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*x + 12 = 96*n - 101*n, 0 = 2*n - 5*x - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is -4.789863 minus 94?\nAnswer: -98.789863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -m = a, a - m + 13 = 13. Let x(g) = -g**3 + 104. What is x(a)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 1167\/115 + -11\/230. What is the common denominator of 37\/12 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 48 = 4*g + 4*f, 8*g - 4*g - 24 = 2*f. Let w = 108 + -105. Suppose -w*s + s - 4*a = -38, -s + 49 = -4*a. What is the remainder when s is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.6500318 centuries in millennia?\nAnswer: 0.06500318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let f be -5 + 2 + (34 - -3). Suppose f = 4*m - 26. Let r = 816 + -744. What is the remainder when r is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(g) = 10*g**3 - 7. Let w be -2 + ((-20)\/(-25) - (-82)\/10). Let m(n) = -3*n**3 + 2. Let p(s) = s**2 + 4*s + 2. Let d be p(-4). Give d*t(o) + w*m(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -187, -195, -197, -187, -159, -107, -25?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Put 1, 55, -2, -9 in increasing order.\nAnswer: -9, -2, 1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -19 - -28. Suppose -12*w + 3 = -x*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 4*j**3 + 36900*j**2 + 626352*j + 1915264.\nAnswer: 4*(j + 4)*(j + 13)*(j + 9208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let x be -6 + (1309\/(-441) - -9 - 3\/(-27)). What is a in -4\/7*a + 1\/7*a**3 + 4\/7 - x*a**2 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -148*l - 1467*l - 534*l - 77364 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((z*z**(-2\/5))\/(z**1\/z))\/(z*z**(-2\/17)*z**(2\/13))*(z**0)**48*(z*z**(2\/7))**1 assuming z is positive.\nAnswer: z**(6571\/7735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -2*i**4 + 16*i**2 - 10*i**3 - 2*i**3 + 14*i**3 to v*i**2 + d + s*i**3 + c*i + a*i**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Factor b**5\/2 + 73*b**4 + 6903*b**3\/2 + 47725*b**2 - 238750*b + 187500.\nAnswer: (b - 3)*(b - 1)*(b + 50)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 2943136 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Is 152183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.00000527210122 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let f(k) be the second derivative of -k**4\/6 + k**2\/2 - 2*k. Let r be f(-1). Let c = 2 - r. Solve c*a + a = -16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.004302418 to six dps.\nAnswer: 0.004302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Add together -1599 and 0.5.\nAnswer: -1598.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the tth term of -1619, -1589, -1559?\n\"Answer: 30*t - 1649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let 19652*i**4\/5 + 5780*i**3 - 18972*i**2\/5 + 3564*i\/5 - 216\/5 = 0. Calculate i.\nAnswer: -2, 3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -167 + 166.2. Let w = -0.2 + y. Let c be (-20)\/(-6) - (-1)\/(-3). Sort 0, w, c in ascending order.\nAnswer: w, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 137\/7668 and 149\/17892.\nAnswer: 53676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*n + 18 = -2*z, -7 = 2*n - 3*z + 2*z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let t(s) = 4*s - 24. Suppose 134*n - 92*n = -44*n + 1376. What is the smallest common multiple of t(11) and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 1791648229435.28719259 - 1662660956477.587192213. Let x = -128987273027 + i. Let h = 69.3 + x. What is h rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 117022 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0009905033391 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 0.01 in 0.4, -2\/7, 12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -3.7 - -3.46. Let b = 0.06 - n. Sort -0.5, b, -4 in decreasing order.\nAnswer: b, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-5*h**3 - 12*h**3 - 2*h**3)*(-2 + 5 - 4).\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve 380 = 19*c + 456 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 727131 to the power of 1\/2, to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: 673.43+14052243\nAnswer: 14052916.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let v(b) = -b**2 + b. Let h(f) = -8*f**2 + 5*f - 23. Let d(s) = -h(s) + 5*v(s). What is the tens digit of d(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 3 + 4*4*((sqrt(1700) + sqrt(1700) + 0 + 1)*-1 - -6*6*sqrt(1700)*-1)**2.\nAnswer: 12160*sqrt(17) + 39276819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 9*((-33)\/(-9) - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify k**11\/(k\/k**(-12)*k) assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve -129*a + 96*a + 528 = 0 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: 27 - (4 - -3 - -2) - 7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (-126)\/((-8)\/4) + -4. Suppose -u = -2*i + 101. Calculate the greatest common divisor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 14 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let p(f) = 3*f - 1. Let b(z) = 0*z - z - 4*z + 1. Let w(s) = -5*b(s) - 8*p(s). Let g(v) = -v + 4. Let r be g(6). What is w(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*z + 4*z - 207. Let t(w) = 9*w + 12. Calculate the remainder when t(6) is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*h, -3*b - 2*b = 3*h + 15. Let m be (1\/2*b)\/((-5)\/10). Suppose 3*i - 40 = -4. Solve 0 = v - m*f + i, -2 = -5*v - f + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -61 - 65 = -9*m. Suppose 611 - 3719 = -m*x. Calculate the remainder when x is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-24)\/(-56) + (-13)\/63?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 22075 is divided by 241.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:49 PM and 8:54 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 410 minutes before 10:57 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 12093 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 1270, 5018, 11272, 20038, 31322, 45130?\nAnswer: 61468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:28 AM and 5:43 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 126\/4 + 4\/(-8). Let r = x - 18. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 885, 2263, 4175, 6621?\nAnswer: 9601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.6318971ug in milligrams?\nAnswer: 0.0006318971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*q + 3*p = 1785709, -192*q + 190*q = 5*p - 714314. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {w: 3}. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let d be ((-1)\/(-2))\/((-1)\/(-4)). Let f(c) = 2*c**2 - 2*c**d + 2*c**2. Let j(n) = 9*n**2 - 9*n**2 + 3*n**2 + 3*n**2. Give j(f(h)).\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Put together -159 and -482.\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -61*j**3 + 223*j - 110*j + 0 + 0 - 59*j - 57*j.\nAnswer: -61*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 1412177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-261)\/(-696))\/((-3)\/48).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -1.16 + 0.16. Let v = -87\/14 - -32813\/5278. Let z = 743\/4147 + v. Which is the biggest value? (a) z (b) 4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -50 + 66. Suppose 2*w - 5*n + c = 0, -4*w - n + 5 = -7. Sort w, -2, -3.\nAnswer: -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(i) = -6*i**2 - 302*i + 2314. Calculate p(-57).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let k be 973 - ((-24)\/24 - -5). Calculate the greatest common factor of k and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 3077871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 5 + 35?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Convert 17643.49um to meters.\nAnswer: 0.01764349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*w + 2*m - 500853, 8 = -2*m + 14. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 1012 and 3212?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -48 + 20 + -7 - (33 + 10)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let v(t) = -t**2 + 14*t - 12. Let j(u) = -u**2 + 14*u - 11. Let b(f) = -2*j(f) + 3*v(f). What is the tens digit of b(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(b) = 2*b**2 - 23006*b - 138093. Determine s(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 31*q = 17232 - 18658 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve -20 = 3*n - 616294*t + 616293*t, t = -20*n - 141 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 18360.7209 - 18361. What is u rounded to 3 dps?\nAnswer: -0.279","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 419 + -459 - (-2 - 3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 56\/375 - 2\/125. Let o = 0.19 - -5.81. Let y = 10 - o. Which is the second smallest value? (a) y (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 259872229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the oth term of -12093931, -48375750, -108845457, -193503052, -302348535, -435381906, -592603165?\n\"Answer: -12093944*o**2 + 13*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: How many weeks are there in 5749.12989 minutes?\nAnswer: 0.5703501875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1096 is divided by 546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 2394\/5 + -52583\/110. What is the common denominator of 101\/18 and f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put together -1.525 and -5.\nAnswer: -6.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Express 2*a + 6*a**2 + a**3 - 6*a**2 + 4 - 4*a as p*a**3 + h + r*a**2 + t*a and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*y + 9 = 4*u, 5*u - u = -5*y + 15. Suppose -2*g - 3*h + 7 = u, 3*h - 10 = -2*g + 3*g. Let n be g\/1 - -3 - 1. Solve -4*m + n = -11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 17 + 20. Suppose -26 = 5*j - 6. Let o = b + j. What is the highest common factor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 5 + 128*m - 6 + 1.\nAnswer: 128*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -17 + 30. Let z = -177\/52 - -13\/4. Sort z, l, 3\/7 in descending order.\nAnswer: l, 3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -1 = -x + 1. Let w be (3 - 25\/10)\/((-2)\/(-56)). Suppose 0 = -w*h + 12*h. Sort h, x, -2 in increasing order.\nAnswer: -2, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -30 or 4024850?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5 = -2*a + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (-100)\/(-35) + (-4)\/(-28). Suppose o = -t*d + 119, 121 = 3*d - o - 0*o. Let v = 60 - d. Which is smaller: v or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 19 divide 35203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 5120444802 to the nearest integer?\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (s\/((s\/s**2)\/s*s))\/s*s*s\/(s*s\/(s\/(s**(4\/3)*s*s*s)))*(s**(-1))**(11\/6) assuming s is positive.\nAnswer: s**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 15 + -27. Let h(t) = -t**2 + 6*t + 15. Let w be h(7). Let l be c\/18 + w\/3. Solve 4*f + 10 = l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-25)\/10 + 3 - (-3)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in 5, 0, -0.2, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 1 - (-76)\/(-13) - 10\/65.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -178989, -178995, -179001, -179007?\nAnswer: -179013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 71 - 61. Suppose 0 = -4*w - 6*r + r + 26, -4*r + b = 2*w. Suppose -w*i = 1305 + 36. Round i to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Total of 6450147998 and 359.\nAnswer: 6450148357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 25536 and 15084480.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Factor -14*b**2\/9 - 86*b\/9 - 4\/3.\nAnswer: -2*(b + 6)*(7*b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Solve 29*z + 38*z - 85 = -219 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let h(c) = -25772 + 25772 + 28*c. Let d(o) = -149*o. Give d(h(p)).\nAnswer: -4172*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Is 18485175283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -0.2 and 1173?\nAnswer: -234.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 363.69 in 3\/5, 2\/3, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let j(m) = -6*m**2 + 43*m + 99. What is j(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let s(q) = q**3 + 20*q**2 + 3*q - 36. Calculate s(-20).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*v + 0*v + v)*(-23*v + 5*v - 16*v) + (7*v + 2*v - 4*v)*(3*v - v - 5*v).\nAnswer: -49*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 91\/20 and 97\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let n(o) = 2*o - 28*o**2 + 29*o**2 + 5*o. Let i(w) = w**2 - 9*w + 11. Let d be i(4). Calculate n(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3 - a**2 + 3)*(0*a + 4*a - 3*a) + 419*a**3 + 429*a**3 - 787*a**3 + (4*a - a - 2*a)*(2*a**2 - 5*a + 5*a).\nAnswer: 62*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 37420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -4482*b*d**2*w + 112*b*w**3 - b*w**2 + 54*b - 18*d**2*w**3 - 2*d**2 + 12*w**3 + 11*w with respect to d.\nAnswer: -8964*b*d*w - 36*d*w**3 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -95*r**2 + 30*r**2 + 67*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 42536?\nAnswer: 2, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -75 - -78. Suppose -5*n + 6 = 2*q, -m*q + n - 3 = -4*q. Suppose -8 = -l + q*b, 4*b + 16 + 13 = 5*l. Solve 29 = -l*s + 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -32 - ((923 - 912) + (0 - (-2 + 1))).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3 = 37*s - 18 - 133. Which is the closest to -5? (a) -4 (b) -3\/22 (c) s (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 273\/64132 or 2\/9?\nAnswer: 273\/64132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 1836 and 171768?\nAnswer: 1545912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {s: 1, e: 1, l: 1, z: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 1*(-6*(2 + (sqrt(448) - 1*sqrt(448)) - sqrt(448)*-1*2))**2*-3*6.\nAnswer: -1163808 - 41472*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Put 2, 5, 4, 3 in ascending order.\nAnswer: 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: 3372\/(-22480)*((-120)\/99)\/5\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -9 + 30. What is the greatest common factor of p and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 68832.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*y**2 - 6324*y - 642321 = 0 for y.\nAnswer: -2001, -107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*g = 7*g. Let d be g - (-3)\/(-6)*2. Is d - -1 - 4*-3 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 31 - 28. Suppose l = 4*k + g*l - 1158, -3*k - 2*l = -869. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 11810 is divided by 3897.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let t(d) = -d**3 + d**2 + d + 7. Calculate the remainder when t(0) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 16161 in 76, 6\/5, -3\/31?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let d(r) = -r - 8. Let u be d(-8). Suppose u*n = -4*v - n + 33, 4*n = v + 13. Suppose -8 - 17*a**2 - 618*a**3 + 622*a**3 + v*a + 13*a + a**2 = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 1095284.911155472 - -13692.578833128. Let i = t + -1108978. Let y = i - -0.51. Round y to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 243\/12 - 2\/8. Suppose -r = -4*h - 4*n, 0 = -n + 1. Solve 5*i - 3*i - u = 3, -4*i + 4*u = -h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 301303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 2\/7 - 6655*(-3)\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 53925 is divided by 161?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let a(z) be the third derivative of -z**6\/120 - 17*z**3\/6 - 20*z**2. Let w(v) be the first derivative of a(v). Let t(f) = -3*f. What is t(w(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-17114)\/(-1393) + 3*(-20)\/(-84).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(t) = t**2 - 10*t - 11. What is w(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.7719 + -66?\nAnswer: -65.2281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let b(u) = 4*u**2 - 5*u - 2. Let a(c) = -2*c**2 + 3*c + 1. Let d(s) = -5*a(s) - 3*b(s). What is the first derivative of d(r) wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -x + 4*d + 44, d + d = x - 38. Calculate the remainder when x is divided by ((-102)\/(-15))\/((-6)\/(-15)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(f) = -15 - 54*f + 111*f - 56*f. Let t be h(6). Let o be (-223)\/t - 20\/(-90). Solve 2*d + 5*r - o = 0, 0 = -r - 3*r + 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(x) = -2*x**3 + 10*x**2 + 19*x - 100. Calculate r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 11 + -2. Suppose 0 = -3*w + 2*w. Suppose w = 5*l - 6*l + 11. What is the smallest common multiple of r and l?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*h + 3*h - 20. Suppose 2*s = -2*s - 8, 4 = 4*i + 4*s. Let a(o) = o**2 + 4. Let n(v) = -v**2 + v - 3. Let u(x) = i*n(x) + 2*a(x). Give u(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -4\/37 greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 9254237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let i(y) = -6*y**3 - 3*y - 3. Let b(n) = -7*n**3 - 4*n - 4. Let k be 3 - (0 - -3 - 10). Let u = -34 + 48. Let o = u - k. What is o*i(a) - 3*b(a)?\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Expand 0*h**3 - 2*h**3 + 4*h**3 + (2*h**2 - 4*h**2 - 6*h**2)*(h - 5*h + 5*h) - 9*h**3 - 47*h**3 + 14*h**3.\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (-7)\/((-84)\/(-48)) + 13. Solve v*r = 626 - 635 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*u + 4*u - 13 = 0. Suppose u*m = 14*m - 130. Suppose -2*z + 2*n = -m, 5*z = 3*z - 4*n + 112. List the prime factors of z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-6)\/(-120))\/((-525)\/25 - -20).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 1443009, 2886029, 4329049, 5772069, 7215089, 8658109?\nAnswer: 10101129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of 12419, 24840, 37261?\n\"Answer: 12421*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2560 = -3*s + z + 2336, -2*z + 4905 = 3*s. What is the least common multiple of s and 2?\nAnswer: 3266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 2103220 (base 6) to base 15.\nAnswer: 20280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let l(z) be the third derivative of z**8\/42 + z**4\/6 - 6*z**2. Find the second derivative of l(t) wrt t.\nAnswer: 160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -2920 or 4600.7?\nAnswer: 4600.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -39\/3667 and -44\/1737?\nAnswer: 33003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is 1755809378 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 78499 divided by 2?\nAnswer: 78499\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 2 + -435?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 80 and 134595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -114 + 198. Suppose -8*u + 4*u = -2*f - 84, 0 = 4*u - 5*f - s. Solve 2*y = d - 10 + u, 0 = -5*d + 5*y - 30 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1747363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0*k + 1\/5*k**3 + 0 + 1\/5*k**2 = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 2489 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.5 * 10013882.\nAnswer: -5006941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 2\/4894854235 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (y\/(((y\/y**(2\/3))\/y)\/y))**(-47)*(y*y**(2\/5))**(-45)*y**(-1\/2)*y**(-6\/7)*y**6*y*y\/(y\/(y\/y**(-3))) assuming y is positive.\nAnswer: y**(-7505\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let v(u) = 3*u**2 - u - 1. Let l(q) = -39*q**2 - 4*q + 57. Let p(c) = -l(c) + 4*v(c). Differentiate p(r) wrt r.\nAnswer: 102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 60 - 52. Let s(z) = z**3 - 7*z**2 - 10*z + 21. Let d be s(a). Solve 5 - 25 = -d*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*q = -2 - 0. Let k = 6 - 6.3. Let t = 3673 + -3668. Which is the nearest to q? (a) k (b) 3\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1591391 is divided by 1090.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let s be 1*(-1 - (1 - (4 + 3))). Solve -3*l - q = s, 3*l + 3 + 17 = -4*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -69\/21884 and (-6)\/10*(-675)\/80 - (-129)\/(-172).\nAnswer: 87536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -21 + 29 + 2 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 13 + -9. Let n be 3*10\/24*u. Suppose 5*k = -q + 18, n*k - 6 = 6*k + 5*q. Solve y + k = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: -11 (base 5) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*r + 5*u - 4168 + 876 = 0, 3*r - 3280 = u. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-3*2*sqrt(136))\/sqrt(8).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the ninth root of 7032181876 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*h**2 + 5 - 5)*(h - 2*h + 0*h)*(2*h - 1 + 1).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let l be (-2 - (-3 - 1)) + -4. Let w be (45\/(-12) - l)\/(3\/12). Let k(z) = 3*z + 21. Let v be k(w). Solve 4*f - 6 + 26 = v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be 176\/132*(-2 - 82\/(-44)). Let h = 0.06 + -0.46. Let p = 0.9 + h. What is the closest to 1\/2 in p, 0.4, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -19*a + 16*a + 63 = 0. Calculate the remainder when a is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(a) = 26*a - 295. Let q be t(15). Calculate the highest common divisor of 38 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 4\/3*(-42)\/(-4). Suppose -34 = -3*m - m + 2*h, -g = -m - 5*h. Solve -p + 6 + 1 = -5*f, -4*p + f + m = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Subtract -203 from -117607202.\nAnswer: -117606999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -5263 - -5268. Let d = -4.9 - 0.1. Let x be 1\/2*1*-1. Which is the smallest value? (a) u (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(v) = 9212*v**2 + 74*v - 545. Is f(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 77, 115, 179, 269, 385?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Round 17529.4 to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let t(y) be the second derivative of 0*y**4 + 0 + 1\/168*y**7 + 0*y**2 + 0*y**3 - 3*y - 1\/60*y**6 - 3\/80*y**5. Determine v so that t(v) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -1\/6123 in 0.3, -4, 30\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 979210?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 997817 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (z\/((z*z*z**(-3\/8)*z*z)\/z)*z**16)**(-2\/21) assuming z is positive.\nAnswer: z**(-115\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 13356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -206 + 470. What is the greatest common divisor of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {e: 1, q: 11}. What is prob of picking 4 q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 1350 and 120850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Is -0.2 smaller than -63637157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 108016715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 2322 - 263. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -2, -270, 192 in decreasing order.\nAnswer: 192, -2, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 41 + -52b?\nAnswer: -4ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Do -37 and -27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let u(r) = 4466*r**2 - 55*r - 55. List the prime factors of u(-1).\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(a) = -2*a - 17. Let p be q(-11). What are the prime factors of 2\/(6\/9) - -3*p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 2065870 and 63080.\nAnswer: 8263480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from ftfxfmfffmxfxx. What is prob of picking 2 f, 1 m, and 1 x?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let v(s) be the second derivative of -s**2 + 1\/12*s**4 + 5\/6*s**3 + 0 - 6*s. Calculate v(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*h + 2*i - 5143 = 5*i, -3*i - 1019 = -h. Does 99 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose n + 6 = 3*n. Suppose 3*g + 6 = 5*g, 3*p + n*g - 186 = 0. Let k = -34 + p. Which is smaller: 24 or k?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 0.05 (b) -1 (c) 2\/13 (d) -0.6 (e) 128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -40 - -23. Let s = l - -22. Let z = -3 - -9. Solve 0 = -s*v - 1 + z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -28 - 6*g**4 - 2*g**3 + 20*g**2 + 67 - 41 to the form h*g + k + q*g**4 + c*g**3 + s*g**2 and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -1 or 155\/1578?\nAnswer: 155\/1578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {v: 5, o: 4, t: 10}. Give prob of sequence ttoo.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (v**11\/v*v**(-1))\/(((v*((v\/(v**(-3\/10)\/v*v*v))\/v)\/v)\/v)\/((v\/((v*v\/(v\/(((v**(1\/3)\/v)\/v)\/v)))\/v))\/v)) assuming v is positive.\nAnswer: v**(401\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Expand (u**3 + u**3 + 0*u**3)*(4 - 3 - 3 - 1 + 0 + 3 + (-1 + 1 - 2)*(4 + 0 - 3) + 5 - 5 - 3).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1566937 is divided by 73?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 481 - 481 + i + 209*i to the form c + j*i and give j.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*x - 4*v + 45 = -8*v, 2*x - 31 = 3*v. Suppose -7*l = -157 - x. Let m be 6\/8*64\/l. Solve 6*a = m*a + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 19 (base 16) to base 6\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 100 a factor of 19400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is -5286.9602 minus 0.17?\nAnswer: -5287.1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 130 - 130 - 65*j + j.\nAnswer: -64*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (2 - 16) + 6\/3. Let o = g + 28. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4*(-1*((sqrt(175) - -2*sqrt(175)) + -5) - (-4 + (-2 + sqrt(175))*4))**2*-1*-6.\nAnswer: -28560*sqrt(7) + 212736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 48873705?\nAnswer: 3, 5, 3258247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 1 + 3*10\/(-66). Let w = -8\/55 + g. What is the nearest to -1 in w, 4, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -13.9 - 27.6. Let l = g - -47. Let w = l + -5.2. What is the smallest value in -2\/13, w, -3\/2, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the sth term of 140, 281, 422, 563?\n\"Answer: 141*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: 403616 (base 7) to base 14\nAnswer: 1adb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 614247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -11 or -3725\/381?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: How many centimeters are there in 2817.679 millimeters?\nAnswer: 281.7679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Sort 3, -5, 13, -3, 1 in decreasing order.\nAnswer: 13, 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -14.221*-0.224.\nAnswer: 3.185504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Multiply 1186.19 and -2709.\nAnswer: -3213388.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 6*b**2*f**2*h - 4*b**2*f**2 + 2*b**2*h - 163*b*f**2*h + 2*b*f*h - b*f wrt b?\nAnswer: 12*f**2*h - 8*f**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify d**(10\/3)\/(d\/(((d\/d**(3\/11))\/d)\/d))*(d*d**22)\/d*d\/d**(4\/7) assuming d is positive.\nAnswer: d**(5426\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-1*((sqrt(14)\/sqrt(2) + 3)**2 - ((-2*sqrt(700) - sqrt(700))**2 - sqrt(7))) + ((-6*-2*sqrt(77))\/(sqrt(176)*6))**2)*1.\nAnswer: -7*sqrt(7) + 25143\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 y and 1 b when three letters picked without replacement from byttfjyjbjjjf.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-1993 - -2019) + -1 + 9 - 140.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -1443*w = -3*p - 1445*w + 10, -25 = 3*p - 5*w. Solve 4*l + 3*q - 11 = p, -q = -4*l - 4 + 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 11617237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 11 - 4. Let n = -10 + s. Let m be (-1)\/(-2) + 2\/(-12). Put m, 1, n in decreasing order.\nAnswer: 1, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(t) = -106*t**3 + t**2 - 11*t - 14. Let s be k(-1). What is the greatest common divisor of 1690 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of -2*10\/4 - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*g = 5*v - 1250, 0 = -0*v + 5*v + 3*g - 1250. Suppose 0 = -w + 1047 - v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of -2779, -5491, -8201, -10909, -13615, -16319, -19021?\n\"Answer: r**2 - 2715*r - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let k(j) = j**2 + 3*j - 5. Suppose 3*n = -n. Suppose 2*o + 20 = -7*u + 5*u, n = 4*o + 3*u + 38. Is k(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*h + 15 = 0, -2*o + 4*h + 635 = 655 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Sort 2, 258\/7, 1\/3.\nAnswer: 1\/3, 2, 258\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2 = -i - i. Let b be i + 1 + 7 + -2. Calculate the highest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 638 and 22?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -9495\/2 + 4853. Let l = j + -105. Let u = 72 - 361\/5. What is the nearest to l in 0.1, -4, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 11 + 8 + 3*g**2 - 9 - 8.\nAnswer: 3*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Sort 0.4, 0, -22, -3\/7.\nAnswer: -22, -3\/7, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.00001634182 rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*w = 3*w + 23409. What is the remainder when w\/(-57) + (-8)\/(-76) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 121232695.\nAnswer: 5, 17, 41, 43, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Work out -17108.9975722 - 0.01.\nAnswer: -17109.0075722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -r + 1146 = -h, -46*r - 3*h = -50*r + 4588. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((j**(3\/2)*j)\/j)\/j**(-5))\/(j**(-2\/15)\/((j\/j**5)\/j*j)) assuming j is positive.\nAnswer: j**(79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 4568\/4509 - -4\/167. Find the common denominator of -62\/15 and c.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-n**2 - 2*n**2 + 2*n**2)*(0*n + 5*n - 4*n) - n**3 + 0*n + 0*n + (-4*n - 2 + 2)*(-4*n**2 + 2*n**2 + 6*n**2).\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let c be 22\/(-5) + (-7)\/(-105)*6. Let j be 1\/(c*4\/(-80)). Sort 19, -5, j in descending order.\nAnswer: 19, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify a**(2\/3)\/((a*a**8)\/a)*(a**(1\/4)*a)**(-32) assuming a is positive.\nAnswer: a**(-142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ath term of -439399, -439576, -439753, -439930, -440107, -440284?\n\"Answer: -177*a - 439222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let x(p) = 102*p**2 - 95*p + 35. Let g(j) = -68*j**2 + 64*j - 25. Determine 7*g(m) + 5*x(m).\nAnswer: 34*m**2 - 27*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is -5210 divided by -27?\nAnswer: 5210\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Round 26610.9991 to the nearest 10.\nAnswer: 26610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 744364 + 671*j - 372175 - 372189.\nAnswer: 671*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4*(2*(sqrt(76)*2 + sqrt(76) - sqrt(76)))\/sqrt(4).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 14124 - 10137?\nAnswer: 3987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is 221021111122110 - -101?\nAnswer: 221021111122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: 537 (base 8) to base 3\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 690 + -436. List the prime factors of l.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-14*u + 8*u + 17*u)*(2 + 2 - 2)*(-u - 2*u + 0*u).\nAnswer: -66*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth biggest value in -2, 0, 1\/6, 2\/79, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 156*w**2 + 516*w**2 - 673*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let y(g) = -g**3 - 9*g**2 + 38*g + 24. Let c be y(-12). Suppose c*a + 2*a = 1040. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 0 + 11125543320?\nAnswer: 11125543320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -4269 + 4268.6. What is the closest to -1 in 1, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be 92\/20 - (-3)\/(-5). Let x be ((-134)\/k)\/(2\/(-32)). Suppose 2*v = -804 - x. What is v rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 3\/2*g**2 + g + 0 + 1\/2*g**3.\nAnswer: g*(g + 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3 = -2*g + 3*x, 21 = -4*g + 9*x - 8*x for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the seventh root of 71373905 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let y(z) = 3792*z**2 - 66*z - 137. What is the ten thousands digit of y(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is 725 - -14?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -1439074 divided by -13.\nAnswer: 110698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -0.1544*-0.056.\nAnswer: 0.0086464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -1 + (52 - (35 - 8))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {k: 2, o: 16}. What is prob of sequence kooo?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let b(s) be the third derivative of 0*s + 0 - 7*s**2 + 1\/24*s**4 + 0*s**3. Let n(h) = -9*h. Calculate b(n(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (0 - 78) + (8 + (-4 - 21) - -27) - -10.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 65.504371535 - -0.1.\nAnswer: 65.604371535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let c(k) be the first derivative of -10*k - 11 - 1\/3*k**3 - 11\/2*k**2. Calculate the remainder when 55 is divided by c(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 0.19 + -0.39. Which is the second smallest value? (a) -5 (b) l (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 27*z - 17*z + 5570 = 0. Let y = -431 - z. Let o = -38 + 56. What is the greatest common divisor of o and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-120)\/36)\/((-15)\/36).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 0.185458905*-0.4\nAnswer: -0.074183562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let i(l) = -52*l - 5. Let c(t) = 51*t + 4. Determine 2*c(k) + 3*i(k).\nAnswer: -54*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -5535 + 9521. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 44, -58, -384, -1060, -2212, -3966, -6448, -9784?\nAnswer: -14100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let o(d) = 2*d**2 - 14*d - 18. Let j be o(-12). Suppose 4*a + j = 10*a. What is a rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -36.74 + 37.74. Which is the closest to 2? (a) 32 (b) h (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -27 or -18?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 27352*q**4 - 4*q**3 + 2*q**2 + 4870349*q wrt q.\nAnswer: 328224*q**2 - 24*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 253236 and 171597.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2333*v + 15713 = -12283 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let s(p) = 6*p. Let b(r) = -3*r**2 - 315. What is s(b(q))?\nAnswer: -18*q**2 - 1890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth smallest value in 1, -1\/4, -3\/8, -0.2, -6\/125, -1, -1515?\nAnswer: -6\/125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 16 and 2240?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Divide -340 by -170.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 77 + -113. Let d be (13\/((-26)\/o))\/(-2). What is the tens digit of 6\/d + (-4)\/3 - -65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 94 + 103. List the prime factors of u.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 35\/3456 and 47\/3024.\nAnswer: 24192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Solve -501*w + 52970 = 1129*w + 8960 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (t*t**(-7))\/(t**(-1\/4)\/t) assuming t is positive.\nAnswer: t**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in -5, 0.2, 1\/6, 38?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -10*g + 9*g + 2*k = 0, -4*g + 26 = 5*k. What is the first derivative of -82 - 108*a - 99 - 9 - g*a**3 + 108*a + 11*a**2 wrt a?\nAnswer: -12*a**2 + 22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 556 minutes after 6:15 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-20)\/40*8\/(192\/(-84))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 9\/((-12)\/(-4))*2\/(-21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -1759.6 + 1760. Let k = 1.7 - 1.8. What is the nearest to 3 in k, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -8.86724 - 0.0972108\nAnswer: -8.9644508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of -10632, -85447, -288524, -683997, -1336000?\n\"Answer: -10689*u**3 + 3*u**2 - u + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 528 minutes before 10:22 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 81429 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 11.1 - 11. Sort n, 1, 0.2 in descending order.\nAnswer: 1, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(m) = 27*m**2. Let r(s) be the second derivative of s**4\/12 + 22*s. What is r(g(x))?\nAnswer: 729*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in 2\/5, 4.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*v = 5*r + 21, -v = 4*v - 2*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Is 86772180 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5 = 4*x + 79. Let m = -10 - x. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -1916 by 2.\nAnswer: -958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 12189?\nAnswer: 3, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: 1 (base 16) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 22430 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 b and 2 c when three letters picked without replacement from bcbccbcccbc?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 250 = 2*d - w, -w + 58 = 3*d - 312. Suppose -5*o + 182 = 4*k, -d = -2*o - o + 5*k. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: -241 (base 14) to base 12\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is -11 - 2003?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth root of 304166 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: (-34)\/48 - (-453)\/1208\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Convert -4 (base 16) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let m(f) = f**2 + 1. Let b(x) = 5*x**2 + x + 6. Let j(a) = b(a) - 6*m(a). Give j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {w: 9}. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -3698*a**3 - 132*a + 71.\nAnswer: -22188*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Sort 14\/5, 1, -20\/3 in ascending order.\nAnswer: -20\/3, 1, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {u: 2, x: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Convert -2 (base 15) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 468 and 91572?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 3136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let f(k) be the third derivative of k**5\/20 + k**3\/6 + 3*k**2. Let m be f(1). Let t(j) = 5*j - 6. List the prime factors of t(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -74367.236 - -74186. Let r = -0.236 - n. Let q = 180.99999921 - r. Round q to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -0.12 - -1.02. Let u = 16.1 + -16. Let g = -0.24 + 0.04. Which is the smallest value? (a) g (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert -202000 (base 4) to base 3.\nAnswer: -2222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1\/10 in 0.3, -0.5, 6\/11, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*j + 8 = -2*p, 2*j - 933*p - 6 = -932*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: -25 times 16\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*w = -4*w + 6864. Let p = 846 + w. What is p rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 20851*w + 2 + w**2 - 27*w**3 - 20851*w as j + x*w**2 + n*w**3 + h*w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of 22, 15, 8?\n\"Answer: -7*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*w + 3*r = 3 - 14, 5*w + r = 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is 1100000011000001111 + 10101000?\nAnswer: 1100000011010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -30.3 - -50. Let z = v + -19.70000072. What is z rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -6*b = -8*b + 4. Let q(g) be the second derivative of 5*g**3\/3 - g**2 + g. Let s(d) = -5*d + 1. Let h(l) = -4*q(l) - 7*s(l). Calculate h(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 170747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -495 + 490. Which is the smallest value? (a) d (b) -3\/7 (c) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1496 - 1496 - s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: -56976583 * -0.2\nAnswer: 11395316.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -438 + 733. Suppose 2*u = 7*u - v. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -36 - -37. Which is smaller: y or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 23*o - 49 = -3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 88911100 divided by -22227775.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2862*d - 4979*d - 20 + 20)*(-3*d**2 - 4*d**2 + 6*d**2).\nAnswer: 7841*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 18012 and 15732?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 3 - 7 - ((-1 - 12) + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 13\/55 and 87\/11429924.\nAnswer: 57149620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: -0.1 * 0.1013\nAnswer: -0.01013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 300 and 144?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let x(c) = -5*c**3 + 50*c**2 + 372*c - 2340. Give x(13).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: 20408 divided by 5102\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Does 66 divide 10306477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 1281533 and 1281533.\nAnswer: 1281533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.00021450366 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 10421, 21048, 32129, 43892, 56565, 70376?\nAnswer: 85553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from yypyllpqypyyqpn?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 6 - 1. Let r be (h - 3)\/(2\/3). Suppose 1 = -4*q + w + 60, r*q + 4*w = 30. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 96*v**3 + 181*v**3 + 94*v**3.\nAnswer: 371*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in -7, 12, -23989?\nAnswer: -23989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (a*a**(3\/5)*a*a)\/(a\/a**(-10)*a) assuming a is positive.\nAnswer: a**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Collect the terms in 704 + 700 + 5708*g + 702 - 2106 - 5716*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is 246 minutes before 12:47 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 2\/7 not equal to -209\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*s = w - 7, w - w - s = 2*w + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is 1d - 9b?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*j + j - 2*j)*(3 + 3 - 3) - 2*j + 2*j + 2*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 6 and 2643.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -101111 + -110000111111?\nAnswer: -110001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*v - 12 = 9*v, v = 2*p. Let a(q) = -4*q**3 + 3*q**2 - 6*q + 2. Let i(s) = 3*s**3 - 3*s**2 + 5*s - 2. Let f(w) = -4*a(w) - 5*i(w). Give f(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -3894114*i - 5961170 wrt i.\nAnswer: -3894114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1939 = -184*q - 1102 + 649 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-3)\/(-5)*1 + ((-4505)\/(-525))\/(-17). Which is the nearest to -2\/7? (a) -0.5 (b) o (c) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 94161976.0000004 + -94161944. Let l = 32 - k. Round l to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 15889081?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve -235*t = 409*t + 18976 + 10004 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 289 minutes before 6:05 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*m + 24 = 6*m. Suppose 4*v = -3*x + 52, 2*x = -0*x - 5*v + 23. What is the smallest common multiple of m and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(o) = -3*o**3 + 157*o**2 - 9*o - 53. Let r be u(52). Let v = r + -342. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (24 - (-306)\/(-15))*5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*u - 77 = -5*f, f = 3*f + 3*u - 29. Suppose 4*p - 161 = -3*l, -p - 10*l + 5*l = -19. Calculate the lowest common multiple of p and f.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -1.218 + 1.24. Let p = -92.022 + n. Let h = p + 98. Which is the nearest to -3? (a) 1\/6 (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s be (-5)\/(1 + 0)*(-57 - -56). Suppose -s*q = q + 6*q. Solve 3\/4*t**5 - 3\/2*t**4 + q - 3\/4*t + 3\/2*t**2 + 0*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -5 - -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence fdf when three letters picked without replacement from dddfdddfddd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 6630 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 5309176413 to the nearest integer?\nAnswer: 72864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 65 and 105.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.0224 - -247879?\nAnswer: 247878.9776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -m = 5*m - 18. Let z be 1\/((1 - 2)\/(-6 + m)). Suppose z*y = -0*y + 387. Does 51 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 370206.\nAnswer: 2, 3, 131, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Add together -369186427 and -127.\nAnswer: -369186554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from ttttttqtqq. Give prob of picking 3 t.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1577 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Solve 176*c + 469 - 166 = -577 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 42419 - 30055. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -27406 in 5\/2, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -4*(3*sqrt(65)*-2 + 1*sqrt(65)*5)\/((-1*sqrt(720) - sqrt(720))*6)*-4.\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -16 + (61938\/81585)\/((-2)\/(-42)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} -{"text":"Question: What is 146 divided by -4?\nAnswer: -73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is 26 a factor of 1664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2 + 2 - n)*(5*n + 3*n - 4*n + n - 2 + 2 + (0 + 0 + 2)*(n + 0*n + n) - 41 + 41 + 2*n).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -151\/780 and 29\/234.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 39934492 and 1066?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let i(j) = -j**2 + j + 1. Let d(t) = 37*t**2 - t - 2. Let p(u) = 73*u**2 - u - 3. Let r(y) = -7*d(y) + 3*p(y). Let f(k) = 4*i(k) - r(k). Is f(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (99 - 10*n - 99)*(4*n - n - 4*n) to the form p*n + s*n**2 + c and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is 10403428 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Expand -t + 2*t**3 + t + t**2 - t**2 - 2*t**3 + (4 - 4 - 2*t**2)*(t + 7*t - 15*t) + (0 + 0 - 2*t**2)*(-17*t + 34*t + 5*t).\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let q(s) = s**3 + 18*s**2 + 2*s + 50. What is the remainder when -1 + (29*2 - 2) is divided by q(-18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*h + 15 = 0, 13*a - 3*h - 429 = -394 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 0.04 or 1820068?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -5*a - 4*r + 4, 3*a + 3*r + 11 = 14 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -69*i + 57*i + 36 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 1131030 + -3311222?\nAnswer: -2120132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 652.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 90311449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let x(o) = 2*o**2. Let c(v) = 3*v - 5*v + 0*v. Give x(c(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is -463817 (base 10) in base 6?\nAnswer: -13535145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: (-2660)\/(-798)*9\/5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 4, v: 10}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is -114462720 divided by 162?\nAnswer: -706560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from zzeqzezzczeeeqezzce. Give prob of sequence qc.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let y(r) = r**2 - r - 1. Let k(i) = 6*i**2 - 22*i + 3. Let v(s) = -2*k(s) + 6*y(s). Let z be v(6). Solve 4*c - 3*u = u - 28, z = 5*u - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 248700 is divided by 1323.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let p(d) = -186*d + 357*d - 184*d. Let z(q) = q**2. Let u(a) = -a**2. Let l(i) = 3*u(i) + 5*z(i). What is p(l(v))?\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*y - 0*y + 3*u - 7811, 0 = u - 1. Suppose -31*n = -39*n + y. What are the prime factors of n?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 4 (c) -56 (d) -2 (e) 2 (f) -12\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Solve 11 = -2*s + 3, -23*p + 17*p = -2*s + 34 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let i(h) = 4*h - 41. Calculate i(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of -1675, -1759, -1843?\n\"Answer: -84*q - 1591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: 0.54*-0.01\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {b: 15, x: 3}. Give prob of picking 2 b.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let w(q) = q**2 - 3*q + 5. Calculate w(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let r(k) = -8*k**3 - 13*k**2 - 5*k + 34. Let o(y) = 7*y**3 + 11*y**2 + 3*y - 30. Let g(c) = -7*o(c) - 6*r(c). Give g(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(c) = -c**2 - 10*c - 12. Determine s(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 2*w*x**2 - 46261*w*x - 4353*x**2 - 7*x - 1 wrt w?\nAnswer: 2*x**2 - 46261*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is (-1368)\/18*((-9)\/(-12) - ((-7 - -7) + 1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*o + 18 = 3. Suppose o*q = -z + 15, 2*z - 2*q = -12 + 50. Suppose 0 = -t - t + z. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 142 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Solve -695*g = -4*c - 347*g - 351*g - 67, 0 = 14*c - 5*g - 29 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let d(c) = -168*c**3 - 11*c**2 - 5*c + 11. Is 13 a factor of d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (-321)\/3*(1 + -21 + -1). Suppose t = a - 1448. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -4477 + 4480. What is the fourth biggest value in -5, 5, r, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 20990186.\nAnswer: 2, 7, 641, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let j(q) be the second derivative of q**3\/2 + 9*q**2\/2 - 19*q + 25. Suppose -n = -2*o + 36, 2*o = -0*n - 2*n + 42. What is the units digit of j(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence kk when two letters picked without replacement from tyyukmk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8 = -4*b, -2*w = 8*b - 13*b + 6. Let k(s) = s. Let y be k(0). Let j be 3\/((-9)\/(-24)) - y. Solve 3*o = 4*h + w*o - j, -h + 2 = -3*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(a) = -14*a + 126. Give x(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence snnn when four letters picked without replacement from ssnssnn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2*sqrt(2448) + 0.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (k*k**(-13\/2))\/(k\/(k\/((k**(-2\/9)*k)\/k))) assuming k is positive.\nAnswer: k**(-95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let p(d) = d**3 + 2*d**2 - d - 3. Suppose -1384 = -2*q - 2*q + i, 5*i = 0. Let s = q + -349. Determine p(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 1689 - 1693. Let s = 0.17 + -0.01. Let i = s - 0.06. Which is the nearest to i? (a) -1\/5 (b) 14 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 7*p**2 + 19*p**2 - 9*p**2 to the form s + l*p**2 + f*p and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let q(w) be the second derivative of 0 - 21\/2*w**2 + 5\/2*w**3 + 2*w - 3\/4*w**4. Let f(p) be the first derivative of q(p). What is the derivative of f(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: -5874.98 times -0.5\nAnswer: 2937.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let q(o) = o**2. Calculate q(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 5287430142339 take away -8.4?\nAnswer: 5287430142347.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 21\/4 - 2*5\/40. Let c(x) = 8*x - 13. Let o be c(y). Let n = -23 + o. Solve -50 = -5*k + n*h + h, -k = -3*h - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(k) = 7*k**2 + 35*k - 10. Calculate r(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (0 + 1 + sqrt(448)*5 + (sqrt(448) + -2)*-5 + -2 + sqrt(448) + -5)**2 + -5.\nAnswer: 64*sqrt(7) + 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Are 301132\/49 and 6147 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 57919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 32249181\/260 + -124035. What is the common denominator of -17\/7 and k?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 17 - 19. Suppose 4*z - 3*z = -2. Is -2*(63\/z + w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 46965*c + 173 = 4*l + 46976*c, -l + 5*c = -20 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose m + 4*z - 8 = 0, -2*m + 3*z + 2 = 8. Suppose m = -q - 3*j - 13, -3*q + 7 = -2*q - j. Suppose q*x = 7*x. Sort 3, -1, x in decreasing order.\nAnswer: 3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 2092 - 2083. Calculate the highest common factor of p and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -77\/607522 and 3\/230.\nAnswer: 3037610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: -593 times -409.7\nAnswer: 242952.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Express 18*b - 22 + 48*b + 3*b + 4 + 3*b as g*b + x and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 1150 and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let k(b) = -49*b**3 + 34. Let s(p) = -24*p**3 + 17. Let r(z) = 4*k(z) - 9*s(z). Find the first derivative of r(v) wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (22 - (-3 + 2))\/(-1). Let p = 48 + h. Let k = p + -6. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 0.4712581 + -0.60125806. Let n = q + 0.13. What is n rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 1 (base 2) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 15844038?\nAnswer: 2, 3, 7, 31, 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*w = -3*c + 4 - 1, -25 = -5*c - w. Let b(d) = 2*d**2 - c*d**2 - 4*d**2 + 2*d**2. Let q(v) be the first derivative of -2*v**3\/3 - 1. Determine q(b(t)).\nAnswer: -72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let v(i) be the second derivative of -i**6\/180 - i**4\/3 - i. Let b(p) be the third derivative of v(p). Let t(n) = 2*n. What is b(t(z))?\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 3105 is divided by 1546?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Solve 564 = -6386*q + 6527*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 264763 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let j(m) = -m**3 - 13*m**2 + 13*m - 11. Let t be j(-14). Suppose 0 = 6*y - t*y. Factor 0*h + 1\/2*h**2 + y.\nAnswer: h**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(q) = -9*q. Suppose 2*m = 3*r + 15, 5*m + 3*r - 9 = 3*m. Let w(l) = -19*l. Give m*w(k) - 13*j(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: (221\/(-102))\/(12\/(-792)*-11)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 162\/7 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is -0.03686 at most as big as 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let y(a) = -312*a + 7699. Calculate y(23).\nAnswer: 523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 95.38433 grams in tonnes?\nAnswer: 0.00009538433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let r(g) = 1671*g + 58760. Determine r(-35).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -4*l + 2*s + 9100 - 2098, 4*l - 3*s = 6997. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 14*n**2 - 2*n**3 + 3*n**4 - 16*n**2 + 2*n**3 - 4*n**3 as t*n**3 + z + v*n**4 + i*n + x*n**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: -24 times -6570\nAnswer: 157680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 325 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:34 AM and 3:37 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -x + 28 = x. Let u(k) = k**2 - 19*k - 440. Let l be u(34). Calculate the highest common divisor of x and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*t - 9*a + 12 = 64, 2*t + 2*a + 16 = 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is -2102121011 (base 4) in base 3?\nAnswer: -1010110112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 2358802297 to the power of 1\/3, to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange u**2 + 2498*u + 99*u + 1029*u to the form a + b*u**2 + d*u and give d.\nAnswer: 3626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 608 and 96?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1 - 1 - 2*j)*(-j**3 - 2*j**3 + 2*j**3) - j**3 + 3*j**4 + j**3 - 2*j**4 + 2*j**4 - 7*j**4.\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is -404 + 0?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Sum -35283 and -29607.\nAnswer: -64890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 7346, 7347, 7356, 7379, 7422, 7491?\nAnswer: 7592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let p(i) = i. Let m(x) = -144*x + 1253. Give m(p(n)).\nAnswer: -144*n + 1253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 4346586*j**5 - 33*j**4*z**3 + j*z**3 - 3*j*z**2 - 15*j*z - 5924*z**3 - 3*z**2 - 1 wrt j.\nAnswer: 86931720*j**3 - 396*j**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: -1452 (base 6) to base 7\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -5*j**2 - 142 + j + 4*j + j - 4*j + j**2 with respect to j.\nAnswer: -8*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -10111111100110001111 (base 2) in base 3?\nAnswer: -1110212112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 54864 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 6 + -1 + -58 + 35 + (4 - -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let p(y) be the second derivative of y**6\/20 + 3*y**5\/20 - 3*y**4\/8 - y**3 + 3*y**2 - 2*y. Factor p(f).\nAnswer: 3*(f - 1)**2*(f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -352061, -1408251, -3168569, -5633015?\nAnswer: -8801589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 9*h - 18 = 3*h. Let p be (1\/h)\/(23\/(-207)). Put 0, p, -5, -0.3 in ascending order.\nAnswer: -5, p, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(s) = 5 - 2*s**2 - 6*s + s - s**2 - 2. Let q(k) = -19*k**2 - 11*k + 12. Let w(t) = -13*t**2 - 7*t + 8. Let z(n) = 5*q(n) - 7*w(n). What is 6*c(a) - 5*z(a)?\nAnswer: 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 12\/(-10)*(-3 - -8). Let u be w\/(-5)*(-25)\/(-10). Suppose 0 = n + 3*g - 3, 0 = -n + 4*g + g + u. Solve 3*q = 5*t, n*q - 11 = -3*t + 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 41710\/26773 + -64\/41. Let b = -34 + 33. Do j and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*f - 4 = 4*f. Suppose -4*v + 6 = -f*v. Suppose 3*a - 180 = v*t + 33, -a = 2*t - 56. What is the highest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 20\/(-2)*((-147)\/63 - 5\/75)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from qgqaqggqqqqqdgqdqqq. What is prob of picking 3 g and 1 a?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1 + 4 = -s. Let z(v) = -2*v + 0 - 7*v**2 + v**3 - 7 + 12*v**2. Calculate z(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 797427\/12708 + 0 + -63?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -391*m + 391*m - 2*m**3 + 13.\nAnswer: -2*m**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 3785*q**6 - 2 - 9476*q**6 + 29*q**2 + 4*q - 3821*q**6 wrt q.\nAnswer: -1141440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) 6\/23 (b) -0.32 (c) -5 (d) -134 (e) -1 (f) -2\/11 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((-1*sqrt(72))\/sqrt(3) - sqrt(24)) + sqrt(24) + (1*sqrt(1944) - sqrt(24)))\/(5*(sqrt(12) + sqrt(48)\/(sqrt(4) - (sqrt(4) + sqrt(144))) - sqrt(12))).\nAnswer: -42*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 37.838 + -38.52. Is j equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 3879\/27 - 2\/(-6). What is the highest common divisor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 457 is divided by 138.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Convert -1b00 (base 14) to base 12.\nAnswer: -2a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1328986 is divided by 2348.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: -1 times -110\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 11527878.\nAnswer: 2, 3, 47, 40879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -157 + 159. Suppose 5*t = 17 + 3. Suppose -3*o - t*a = y*o - 2, -a - 2 = 0. Solve -4*r = 5*d - 32, -o*r - 2*d + 2 = -3*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: -7*40\/(-210)*(-10)\/(-760)\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-341492)\/(-1345710) - 14\/(-105).\nAnswer: 12\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(y) = -2*y**3 + 59*y**2 + 140*y - 60. Determine r(32).\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 2\/7 (c) -0.3 (d) -0.4 (e) -12953\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 13200590 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Is 126339023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 55, 157, 333, 589, 931, 1365, 1897?\nAnswer: 2533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let l(v) = 72*v**2. Let j(m) = 7*m**2. What is l(j(c))?\nAnswer: 3528*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((m\/m**(-3\/2)*m*m**1)**(1\/28))**21 assuming m is positive.\nAnswer: m**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 18\/(-5) - (27\/(-5))\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 2\/(-4) - 1\/2. Let g = 1 + q. Solve -3*b + 3*n + 6 = -g, -28 = -5*b - n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*t + 322 = 2*n + 1100, 0 = 5*t + 2*n - 950. Suppose 8*l - 18 = -l. Factor -59*g - 36*g**l + 34*g - t - 3*g**3 - 46*g - 73*g.\nAnswer: -3*(g + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 573 minutes after 10:07 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 90\/(-3)*(-4184)\/(-9414)*2\/(-8).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let k be 0*(-5)\/45*3. Let m be (k + (36 - -2))\/2. Which is greater: 128\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*w - x + 1144, 33*w - 38*w + 5*x + 2845 = 0. Calculate the remainder when w is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be ((-10)\/3)\/(6\/(-9)). Put 17, x, -1\/4 in decreasing order.\nAnswer: 17, x, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c be 0*(38\/60 + (-8)\/60). Solve c = s - 5*z - 7, -3*s = -5*s + 3*z + 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (-92)\/(-3) - 8\/12. Let j = r - 30. Solve j = -4*k - 0 + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose b = -5*z + 3884, 6*z - 5*z = -5*b + 796. What is the hundreds digit of (-7)\/((-28)\/(-12)) + z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 11399940.\nAnswer: 2, 3, 5, 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: 223.79626*-1\nAnswer: -223.79626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Do 6998 and 7000 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 30219250 = -7*j + 6576750. What is j rounded to the nearest 10000?\nAnswer: -3380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -p + 3*p + 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 56069731 and 23171?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1.44*2.46.\nAnswer: 3.5424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let y(t) = -2*t + 8. Let j(i) = i + 3*i - 7 - 2*i - 4 + 2. Give -3*j(g) - 2*y(g).\nAnswer: -2*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 988 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -1083*v**2\/2 + 4180*v - 24200\/3 = 0. Calculate v.\nAnswer: 220\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0 in 0, -0.4, -1, -892, -15\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Is 6167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 0 >= 7\/192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 34*m**2 - 7*m**2 - 12*m**2 - 12*m**2 - 7*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:38 AM and 2:17 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let r(z) = 6*z**3 - 34*z**2 + 62*z + 64. Let x(o) = -8*o**3 + 27*o**2 - 61*o - 63. Let w(s) = 5*r(s) + 4*x(s). What is w(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-11 - 4) + (-1 - -26) + -81.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve 10*o + 6303 = -181*o for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 2 - 6 - (6 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let a(m) = 26*m - 124. Does 52 divide a(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -1034 + 1034.3. Which is the nearest to -1\/2? (a) r (b) -5 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 84.04006 litres in millilitres?\nAnswer: 84040.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 3240143 times 0.3?\nAnswer: 972042.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 4\/7 + (23506\/98)\/23. Solve 5 = -w*t + 6*t, 7 = -2*m - 5*t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(q) = -q**3 + 12*q**2 - 14*q - 5. Let g be y(11). List the prime factors of (g\/(-6))\/(3 - (-24)\/(-9)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -2\/49? (a) 8 (b) -0.8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let b(d) = 12*d**3 + 7*d**2 + 310*d + 37. Let n(r) = 7*r**3 + 4*r**2 + 156*r + 21. Give 4*b(l) - 7*n(l).\nAnswer: -l**3 + 148*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*u + 157080 = 5*u + 20*u. Is 28 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 52 + -32. What is the remainder when 58 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(v) = -21*v**3 + 11*v**2 + 13. Let d(j) = 10*j**3 - 6*j**2 - 6. What is 13*d(p) + 6*m(p)?\nAnswer: 4*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) -0.03 (b) -2 (c) 0.7 (d) -102.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is -147600453584257 less than 0.2?\nAnswer: 147600453584257.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Is 2282920 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let j(f) = -3*f**2 + 2*f + 9*f**2 - 1 - 5*f**2. Let v be j(-3). Suppose q - 18 = -5*n + 2*n, v*n + 16 = 4*q. Solve -4*d = 4, -q*d - 13 = 5*t - 3*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -51 + 75. Calculate the remainder when 117 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from ccfycccfttctffmmt?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -z**2\/2 - 421*z\/2 + 636 = 0. What is z?\nAnswer: -424, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0.007? (a) 0.2 (b) -3 (c) 66 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1\/2 in -2403107, 3\/4, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Divide 206 by -11.\nAnswer: -206\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*c + 5*y - 50, c - 9 = y - 11. Solve -5*g - c*v = -9*g - 20, -3*g - 25 = -5*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 14893 is divided by 413?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 35951545 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Is 530754995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 67 a factor of 6700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.116 less than 388?\nAnswer: 387.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let h(m) = 54229*m**2 + 62*m - 50. Is h(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -25, -22, 91, 374, 887, 1690, 2843, 4406?\nAnswer: 6439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let u(w) = 36*w**2 - 30*w - 30. Let t(c) = -c**2 + c + 1. Suppose 0 = -12*l + 306 - 318. What is l*u(r) - 30*t(r)?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 5, -13, -251\/2982?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let k(r) = 0*r**2 + 334*r - r**2 + 70 - 311*r. Is 5 a factor of k(25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -37 = 5*z - 3*i, 4*z - 6*z - 14 = -i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Divide -6755760 by 2.\nAnswer: -3377880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence ryb when three letters picked without replacement from {y: 3, o: 1, b: 1, d: 2, r: 3}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is p in 32*p**5\/7 + 100*p**4\/7 - 908*p**3\/7 - 940*p**2\/7 + 8700*p\/7 - 9000\/7 = 0?\nAnswer: -5, 15\/8, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let f(d) be the second derivative of -11*d**5\/15 + 26*d**2 - 38*d. Let u(y) be the first derivative of f(y). Let b(g) = -g. Determine u(b(a)).\nAnswer: -44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2688*d = 2684*d - 2*n - 46, -3*d - 17 = -2*n for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*w + 59 = 2*v - 607, 2*w - 260 = -4*v. Suppose -8*m - 328 = -4*t - 3*m, -2*t = 5*m - w. Calculate the highest common factor of 22 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 10:24 PM and 1:41 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve 95*c + 9403 = 6762 + 5016 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 65\/7 + -9. Let w = -1.7 + 7. Let z = 0.3 - w. What is the smallest value in v, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(p) = p + 27. Let k be n(-23). Let s = -2 + 3. Solve -3*v - k = -s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of 6655645, 6655648, 6655651, 6655654?\n\"Answer: 3*x + 6655642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b(o) = -o**2 + 5*o + 3. Let v = 9 - 4. Let y be b(v). What is the second derivative of -3 + n + y - 3*n**3 wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out -1108.9 * 13.\nAnswer: -14415.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (92 - (64 + -42)) + -35?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in s**3 - 700816 + 700816 - 1782*s.\nAnswer: s**3 - 1782*s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} -{"text":"Question: What is 14379036 to the power of 1\/2, to the nearest integer?\nAnswer: 3792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -3*s**2 + 2*s - 2*s + 0 - 3.\nAnswer: -3*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -11*n**3 + 5*n**2 - 597*n - 2?\nAnswer: -66*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let n(m) = -2*m**2 - m - 1. Let r be 11 - 12 - ((-1 - -3) + -1). Give n(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6 = -3*w - 2*c, 4*w + c - 3*c - 6 = 0. Suppose 4*q - 5*q + 30 = w. Suppose 0 = q*m - 29*m - 4. Solve 5*i = -3*s - 22, 3*i = -2*i - m*s - 26 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 21 = -5*o + 6, 23 = -m - 5*o. What is the units digit of m\/(-2) + 3\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -785896410 + 6*s**2 + 785896410.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-2)\/(((-24)\/9)\/((-176)\/66)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Sort 522, -1030, -0.1, -6\/5 in ascending order.\nAnswer: -1030, -6\/5, -0.1, 522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -601*r**3 + 286*r**3 + 1 - 1 + 298*r**3.\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let v(o) = -3*o**3 + 4*o + 2. Let b(a) = -13*a**3 - a**2 + 18*a + 9. Calculate 2*b(c) - 9*v(c).\nAnswer: c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 481495 is divided by 30093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Sum -18315911 and 21.\nAnswer: -18315890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 1720 and 49235?\nAnswer: 393880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -627 - 885. Let k = x + 1511.9141. What is k rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: (-8)\/(-18)*(-1)\/(-10)*3\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of 875, 5414, 13619, 25490?\n\"Answer: 1833*h**2 - 960*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the sth term of -229519, -918067, -2065639, -3672229, -5737831?\n\"Answer: s**3 - 229518*s**2 - s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let u(h) be the first derivative of h**2\/2 + h + 2641. Let c(k) = -7*k. Give c(l) - 2*u(l).\nAnswer: -9*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 12, k: 3}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let v be ((-10)\/(-15))\/((-2)\/6). Let w = -4 + 7. Let u(l) = w*l + 0 + l + 3 + l**2. Determine u(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(u) be the second derivative of u**6\/120 - u**5\/30 + u**2\/2 + 2*u. Let k(w) be the first derivative of s(w). Let j = -434 - -436. Give k(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 3*p - 2*d - 9, 3*p + 29 = 7*p + 3*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 546 is divided by 137?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 81 and 23571?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -3 and 21518.\nAnswer: -64554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 4*j - 20 - 9*j + 4*j + 17*j wrt j?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (m\/((m*m*m\/((m\/m**39)\/m))\/m))\/m*m*m*m**(-1\/42) assuming m is positive.\nAnswer: m**(-1639\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Put -0.11, -0.3, 1, -8 in descending order.\nAnswer: 1, -0.11, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Put -16, 0.2, 5 in ascending order.\nAnswer: -16, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: 10040527 divided by -8\nAnswer: -10040527\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*h - 7 - 138 = 5*g, -h - 2*h - 2*h = -4*h + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -2342129.9 + 309037.9. Let j = -2033093.700014 - r. Let b = -1.7 - j. What is b rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 3 - -22?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 1021110 - 131033?\nAnswer: 230011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -290 = -17*o + 15*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -27*k**2 + 25*k**2 - 1635*k + 923*k in the form r + n*k**2 + j*k and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -1 in -1, -3, -4, 1.61?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Factor -5*f**2 - 1294170*f + 12942200.\nAnswer: -5*(f - 10)*(f + 258844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Round -3.28861616 to two decimal places.\nAnswer: -3.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve v + 11 = 2*o, 2*o - 2*v - 3 - 7 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -4.7 - 3346490499.81.\nAnswer: -3346490504.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.01463 rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let x(s) = -143*s - 2498. Calculate x(-18).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from pptihiqiiqqiitt. Give prob of sequence qh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is -46060 - 96485.9?\nAnswer: -142545.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 3.407 - 7.373. Let a = w + -0.034. Let l(x) = x**2 - 8*x - 8. Let s be l(9). What is the closest to -2\/13 in -1\/4, s, a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-80)\/192*(-1)\/(-5)*-20?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 27\/4 of a millisecond in microseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let k be 0 - 0 - (-6)\/3. Suppose k*m = -6 + 4. Let a = 3 - m. What is the remainder when 10 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 306781505 by -967765.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*v**4 - 66452*v**3 + 15915480*v**2 - 62864624*v + 62598880 = 0 for v.\nAnswer: 2, 239, 16370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let i(n) = -n**3 + 7*n**2 - 7*n + 6. What is i(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(102)\/(sqrt(6)*-3)*6)**2 + 0.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 43\/10 - 25\/6. Suppose -6*f + 8*f = -30. Let c be 26\/12 - (-10)\/f. What is the third biggest value in c, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 3716 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let s(h) be the first derivative of 1\/2*h**2 - 2\/3*h**3 + 7*h**4 + 35*h + 85. Find the second derivative of s(d) wrt d.\nAnswer: 168*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -1022*y**3 - 1135*y**3 + y**2 - y**2 + 2146*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Does 1087 divide 1386380717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 4*g**3*i**4 - 3*g**3 + 4606*g**2*i - 83*g*i**5 + 2*i**2 wrt i?\nAnswer: 96*g**3*i - 4980*g*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 8095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.1453 * 5.54.\nAnswer: -0.804962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: 4982 divided by -2491\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -101 - -47. Let i = -31 - t. Let h = i + -18. Which is the second smallest value? (a) h (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-260)\/(-117) + (-2)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Express -48*d**2 + 35*d**2 - 2 + 55*d + 11*d**2 as j + v*d**2 + x*d and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 3 n and 1 t when four letters picked without replacement from {n: 9, t: 10}.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let s(q) = -q**3 - 6*q**2 - q + 16. Let c be s(-5). Let n(l) = l**3 + 5*l**2 + 3*l - 4. Let p(r) = -r**3 - 6*r**2 - 4*r + 5. Determine c*n(v) - 3*p(v).\nAnswer: -v**3 - 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Factor l**3\/5 - 243*l**2\/5 - 489*l\/5 - 49.\nAnswer: (l - 245)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Solve 59 = a + 68 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 235\/366 + -29\/61. Let w(x) be the second derivative of -8*x + 1\/80*x**5 - 1\/48*x**4 + 0 - q*x**3 + 1\/2*x**2. Factor w(b).\nAnswer: (b - 2)*(b - 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 882169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -102 = -6*l - 72. Solve -2 = 2*i, -l*c = -7*c + 2*i - 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 80 and 600?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 5 in -1, 18, 0.2, 36, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (2\/8)\/((630\/(-792))\/35).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is 2066764 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: (4 - 1)*(-6)\/18\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: -44 * -52\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence lhdd when four letters picked without replacement from lllllllllhlldldhd?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -2*-4*sqrt(28)\/sqrt(4).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-140)\/42*((-1)\/(-5))\/(-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let b(u) = u**2 + 2*u + 7. What is the remainder when 49 is divided by b(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is -4 + -234023?\nAnswer: -234032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 51 a factor of 215014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 68 - -81. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 1096\/310 + (5 - 8). Let k = g - -2\/31. Which is the third smallest value? (a) -3 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(i) = -5*i - 53. Let h be t(-11). Solve 5*c - h = -4*k - 0*k, -4*c + k + 10 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the sth term of 7, -93, -275, -533, -861?\n\"Answer: s**3 - 47*s**2 + 34*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Express (-3*g**4 + g**2 - g**2)*(0 - 2 + 5) + (g**2 - g**2 - 5*g**2)*(-7*g - 2*g**2 + 7*g) in the form z + q*g + d*g**4 + t*g**2 + n*g**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 1.404532g in milligrams?\nAnswer: 1404.532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:34 AM and 11:22 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 2 - (2\/1)\/(-2). What is the third derivative of 3*z**5 + 5*z**5 - u*z**2 - 3*z**5 + z**2 wrt z?\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 67 - 62. Which is the smallest value? (a) 2\/7 (b) 0 (c) -2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -4*z - 0*z - 44. Let f = -38 + 34. Which is the nearest to -2\/5? (a) 2 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*u - 377 - 21 = 5*d, -900*d + 898*d = -3*u + 91 + 77 for d.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Expand 4*x - 4*x + x + (0*x + 0*x - x)*(1 + 2 - 4) + x + 3 - 3 + 0 + 4*x + 0.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let n(u) = u**2 + 3*u + 4. Let t be n(3). What are the prime factors of t\/(-4)*(-12 + 10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (x**(-12)\/(x\/x**6))\/(x**1*x*((x**(-9)*x)\/x)\/x) assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 111 (base 5) in base 11?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 58 - 55. Calculate the remainder when 3 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(143)*2*1)\/(-2*sqrt(1100)).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Does 40 divide 10092397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 7\/16 of a minute in milliseconds?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 36 - 33. What is the tens digit of ((-3)\/(18\/(-669)))\/(k\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-4)\/1*2535\/156)\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let b(d) = 3*d + 35. Let z be b(5). Calculate the highest common divisor of 75 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(o) = 4*o**2 + o. Let f be l(-1). Suppose 2*g = 5*n - 151, f*n = -4*g + g + 78. What is the remainder when n is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g be ((-12)\/(-8))\/(4\/8). What is the third derivative of -9*l**5 + l**2 + 12*l**5 + 3 - g wrt l?\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(s) be the second derivative of s**4\/4 + 3*s**2 - 16*s. Let f be z(2). Calculate the highest common factor of 270 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from jooalaaa. Give prob of picking 1 o and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in -0.15, -1\/3, -2053\/28?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 1\/12 - (-54)\/72. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between 0.1 and 0.8445?\nAnswer: 0.7445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let l(x) = -x**2 + 25*x - 9. Let u be l(10). Let m = u + 49. Round m to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 2\/4 + 21\/(-50). Let w(j) = -4*j. Let y be (3\/9)\/(1\/3). Let b be w(y). What is the second smallest value in u, 2, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 31753286 is divided by 310.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -321672 divided by -107224.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is 509179167 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*y - 6, -72*b + 341537 = -67*b - y. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(s) = -3*s + 1. Let p(u) = -u. Let y(h) = -h**2 + 11*h + 8. Let r be y(12). Calculate r*p(g) + k(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 16 = v - 3*c - 6, v + 4*c - 22 = 0. Let w = 7 + -5. Suppose v = w*x - 14. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 2098 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*t - 4*o + 6518303 = 0, -t + 3*o - 137453 = -1441125. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 2470\/9*6 - (-328)\/246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 92116554.\nAnswer: 2, 3, 83, 109, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} -{"text":"Question: Let o = -1 - -2.1. Let d = 1.4 - o. Put 0.1, d, -3\/2 in ascending order.\nAnswer: -3\/2, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (-112)\/6 - (-8)\/(-24). Let h be k*-4*(-21)\/12. Let c = -113 - h. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(i) = -11*i**2 - 19*i + 4. Let u(y) = 7*y**2 + 13*y - 3. Let t(c) = -5*l(c) - 8*u(c). Let v be t(-9). Let a = v + -2. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -17 - -17. Let h(s) = 4*s - 5*s + k + s**2 + 3. What are the prime factors of h(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let -3*q**2 + 12*q + 36 = 0. Calculate q.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 58239 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -3630 - -3626.2275. What is d rounded to 1 decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of -3, -35, -67?\n\"Answer: -32*f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 3264 + -88139\/27. Let s = -386933 - -14660504439\/37889. Let p = s - 1553503\/1023003. What is the common denominator of d and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -3069\/2 + 1486. Find the common denominator of 564\/(-68620)*10\/(-3) and a.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1\/9002 in 3, -36.6, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -11102, -11100, -11098, -11096?\nAnswer: -11094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is -d6 (base 16) in base 2?\nAnswer: -11010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Sort 18\/29, 50593, -0.5.\nAnswer: -0.5, 18\/29, 50593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 544407?\nAnswer: 3, 19, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:43 PM and 5:03 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of -3232, -3236, -3254, -3292, -3356, -3452, -3586?\n\"Answer: -k**3 - k**2 + 6*k - 3236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -590 - -289. Let n = -85 - i. Calculate the greatest common divisor of n and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(q) = -5*q + 11568 - 2*q**2 - 4562 - 6999. Let b(n) = n - 5. Let u be b(0). Determine k(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose b + 4*z = 54, -3*b - 5*z = -4*z - 140. Let f = 49 - b. Find the second derivative of 13*y**3 - 36*y**3 + 10*y**f - 23*y wrt y.\nAnswer: -78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find f such that 8\/3*f**2 + 4\/9*f**4 + 0*f + 0 + 28\/9*f**3 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 333a - 574?\nAnswer: 2a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is -9.9976 less than -0.5?\nAnswer: 9.4976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 0 divided by -199.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 20*h**2 - 20*h**2 - 128*h**3.\nAnswer: -128*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -7.4 + 9.4. Let d be 4\/(-6) - (-32)\/39. Let u = 2 - 1. Which is the nearest to u? (a) d (b) n (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 3546 minus -273209?\nAnswer: 276755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 456 minutes after 2:49 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*b + 2*w + 28 = 0, 0 = 3*w - 2*w + 2. Let s(v) = 4*v - 7. Let g(j) = j - 1. Let r(q) = -3*q + 4. Let t(u) = g(u) + r(u). What is b*s(n) + 14*t(n)?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -6*a**4 + 234*a**3 - 234*a**3 + 3*a**2 wrt a?\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((r\/(r*(r*(r*r*r**(11\/2)*r*r*r)\/r*r*r)\/r*r))**(-2\/63)*((r\/(r**43*r))\/r)\/(r**12\/r))**32 assuming r is positive.\nAnswer: r**(-110080\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 3.01 + -4.7. Let q = f - -1.59. What is the nearest to 2\/7 in -0.4, q, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(w) be the third derivative of w**11\/1829520 - w**10\/277200 + 11*w**5\/12 + 15*w**2. Let r(v) be the third derivative of z(v). Let r(s) = 0. What is s?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 44412, 44404, 44378, 44328, 44248, 44132, 43974, 43768?\nAnswer: 43508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 7555044?\nAnswer: 2, 3, 7, 53, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Determine d, given that d**2\/5 + 1848*d\/5 - 269696 = 0.\nAnswer: -2408, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*g = -0*c + 5*c + 11, 5*g + c - 9 = 0. Suppose -5*h - 10 = -30. Solve 5*i + g = -h*f + 1, -i + 2*f = -11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand -1 - z**2 + 1 - z**2 + 0*z**2 + 0*z**2 + (4 - 5 - 1)*(2*z - 2*z + 2*z**2) + 9*z**2 - z**2 - z**2 + 0 + 2 - 4 + 2*z**2.\nAnswer: 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3\/7*l**2 + 6*l - 144\/7.\nAnswer: -3*(l - 8)*(l - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 49 and 126495712.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 88.4 - 87.9. Which is the nearest to -0.1? (a) -3 (b) k (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*t = -3*j - 0*j - 9, 3*j = -2*t - 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 292\/730 - 32*(-2)\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 45.28 - 27.7665. What is y rounded to one decimal place?\nAnswer: 17.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine k so that -2*k**2 + 1030*k + 11536668 = 0.\nAnswer: -2158, 2673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Is -10431 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in 14.34442 litres?\nAnswer: 14344.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Sort -3, 86, -1, 112 in ascending order.\nAnswer: -3, -1, 86, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -7452 + 7472.26. Which is smaller: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*s + 32 = 6*r, 2*s + 4152*r - 12 = 4150*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 262 and 601525931?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-6 - 0) + (584 - 642)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence vzsf when four letters picked without replacement from flgvsvgllzzz.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -59 = -3*u + 3*j + 40, 3*j = -2*u + 51. Calculate the least common multiple of 21 and u.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {l: 1, e: 7, g: 4, t: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let o(l) be the third derivative of -l**5\/60 - l**4\/4 - l**3\/2 - 2*l**2. Let m be o(-5). What is the first derivative of -2*j + 2 - m*j**4 + 2*j wrt j?\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1? (a) -6\/11 (b) 7\/4 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 74135505, 74135506, 74135507?\nAnswer: 74135508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of (-121 + 0)*(-1200)\/75?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -8\/5 in 5, -5, -3\/7, 40?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let g(k) be the second derivative of k**3\/6 - k**2\/2 - 29*k. Let r(i) = -2*i**2 - 3*i - 1. Determine g(p) + r(p).\nAnswer: -2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 80 and 22720?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is -20 + 1965?\nAnswer: 1945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -11 + 7. Let f(y) = y**2 - 7*y - 11. Let a be f(8). Let j be ((-2)\/(-12) + 13\/(-78))\/a. What is the biggest value in 0.01, j, t?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d be -12 + (-207)\/(-18) - 281\/(-2). Let w = -136 + d. Solve w*j - 2*r = -4*r - 2, -5*j = 4*r - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 19 - 12. Let z(h) = 3*h - 9. Let y be z(r). Solve -4*j = -3*j - v + 6, 3*j - v + y = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 194011, 387978, 581945, 775912, 969879, 1163846?\n\"Answer: 193967*v + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is (4*(-2)\/40)\/(15\/(-50))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence ege when three letters picked without replacement from {e: 8, g: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Round -52023870.89 to the nearest 1000000.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: 1755138 divided by 125367\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let r(k) be the second derivative of k**4\/6 - 16*k. Let l(x) = -x**2 - 6*x + 6. Let m(b) = -b**2 - 5*b + 5. Let c(j) = -5*l(j) + 6*m(j). What is r(c(t))?\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*v + 3*v - 2 = 0, -3*v = 4*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 735*q = 269223 - 235413 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((t\/(t*t\/t**(-2\/7)))\/t**(-7\/3))**20*(t**(-1))**(-2\/85)\/((t*t*t**(4\/9)*t)\/t*t*t*t**1) assuming t is positive.\nAnswer: t**(83171\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 123900 and 452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {q: 16, s: 4}. Give prob of sequence qqsq.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 50 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 56 - 225\/4. Let r = 20.1 + -64.1. Let k = 43.8 + r. What is the third smallest value in v, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 14*(-7)\/28*(-23)\/((-3703)\/(-1196)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Is 5793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -14*k + 15*k - 2. Let l(i) = -5*i**2 - 3*i + 3. Determine l(k).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 182 divided by 1443.\nAnswer: 14\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is -254\/35 greater than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 0.1 in -30, 1.32, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -943\/3 - -314. Which is the nearest to 9? (a) -2 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 323.3760975 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Round -66.934373 to 1 decimal place.\nAnswer: -66.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -1441229*d**3 + 394*d**2 - 9*d + 5?\nAnswer: -8647374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(1216)*-4 - sqrt(1216))*-2)**2.\nAnswer: 121600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let b(p) = -3*p**3 + 63*p**2 + 69*p - 77. Give b(22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -o + 2762 = 5*h, h + 128 = 4*o + 672. Calculate the greatest common factor of 24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many litres are there in 1393.421ml?\nAnswer: 1.393421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 33161.\nAnswer: 33161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Convert 2908 (base 11) to base 16.\nAnswer: eaf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(720) + (sqrt(720) - (sqrt(720) - sqrt(720)*-1)) + -5 - 6*sqrt(720)*-1) + -3)**2.\nAnswer: -1152*sqrt(5) + 25984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 3 - 42. Let l = m - -74. What is the remainder when l is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 57, 140, 255, 402, 581, 792?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let w(v) = 37*v + 7. Let n(r) = 32*r + 997. Let h be n(-31). Let z(c) = c + 1. Calculate h*z(d) - w(d).\nAnswer: -32*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Divide -10008 by -10008.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 3*k + r + 3, -73*r = -2*k - 146*r + 40*r + 289 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 18 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (1672\/(-66))\/(91\/273).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in -6\/7, -6, 2, 34\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let b(y) = -6*y**2 - 12*y - 8. Let n(a) = 13*a**2 + 24*a + 16. Let w(s) = 5*b(s) + 2*n(s). Factor w(h).\nAnswer: -4*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(325)*-2*-1 + -3)**2.\nAnswer: -60*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 3336 is divided by 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let n(q) be the second derivative of q**6\/360 + 2*q**5\/15 - 3*q**4\/2 - 2*q + 1. Let z(r) be the third derivative of n(r). Give z(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(252) + 0 + sqrt(252) + 2 - (sqrt(252) + -3*(0 + sqrt(252))) - (3 + (-4 + sqrt(252))*4))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) 1 (b) -9 (c) 0.1 (d) 1\/5 (e) 579\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the cth term of -38424200, -38424201, -38424202, -38424203, -38424204?\n\"Answer: -c - 38424199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from ooogcrcrgzorcozzoz. What is prob of picking 1 o, 1 r, and 2 g?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 3\/((-1)\/((-1)\/1*-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 707 minutes after 4:57 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 7957 + -7948. Let p(h) be the first derivative of 3*h**2 + b - 4*h - 2\/3*h**3. Factor p(n).\nAnswer: -2*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(q) = 15*q - 11. Let h be i(5). Let n = -43 + h. Suppose 5*m = -4*s + 41, -2*s + 2*m = -6*s + 50. Calculate the highest common factor of n and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 0 + 3 + -6*(sqrt(704)*2*1 + sqrt(704)) + -1.\nAnswer: -144*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Are 207814 and 207806 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((u\/(u**(-2\/5)*u))\/u)**(-2\/7)*u**(-1\/7)*u*(u*(u\/u**(-3))\/u)\/u assuming u is positive.\nAnswer: u**(141\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) 0.12 (b) 1 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 24*u - 9*u + 673*u**3 - 8*u - 7*u.\nAnswer: 673*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 13203 + 2?\nAnswer: 13211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of ((-36)\/24)\/((-6)\/592)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1.28, 3\/7, 0.5, -106, 4, 0.03.\nAnswer: -106, -1.28, 0.03, 3\/7, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*f - 20 = 3*f. Let s be (0 - -2)\/((-2)\/f). Find y such that -2*y**4 - 8*y**3 + 14*y**5 - 6*y**3 - 2*y**4 + s*y**2 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 8209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 295 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1037*r = 1041*r + 28, 4*f - 7299 = r. Let j be 2083\/2 + (-2)\/(-4). Suppose -3*h + f + j = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many weeks are there in 18.2423283 hours?\nAnswer: 0.1085852875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Sort 3, -0.5, 127, 0.02.\nAnswer: -0.5, 0.02, 3, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Is 762120677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (170\/816)\/((-10)\/(-6)). Which is the closest to 2? (a) 3\/5 (b) 0 (c) x (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 0.0589 + -0.0589. Let w = 26 - 43. Let n = w - -12. Which is the third smallest value? (a) 3\/2 (b) n (c) x (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 57545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: -76 - -3703.443311774\nAnswer: 3627.443311774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let q(j) = -114*j - 2015. What is the remainder when 215 is divided by q(-18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 5 and 19459?\nAnswer: 97295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 5538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -0.4064 - -0.0064. What is the second biggest value in -249\/2, 2, 3, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:13 PM and 8:03 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 39 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -k + 4 = a - 4*a, 2*k - 2 = 0. What is the remainder when ((-2)\/(-4) + a)*-4 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) -0.32 (b) -0.1 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -61 + 61. Solve -1\/2*q**3 + 0 + q**2 + o*q = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 246601 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Divide -140 by -26.\nAnswer: 70\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let s be (-34)\/(-10) - 16\/40. Suppose -s*c = -2*v + 4, -2*v - 3*v + 25 = 0. Calculate the greatest common factor of c and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 18236*-482.\nAnswer: -8789752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Subtract 4 from -3022.844.\nAnswer: -3026.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (1\/((-5)\/36))\/(-2). Let x = q - 4. Let p = 1.04 + -0.04. Which is the third biggest value? (a) x (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 21*k - 333 + 39 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let m(t) = -3*t + 61. Let k(u) = -5*u + 92. Calculate 5*k(d) - 8*m(d).\nAnswer: -d - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let k(i) = -16*i - 92. What is the remainder when k(-7) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*r = 18, -255 + 257 = f - r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let r(a) = a - 4. Give r(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-9)\/(13959\/470) + 3\/(9\/2)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*b = -17*b + 13149. Let q = b - -2548. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 9.6700539 + -9.67. What is a rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 1.43692682 to 3 dps.\nAnswer: 1.437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let n(k) = -k**3 + 33*k**2 + 37*k - 16. Is n(29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -58*d + 252 - 20 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -3733 + 2444. Let a = 2440 + l. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*l - 64 = -3029*k + 3024*k, -5*l + 65 = 5*k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*d + 3*q - 3 = 0, -24 - 16 = -4*d + 5*q. Find the second derivative of -5*m**3 + 9*m - d*m**3 + 2 - 2 wrt m.\nAnswer: -60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 14727751547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is -10001012120 - -1002?\nAnswer: -10001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0.4? (a) 490 (b) 0.2 (c) -1 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose b - 1 - 4 = 0. Suppose -b*m = -9 - 6. Suppose 10 = m*v + 1. What is the lowest common multiple of 2 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 47985094 to the nearest integer?\nAnswer: 6927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 699 + -699. Suppose t*f + 29 = 2*f + q, f - q = 22. What is the remainder when 63 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 3 - -40. Suppose -z*p - 24 = -51*p. Solve -2*w - p - 1 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 3 c and 1 d when four letters picked without replacement from ddcdddcbccdcbbcdd?\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is -1*958515\/((-150)\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 5 divide 6883675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let b(n) = n**3 + 5*n**2 - 6*n. Let c be b(-6). Let g = c - 0. Suppose g - 8 = -d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(g) be the third derivative of g**6\/120 + 7*g**5\/60 + g**4\/3 + 13*g**3\/6 + 6*g**2. Give m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 4661 and 3397?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 759\/(-36) + ((-22)\/(-24))\/11 + -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 80457 is divided by 170.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from dyyibdbyyddddiddi. Give prob of picking 2 i and 1 y.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 46.5 + -46.259. Let x = q - -2.759. Which is the nearest to 1? (a) -2\/3 (b) x (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(b) = -4*b + 2*b + 3*b + b. Let n(g) = 21*g**2 - 269*g + 8. Let h(r) = 13*r**2 - 180*r + 5. Let q(y) = -8*h(y) + 5*n(y). What is q(d(a))?\nAnswer: 4*a**2 + 190*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*z**3 + 2*z**3 - 3*z**3)*(-3*z - 3*z + 4*z) - 2*z**4 + 0*z**4 + z**4 + (148*z**3 - 28*z**3 + 101*z**3)*(2*z + 5 - 4 - z).\nAnswer: 218*z**4 + 221*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Divide 716396043 by -10763.\nAnswer: -66561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*z + 2*l - 82 = -2*z, 4*l + 36 = z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 15*c*v**3 + 2*c*v**2 - 10*c + 23914*v**3 wrt c?\nAnswer: 15*v**3 + 2*v**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Convert 3 (base 12) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 646 minutes before 4:09 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 102 a factor of 746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (1 - -1)*(5 + -1). Let x be 2\/(-7) + 900\/14. Calculate the greatest common factor of x and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 12 and (-1 + 0)*(-14 - -10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(o) = o**3 + 6*o**2 - 27*o. Let d be x(-9). Suppose 2*y + 5*c - 2505 = d, -4*y - c = -7441 + 2404. What is the least common multiple of 8 and y?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(p) = -7*p**2 - 42*p + 11. Let g be l(-6). Suppose 2*r - 7*k = -g*k + 22, -k + 23 = 4*r. Solve -r*t + 5*o = -10, 3*t = t - 5*o + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-11 + -1 - -9) + (4 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Sort 0, -5, -2, 160, -3 in increasing order.\nAnswer: -5, -3, -2, 0, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let k(z) = -12*z. Let t be k(-1). Suppose -10*m + t*m = 4. Solve m = -n - 0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 49*u + 100*u + 1788 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Expand (28 + 6*x + 3*x**2 - 59 + 35)*(-x**2 - 2*x + 2*x).\nAnswer: -3*x**4 - 6*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence yeq when three letters picked without replacement from wyqyew?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Does 43 divide 1279076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve 13*y + 87 + 301 = 167 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -0.3 (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -210 - -233. Suppose 95 = 5*n - 3*k, 3*k + 4 = -11. Let i = u - n. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2550 = 2459*l - 2464*l. What is the greatest common divisor of l and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Are -1\/94 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 21164982 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 34 - 30. Suppose 0*d = 2*d + 4*k - 20, 3*k - 1 = 2*d. Suppose 3*r - d = 5. Is r at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(a) be the first derivative of -a**6\/40 + 3*a**2\/2 - 3. Let m(p) be the second derivative of c(p). Determine h so that m(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be 138\/414*0*2\/(-4). Let b(p) be the second derivative of j*p**4 + 0 + 0*p**3 + 9*p + 1\/4*p**5 - 1\/2*p**2. Differentiate b(q) with respect to q.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 14053 and 2314559?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let a(j) be the third derivative of j**6\/120 + j**5\/12 - j**4\/24 + j**3\/6 + j**2. Let c = -34 - -29. Determine a(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(l) = -4*l**3 - 2*l**2 - l + 1. Let t be h(-1). Let i(y) = -4*y - 4. Let w(c) be the second derivative of -5*c**3\/6 - 5*c**2\/2 + 2*c. Give t*i(f) - 3*w(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let s(m) = -2*m**2 - m. Determine s(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -1413 + -3077148.\nAnswer: -3078561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from tejctejttetjcyjt. Give prob of sequence ety.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 195750360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*y - 145 = -10*u, 2*u - 57 + 36 = 32*y - 31*y for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let s(y) = -y**3 + 147*y**2 - 4416*y + 45. What is s(42)?\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 133151*x**3 + x**2 - 44687*x?\nAnswer: 798906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let v(o) = -9*o - 170. Suppose -2*q + 13 = 5*l - 6*l, 0 = 4*l - q + 66. Calculate v(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 4 + -1 + 1 + 1 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let p(a) = a**4 + a - 1. Let m(v) = 3 - 25*v - 1 - 46*v**4 + 28*v**3 + 45*v**2 - 1. Let w(r) = -2*m(r) + 6*p(r). Factor w(q).\nAnswer: 2*(q - 1)*(q + 1)*(7*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -4.461 - -0.071. Let i = g + -6.37. Let n = -11 - i. What is n rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the millions digit of 1747439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -1330 + 1904. Suppose 7*v - z - 14 = 0. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 41*i**5 - 2*i**4 - 9390*i**3 - 14*i**2 + 15202?\nAnswer: 2460*i**2 - 48*i - 56340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is 22242112 (base 5) in base 7?\nAnswer: 1445660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -6940 divided by 694.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 1466 - 858. Suppose -5*x + 457 = 4*b - 1018, l = 2*x - 2*b. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 33651058813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 152317.\nAnswer: 11, 61, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from huhp. Give prob of sequence uh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let f(p) = 10*p - 4*p**2 - 8 + 2 + 5*p**2. Let s be f(-11). Solve -y + 32 = 2*y + 5*k, s*y = -3*k + 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 635*r - 628*r - 42 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Total of -428.58 and -0.2.\nAnswer: -428.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Divide -987 by -329.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 47, 25, -15, -79, -173, -303, -475?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (27\/((-1701)\/(-18)) - 52\/(-14)) + 0. Let c be ((-4)\/8)\/((-3)\/4). What is the second biggest value in y, c, 0.012?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -3c59b (base 14) to base 11\nAnswer: -a2191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:14 AM and 10:01 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 12 = 3*g, 18*g - 12 = 4*y + 19*g. Let t = -1.3 - -1.1. Sort -2, t, y.\nAnswer: y, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (p**(-6)\/p*p*p**(1\/6))\/(p**0\/p*p*p)**29 assuming p is positive.\nAnswer: p**(-209\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Round 8379.2605 to the nearest ten.\nAnswer: 8380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let a be 657*(15\/(-40) + 1\/24). Let h = a - -1091\/5. What is the nearest to 2 in h, 1, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 1170 and 5395.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -18078450 + 18078257.00034. Let w = g + 193. Round w to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.3 take away -0.9506416?\nAnswer: 0.6506416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 t, 2 o, and 1 z when four letters picked without replacement from ggmzggmozgggggtgggom?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 8 (c) -136 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: 1470\/(-20)*(88\/126 - 580\/18270)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(m) = 6*m**2. Let r(p) = -64*p. Calculate r(k(x)).\nAnswer: -384*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 207 + 208. Calculate the remainder when m is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -10 divided by -47639?\nAnswer: 10\/47639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (-403)\/(-52) - 2\/(-8). What is the highest common divisor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 1686 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 702*o - 700*o - 248. Let h = 125 - o. Which is greater: h or -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (h\/(h\/h**(-1\/3)))**(-1\/10)\/(h\/h**6*h\/(h\/h**2)) assuming h is positive.\nAnswer: h**(91\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1938 - 2610 - 4585 = -751*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 138, -476, -1490, -2898, -4694, -6872?\nAnswer: -9426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 146 + 14 = -4*v. Let t(s) = s**3 + s**2 - 3*s + 3. What is the remainder when (-352)\/(-10) - (-8)\/v is divided by t(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 9582?\nAnswer: 2, 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 453 minutes before 9:07 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqsqqssqqqqhqshhq.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -58.2411 - -4.1071. Let q = z - -0.134. Let w = q - -40.6. What is w rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(j) = -j + 11. Let t be b(10). Suppose -31 = 4*i + f, -f - t = -i - 5. Let y = -4 - i. Calculate the highest common divisor of y and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 315354 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: Round 0.00017022 to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*t + 2*q - 40 = 0, -5*t + 2*q = q - 40. Suppose 0 = -4*f + f - 18. Let a be (-6)\/(-36) + (-47)\/f. Do a and t have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 516\/(-903)*7*2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-4)\/(-5) + 13\/(-13)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 1 - 3*j**2 - j + 4*j - j + (2 - j - 2)*(3*j + 2*j - 3*j) + 3 - 3*j**2 - 3.\nAnswer: -8*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 0.1? (a) 25554 (b) -4 (c) 0.5 (d) -1\/2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (6*(1*sqrt(180))\/sqrt(10))\/((sqrt(225)*1 + sqrt(225))*-3 + sqrt(225) - sqrt(225))*-1.\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let a(n) = 2*n - 12*n + n. Let o(b) be the second derivative of b**3\/6 - 1089*b - 2. Calculate a(o(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 13\/23 - 778\/115. Calculate the common denominator of (-71)\/(-14) - (-2)\/(-4) and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (-4)\/(-48)*-298 + 16\/(-96). Let l(f) = f**2 + 29*f + 107. Let o be l(x). Is 7 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {n: 1, r: 1, o: 1, e: 2}. What is prob of picking 1 r and 3 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let w(g) = 3*g + 7. Let u(q) = -q**2 + 5*q + 13. Let n(y) = -y**3 + y**2. Let r be n(0). Let k = -4 + r. Let v(j) = k*u(j) + 7*w(j). Solve v(s) = 0.\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: -1190 * -16742\nAnswer: 19922980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let l(a) = -2*a**3 - 15*a**2 - 6*a + 10. Let y be l(-7). Let z(t) be the first derivative of 3 - 2*t - 1\/3*t**y - 3\/2*t**2. Find c, given that z(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 2914 + -2913.93. Which is the nearest to -14? (a) -0.1 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(m) = -30*m**3 + m + 1. Let w be b(-1). Suppose -4*l - 55 = -335. Let z = l - w. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let -3*y**4\/4 + 135*y**3\/4 + 729*y**2\/4 + 1041*y\/4 + 225\/2 = 0. Calculate y.\nAnswer: -3, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let h(d) be the first derivative of 2*d**3\/3 - 34*d**2 + 66*d + 111. Let w be h(33). Factor 2\/7*a - 1\/7*a**2 - 1\/7*a**3 + w.\nAnswer: -a*(a - 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the oth term of -110, -223, -424, -719, -1114?\n\"Answer: -o**3 - 38*o**2 + 8*o - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 61775 + -43519. Let a be (b\/(-12) + 4)*-3750. Round a to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(c) be the third derivative of 8*c**4\/3 - 5*c**3\/6 + 14*c**2 + 14*c. Let p(k) = -416*k + 32. What is -5*p(y) - 32*w(y)?\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 17404 and 380.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 168a7 - 2?\nAnswer: 168a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let d(s) = -20*s**2. Let m(p) be the second derivative of 52*p**3\/3 + 3033*p. Calculate d(m(y)).\nAnswer: -216320*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 135 and 460575?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in 0.3, -3\/8, -2, 0.08, 0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Put 0.13, -4, 52, 0.5, 29 in descending order.\nAnswer: 52, 29, 0.5, 0.13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 12505 + -8428. Calculate the greatest common factor of t and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(k) = -k**3 + 16*k**2 + 22*k + 197. Calculate h(18).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let g(q) = 25*q - 23. Let y(o) = 24*o - 18. What is 4*g(j) - 5*y(j)?\nAnswer: -20*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: -0.0048951 * 0.575\nAnswer: -0.0028146825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let s(r) be the second derivative of -3*r**5\/20 - r**4\/4 + 2*r**3 + 6*r**2 + 3*r + 13. Factor s(f).\nAnswer: -3*(f - 2)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -6440285*l - 16500437.\nAnswer: -6440285","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -101\/273252 and -16\/614817.\nAnswer: 2459268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there in 19\/9 of a day?\nAnswer: 3040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -1 in -164, -4\/11, -5, 1453?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oroorororoooorroooo?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.0006722 rounded to 5 decimal places?\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in 2.8, -11, 2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 689 minutes after 10:56 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Expand -2*w**2 - 13*w**2 + 3*w**2 + (-7*w + w - 7*w)*(4*w - 7*w + 2*w) - 4*w + 4*w + 2*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose t + t + 5*m = 219, 5*t + 3*m - 538 = 0. Let k = 163 - t. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 66.5 - 17003.\nAnswer: -16936.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (-15)\/(-25)*((1 - -2) + 2). Suppose -z + 2*m = -409, -r*z + 757 + 495 = -m. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(r) = 16*r - 66. Let l be z(5). Suppose -30 = -20*j + l*j. Put j, 2, 7 in decreasing order.\nAnswer: 7, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (-1588)\/(-3)*75\/(-10). Let s = -1685 - b. Suppose 10*u - 5*u = s. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -58188*b*x + 50*b - 2*x + 1156 with respect to x.\nAnswer: -58188*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: 2 divided by 317\nAnswer: 2\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve -28 = -52*k + 54*k - 10*r, k + 2*r = 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Is 1581142 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 2*(-1 - 9\/(-6)). Suppose -l = -z + 6. What is the remainder when z is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -4, 94246, 2 in decreasing order.\nAnswer: 94246, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Is 64 a factor of 124160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let c be (-1020)\/(-24) + 2\/(-4). Suppose 0 = -2*n - 2*p - c, -n + 3*p + 27 = -2*n. Let g = n + 21. Solve -3*a - g*w = -2*a, -5*w + 20 = -5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -21263\/3000 or -8?\nAnswer: -21263\/3000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from opkrkkkhhrbbhh.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: ((-2)\/3)\/((-6)\/(-54)*6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let v be -2*1*2\/4. Let s be (-4 - 2) + (2 - v). Let h be s - (-8 + 3 - -3). Do 0 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*y + 12 = 4*b, 0*b + 24 = 4*b - 4*y. Suppose 108 = b*n + 5*v, 0 = -12*n + 7*n - v + 135. Calculate the remainder when 106 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -91 in 5, -3, 2, 1\/200?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 19818 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-1 + 3*(5*(sqrt(1900) + (sqrt(1900) - (-2 + sqrt(1900)) - sqrt(1900) - sqrt(1900)) + -4) + 5))**2.\nAnswer: 4800*sqrt(19) + 427756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Does 51 divide 561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*g - 5*i - 60 = 0, 4*g + 4*i - 65 = -17. Suppose 4*b - 9 = b. Sort -4, g, b.\nAnswer: -4, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8668 = -25*g - 8793. Which is the third smallest value? (a) -2 (b) g (c) -0.2 (d) 2\/11 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(y) = y**2 + 2*y - 5. Let o = 3325 + -3327. Let u(x) = 6 - 4 - x - x**2 + 0 - 1. Determine o*u(z) - r(z).\nAnswer: z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let d(z) = 37995*z + 7991. Is d(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: (((-1020)\/(-320))\/(-51)*-40)\/((-3)\/(-30))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -15*z + 20*z - 35 = 5*k, -4*z + 49 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Is 7361 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 699761542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.000203 to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is 432 minutes before 2:30 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: How many seconds are there in 7\/4 of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is -424570 + -7?\nAnswer: -424577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 9 and 164.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 9 - 6. Suppose g = u*f + 1, 0*g + f + 15 = 4*g. Let x(i) = 2*i**3 - 3*i**3 - i**2 - 1 + 6*i**2 - 4*i. Give x(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(c) be the third derivative of c**4\/24 + 5*c**2 + 147*c. Let i(z) = 4552*z**2. Calculate i(l(d)).\nAnswer: 4552*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let f(w) be the first derivative of -2*w**3\/3 + w**2 + 4*w + 9. Let a be f(0). What is the second derivative of 0*r**4 - 7*r**4 - 9*r**4 - 10*r + r**a wrt r?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*d + 2*b + 13 = -0*d, 4*b = 2*d - 14. Suppose -3 = -g + 3*p, 5*g - 2*p = 2*p + 15. What is the derivative of 4*s**3 + 2*s**d + 2 - 4*s**g wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -c + 6*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (l**7\/(((l*l**(5\/3))\/l)\/l))\/(l*l**(-3\/4)*l\/(l**(3\/4)*l*l))*(l**(-8)\/(l*l\/(((l**(2\/11)*l*l*l)\/l)\/l)*l))**(-5\/16) assuming l is positive.\nAnswer: l**(1439\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 159 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -127\/3301540 and -17\/28813440.\nAnswer: 316947840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is 339224898 to the power of 1\/3, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -0.7 + 0.3. Let z be (-672)\/(-30)*(-285)\/22. Let l = z - -290. What is the nearest to -2 in l, g, 1\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 94935000 rounded to the nearest one million?\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve 6043*u = 6036*u + 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 169 = -34*j + 37*j - 5*a, -4*a = -4. What is the remainder when 1158 is divided by j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (6\/5)\/(3\/20). Suppose -u = -4*l - 0*l. Suppose -4*d - d - 10 = 0, 0 = l*m - 3*d - 28. Solve -4*q + m = -4*w + 3*w, 18 = 2*w + 2*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 10262.336 to the nearest 10.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -26.5 - -26. Which is the smallest value? (a) 1\/2 (b) z (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -2101230011 (base 4) in base 12?\nAnswer: -249405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 1.71 + -2.01. Which is the fourth biggest value? (a) u (b) 27 (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -4 + 5*(3*(-1 + sqrt(539))*3 - -1*-4*sqrt(539)*-2)**2.\nAnswer: -10710*sqrt(11) + 779256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -585 or -586?\nAnswer: -585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 6440977\/8 - 810572. Let y = x - -5441. Find the common denominator of -71\/8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 92233168?\nAnswer: 2, 1423, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: 79\/((-36)\/1116*31)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Subtract -0.12 from -58110767940.\nAnswer: -58110767939.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is 105 - -22a4b?\nAnswer: 22b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 34 - 25. Calculate the remainder when 43 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -0.5 - 0.3277.\nAnswer: -0.8277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 7853 + -7112. What is the greatest common factor of j and 513?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 3427215 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let p(y) = -5*y**3 - 9*y**2 - 5*y + 1. Let c be p(7). Round c to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 333.254 - -0.746. Let l = i + -330. What is the closest to -2\/9 in -2, -1\/3, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange d + 11*d + 6*d to s*d + n and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 260590173 to the power of 1\/3, to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*m - 7208 = -28750. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 1069989289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is 1562683764 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify v*v\/(v\/((v*v**(-5))\/v))*v*v**(-5) assuming v is positive.\nAnswer: v**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:15 AM and 8:07 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-30)\/(-18)*9\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from zrnqyyt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let z(m) = -m**3 + 6*m**2 - 2*m - 11. Let t be z(5). Suppose -4*q - 4*d + 488 = 0, -4*q - t*d - 373 = -7*q. Suppose q = 5*v - 87. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b be -15 + 0 + -2 + 3. Let i be (-28)\/(-8)*(-16)\/b. Factor 2*o**3 - 4*o**5 + 4*o - 2*o**3 - 8*o**i + 8*o**2.\nAnswer: -4*o*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -4*j - 14*j**4 - 18*j**3 + 26*j**3 - 8*j**3 wrt j.\nAnswer: -168*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in -483, 2\/17, 2, -1.5, 3, -41?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*i**2\/11 + 1384*i\/11 - 16450.\nAnswer: -2*(i - 517)*(i - 175)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is 10 - (2 + (25 - (-1 + 19)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Determine o so that 2*o**4\/15 + 41044*o**3\/15 - 821546*o**2\/15 + 2752532*o\/15 - 657344\/5 = 0.\nAnswer: -20542, 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is -1229751847.42 take away 11687?\nAnswer: -1229763534.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 91815 divided by -1?\nAnswer: -91815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from emewzvzwzezwmdz. Give prob of sequence vdw.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 4\/(-8) + 5\/2. Suppose -u*n + 3*i = -7, 2*i = n + n - 4. Let y be 28*n*(-11 - -5). Calculate the highest common divisor of 21 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -12934 - -23487. Suppose -12*s + a = -14875. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(w) = w**2 + 2*w + 7. Let b be (4 + -4 - -7)*1. What is the units digit of n(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 2 - 6519*l - 2 - 1586*l - 3.\nAnswer: -8105*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 264*n**2 + 3 - 255*n**2 - 3.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let t(g) = g**2 + g + 1. Let r(h) = 6*h**2 + 6*h + 5. Suppose 4*f - 10 = z, -2*z - 2*f + 2 = f. Give z*r(u) + 10*t(u).\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let y(u) be the second derivative of -7*u + 0*u**3 - 4\/3*u**4 + 0*u**2 + 0. Let x(s) = 2*s. Give y(x(b)).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let y(c) = c**2 + 773*c + 3851. Let f be y(-5). Let o = -2100 - -3200. Suppose f*i + o = 15*i. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n be (19 + -19)\/(-4 + -7 - -6). Let a(p) = -p**3 + p - 5. Let t(i) = -i**3 - 1. Let k(m) = a(m) - 2*t(m). What is k(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (s*s*s**(-34))\/(s**(-1\/10)\/s) assuming s is positive.\nAnswer: s**(-309\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let i(f) be the second derivative of 0*f**5 + f + 59\/10*f**6 - 12 - 95\/12*f**4 + 0*f**2 + 0*f**3. What is the third derivative of i(o) wrt o?\nAnswer: 4248*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 128 + -133. Which is the third biggest value? (a) -13 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 718081 to the power of 1\/2, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*x + g - 2579, -372*x + 376*x + 3*g = 2061. Calculate the remainder when x is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/10 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Put together -50 and -11655.9553768.\nAnswer: -11705.9553768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -0.2? (a) -36 (b) 0.0835 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {l: 2, c: 5}. What is prob of picking 3 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from {f: 6, l: 2, z: 1, w: 3, t: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 572\/91 + (-2)\/7 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*o**4 + 52*o**3 - 418*o**2 + 968*o.\nAnswer: -2*o*(o - 11)**2*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*w + 0*c + 4*c = 44, c + 13 = 2*w. Let k = -6 + w. Suppose -3*d + k*d - 3 = 0. Let h(q) = q - 1. Calculate h(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 48212824 to the nearest integer?\nAnswer: 6944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Convert -31342 (base 6) to base 11.\nAnswer: -3203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (p**(-2\/7)*p*p**16*p)**28 assuming p is positive.\nAnswer: p**496","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -77*g = -75*g - 255022. Suppose 5*q - 3*s = g, 2 = -s - 0*s. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 44*r**2 - r + r.\nAnswer: 44*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {i: 1, k: 5, q: 2, f: 4, g: 2}. Give prob of picking 1 g, 1 i, and 1 k.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*u = -7 + 3. Is u > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-34)\/(-8) - (-2)\/(-8). Find the third derivative of -2*h**5 + j*h**4 - h**2 - 4*h**4 - h**2 wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(x) be the first derivative of -x**4\/4 + 2*x**3 - x**2 - 6*x + 1. Suppose -4*i + 5*z = 2 - 42, 2*z + 23 = 3*i. List the prime factors of w(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 7\/2 (b) -6 (c) -5 (d) 4\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let g(j) be the third derivative of 5\/24*j**4 + 7*j**2 + 0*j + 1\/12*j**5 + 0 + 0*j**3. What is the second derivative of g(h) wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 2032*69.\nAnswer: 140208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 10*x - 7*x = 1131. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 24\/(-54) + 15200\/(-1440).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from dyvng. Give prob of picking 1 n and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 1.9 - 3.5. Let a = -2 - p. Let v = a + 0.3999987. What is v rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 31933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 96\/18*(1 - -2). Let n = u + -14. Calculate the remainder when 103 is divided by 1\/((-2)\/(-140)*n).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*x - 2*x**2 - 2*x)*(-41*x + 25*x + 6*x - 13*x**2 + 5*x**3).\nAnswer: -10*x**5 + 26*x**4 + 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 16659, 16702, 16765, 16842, 16927, 17014, 17097, 17170?\nAnswer: 17227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from opmuxpyopomy. What is prob of picking 1 u, 1 y, and 1 p?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1441409132?\nAnswer: 2, 8543, 42181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is -6 + 1 + (23 - 14 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*j - 102 = -3*j. Suppose k - 121 = -5*b - j, b - 2*k - 13 = 0. Let d = b - 8. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*n - 64 = 6*w, -w + 4*w - 17 + 57 = -w + 3*n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let w(p) = p**3 + 11*p**2 - 24*p + 24. Let b be w(-13). What is the second biggest value in 0, 1\/4, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence wnb when three letters picked without replacement from bbvvvwvmnwvmbmn?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 44\/73310685 and -19\/70.\nAnswer: 146621370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from icciicjcccijjc. What is prob of picking 1 j and 2 c?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the lth term of -41, -101, -187, -299, -437?\n\"Answer: -13*l**2 - 21*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 193055 is divided by 64114.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -u + 2 = -4. Let d = 4 - u. Let p = d + 4. Put 3, p, -2\/5 in descending order.\nAnswer: 3, p, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(c) = -2*c**2. Let d(k) be the first derivative of 77*k**3 + 1200. Give l(d(g)).\nAnswer: -106722*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is -4*((-9)\/(-21))\/((-153)\/(-1071))*(-1)\/(-45)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 128*l - 135 = 125*l. Calculate the remainder when l is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 60 - 20. Let a be (u\/(-50))\/(4\/(-10)). Let z(k) = -8*k + 5*k**a + 4 - 6*k**2 + 8*k. Determine z(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be ((-6)\/(-12))\/(-2 + 21\/10). What is the nearest to 0.05 in 3, p, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 256668533 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.72 less than -7.3989?\nAnswer: -8.1189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(7) + (-2 + 3*sqrt(7))**2 - sqrt(567)*4.\nAnswer: -47*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 5 + 4 + (4 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 159841162.\nAnswer: 2, 13, 6147737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let s(g) = -1318*g + 193. Calculate s(1).\nAnswer: -1125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -27 = -4*o + 3*w, -2*w + 4*w = -5*o + 5. Let y(u) = -3*u + 4. Let v be y(o). Sort 4, v, -3.\nAnswer: v, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is -314 - 2?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 11\/(16 - 5)*8. Calculate the greatest common divisor of 212 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -18 = 5*h + 52. Let j = -8 - h. Let w(g) = g**2 + 17*g + 70. Let c be w(-7). Solve 2*x - r = -j, c*r - 3*r + 4 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -34.75 + 35.25. Suppose -2*a + 7 = -0*x - x, -a = 2*x - 11. Let l = 10 - 10.5. What is the closest to -0.3 in b, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(b) = -2*b**3 + 28*b**2 - 4. Let s(p) = -p**2 - 192*p - 571. Let h be s(-3). Let l(k) = k**3 - k**2 + 1. Calculate h*l(c) - o(c).\nAnswer: -2*c**3 - 24*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Express -473 + 159 + 155 + 109*y**3 - y + 159 + 2*y**2 as s*y**3 + t*y + d + m*y**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 247\/7 - 487\/14. Put r, -15, -68, 4\/3 in increasing order.\nAnswer: -68, -15, r, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3*u + 4*u - 2*u)*(2*u + 0*u + 4*u) + 23*u**2 + 32*u**2 - 11*u**2 - 2*u**2 - 3*u + u**2 + 15 - 13.\nAnswer: 37*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose w + 15 - 4 = 0. Let o = -11 - w. Let g = 418 + -417. Put o, 2, g in descending order.\nAnswer: 2, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 13885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Solve 94*k = -536 - 28 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 15383783 and 22837?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.000018448844 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -1 + (-14)\/10 + (-36)\/60?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3 = 3*o - 15. Suppose 5 + 7 = o*b. Let y(n) = n**3 - 4*n**2 + 4*n - 3. Let q be y(b). Sort q, 4, -4 in descending order.\nAnswer: 4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {b: 5, g: 1, c: 5, m: 3, e: 1}. Give prob of sequence mc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let h be 406267\/1 - 0\/(-23). Let q = h + -1095267. Round q to the nearest 10000.\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(t) = -t**3 + 16*t**2 - 16*t - 16. Let v be i(12). What is the greatest common divisor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 0.0506 - -6.0694. Let y = 4.12 - s. Put y, 0, 1\/3, -3\/5 in decreasing order.\nAnswer: 1\/3, 0, -3\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 534 by -173116.\nAnswer: -267\/86558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let w(i) be the third derivative of -i**6\/48 - i**5\/120 - 2*i**4\/3 + 22*i**2. Let k(u) be the second derivative of w(u). What is the units digit of k(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -u = 5*v - 15, -3*v + 5*u + 21 = -4*v. Solve 0 = -5*h - v*o - 10, 3*h - o + 6 = 3*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: -1037913 times 0.11\nAnswer: -114170.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -22 + 43. Let i be (-8)\/(-52) - 256\/(-26). Suppose -j + i = -d. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 676 divided by 1?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: 125454 divided by 7\nAnswer: 17922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(190) + -6*(sqrt(190) + (-1*sqrt(190) + sqrt(190) - sqrt(190))))\/sqrt(10).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 380 - 380 + 114*j to the form h*j + z and give h.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -47 - 9?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: 1010100022 (base 3) to base 4\nAnswer: 11121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is -1 (base 6) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: How many years are there in 79\/2 of a century?\nAnswer: 3950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let q(g) = -g + 1. Let b(n) be the first derivative of 4*n**3\/3 - 2*n**2 + 4*n + 5. Let j(s) = -b(s) + 4*q(s). Let p(h) = h - 2*h + 0*h. Give p(j(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.000025081 rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Express 522 + 2*r**2 - 2*r + r - 525 - r**3 in the form d*r + t*r**3 + i + b*r**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 11572273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*j + 2*j = 0. Suppose 5*m - 15379 - 396 = j. Suppose -3*n + 4*y = -m, -2 = -0*y + y. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5 + 4 = -n - 2*i, 2*i = 4*n + 16. Let t(o) be the third derivative of -o**5\/60 - o**3\/3 + 3*o**2. Let r(x) = -2*x**2 - 5. Give n*t(k) + 2*r(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: (-6 - -3 - -3) + (-32 - -26)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand -3079*m**3 - 29*m + 2*m + 22*m + 5*m + (5*m**2 - 4*m**2 + m**2)*(-m + m - 2*m) - 2*m**3 + m - m.\nAnswer: -3085*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let r(l) = -1600*l + 55. Let c be r(-9). Suppose -c - 44927 = -18*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a be 7315 + (-14)\/(-3)*54\/63. Suppose -6*n + 2431 = -a. Suppose 8*u - n = 31. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 911156.2l to millilitres.\nAnswer: 911156200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -13 = -2*c - 3. Suppose o = c*l + 66, -4*o = -l + 3*l + 22. Let n = 30 - l. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 8*f + 14*f - 1886734 - 230128. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -0.9, 0.03, -2\/7, -1\/7, -437 in descending order.\nAnswer: 0.03, -1\/7, -2\/7, -0.9, -437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 202 - 199 - (-5 - -30).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 1793.0774 - 1794. Let y = -0.88 - p. Round y to 3 decimal places.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 3685 - 3711.554. Round j to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 610 minutes before 5:45 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3*u**3 + 3*u**2 + 6*u.\nAnswer: -3*u*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Sort 4, -3, -102, -40, 3, 487 in descending order.\nAnswer: 487, 4, 3, -3, -40, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let v(p) = 4*p - 1. Let b be v(1). Let s(l) be the second derivative of 0 + 1\/18*l**4 - 2\/9*l**b + 1\/5*l**5 - 1\/10*l**6 - 1\/6*l**2 + l. Solve s(z) = 0 for z.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 1 or -285446784?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 410939244 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 0.1 (c) 124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let s(v) = -4373*v + 43715. Calculate s(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Add -0.229 and 6.\nAnswer: 5.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -3 + 0. Let o(q) = -22*q. Let x be o(z). Let k = 131 - x. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in -2\/631, 2\/21, -0.122, 41?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*u = 69 + 1. Let o = u - 10. What is the greatest common divisor of o and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express (-1 - 2 + 2)*(-2 + 2 - o + (o + 5*o - 4*o)*(4 - 2 - 1) - 2*o + o + 3*o - 4 + 6 - 5 + 2*o) as c + g*o and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -200 + 206 + -1 + -24 + 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-11)\/((-33)\/5)*(-12)\/(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-d + d - 2*d**3)*(-1 - 1 + 3)*(-1 + 1 - 5).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*q = q - 3*u + 5, 4*u = 4. What is l in -27*l + 11*l + 8*l + 2*l**q - 18*l = 0?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 5393825\/89 smaller than 60605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -2*h**3 - 10307146*h**2 - 155771507 wrt h.\nAnswer: -6*h**2 - 20614292*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: -87 (base 12) to base 3\nAnswer: -10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -82 + 130. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express (4*p - 20*p - 2*p)*(9*p - 5*p - 17*p) + 3*p**2 - 2*p**2 - 2*p**2 in the form z + t*p + o*p**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -851*w + 858*w - 28 = 0. Solve -2*r = -5*u - 6, -w*u - 4*r - r = 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 335 divide 45895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -96 + 104. Let g(d) = -8*d + d**2 + 2 + 0*d**2 + 1. What are the prime factors of g(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (u*u*u**(4\/5)*u**(-7)*u**(3\/2)\/(((u*u*((u\/(((u\/u**(2\/13))\/u*u)\/u)*u*u)\/u)\/u)\/u)\/u))**16 assuming u is positive.\nAnswer: u**(-4008\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Find z, given that 5*z**5 - 535*z**4 + 21590*z**3 - 392860*z**2 + 2832440*z - 2460640 = 0.\nAnswer: 1, 26, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*b + 136 = 3*a - 121, -2*b + 176 = 2*a. Suppose -a*y - 42 = -89*y. Let r(l) = l + 3. Let z be r(4). What is the greatest common divisor of y and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Total of 25 and -4895993.426.\nAnswer: -4895968.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let v(x) = -5*x**3 + 12*x**2 + 17*x. Let q(k) = -12*k**3 + 8*k**3 - 5*k**3 + 8*k**3 + 2*k**2 - k. Let f(t) = 12*q(t) - 3*v(t). Factor f(g).\nAnswer: 3*g*(g - 7)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -1378 + 5467. Suppose n - 469 = 20*x. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in 1, 6\/11, -5, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let k(d) be the first derivative of -d**6\/3 - 7*d**2\/2 + 8. What is the second derivative of k(o) wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 54 - 53.11. Let y = 0.89 - q. Let n = -11 - -7. Which is the closest to y? (a) -1 (b) -1\/10 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -742821 - -426483. Let f = x + 161338. Round f to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -25945140 by -13.\nAnswer: 1995780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -44 in 7, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let o(b) = -15180*b**2. Let t(x) = -10*x. What is o(t(w))?\nAnswer: -1518000*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 346, 394, 462, 556, 682, 846, 1054?\nAnswer: 1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3 + 8 = 5*b. Let z(o) = 17*o + 24*o - b - 40*o - 3. Give z(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*k + 5*t + 386 = 0, k - 194 = 13*t - 11*t. List the prime factors of 44\/k - 2*(-1490)\/36.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 8329?\nAnswer: 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -66572642*d*f + 27432843*d with respect to f.\nAnswer: -66572642*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 129867806?\nAnswer: 2, 64933903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let o(r) = r**3. Let p(n) = n**3. Let m(g) = -g**2 - 2*g + 19. Let v be m(-5). Suppose 14 = -2*t - 5*y, -t = -v*t - y - 8. Calculate t*p(k) + 3*o(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 1436431193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Sort 3, -133, 5, -1, -5 in descending order.\nAnswer: 5, 3, -1, -5, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 22866 + -22731. Does 137 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 49*m + 202 = 6. What is the third biggest value in m, -2, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((o\/(o**(-5)*o*o))\/(o*o**(2\/7)))**(-3\/13) assuming o is positive.\nAnswer: o**(-57\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose x + 5 = 0, x = -2*p - 2*p + 439. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (2\/70)\/(21\/((-945)\/18)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let x(v) = -v**3 - 87*v**2 + 561*v + 30. Determine x(-93).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Round 15468900 to the nearest ten thousand.\nAnswer: 15470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -33516 - -33748.83. Let b = 234 - a. Round b to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -3.93669 and -4863.\nAnswer: 19144.12347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 72 and 696?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*n + 4*q = 4, -2*n - 8*q + 16*q = 12*q - 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -18584324*h**2 + 4183250 wrt h.\nAnswer: -37168648*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-1*(-24)\/(-30))\/((-6)\/45).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let o be 1\/(-2 + 1912\/952). Are 136 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -18854966, -37709932, -56564898, -75419864, -94274830?\nAnswer: -113129796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Sum 277900 and 0.323.\nAnswer: 277900.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 0 or 81\/782740?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -101011101011010101 + 11100100?\nAnswer: -101011100111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is six fifths of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*j + 6 = z + 16, -2*j + 19 = -3*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from tttotottoottttooott. What is prob of picking 2 o and 1 t?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let u(l) = -4*l + 109. Let n be u(27). Let j = 11 + -6. Suppose 5*a - 25 = -j. Solve 0 = -a*h + 4*g - g - 4, 3*g - n = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(u) = -2*u**2 + 3*u - 2. Let z(q) = -8*q**2 - q - 11*q - 9 + 29*q - 4*q. Determine 9*n(v) - 2*z(v).\nAnswer: -2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 203 + 71 + 23*i**3 - 67.\nAnswer: 23*i**3 + 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve -116736 = -469*d - 962*d - 271*d + 166*d for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 195104217 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (2\/(-3))\/((-14)\/21). Suppose -q + j = -14. Let r be 8\/5 - (-6)\/q. Sort -2, r, 1 in decreasing order.\nAnswer: r, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 5.34386ug in kilograms?\nAnswer: 0.00000000534386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let d(m) = 10*m + 10. Suppose 0 = -3*c - 0*c - 21. Let f = -10 - -16. Let b(i) = 11 + 3*i - f - 2. Give c*b(u) + 2*d(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 429.1 - 528.1. Let u = -673649 - -673549.99724. Let x = u - z. What is x rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(b) be the third derivative of -751*b**7\/210 + 566*b**3\/3 + 12*b**2 + 35*b. Differentiate z(i) with respect to i.\nAnswer: -3004*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -14787.7 + 14788. Which is the fifth biggest value? (a) 18 (b) -1\/3 (c) -5\/7 (d) 0.5 (e) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 97\/7876140 and 121\/634320.\nAnswer: 94513680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 981 - 981 + 188*h.\nAnswer: 188*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 81 - 79. Factor n*r**3 - 11*r - 3*r**2 + 12*r**2 - r**4 - 3*r**3 + 4.\nAnswer: -(r - 1)**3*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 2764335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*h + 116 = -0*h - 5*r, 5*r + 180 = 5*h. What is the remainder when 115 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 1\/2029228 or 0?\nAnswer: 1\/2029228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Solve -240 = 4986*f - 4926*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let n be (2\/((-4)\/86))\/(-1). Suppose 2*s - 10 = -2*k, -s = -k - 689 + 686. Calculate the greatest common factor of n and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-6*((sqrt(350) - -4*sqrt(350)) + sqrt(350))*2)\/(1*(sqrt(7) - (-4*sqrt(343) - sqrt(7)))*-1).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Round -1.61 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Multiply 415.47634 and -1.\nAnswer: -415.47634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Is 2059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 80 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -54 + 53.838. Let u = -0.1634 - x. Round u to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 987838.\nAnswer: 2, 493919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2 + (-1*sqrt(76))**2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 47 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -36\/13 + 206\/65. Which is the third biggest value? (a) -2\/11 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 5.66 + -6.66. What is the closest to j in -32, -0.5, -4, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -6a2579 (base 12) in base 16?\nAnswer: -1a02ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1778*r = 1708*r + 980 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let y(r) = 7*r + 4*r - 7*r. Let a(o) be the third derivative of o**7\/504 - 7*o**4\/24 - 9*o**2. Let s(i) be the second derivative of a(i). Calculate s(y(q)).\nAnswer: 80*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 222\/(-1332)*(1 - 1 - -4). What is the nearest to 2 in -0.06, 0, -1\/5, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -y - 6*y - y + 7*y + 1012 + 12 to the form h*y + m and give m.\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 546.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from {h: 2, b: 1, g: 3, p: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let t(v) = v**2 - 2*v - 19. Let g be t(6). Let m(n) be the first derivative of 1\/2*n**2 - 2 + 2*n. Calculate m(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 302 (base 14) in base 8?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let p(a) = -a - 2. Suppose -3*b - 9 = -0. Let v be p(b). What is the common denominator of (-51)\/(-8) + (-2 - v) and 9\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaaaafa?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: 132\/88*5\/(135\/24)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 7056 - 6248. Calculate the remainder when m is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(x) = -x**2 - 9*x + 12. Determine j(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 28.586109 months in millennia?\nAnswer: 0.00238217575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let o(i) = 4*i + 16. Let v(x) = -11*x - 47. Let l(n) = 17*o(n) + 6*v(n). Let f = -15 - -29. What is the lowest common multiple of l(8) and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -339 + 129 + 84 + 376*k + 126.\nAnswer: 376*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the cth term of -1728, -1746, -1766, -1788, -1812?\n\"Answer: -c**2 - 15*c - 1712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 1704619 and 175.\nAnswer: 42615475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let k(g) = -g**2 + 4*g + 175. Let a be k(0). Calculate the highest common factor of a and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (o**18\/o*o**33)\/(o**(-30)*o)**(-29) assuming o is positive.\nAnswer: o**(-791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -11879 + 11879.3. Let m = 4 + -4.08. What is the closest to -1 in b, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 3409705 + 745295. Round p to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*k**5 + 7344*k**4 + 3289144*k**3 + 446527648*k**2 + 19585162860*k - 20034986992 = 0. Calculate k.\nAnswer: -131, 1, 2228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Does 22 divide 4638442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 119\/51 + (-2)\/6. Let m(i) be the first derivative of -1 - 10\/3*i**3 + 2*i**x + 0*i. What is the second derivative of m(g) wrt g?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(x) = -x**3 + 19*x**2 + 110*x - 1111. Determine s(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -292 - -290. What is the common denominator of (0 - k) + (-1230)\/(-396) - 4 and 41\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 7614*h**2 + 53*h**4 - 1 + 2*h + 17*h**5 - 7591*h**2 + 57*h**3 + 1.\nAnswer: h*(h + 1)**3*(17*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is fifteen sixteenths of a century in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -4*(1*(sqrt(637) + (sqrt(637) - (sqrt(637)*-3 + sqrt(637)))*-3)**2 - (2 + -2 + sqrt(637))*1).\nAnswer: -163072 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let a(n) = 8*n**3 - 4*n**2 + 3*n - 1. Let d be a(2). Suppose 4*i = -w + 72, -4*i + i = w - d. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 60.9 - 61. Which is the second biggest value? (a) -1\/2 (b) w (c) -5\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -0.02*-76714811\nAnswer: 1534296.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 227*k - 7*k - 35*k - 2035 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 z, 1 e, and 1 f when three letters picked without replacement from {z: 3, e: 4, f: 1, m: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Round -122426690 to the nearest 100000.\nAnswer: -122400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Put 6, 1, 5, -77 in descending order.\nAnswer: 6, 5, 1, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is -4002 (base 8) in base 2?\nAnswer: -100000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 2436\/(-18270) - (-1884)\/(-45).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(p) = p**3 + 6*p**2 + p - 2. Let i be g(-3). Suppose -q + 3 = 4*y + 4, 5*q + i = -3*y. Suppose -a + y + 4 = 0. Solve a*u + 6 = -9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in 9, -7, -4, -8.7, 10, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:31 PM and 5:56 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 27725?\nAnswer: 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0.3? (a) 1 (b) 1.478 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-1*sqrt(416) + sqrt(416))\/sqrt(8) - sqrt(52))\/(sqrt(144)\/sqrt(9)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 260 - 512. Let s = r - -387. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: 30\/(-50)*(-20)\/28\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of -1757, -1575, -1357, -1085, -741?\n\"Answer: 3*q**3 + 161*q - 1921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*b - 4*t + 2 + 2 = 0, -3*b = 2*t - 6. Let h be 192\/(-60) - 2\/(-10). Put 1, h, b in decreasing order.\nAnswer: b, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when (3 + 76\/(-10))\/(7\/(-105)) is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-42)\/105)\/(14\/10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let k(o) be the third derivative of -11*o**6\/20 + o**5\/20 - o**4\/24 - 349*o**3\/6 + o**2 - 170*o. Find the second derivative of k(t) wrt t.\nAnswer: -396*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 702\/7 - 100. Let w(h) = -278*h**2 + h. Let t be w(1). Let i = 2219\/8 + t. Which is the closest to -1? (a) u (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -28 = 3*q + 89. Let o = q - -36. Which is the second smallest value? (a) o (b) -2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -108 = -4*n + 4. Suppose -33*w + n*w + 440 = 0. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 1341, 1283, 1225, 1167, 1109?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (5*p - p - 2*p)*(0 + 1 + 0)*(-2051 + 5790 + 4560 + 2085) to the form y*p + m and give y.\nAnswer: 20768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Round -16.620620448 to one dp.\nAnswer: -16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {j: 2, y: 4, l: 3, b: 2}. What is prob of picking 1 j, 1 b, and 1 y?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -233010*l**4 + 5*l**3 - 40073727*l**2 wrt l.\nAnswer: -5592240*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -0.56877 - -0.66877. Suppose 2*h = 4*f - 3*h - 3, 0 = 4*f + h - 9. Let b = f - 15. What is the closest to k in 0.1, b, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(u) = 2*u - 9. Let s be a(6). Suppose -r + 20 = -4*t, -t - 20 = s*r + 3*t. Suppose 2*v + v - 18 = r. Solve -2*f - 12 = -v*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 15103400 - 22?\nAnswer: 15103334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-21)\/7)\/9*(-6)\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Factor -z**5 + 6*z**4.\nAnswer: -z**4*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let c**3 + 750183*c**2 + 3000719*c + 2250537 = 0. What is c?\nAnswer: -750179, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*t = -8*t + 58*t + 28*t. Solve -w - 1 = c - 0*w, -5*c + 4*w - 5 = t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 359621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the gth term of 0, -10, -40, -102, -208?\n\"Answer: -2*g**3 + 2*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -210 = -5*i + 2*v, 2*i - 6*i + 168 = v. Suppose 0 = 3*l - 4*l + i. Let t be 28\/l - (-10)\/(-24). What is the third biggest value in -1, -7, t?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -156*r + 72965020 = 184*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 73121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in -194, 3, -276\/19, -0.02?\nAnswer: -276\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {z: 4, g: 1, u: 2}. What is prob of picking 1 g, 2 z, and 1 u?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0020174 to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(833) + sqrt(833)*-1*-5)**2 - (((-1 + sqrt(833))**2 - sqrt(833)) + -1).\nAnswer: 21*sqrt(17) + 29155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*i = -25, -t + 2*i + 86 = 146 - 78 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {a: 1, m: 3, o: 1, n: 1, p: 1}. Give prob of picking 1 m and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 354 minutes before 1:17 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 3209 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve 13*i + 49 = -27 - 15 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -13*k**3 - 7*k**3 - 4*k**3 + 25*k**3 - 15*k**3.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1*19.574.\nAnswer: 19.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let v(x) = -5*x - 5. Let j(n) = 4*n + 6. Let d(l) = -7*j(l) - 6*v(l). Let k be d(9). Solve 0*a = -3*a + k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -76.085 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*w = -w - 3. Suppose -5*y + 2 = 5*g - 8, 0 = w*y - 3. Let s(q) = -q - 1. Determine s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(k) = -30*k + 111*k - 34*k - 26*k - 22 - 22*k. What is p(15)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(b) = -b**3 + 7*b**2 + 4*b - 8. Let f be d(7). Let w = 20 - f. Suppose w = z - 34 - 37. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.2 plus 0.289156420609?\nAnswer: 0.489156420609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Convert 34459.21um to nanometers.\nAnswer: 34459210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the eighth root of 136758212 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve -616 = 28*m, 8*k - 19*k - 4*m - 10 = -0*k + k + 14*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 5889 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -7*k**2 - 4*k**2 + 2*k**3 + 5*k**2 + 1 - 3*k**3 to the form z*k**3 + c + y*k + v*k**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 592 minutes after 11:40 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Put 3, 6, 1, -47, 17, 98 in increasing order.\nAnswer: -47, 1, 3, 6, 17, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: 6\/(-1) - (-158 - 10)\/12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*o + o = -18116. Let q be o\/35 - 2\/5. Let h = q + 933. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 16150 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 109\/18894 and 59\/3666.\nAnswer: 245622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 1049390 and 505?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Is 190 a factor of 49669097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*n - 4*c = n + 354, c = -n + 69. Find the third derivative of -8989 - 72*p**5 + 8985 + 23*p**2 - n*p**5 wrt p.\nAnswer: -8520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(u) = u**2 - 4*u - 3. Let b be m(4). Let y be (-3)\/(48\/20 + b). Suppose 3*c = y*v + 1, 2*c = 3*v - 3*c - 9. Sort 0, -4, v.\nAnswer: -4, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((o**(-3\/5))**0*o**16\/o*o**29)**(-14) assuming o is positive.\nAnswer: o**(-616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6 + 1 + 12 = -19*a. Let b = -11801\/15708 - 3\/476. Is a greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 159 + 1 + 0 + 5 + -8. Suppose 4*t = y - 37. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -94976 divided by 848.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: (-3)\/((75\/(-10))\/1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 524*x**2 + 80 + 26 - 262*x**2 - 283*x**2 + 4*x**3.\nAnswer: 4*x**3 - 21*x**2 + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is 77030.37249 rounded to the nearest one thousand?\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Sort -819, 1, 0, 4, -1, -10.\nAnswer: -819, -10, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Solve -7*w + 10 = y + 2*w - 11*w, 3*w + 17 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let t(g) = g**3 - 4*g**2 + 7. Let r = -25028 - -25028. Calculate t(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 2772 and 11181324.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 24441949 is divided by 167?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 817.7536 seconds in nanoseconds?\nAnswer: 817753600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Product of 9.2 and -2.\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let j(t) = t**2 + 4*t + 1. Let m(g) = 5*g**2 + 19*g + 4. Let n(p) = -11*j(p) + 2*m(p). What is n(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: 32f2 (base 16) to base 8\nAnswer: 31362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 2, -186, 0.3?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) 2 (b) 2\/7 (c) 3 (d) 12\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 28673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 830 + -389. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 7667841 divided by -339?\nAnswer: -22619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1482459 is divided by 4373.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is 7151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 9626 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: -41735a (base 11) to base 15\nAnswer: -d317a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 10 + -7. Let y be (-2)\/(-4)*2*m. Suppose -y*x - 20 = -5. Put 4, x, 0 in decreasing order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 21*i**3 - 3\/2*i**4 - 30 - 135\/2*i**2 + 78*i = 0 for i.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 685 minutes before 1:48 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {a: 3, i: 17}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Total of 0.0584 and 225195.\nAnswer: 225195.0584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Convert 38285.45 days to weeks.\nAnswer: 5469.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let z(x) = 3*x + 4. Suppose 5*m - 34 = -19. Let b(d) be the first derivative of d**2 + 3*d + 1. Let f(i) = m*z(i) - 4*b(i). Give f(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 10762 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Express (-2 + 2 + 3*w)*(37 - 7 + 28)*(3 - 1 + 0) in the form c*w + d and give c.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let d(x) = -30*x - 38. Let f be (-2)\/4 + 18\/(-4). What is the units digit of d(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 214210*x + 477327*x + 444725*x.\nAnswer: 1136262*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is -191 greater than or equal to 173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 34.6 - 37.6. Sort 0.5, -4, -354, h in increasing order.\nAnswer: -354, -4, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*h + 47 = 7. Let w(r) be the third derivative of r**5\/30 + r**4\/24 + r**3\/6 + r**2 + 7. Is w(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose x = 6*x - 30. What is the smallest common multiple of 13 and x?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: ((-65)\/52)\/(4*(-20)\/(-96))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*s + s + 30 = 0. Let x = s - -110. Suppose 0 = z + 3*z - 80. What is the greatest common divisor of x and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (1120\/(-1960))\/((-22)\/21)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let x(m) = -m**3 + 1171*m**2 - 264704*m + 12121. Determine x(865).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: -37.1 times -455\nAnswer: 16880.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3496*u + 45 = 3541*u. Solve 0 = -3*v - 2*q - 4, u = v - 4*q + 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 2804\/840 + (-2)\/(-5) and (-5 + -1 - -3)*3172\/(-2808)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {z: 1, o: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Solve -15*f + 6 = -12*f, -j + 13 = 5*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is -2 + -3404?\nAnswer: -3411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 1? (a) -4\/5 (b) 6011 (c) 0 (d) 21 (e) 1 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -16*m = -17*m + 835. Suppose 11*v - 5*s = 8*v + m, -4*s = -16. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(u) = -37*u - 1308. What is the least common multiple of s(-44) and 640?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (5 - 3 - 4)*((-4*m**3 + 3*m**3 + 3*m**3)*(3 - 4 + 13) + (-356 - 40*m + 356)*(3*m**2 + 0 + 0)).\nAnswer: 192*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -2*(((sqrt(405) + 0)*-6 + 0)**2 + -4).\nAnswer: -29152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {y: 1, c: 1, d: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Express 51 + 17*p - 60*p - 48 as n + g*p and give g.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -2 + sqrt(6)\/sqrt(3) + (sqrt(144) - sqrt(16))\/sqrt(8) - (1 + sqrt(2) + 0 - (sqrt(2) + 1 + -4)).\nAnswer: -6 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -7*a*b*z + 48*a*b - 834*a*z**2 + 27*b*z**2 - 2*b*z + 23*b + 12*z**2 + 3 wrt a?\nAnswer: -7*b*z + 48*b - 834*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is 331 minutes after 4:08 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let y(k) = 2*k**2 + k - 2. Let f(n) = 7*n**2 + 7*n - 6. Let t(l) = f(l) - 5*y(l). What is t(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -5470 divided by -2735?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is 22.95956ml in litres?\nAnswer: 0.02295956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -3.1 + 2.5. Is 1\/4 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 2 - 2 + 214*g - 85*g - 92*g.\nAnswer: 37*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 116*q - 110*q + 270. Does 8 divide ((-1746)\/q)\/((-4)\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -109\/42 and -55\/303114?\nAnswer: 303114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.4907973 to 2 decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 91493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*p + p + p)*(4 + 0 - 2)*(-14*p + 124*p + 6*p).\nAnswer: 464*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 127 a factor of 4971010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let i(p) = p**3 + 6*p**2 - 3*p - 3. Let l be i(-7). Let r = l + 19. Let s = r + 15. Solve s*y - y = 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(n) = 19*n - 142. Determine a(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (k**7*k*k*k)\/((k**(-13)\/k)\/k) assuming k is positive.\nAnswer: k**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {l: 1, g: 13, p: 1, b: 2}. Give prob of picking 1 l, 2 g, and 1 p.\nAnswer: 39\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is 10001101 - 100000000?\nAnswer: -1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let l be (-32 - -14)*1\/(3\/7). Let j be ((-16)\/14)\/(6\/l). Suppose -4*r = 8, -5*q + 2*r = 3*r - j. Solve 12 = -w - q*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 449, -0.2, 1\/6 in decreasing order.\nAnswer: 449, 1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 2 - 1 - (61 - (24 - (16 + -20 + 15)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let j(t) = -t**2 + 10*t - 3. Suppose 2*r = 6*r - 28. List the prime factors of j(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -820 = 5*n + h, 0*h + 4*h = -2*n - 310. Let m = n - -244. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -90981881201.99000075 + 90981912437. Let w = u + -31235. Let s = w - 0.01. Round s to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -12 - (-20 - 5 - 17)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -46 * -1.6\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 488778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is 110111 + 10000?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of -137, -138, -141, -146, -153, -162?\n\"Answer: -r**2 + 2*r - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*p + 186 = 2*q + 8, 5*p + 3*q - 225 = 0. Suppose t + p = 3*t. Suppose 0 = -t*u + 23*u - 4. Solve -u*n - n = -12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(i) = -415735*i + 60. Let l be q(-4). What is l rounded to the nearest ten thousand?\nAnswer: 1660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -2\/637 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -573*x = -639*x + 132. Solve 26*q - 24*q + x = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 2 - 1.6. Let s = 4124 + -4121. What is the nearest to -0.2 in s, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(j) = -5*j + 46. What is u(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let o(d) = -253*d + 13. Let q be o(-7). Let u = q - 1741. What is the remainder when u is divided by (-4)\/6 + (-70)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 204*c + 421 = 625*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let i be -2 + 18\/6 + -12. Let p(n) = 5*n + 55. Let s be p(i). Let q = 0.7 + -0.4. Which is the nearest to s? (a) 7 (b) q (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {c: 1, l: 2, n: 2, y: 1}. Give prob of sequence yc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let z(g) be the second derivative of 16*g**3\/3 + 4*g**2 + g + 4. Let p be z(2). Calculate the greatest common divisor of p and 576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between 0.208 and -19.2973?\nAnswer: 19.5053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from smmmntmmdomss. Give prob of picking 1 t and 1 o.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is 5063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Product of -2.02 and -3.\nAnswer: 6.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 2 and 20301.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Express 23 + 2643*t - 539*t + 817*t - 23 as i + s*t and give s.\nAnswer: 2921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is 658 a factor of 63758169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is 2 - -407?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Does 202 divide 502495767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let o(y) = -2*y**3 - 10*y**2 - 11*y + 36. Let g be o(-4). Calculate the greatest common factor of g and 14064.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -45 = -16*u + 67. Let x be 5\/10 - (-17)\/2. Suppose 2*i - u = x. Solve -i = -r - r + p, 4*p = 5*r - 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(p) = -p + 6. Let a be v(0). Let s = a - 4. Solve 0 = -s*o + 6*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 13039\/52108 + -3\/13027. Is z bigger than 8.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1178 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -5240*a + 167997 with respect to a.\nAnswer: -5240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 95 + -96. Let s be (-6)\/(-4) - 2\/(-4). Let l be s\/4 + 4\/(-6). Put 1\/9, g, l in ascending order.\nAnswer: g, l, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-2340)\/315900*(-3)\/1.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 2\/3? (a) 203 (b) 0 (c) 1\/3 (d) 4 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0*m**4 - 6*m**3 + 5*m**3 + 9*m**3 + 12*m**2 - 4*m**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred millions digit of 1520812735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -8 + 9. Let k be (-2)\/(-7) + (-65)\/105. Are q and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -180 - -361\/2. Let h(g) = g + 2. Let d be h(0). Find c, given that 1\/2 + p*c**d - c = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*j + 4*k + 22 + 2, 2*j = -2*k - 18. Let p be ((-1)\/j)\/((-6)\/4). Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 2\/35 in -0.13, -2\/15, 4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*j + 19 = -j. Let x = 0 - -6. Let p = x - 2. Solve 5*v - j = -p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange i**4 + 4*i - 4*i + (-2 + 2 + 3*i)*(i**3 + 5*i**3 + 8*i**3) + 214*i**2 - 20*i**4 - 214*i**2 to the form w + m*i + u*i**2 + r*i**3 + d*i**4 and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*z**3 - 87690695*z**2 - 384482855633800*z + 384482943324500 = 0.\nAnswer: -8769070, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 131 is divided by 61.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 14 = -c - 3. Is (2\/10)\/(c\/(-128435)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(z) = -156669*z**2. Let r(f) = 115*f. Calculate s(r(c)).\nAnswer: -2071947525*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Sort 0.1, 5\/2, 1.6, 14 in descending order.\nAnswer: 14, 5\/2, 1.6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is fifty-five quarters of a decade in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 4\/6*125\/((-9750)\/6201).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -353 + 359. Suppose t = 20*k - 23*k. Sort -3, 59, 1, k in increasing order.\nAnswer: -3, k, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find w, given that 2*w**3\/17 + 40*w**2\/17 - 86*w\/17 + 44\/17 = 0.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -4718*r + 9979*r + 21271*r.\nAnswer: 26532*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -x + 17 + 10. What is the third derivative of 6*r**5 + x*r**5 + 89*r**2 - 109*r**2 wrt r?\nAnswer: 1980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2 = 9*c - 20. Solve 5*r + 45 = -5*y, -15*r + 14*r = -c*y - 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -253 divided by 96.\nAnswer: -253\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-6*h + 6*h + 2*h**3)*(-37*h + 73*h - 35*h)*(-4 - 9*h - 7 + 11 + 37*h).\nAnswer: 56*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 2*((-351)\/(-6))\/(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -184 - -186. Suppose t*a = h - 7 - 4, 3*h = a + 18. Solve 0 = 2*s - 8, h*d + 3 = -s - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 13498, 15257, 17016, 18775, 20534?\nAnswer: 22293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: 274 divided by 1\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is 1\/3 bigger than -35357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -7 + 16. Let u = l - 5. Suppose u*r - 17 = 23. 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 m = 8 - 3. Suppose 30 = m*u - 10. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 13984 (base 12) in base 10?\nAnswer: 27316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 5.71 + -0.71. Let b be (2 + 12\/(-4))\/((-10)\/(-4)). Put b, o, 1\/9, -4 in increasing order.\nAnswer: -4, b, 1\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -59.4 + 59. Let o = -13 - -14. Which is the third smallest value? (a) 14 (b) o (c) u (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 404 minutes after 9:18 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Expand (3 - 5*n + 5*n - 4*n**2)*(14 - 2 - 29*n - 9).\nAnswer: 116*n**3 - 12*n**2 - 87*n + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 1320 in 0.11, -2, 4, 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let d(o) = -o**2 + 4*o + 11. Suppose 1819*g = 1827*g - 40. What is d(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*c - c - 8. Let q(n) = 375*n + 1044. Let w be q(-6). Calculate the least common multiple of (w\/(-99) - 4\/22)*c and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -27*z + 28*z - 1466. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((3*-1*sqrt(180))\/sqrt(3))\/(6*2*sqrt(12) + (sqrt(12) - (sqrt(768) - sqrt(12) - sqrt(12)))).\nAnswer: -3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let b(j) = 49*j**2 + 446*j + 29. What is b(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 187624665?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*g + 3*g - 1 = -x, -3 = -4*g - 3*x. Let m be (g - 3)*(-2)\/(-6). Let f = 1.2 - 1. Which is the second smallest value? (a) m (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(a) = 7*a**3 + 4*a + 3. Let i(f) = -3*f**3 - 2*f - 1. Let k(x) = 9*i(x) + 4*y(x). Is 10 a factor of k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 10 divided by 126.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Put 0, 4\/5, 0.5, -3, -0.005 in decreasing order.\nAnswer: 4\/5, 0.5, 0, -0.005, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 32213033132 + -10?\nAnswer: 32213033122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let g(r) = r**3 - 6*r**2 - r + 8. Determine g(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Sort -148, -4, 78913 in descending order.\nAnswer: 78913, -4, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -12688 + 4688. What is l rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be (-8 - (5 - 15))*6\/27. Factor -z - 1\/3*b + 1\/9*b**2.\nAnswer: (b - 4)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 10847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Sum -3 and -37.45148927865.\nAnswer: -40.45148927865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 19.3 + -1.9. Let m = l + -21.4. What is the second biggest value in -2\/7, 0.15, -3, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*p = 2*y + 52, 48 = 3*p + 4*y - y. Let q(i) = -i - 4. Let w = -1 + -5. Let k be q(w). Solve -4*j - p = k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*t - 2*j = -4, -j + 12*j + 15 = 2*t. Let b be (4\/3)\/((-6)\/27). Sort b, t, -1.\nAnswer: b, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(b) = -b**3 + 2*b**2 - 2*b - 3. Let p be a(-3). Calculate the highest common divisor of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3*t**2 + 5*t**2 - t**2)*(-1 - 1 + 3 + (-4 + 2 + 1)*(-1 - 1 + 0) - 20 - 4 - 2).\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 12 and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let m(h) = 5*h - 1. Let o(z) = -14*z - 22*z - 2 + 56*z - 14*z. Let s(n) = -n**3 - 2*n**2 - 3*n - 3. Let r be s(-2). What is r*o(x) - 4*m(x)?\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*w - 5*p - 3 = -4*p, 5*p = -4*w - 1. Let l = 0 + 1. Suppose 2*k = -l - 5. Sort 3, w, k in ascending order.\nAnswer: k, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:11 PM and 11:22 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(108)\/sqrt(4))**2 - (sqrt(243) + 3 + sqrt(3) - sqrt(3)))*-2.\nAnswer: -48 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is (-13872)\/(-176) - 2\/(-22)*2 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 31824 is divided by 1977.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 5517337477 to the nearest integer?\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 2*h + a - 3, -15*h + 2*a + 21 = -10*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.00396147494 rounded to five dps?\nAnswer: 0.00396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 4*d**3*n**2*o**2 + 2711*d**3*n**2 - 450*d**2*n**2*o**2 + d**2*n*o - 2*d**2*o**2 + 6*d**2 + 48*n**2*o**2 wrt d?\nAnswer: 24*n**2*o**2 + 16266*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 10479 is divided by 792?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (3\/(-9))\/((-10)\/30). Calculate the remainder when 30 is divided by (-7 + i)\/((-3)\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in 1, -143, -165.17, 2, 1\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 125016 - 59 - ((-9)\/(-2))\/((-6)\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (0 - -9) + -1 + -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of 4383, 4515, 4647, 4779?\n\"Answer: 132*x + 4251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 8510 and 704720?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in 2\/15, -2497\/5, 8, -3\/7?\nAnswer: -2497\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let t(a) = a**2 + 27*a + 153. Suppose -318 - 170 = 70*c + 72. Give t(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -69*p + 292 = 154. Factor -2\/3*r - 1\/3*r**p + 1.\nAnswer: -(r - 1)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (((-390)\/20)\/13)\/((-15)\/290)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 0 + 45\/12 - (-4)\/16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is 597300962 to the power of 1\/2, to the nearest integer?\nAnswer: 24440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the sth term of 294, 544, 768, 960, 1114, 1224, 1284, 1288?\n\"Answer: -s**3 - 7*s**2 + 278*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Factor 4*o**3 - 502488*o**2 - 1507492*o - 1005000.\nAnswer: 4*(o - 125625)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*u - 12 = -5*u. Let h(k) = -k**3 + 4*k**2. Let o be h(u). Solve 2*i + o = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(m) = 15*m - 4. Let l(j) = 902*j - 242. Let z(c) = 121*f(c) - 2*l(c). Let a(t) = -2*t**2. What is z(a(h))?\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -0.41 + -2.89. Let p = 3 + c. Let s = 46 - 49. What is the nearest to 0.1 in -2\/5, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: 26*-5762\nAnswer: -149812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Put together 101 and 424.\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: How many kilometers are there in 4.983778 nanometers?\nAnswer: 0.000000000004983778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 25\/2238408 and 57\/160?\nAnswer: 44768160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 61137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify u**(3\/4)\/(u\/(u**(-7)\/u*u))*(u\/u**2)**(2\/7) assuming u is positive.\nAnswer: u**(-211\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 9 + -6 + (-12 - -4) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 317556 and 2505164?\nAnswer: 22546476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1, 4, 232, -3 in ascending order.\nAnswer: -3, -1, 4, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Subtract 134035 from -760717.\nAnswer: -894752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*h + 15, 2*h - 11 = 9*i - 4*i. Sort i, -5, -21.\nAnswer: -21, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 37403228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 15 + -15. Let q be -2 + 4\/(-2) + s. Let j(b) = -2 + 5*b**2 - b + 6*b + b**3 + 4. What is j(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose o - 14 = 4*s, -2*s + 8 = 2*o - 0*s. Solve -6 = o*u - 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -1 in -84, 0, -1.9, 97.6?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (9\/18)\/(1\/6 + 0). Solve -i*d - 25 = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the biggest value in -4\/9, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: -5.9565 * -0.128\nAnswer: 0.762432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 6.8 + -3.5. Let g = -3 + a. Let c = -328 - -323. What is the nearest to 0.1 in c, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(p) = 373*p**3 - 4*p - 3. Let a(j) = -373*j**3 + 5*j + 4. What is 4*a(i) + 5*x(i)?\nAnswer: 373*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is 266 times -1?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -439656*n + 877106*n - 437435*n.\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -194 + 188. What is the closest to 0 in -2\/15, -4\/7, g?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 278\/(-5)*1005\/(-134)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from {s: 2, o: 1, l: 1, h: 1, n: 1, z: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Determine x so that 4*x**5 + 578116*x**4 + 20888342780*x**3 - 20888920900*x**2 = 0.\nAnswer: -72265, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: -10 times 5887\nAnswer: -58870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 20 = 3*d + 2*d. Let a be (-3)\/(-12) + 79\/d. Suppose 4*g - a = 4. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(m) = 4*m + 6. Let t be x(10). Suppose -3*l - 24 = -2*b - 6, -t = -4*b + l. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: -562609740 divided by 28501\nAnswer: -19740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Put together -0.3 and -9771415171.\nAnswer: -9771415171.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1\/9 - (-9557)\/171 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(g) = 12*g**2 - 188*g - 40. Let v be p(-14). What is the greatest common divisor of v and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 16992 divided by 177?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let k(t) = -21*t**3. Give k(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let a(p) = -4*p**3 - 2*p**2 + 2*p + 1. Let r be a(-2). Let b = r + -61\/3. Factor 0*o**2 + 4\/3*o**4 + 0 + 0*o + 2\/3*o**5 + b*o**3.\nAnswer: 2*o**3*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(p) = 34*p - 5. Let m be t(2). Let y = 63 - m. Let u(w) = 3*w. Let n be u(y). Solve 3*z - 4*h + 2*h - 9 = 0, h = n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {h: 4, d: 3, z: 1}. Give prob of sequence hh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 8 + 5 - 13 - 203*p.\nAnswer: -203*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve -47*k - 2*g = -182, 4*g - 266 = -k - 274 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -6*(-52)\/(-1794)*(-1)\/(-2) - 872\/23.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of -29418, -29302, -29100, -28806, -28414?\n\"Answer: w**3 + 37*w**2 - 2*w - 29454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of c**6 + 8*c - 8*c + 8*c**2 wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*h = 1570 - 11130. Let i be (5\/4)\/(2\/h). Calculate the remainder when i\/(-15) + 2\/(-3) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -53475 at most -2\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let r(t) = 12*t + 1. Let o = -5 - -6. What are the prime factors of r(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-28)\/60*2\/21*(37 - (-26187)\/(-516))?\nAnswer: 11\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(x) = 57018*x - 16 - 28510*x - 28506*x. What is a(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -31\/971961 and 79\/42?\nAnswer: 13607454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 42538 + -1?\nAnswer: 42537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -239.6 + 188.6. What is the smallest value in -1, -4\/5, 2\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(f) = 4*f**2 + 27*f + 72. Let n be r(-5). Solve 31*w = n*w + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 2*b**2\/5 - 2340296*b\/5 - 45405506.\nAnswer: 2*(b - 1170245)*(b + 97)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*i**3\/11 + 3218*i**2\/11 - 6442*i\/11 + 3222\/11 = 0. What is i?\nAnswer: -1611, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of -1932, -3851, -5770, -7689, -9608, -11527?\n\"Answer: -1919*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let z(i) = i**3 - i**2 + i - 10. Give z(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let m(i) = -20*i**2 - 3*i - 3. Let o(q) = 41*q**2 + 5*q + 5. Let c(d) = -5*m(d) - 2*o(d). Let b be c(-3). Suppose 6*g - 10*g = -b. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 11 - (61 - 57 - (-12 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1305235983.\nAnswer: 3, 421, 1033441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 41 - 34. Calculate the smallest common multiple of a and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -303.8 + 255. Let q = -45 - s. Round q to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 552*o**4 - 203757*o + 203757*o + (o - 6*o + 3*o)*(0*o**3 + 2*o**3 - 4*o**3).\nAnswer: 556*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Convert -35511 (base 7) to base 3.\nAnswer: -110120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 11 - 17 - 2 - (-2 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Does 14 divide 493183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -12 = 4*c, -2*m + 3*m + 10 = -4*c. Let g be (-1)\/(12\/(-8))*45\/m. What is the greatest common divisor of g and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from eggf. Give prob of sequence ggf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -19279059 or -19279060?\nAnswer: -19279060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -5 or -2607?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 109 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Does 21 divide 135870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Sort 449, -32, -4, 0, 5, -5.\nAnswer: -32, -5, -4, 0, 5, 449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let u(w) = -313*w - 1727. Determine u(-5).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -79\/30 and -43\/561.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 739207511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Convert 0.6218855 micrograms to milligrams.\nAnswer: 0.0006218855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*g + 5*g = -5*g. Let b be (g\/(-3) - -1) + 3. Solve b*i + 25 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -2, -3.5, -4, -18 in descending order.\nAnswer: -2, -3.5, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let y(q) = 8*q**2. Suppose 0 = -5*x + 2*x + 21. Let a(g) = -g - 2*g + x*g - 2*g. Give a(y(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -441*o - 331*o + 305*o - 487*o - 167*o.\nAnswer: -1121*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -25*b**4 + 209*b**3 + 14*b**4 + 286 + 101*b**3 + 8*b**4 wrt b.\nAnswer: -12*b**3 + 930*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -48 - -76. Let d be 22\/(-40) + 21\/s. Let u = 3 - 2.6. Which is the second smallest value? (a) -1\/3 (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -645159, -4, 4 in descending order.\nAnswer: 4, -4, -645159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is 1 + 70318?\nAnswer: 70320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.000913 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Put 18, -3, -1, 5 in descending order.\nAnswer: 18, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -1 - -32. Let d(i) = i**2 + i - 3. Let r be d(-3). Suppose 85 = r*t + h. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (1 + -33 - 4 - (-10 - -6)) + (-18 - -10).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (-716)\/(-2 - (5 - 5)). Let q = -131092 - -1699539\/13. Let a = r + q. Do -1\/4 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -4073.8 + 4073.87. Let u = -21.1 - -20. Let k = u - -1. Which is greater: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*u = -6, -2*d + 3*u - 101 = -4*d. Let m = -21 + d. What is the remainder when m is divided by (-3)\/(-2)*(-78)\/(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 3*x + 12*x + 4*x - 20*x - 259 to the form a*x + m and give m.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(1029) + (sqrt(1029) - sqrt(1029)*2 - sqrt(1029)))\/(sqrt(18)\/(sqrt(54) + sqrt(6))) + -5)**2.\nAnswer: 280*sqrt(7) + 5513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from nzgrnbnrrrnr. Give prob of picking 1 z and 1 r.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let i(j) = j**2 + 5*j. Let m be i(-6). Let y be (6 - m) + 2*9. Solve y = -3*a + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(b) = -b**3 - 2*b**2 - 2*b - 3. Determine d(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-84)\/3)\/4*7\/((-1078)\/165).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 12 = -3*y + 6*y. Let c = -78 - -932. Let r = c - 852. Solve 3*o - r*o + y = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 17315825 is divided by 245.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -2123*b**3 - 3 + 1942*b**3 + 3.\nAnswer: -181*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is -2243134.51 - 276622?\nAnswer: -2519756.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 0.2, 2\/131, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of 182979, 182629, 182279?\n\"Answer: -350*m + 183329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 22267813 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: Is -5004\/4027 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (i\/(i*i**1))**(-2\/11)*i*i*i*i*i**3*i*i**0*i*i*(((i\/(i**(1\/4)\/i*i))\/i)\/i*i)**27\/(i**0)**(-14) assuming i is positive.\nAnswer: i**(151\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) -8765\/16 (b) -2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 14 - 14. Suppose 2*n + 5 = n + d, h = -4*n + 5*d - 24. Let v(q) = -150*q - 1. Is v(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert -2884 (base 9) to base 4.\nAnswer: -202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 124*p + 11*p**2 + 9*p**2 - 126*p.\nAnswer: 20*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of -611, -600, -575, -536, -483, -416, -335?\n\"Answer: 7*x**2 - 10*x - 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*y - 360591*j + 45 = -360581*j, 4*y = -2*j + 48 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1476.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is -9 + (6 - (-38 + 0 + -8 + (25 - 18)))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Expand 4*t**4 + 2*t**4 - 3*t**4 + (-122*t + 122*t + 7*t**2)*(0*t**2 - 4*t**2 + t**2) - 3*t**3 + 0*t**3 - t**3 - 2*t**4 - 2*t**4 + 1 - 1.\nAnswer: -22*t**4 - 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Express (2*b - 2 + 2)*((1 + 2 - 4)*(-1 + 0 - 1) + (6 + 9 - 6)*(1 + 1 - 1)) as x*b + y and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 237510 and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -2 + 2.5. Let h = -0.8 + 1. Suppose 2 = 2*i + 2*l, i + 2*l - 2 = -2*i. Which is the nearest to i? (a) 5 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:25 AM and 6:09 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 5 - (3 + 15 + -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -900, -766, -566, -318, -40?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let c(k) = -27*k + 8*k + 16*k + 29. Let q be c(9). Suppose 7*z**q + 177*z - 153*z - 26*z**3 - z**5 + 9*z**4 - 16 + 3*z**3 = 0. Calculate z.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 18344390?\nAnswer: 2, 5, 1834439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of -1621, -3240, -4859, -6478, -8097?\n\"Answer: -1619*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let u(b) = 8*b**2 - 11*b - 11. Give u(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let k(u) be the third derivative of -169*u**6\/120 + u**5\/15 + 5*u**4\/12 + 6*u**2 + 6*u. What is the third derivative of k(i) wrt i?\nAnswer: -1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of 35, 53, 73, 95, 119, 145?\n\"Answer: m**2 + 15*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Does 11 divide 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -10*k - 4*k = -42. Solve -3*o - 29 = -4*l, 0*l + k*l = -3*o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (a\/(a*(a\/((a**(-9)\/a)\/a)*a)\/a)*(a**(-4\/13)\/a*a)\/a)\/(a**4)**(-8\/3) assuming a is positive.\nAnswer: a**(-103\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: -9561 - 314875.037\nAnswer: -324436.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let c(j) = -9*j + 3. Let t = -41 - -43. Suppose -t = -r - 0. Determine c(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -40 + 20. Let d = -18 - v. Let i(g) = -2*g**2 + g + 1. What is i(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 618 + -599. Suppose -4*v - 5*i = -0*v - g, 2*v - 3*i + 7 = 0. Let u be 3 + (-1)\/(-2)*-2. Sort v, u, -4 in increasing order.\nAnswer: -4, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(u) = 3*u**2 - 2*u + 1. Let k be ((-15)\/(-9) - -3)*3. Suppose k = 5*o + 4*d, -3*d = -o - o + 1. Does 3 divide z(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*k + 3*m = -6, m + 8 = k + 6*m. Suppose 15 = 2*o + k*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: -23020414 (base 5) to base 14\nAnswer: -54740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth biggest value? (a) -365 (b) -1219 (c) -1\/50 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (1080\/(-1620))\/((-4)\/(-30)). Let y(u) = -u - 2. Let q be y(-2). Suppose q = -2*x + 9 + 1. Sort -17, b, x, 3 in descending order.\nAnswer: x, 3, b, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 86357437 to the power of 1\/2, to the nearest integer?\nAnswer: 9293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 16584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let l(u) = 149*u**2 + 6*u - 11. Let c(d) = 30*d**2 + d - 2. Let b(m) = 11*c(m) - 2*l(m). Suppose -t = -4 + 3. What is the tens digit of b(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in -9, -1, -0.5, 37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let n(i) = -i**2 - 47*i + 205. Let r be n(-51). What is the closest to 2 in -0.4, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (-1 - -1)\/2 + 8. Suppose 5*d - 122 - i = 0. Solve -w = -5*l + d, 4*w + 13 = w + 2*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be -3 - (1 + -1) - -11. Let p(h) = h + v*h + 0*h. Let o(k) = 6*k - 11. Let x(l) = 2*l - 4. Let w(j) = -4*o(j) + 11*x(j). Calculate w(p(n)).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -0.22 - -0.23. Let q be (2 + -3)\/(3*2\/(-474)). Let m = q - 82. What is the fourth smallest value in m, 1, 0.1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: 1\/(-6*(-9)\/90)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let f(a) = 8*a**3 + a - 1. Let g be 2*(-1)\/(0 - 2). Determine f(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 27\/280 + -11\/56. Let x = -0.04 + -4.96. Which is the second biggest value? (a) g (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((c*c*c\/(c*c*(c\/(c\/c**42))\/c)*c*c)\/(c*c*c**(-44)))\/((c\/c**17)\/((c*c\/(c\/(c*c*c**16))*c*c)\/c)) assuming c is positive.\nAnswer: c**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 5773\/4 - (8 + -2)\/24. Let r = y - 829. Suppose r - 38 = 9*m. Calculate the greatest common divisor of 96 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 0*(-2)\/(-4) - -5. Let o = -4 + p. What is the units digit of 19*(-1 - -3 - o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 20 + -33 + (11 - (-8 - -8)) - 18.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Sort 4, 0, -635 in descending order.\nAnswer: 4, 0, -635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Expand 2*i**3 - i**3 - 2*i**3 + (-6*i**2 + 4*i**2 + i**2)*(2 + 2*i - 2) - 9*i - i**3 + 9*i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let f be 8 + 2052\/(-266) + 1\/((-126)\/8). Let o(y) be the first derivative of -1\/4*y**2 - 1\/3*y + 1\/8*y**4 + f*y**3 + 13 - 1\/15*y**5. Let o(b) = 0. What is b?\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(q) = q**3 + 15*q**2 + 11*q + 28. Let x be g(-11). Determine h so that -17*h**2 + 3*h**2 + 290*h - x + 6*h**2 + 4596 + 13*h**2 = 0.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:25 PM and 1:31 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (-14)\/(-77) - (-1 + 1074\/(-22)). Let b = r + -47. Solve 2*v - b*n + 5*n + 8 = 0, -4*v = 2*n + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(b) be the second derivative of b**7\/840 + b**5\/120 - 7*b**4\/24 - b**3 - b. Let g(r) be the second derivative of u(r). Calculate g(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4 - 4 + 2*a)*((3 - 1 - 3)*(-1 - 3 + 17) - 3 + 4 + 1).\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 67719765?\nAnswer: 3, 5, 107, 42193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0002485691 to six decimal places.\nAnswer: -0.000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {z: 2, x: 1, m: 1, t: 3}. Give prob of picking 2 z and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Work out 437 - 74532.20253.\nAnswer: -74095.20253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 3 - 1 - 2*k**3 - 8 to f + l*k**3 + v*k**2 + n*k and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Factor -f**2\/5 - 1472*f\/5 - 1471\/5.\nAnswer: -(f + 1)*(f + 1471)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 472146124*y**3 + 229942342*y - 1.\nAnswer: 2832876744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (3402\/(-1323))\/(4\/(-50)) - (40\/(-14) - -3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of 7, 13, 11, -5, -41?\n\"Answer: -k**3 + 2*k**2 + 7*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 1085 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -21\/23 in -9\/2, -46, -52\/5?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let t be 3\/14 + 4\/14. Let d be (-172)\/(-25) - 1 - (-498)\/(-83). Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:20 AM and 6:32 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve -32*q + 4*p = -27*q + 5, -q - 12 = -3*p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -586*m + 4316*m + 5 - 13 + 9.\nAnswer: 3730*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 0 or 3464\/5?\nAnswer: 3464\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -57 - -57.5. Let v = -0.08 - 0.52. Sort -3, v, g in decreasing order.\nAnswer: g, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(g) = -2*g - 1. Let b be u(-3). Let w = 10 + -11. Sort w, b, 4 in decreasing order.\nAnswer: b, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(t) = -2*t**2 - 10*t + 3. Suppose 4*l - 5 = 3*l. Suppose 12*m = -l - 55. Let k be c(m). Calculate the highest common divisor of 9 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -6*q*y**2 + 4*q + 287*y**2 wrt q.\nAnswer: -6*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 125074 is divided by 864?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*r + r + 20. Let b = 5 - -13. Is (b\/3)\/((-6)\/r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*h - y - 7 + 4 = 0, 0 = -2*h - 5*y - 15. Suppose -5*r = -2*r - 2*f - 57, h = -r - 5*f + 2. Calculate the remainder when 166 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -209\/4 - -52. Let u = -2.6 - -3. Let s = u + -0.2. Which is the closest to -1\/4? (a) t (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 5014858.\nAnswer: 2, 163, 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*o + 4*g = 0, 4*g - 3 + 13 = o. Suppose 10 = -j + 3*u, -5*j + u - o = -4*j. Let f be (0\/(-1))\/(j + 0). Solve -5*l - 2 + 17 = f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 100*a**2*c - 21*a**2 + 2*a*c + 16*a + 2960862*c wrt a?\nAnswer: 200*a*c - 42*a + 2*c + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -11782 - -7015. Let a = v - -6937. Suppose -w = 4*b + 4*w - a, -4 = -2*w. What is b rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -1598*s**5 + 2*s**3 - s**2 - 2*s + 4967.\nAnswer: -95880*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (-2)\/9 - 34*(-122)\/36. Let b = y - 34. Calculate the remainder when b is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 17 - 14. What is the remainder when 9 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (-43 + 40)\/(6\/(-10)). Sort -13, 0, x, 2, -5 in increasing order.\nAnswer: -13, -5, 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -126 + 417. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(u) = -u**5 + 5*u**4 + 7*u**3 - 9*u**2 - 6*u - 4. Let p(j) = 2*j**5 - 4*j**4 - 8*j**3 + 9*j**2 + 6*j + 5. Let f(x) = 5*c(x) + 4*p(x). Factor f(y).\nAnswer: 3*y*(y - 1)*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 10 + -5. Let b = -2 + j. Find the third derivative of 4*f**6 + 4*f**2 - 3*f**6 + b*f**6 - 6*f**6 wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 916714777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-120 + (-10262)\/(-84))\/(-3 - (-38)\/12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*o**3\/4 + 53195*o**2\/2 - 568697605*o\/4 + 7321324985 = 0. What is o?\nAnswer: 52, 10613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 5 + -2. Suppose -5*o + 3*c + 0 - 7 = 0, -4*o + f*c = 8. Let m = 267 + -6139\/23. What is the nearest to o in m, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -2\/9, -55, -0.3, 8\/3, 5 in decreasing order.\nAnswer: 5, 8\/3, -2\/9, -0.3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: How many milliseconds are there in three eighths of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -33.81 + 0.81. Let y = 17 + q. Let k = -16.000028 - y. Round k to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((r**1\/r**(-5))**16)**47 assuming r is positive.\nAnswer: r**4512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: -95830158 * 0.1\nAnswer: -9583015.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose a + 0*a - 3 = 0. Suppose 0 = 8*x - 103 + 39. Solve a*u = u - x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 160 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is -6392.77 take away 11.38?\nAnswer: -6404.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: (-8)\/(-5) + 0 + -55 + (-1836)\/(-34)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 30 + -187.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose s + 2*s - 70 = -o, s + 5*o = 42. Calculate the greatest common factor of 88 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -9552 divided by -53.\nAnswer: 9552\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -25*l = -23*l - 112. Let k be 16*(8\/16 - 1\/(-2)). Calculate the highest common factor of k and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the lth term of -54, -113, -172, -231, -290?\n\"Answer: -59*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 424 minutes before 12:23 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 18397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:15 PM and 7:50 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0? (a) -136 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let u(m) = m**3 + 5*m + 6. Let j(p) = p**3 + 4*p + 5. Let l(o) = o**3 - 10*o**2 + 10*o - 13. Let i be l(9). Let t be (i - (-9 + 2))\/1. Give t*u(k) - 4*j(k).\nAnswer: -k**3 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 91 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 116 is divided by 45.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 6716 is divided by 3355?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (b*b**(-2\/15))**(-25) assuming b is positive.\nAnswer: b**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*p = -p - 20, 5 = -5*i - 4*p. Let k be (-3 - -1) + -9 + i. Let z be (-8)\/k - 1\/2. Which is the second biggest value? (a) -1\/9 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(x) = -54*x + 43. Suppose -2*l - 5 = 15. Is u(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 65269, 130522, 195775, 261028?\nAnswer: 326281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 22*t**2 - 2*t - 5*t**2 - 28*t**2 - 9*t**2 to the form o + n*t + b*t**2 and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let x(w) = -108*w + 2034. Give x(19).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.15 + 53.5?\nAnswer: 53.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: -0.3 * 38.452583\nAnswer: -11.5357749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-61)\/((-8052)\/24))\/((-1)\/(-143))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*y = 2*m, -3*m - 13 = 4*y - 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let u(t) = -6 + 3 + 5 + t**3 - 4*t**2 + t + t. Let m(r) = 3*r**3 - 2*r + 1. Let w be m(1). Let j be (-1)\/(w - 9\/4). Give u(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(s) = 67*s - s**2 + 70*s - 5 + 70*s + 61*s - 271*s. Let z = 11 - 5. Let i(u) = -u**2 - 2*u - 4. Let h(m) = z*i(m) - 5*q(m). Determine h(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 74175 and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Total of 32 and -1.14328.\nAnswer: 30.85672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let g(j) = j**3 - 15*j**2 + 21*j - 34. Give g(15).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 16 = d + 4*b, 6*d - 5*b = 3*d - 20. Let l(q) = -2*q - 12. Let u be l(-8). Suppose 3*m - u = 2. Sort d, m, -4 in decreasing order.\nAnswer: m, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: -2144 divided by -1286\nAnswer: 1072\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 136*r**4 + 44*r**2 wrt r?\nAnswer: 3264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-1)\/(9\/(-2)) + 45 + -45. What is the second biggest value in -2\/11, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(b) = b**3 + 4*b**2 + 221. What is the units digit of o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 7121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 41143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -47421 + 82766. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 28\/15 (c) -5 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Round 980500 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is -1618405 equal to 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} -{"text":"Question: Let y(o) = o**3 + 18*o**2 + 35*o + 35. What is y(-16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 82548445 divided by 1.\nAnswer: 82548445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: How many grams are there in 41897.28 kilograms?\nAnswer: 41897280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -0.42 - -6.42. Let k = x - 3. What is the closest to 2\/9 in k, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 14*b - 22365 - 91609. Suppose 24631 = -3*q - 4*j + b, -5*q - 27445 = -j. What is q rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is 52 + 1?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Subtract 5.8 from -6.\nAnswer: -11.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the tenth root of 6738 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -592 - 48228*z + 299 + 293 + 47876*z.\nAnswer: -352*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1307*x = 1302*x + 40 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let b be 2*((-2)\/284 - 0). Let q = -590147 - -590151. Sort b, 6, q in decreasing order.\nAnswer: 6, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(u) = u**3 - 40*u**2 + 78*u - 77. Let m be a(38). Is m > -7\/120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(x) = 11*x + 9. Let h = 21 + -23. Let n(w) = 5*w + 4. Let q(i) = 20*i + 16. Let u(d) = h*q(d) + 9*n(d). Let k = -125 - -129. Give k*m(v) - 9*u(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -37\/19 and 37\/86780.\nAnswer: 1648820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*k + 20 = 11*k. Let n(c) = -c**3 + 2*c - 1. Let y be n(-2). Solve y*h = k*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: -23 + (-5 + 48 - 27)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let k(c) = -3*c**3 + 2*c**2 - 1. Let z be k(-1). Let q = 7 - z. Calculate the smallest common multiple of 8 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -6 - -7. What is the remainder when 33 + w + (-7 - -4) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from bexbbbxcbvcbecxx. Give prob of sequence ebvx.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -6*d - 2*d + 8*d + 29*d.\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 1 + -113111?\nAnswer: -113110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is (554\/1108)\/(1\/(-72)) + (3 - 3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 1*-597*7\/21. Let w = -195 - z. Solve 2*y - 5*j = -5, 0 = -y + w*j - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-3)\/((-2)\/4*55*(-16)\/(-88))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 0.5188262 litres to millilitres.\nAnswer: 518.8262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 20*l - 21*l - 8. Let h(y) = -y**3 - 5*y**2 + 5*y + 20. What is the tens digit of h(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -638*219.89.\nAnswer: -140289.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is -22 - -7758?\nAnswer: 7736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-110)\/44*(-2 - 0). Suppose -j*g = -173 - 262. Suppose 0*a + 3*a - 66 = 0. What is the remainder when g is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 6 - (51 + -30) - (-70 + 3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -350 - -351. Let n = 0.23 + -0.23. Which is the nearest to n? (a) 14\/3 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from {p: 1, j: 1, u: 1, o: 1, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: 47 times 7\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -334.5 + 330.5. Which is the second smallest value? (a) j (b) 3\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 7\/150488 and -9\/1203904.\nAnswer: 1203904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 100 + -55. Let r be i\/18*(-52)\/(-5). Suppose 0 = -0*y + 2*y - r. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 122491 is divided by 53?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 404057 and 87?\nAnswer: 1212171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 6712 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let m(q) = -2*q + 3. Let p be m(-6). Let w be (-5)\/p - 424\/6. Calculate the common denominator of 105\/22 and ((-2)\/4)\/(2\/w).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 5231\/5 - 73779\/70. Calculate the common denominator of 121\/246 and h.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 99338 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -102 + 30. Let f = p + 72.5. Let x = -2.72 - -2.12. What is the nearest to 1 in 0.1, x, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -10\/3? (a) 5 (b) 1.7 (c) -6 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Express -4*x - 9 + 32 - 9 - 56*x - 2 in the form z + a*x and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 12:21 PM and 9:40 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*o + 9*o + 72. Is 28 a factor of 21\/(((o\/8)\/(-1))\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(j) = j**2 + j**2 - j**2. Let u(p) be the third derivative of -1\/30*p**5 + 0 + 0*p**4 + 0*p**3 + 2*p**2 + 0*p. What is u(n(q))?\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {g: 1, m: 1, a: 1, b: 2}. Give prob of picking 1 g and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let q(u) = 3*u + 0*u**2 + 10*u + u**2 - 2*u**2. Calculate the remainder when 33 is divided by q(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 1\/2 (c) 78 (d) -53 (e) 8\/5 (f) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*o - 8 = -y, y - 10 = -o - 4. Suppose p + 3 = 2*n + 24, 0 = 5*n - 4*p + 48. Let a be 2\/n*(-2 - 0). Sort o, a, -1\/3 in descending order.\nAnswer: o, a, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -5 + 7. What is the second derivative of 63*k + 3*k**w - 59*k + 2*k**2 wrt k?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -0.02 + -0.28. Let j = 2598\/13 + -200. Which is the closest to -5\/6? (a) j (b) x (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -122? (a) -1\/3 (b) 2 (c) -4 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 170784\/180 + (-8)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 151 divide 4334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Multiply 1.208 and -4316.\nAnswer: -5213.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1709 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*n = -5*b + 11375, 9*b + 4506 = 20*n - 18*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} -{"text":"Question: Suppose -u = 4*u. Suppose 3*t + u*t = 0. Suppose -7 = -t*g - g. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:20 PM and 8:30 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 12720 is divided by 3131?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-42)\/(-15) - (-2)\/10. Suppose 0 = 4*c - 3*t - 269, -o*t - 50 - 15 = -c. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -80674*t**4 + t*v**2 + 2*v**2 + 14*v - 17 wrt t.\nAnswer: -322696*t**3 + v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-12)\/(-15)*(-365)\/(-1168).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -60 + 131. Let g = 116 + q. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -32 + -3 + 57 + -29.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -6 - 6 - -15 - (96 - ((-13 - -10) + 15)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is -23041 - -5?\nAnswer: -23032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -732, -729, -732, -747, -780, -837, -924, -1047?\nAnswer: -1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -93420*o**3*w**2 - 3*o*w**2 - 2*o*w - 38*w**2 - w wrt o.\nAnswer: -560520*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -101110000101111000101101 - 0?\nAnswer: -101110000101111000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 25 = 5*w, -4*m - w + 832 = 287. Let f = m - 65. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 41 divide 33128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 62 is divided by -1 + 1 + -4 + 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(f) = 2167*f - 2180. Calculate w(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let z(a) = 2*a - 3. Let n be z(-3). Let v(m) = -m**3 - 8*m**2 + 9*m + 3. Let j be v(n). Solve 2*d = -y + 13, y + 0*d = j*d - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 324*w - 287*w - 3529023 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -64 + 71 - (8 - 0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Is 37307561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let t(n) = -n + 17. What is t(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Express -5*i**2 - 198 + 64 + 71 + 15*i + 66 as k + q*i + z*i**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*v = -2*a - 105, -3*v - a + 74 = -0*v. What is the nearest to 1\/2 in v, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0013236077 to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let 0 - 366796*x**3 - 1\/2*x**5 + 0*x + 734449\/4*x**2 - 3427\/4*x**4 = 0. Calculate x.\nAnswer: -857, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -82396154822.2 - -82396147441.41099974. Let h = b + 7374.789. Let s = 6 + h. What is s rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 2673026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Put -0.04, -0.7, -5 in decreasing order.\nAnswer: -0.04, -0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 113\/80 and 13\/960.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -4.6 - 0.4. Let y = -21569.9 + 21570. Sort -2, f, y, -0.15 in ascending order.\nAnswer: f, -2, -0.15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -55 - 3*x**2 + 2*x**2 - x**2 + 17 with respect to x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 192, 190, 186, 180, 172?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -75105, -150211, -225317, -300423, -375529, -450635?\nAnswer: -525741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 1059 + -729. Suppose 2280 = 6*i + u. Suppose -5*c = 5*b - i, b + 6*c - 3*c - 71 = 0. Is b a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {l: 5}. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -239\/30 + 73\/10. Let w be 1\/(-4) - 34\/(-8). Suppose 5*v = -0*v + 10, 0 = -2*n - w*v + 14. Put h, 2\/5, n in decreasing order.\nAnswer: n, 2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out -4051.98 - 0.1299.\nAnswer: -4052.1099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Express 0 - 1542672*d**2 + 1542672*d**2 + 0 - 2*d**3 - 13134*d as s*d + x*d**3 + n*d**2 + m and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: (-30)\/(-15)*(-28)\/8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from pfinfiiii. Give prob of picking 1 p, 1 f, and 2 i.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth biggest value in 0.2, -1027, 11, -1\/6, -8?\nAnswer: -1027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 8729 in 8, 2\/3, 0.2, 0, 5\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let l(s) be the first derivative of -s**4\/4 + 7*s**3\/3 - 5*s**2\/2 + 7*s - 22. Let r be l(6). Which is smaller: 11 or r?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -452*r**3 - 14*r**2 + 2419 - 2361 - 1412*r**3 wrt r?\nAnswer: -11184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -50236 - -50240. Let v(b) = -3*b - 1. Let n(j) be the third derivative of -2\/3*j**4 - 5\/6*j**3 + 0*j - 2*j**2 + 0. Determine a*n(q) - 22*v(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is (-2)\/((-104)\/(-28))*(-4)\/(-14)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 157 - 148 - (0 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 89 + -254. Let v = -165.00233 - t. Round v to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*k = t + 18, 21*k = 4*t + 17*k + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Solve -33 = -2*m - 39 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Does 12 divide 89534686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: a (base 12) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -8625, -33525, -75025, -133125?\nAnswer: -207825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 131\/204 and 163\/312.\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -13.2206*13.\nAnswer: -171.8678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve a**5\/5 + 21*a**4\/5 + 103*a**3\/5 + 207*a**2\/5 + 184*a\/5 + 12 = 0.\nAnswer: -15, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 60*y**3 + 70*y**2 + 13*y**3 - 70*y**2.\nAnswer: 73*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: ((-120)\/36)\/(6\/(-18))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be -4 - (246\/90 - (-6)\/(-15))*42. Let s(d) = 63*d + 5. Let c(l) = -1292*l - 102. Give j*s(f) - 5*c(f).\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -79\/104 and 53\/11843.\nAnswer: 94744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let r(k) be the third derivative of -1\/8*k**4 - k + 0 + 0*k**5 + 1\/3*k**3 + 1\/120*k**6 - 54*k**2. Give r(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of 126*y**4 + 231*y**3 - 57170 wrt y?\nAnswer: 504*y**3 + 693*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let m(b) = -21*b - 9. Let y be m(-2). Let o = 49 - y. Find the third derivative of -5*h**2 - o*h**4 + 11*h**2 + 16*h**4 + 6*h**5 wrt h.\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -406 + 415. Solve -46*f + 43*f = -r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 3? (a) -0.3 (b) -4\/15 (c) 1\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*y + 2*w - 69289 = 0, 38*y - 40*y + 27718 = 2*w. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is -85347 + 5?\nAnswer: -85342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 291 + -290. What is the closest to 0.1 in 1\/9, -1, h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {n: 3, i: 2, v: 6, q: 3, k: 1}. What is prob of picking 1 n and 2 q?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 108*q - 1509 - 2919. What is the remainder when q is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is 1401212 - -2?\nAnswer: 1401214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 716739701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let y(n) = -3*n**2 - 4. Let v(i) be the third derivative of i**5\/15 + 5*i**3\/6 - i**2. Give -4*v(c) - 5*y(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let a be 18060\/340 - (-2)\/(-17). Let o(z) = 0*z**2 - 61*z - 2*z**2 - 12 - a*z + 127*z. What is o(8)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1 - (2 - 1) - (15 - 19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7*g - 216 = -25*g. What is the smallest common multiple of g and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (3*j - 51*j + 9*j)*(-3*j**2 - 2*j**2 + 3*j**2) to s + z*j**3 + v*j + t*j**2 and give z.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let v(s) = -30*s**2 - 4*s + 20. Let b(i) = 2*i**2 - 2*i - 2. Let o(p) = 14*b(p) + v(p). Determine o(-15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (25\/(-9) - (-4)\/(-18))*(73304\/462 + -173).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 3440252?\nAnswer: 2, 860063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 p, 1 v, and 1 y when three letters picked without replacement from {v: 5, y: 8, p: 1, j: 4}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 812\/1015*((-1 - -5)\/(-1) - -114) - 9.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(w) = -2*w - 3*w + w. Let y(f) = -4*f**2 + 10*f - 20. Let g(d) = -3*d**2 + 8*d - 16. Let s(z) = -5*g(z) + 4*y(z). What is q(s(k))?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve 530*y + 82 = 612 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let j(r) = 8*r**3 + 7*r**2 - 17*r + 11. What is the remainder when j(3) is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 37.3 + -34. Let g = h - 3. Let t = 986\/5 - 1987\/10. Which is the biggest value? (a) t (b) -2\/25 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(f) = -f**2 - 620*f - 1238. What is i(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 135\/89012 and 127\/5118190.\nAnswer: 10236380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is 250002.5 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve 7*q - 16*l + 22 = 3*q + 118, -4*l + l - l = -12 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 539 minutes after 5:43 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -611 + 614. What is the closest to -29 in 0.1, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*n + t = -10, 19*n - 5*t - 8 = 23*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 108 or 1\/4?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Sum -8078482 and -15451.\nAnswer: -8093933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Are 0.0281176 and -1.81 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 9483210 divided by 50985.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let k(l) = 4*l - 3. Let o be k(3). Let g(a) be the first derivative of a**4\/4 - 2*a**3 - 11*a**2\/2 + 6*a + 67. Let x be g(o). Round x to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 0.019 in 3, 2\/633, 0.1, -0.1?\nAnswer: 2\/633","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: 0.0370146 * -0.79\nAnswer: -0.029241534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Round -4360197.7 to the nearest 10000.\nAnswer: -4360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: How many milligrams are there in 28.74825 kilograms?\nAnswer: 28748250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let r(x) = x**3 + 30*x**2 + 21*x - 182. Let j be r(-29). Let a be (-122496)\/j - 32\/400. Round a to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*q - q + 7 - 2*q)*(-55*q - 49*q - 59*q).\nAnswer: 163*q**2 - 1141*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is (1\/(2\/(-1))*0)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 43063, 43054, 43041, 43024, 43003, 42978, 42949?\nAnswer: 42916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Express -47 - 37 - n**3 - 57 - 18 + 6 as c + f*n**3 + d*n + p*n**2 and give c.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let b(z) = 62*z**2 + 12*z - 9. Let o(k) = 127*k**2 + 27*k - 20. What is 22*b(p) - 10*o(p)?\nAnswer: 94*p**2 - 6*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is -2a7 - 41?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 2*(21\/(-6) + 1). Let y = -6 - w. What is the units digit of (0 + 2 + y)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(t) = -9117*t - 1695759. Determine p(-186).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 u and 1 q when three letters picked without replacement from uuuuqzzuzzu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let g(x) = x**2 + 2*x - 1. Let s be g(1). Suppose 0*t + s*t = 57870. Let y = 5065 + t. Round y to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -54*m + 73*m - 38 = 0. Let i be (0 - 4\/(-1)) + -1. Suppose m*y - 23 = -i. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {o: 1, n: 1, j: 1, g: 3, r: 5, q: 1}. What is prob of sequence gno?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 14.9761 and 0.039?\nAnswer: 0.5840679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 3\/(-18)*18*(-27718)\/3.\nAnswer: 2, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s be (-290)\/(-174)*18\/(-10). Sort -5, -1, s, 30 in decreasing order.\nAnswer: 30, -1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(g) = g - 5. Let a(m) = -1. Let p(z) = z**2 - 16*z + 31. Let i be p(19). Let d = i - 70. Let h(o) = d*a(o) - 2*r(o). Give h(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 4974*l + 5257 wrt l?\nAnswer: 4974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let g(h) = 511*h**3 + 1089*h**2 + 6*h - 4. Let q(f) = f**3 + 2*f**2 - 3*f + 2. Let i(p) = g(p) + 2*q(p). What is the third derivative of i(s) wrt s?\nAnswer: 3078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(o) = -65*o**2 + 41*o - 58. Let c(k) = -37*k**2 + 20*k - 30. Let d(n) = 7*c(n) - 4*i(n). What is d(23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 277 minutes after 5:52 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is fourty-three quarters of a microgram in nanograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Sort -239, 15234, -4 in decreasing order.\nAnswer: 15234, -4, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*w**5\/2 - 144*w**4 + 1875*w**3\/2 + 30375*w**2 - 3774*w - 119196 = 0. What is w?\nAnswer: -11, -2, 2, 21, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} -{"text":"Question: Let v(s) = s + 0*s - 37*s**2 - s. Let g(c) be the first derivative of 3*c**2\/2 - 2579. Determine v(g(o)).\nAnswer: -333*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {i: 1, b: 1, m: 3}. Give prob of sequence mmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is 2003 + -104?\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 176886348.\nAnswer: 2, 3, 43, 342803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence frnf when four letters picked without replacement from rfrffnfnbsbr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Factor -i**3\/2 - 70835*i**2\/2 - 247898*i.\nAnswer: -i*(i + 7)*(i + 70828)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.0636206678 to 4 dps.\nAnswer: 0.0636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Product of 336416 and -2.\nAnswer: -672832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 258*x - 125*x + 196*x - 8296393. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -16022 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let f(d) = 2*d - 6. Let b be f(5). Suppose -2*t + b*t - 2640 = 0. List the prime factors of t\/130 - 2\/13.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -48*t - 20 = -44*t - j, 3*t = 7*j + 10 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let j(c) = 57*c**2 + 1. Let d be j(-1). Suppose 4*p - 26 = -g, -5*g - 5*p + d = 3. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 230173 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (b**4\/b)**45*(b**0*b)**1 assuming b is positive.\nAnswer: b**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.00000114469 to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 7026 - 6722. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let 484*o**4 + 32252*o**3 + 20168*o**2 - 10544*o + 1056 = 0. What is o?\nAnswer: -66, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose y = -5*k + 1344, -3*k + 4*y = -502 - 286. Suppose -4*r + k = -5*n + n, -4*n + 5*r = 266. What is the tens digit of (n\/(-4))\/(6\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {x: 1, t: 1, a: 4, n: 3, j: 1, c: 2}. What is prob of sequence xc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Does 43 divide 356541507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -29 - -35. Let i(p) = 15*p - 20. What is the tens digit of i(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 2 + 1003?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -3*k**3 + 1062*k - 1062*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let c(y) = -y**2 - 33*y + 112. Let n be c(-36). Suppose -n*q + 5*f + 764 = 0, -3*q + 58 = 5*f - 480. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -95 - 306*b - 96 + 191.\nAnswer: -306*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 1179 and 441863?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((d**(-9)*d*(d\/d**(4\/9))\/d*((d\/d**(-3))\/d*d)**(-1\/93))**(-5))**(-39) assuming d is positive.\nAnswer: d**(-153920\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (8\/20)\/(19448\/(-1870)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 85\/4 or 21?\nAnswer: 85\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 1 in 6\/7, 4, -451?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -1 or 1\/19215?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Put -0.1, -1\/14, -0.2, 3 in descending order.\nAnswer: 3, -1\/14, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (u**(2\/5)*u\/((u\/(u*u*u\/u**(6\/13)*u)*u*u)\/u)*u*u**19*u*u*u**3)**11 assuming u is positive.\nAnswer: u**(19976\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let t(p) = -726*p + 3760. What is t(7)?\nAnswer: -1322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Sort 0, -2\/5, 28, -44, -0.1, 14 in increasing order.\nAnswer: -44, -2\/5, -0.1, 0, 14, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 360690049.\nAnswer: 1973, 182813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*m + 12*k + 45 = 17*k, 2*k - 105 = 16*m + 25 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4 + 6*sqrt(84)\/sqrt(7).\nAnswer: 4 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -4*u - 12, -4*u = -r + 16. Suppose -r*i + 3*w = -321, -3*i - 4*w + 225 = -w. Which is the third smallest value? (a) i (b) 3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let -i**2\/8 + 29*i\/2 + 1092 = 0. Calculate i.\nAnswer: -52, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 2*d**4 + 30*d**3 - 12154*d**2 - 1214097.\nAnswer: 8*d**3 + 90*d**2 - 24308*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 5678597.\nAnswer: 73, 107, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -c - 5*c + 12 = 0. Factor 7 - 11 - 8*s - 2 - 2*s**c.\nAnswer: -2*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 1, 0, -1, -2, 2 in increasing order.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is 559 minutes after 4:26 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: -1 + 2 + 1 + (-4 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (-3)\/(-2) - (-4)\/8. Suppose h = -r*h + 6. Suppose 5*a - 105 = h*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 59 in -12, 0.4, -114?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Expand 192*r**2 - 192*r**2 + 22*r**5 + (-2*r**2 + 2*r**2 + 3*r**3)*(-4*r - 2*r**2 + 4*r).\nAnswer: 16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 4823 and 7896?\nAnswer: 5440344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is 17489a9 - 0?\nAnswer: 17489a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {f: 17, r: 2}. Give prob of sequence fff.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let q(h) be the second derivative of h**6\/30 - h**5\/20 - h**4\/12 + h**3\/6 + 4*h. Factor q(n).\nAnswer: n*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (-2)\/(-7322)*42\/18. Let a = -16733\/4707 - q. Which is smaller: a or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 1379407, -5, 37 in descending order.\nAnswer: 1379407, 37, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 151, 44, -161, -512, -1057?\nAnswer: -1844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 18 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 17322361 and 371.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is -2 + -21646.583386?\nAnswer: -21648.583386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is 210212 - -11?\nAnswer: 211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 139 > 116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let u(p) = 1. Suppose -3*i - 8 = -5*n, 4*i - 2*n + 6 = -0*i. Let w(b) = -15*b + 22. Let y(a) = i*w(a) + 3*u(a). What is the units digit of y(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(x) = -22*x + 56. Let a(r) = -r - r + 26 + 28 + 30 - 79. Give 68*a(m) - 6*n(m).\nAnswer: -4*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let r(h) be the second derivative of -h**5\/20 - h**3\/3 - h**2\/2 + h. Let s(g) = -g + 7. Let x(j) = -2*j - 2. Let l be x(-5). Let b be s(l). Give r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is -5 + -131?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 62*k = 94*k - 2688. Calculate the greatest common factor of 1218 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the eighth root of 83256 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from fqiif.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 54571, 54002, 53053, 51724, 50015?\nAnswer: 47926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (-4)\/(-10) - 66\/15. Let u = 16 - 17. Put 3, u, x in ascending order.\nAnswer: x, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -287*i + 282*i + 765 = 0. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -291*w + 40 = -290*w + 4*i, 11*w + 4*w - 12*i = -48 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is (-14)\/(-4)*2968\/(-5194)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 788, 3072, 6876, 12206, 19068, 27468, 37412, 48906?\nAnswer: 61956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 6523 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -3.167 - -0.067. Let t = 8.3 + w. Let d = 5 - t. Which is the third smallest value? (a) d (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-84)\/(-8))\/7*(-4)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is 3006 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 35644 and 1368.\nAnswer: 641592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {x: 2, s: 2, j: 1, w: 9, q: 3, v: 1}. Give prob of picking 1 s and 1 v.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let w(z) = 0*z**2 - z**2 + z - 3 - 6*z. Let q be w(-3). Let o be ((-45)\/(-24))\/(3\/(-4)). What is the nearest to -0.01 in o, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:45 PM and 6:40 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 k, 1 z, and 2 e when four letters picked without replacement from szeaaakarzasarzza?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 47548*b**3*d**2 + 3*b**3*d + 2*b**3 - 54*b*d - 3*d**4 - 131*d wrt d?\nAnswer: 95096*b**3 - 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -0.2 + 1.2. Let h = -547\/58 + -2\/29. Let i = h - -9. What is the closest to 0 in -2\/9, d, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-1 + -1)\/((20\/38)\/(-5)). Suppose -t + 14*a + 17430 = o*a, a = 3*t - 52370. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -28*g - 2 = -26*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -21 + 30. Suppose 74 = 5*s + q. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of -1601, -12524, -42215, -100058, -195437, -337736?\n\"Answer: -1564*w**3 + 25*w - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 1131 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 3*((-4)\/(-14))\/((-1296)\/112)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be (-1 + -9)*(-12)\/32*-12. Let d = p + 48. Calculate the remainder when -237*d\/(-13 + 4) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -h + 7*h + 3710008 = 170*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 811*l = 8654 + 5133 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let o(j) = -12*j - 19. What is the units digit of o(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the seventh root of 818648098 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {o: 2, n: 1, g: 2}. Give prob of picking 1 o and 2 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of -11596, -11598, -11600, -11602, -11604?\n\"Answer: -2*w - 11594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 6 + -1. Let h be k\/15*12\/2. Solve -2*w = h*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {b: 1, j: 2, k: 2, f: 7, y: 4}. What is prob of sequence fjf?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is -38841 (base 10) in base 13?\nAnswer: -148aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Sort 433, 1, 0.\nAnswer: 0, 1, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -63\/2980 and -111\/1490.\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is 74.47743ml in litres?\nAnswer: 0.07447743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: -0.3*0.017\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is 10 - -111101100?\nAnswer: 111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (((-81)\/90)\/(-3)*(-48)\/18)\/((-78)\/(-3)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is -21318 divided by -1254?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-12 + 5 + y + 0)*(-36 + 18 + 17 - 7*y**3) - y**4 + 2*y - 2*y + (-3 + 1 + 3)*(-y**4 + 0*y**4 + 0*y**4) - y + y - 2*y**4.\nAnswer: -11*y**4 + 49*y**3 - y + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*i = l + 11 - 24, 2*i - 6 = 0. Which is the fourth biggest value? (a) l (b) 5 (c) 1\/4 (d) -0.285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of -21, 2, 29, 60, 95?\n\"Answer: 2*u**2 + 17*u - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Sort 4\/795, -6594, 2\/13 in ascending order.\nAnswer: -6594, 4\/795, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -z = d - 6, 0 = -d - 0*d - 3*z + 14. Let b(h) = 2*h + 4. Let l be b(-4). Let j be -1 - 1\/(d\/l). Which is bigger: -2\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*h - 4 = 12. Let i be -1 + 3 + -2 - h. Suppose -i*g + g = -15. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (0 - 1) + 3 + 41 + -43.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let j(o) = -o**2 + 21*o. Let q be j(21). Which is the closest to q? (a) 0.1 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 4868 bigger than 4869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*o**5\/21 - 80*o**4\/3 - 12386*o**3\/21 + 1526348*o**2\/7 + 18605112*o\/7 + 56027088\/7 = 0.\nAnswer: -173, -6, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 4 - -1525?\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 1729 and 2639.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is -73.3 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 218275049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: -120670 divided by -10\nAnswer: 12067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -13\/283 and -19\/1875158?\nAnswer: 1875158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of -128, -257, -386, -515?\n\"Answer: -129*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let i(b) be the first derivative of -7*b**3 - 9*b**2\/2 - 11*b - 233. Let s(m) = -4*m**2 - 2*m - 2. Determine 2*i(k) - 11*s(k).\nAnswer: 2*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 31257.\nAnswer: 3, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -19*u + 5*u - 66*u.\nAnswer: -80*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let b(q) = 2*q**2. Let p(d) = 478*d + 4. Let g(v) = 481*v + 3. Let c(i) = -3*g(i) + 2*p(i). Give c(b(y)).\nAnswer: -974*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 678 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let o(k) = -k**2 + k. Suppose -6 = 2*i + 2. Let f be 4\/(-8) + (-10)\/i. Let g(l) = 3*l**2 + 6*l + 2. Let q(c) = f*o(c) + g(c). Determine q(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 11.8 rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: (-1 - 7) + 8 + 9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((y**(-2))**17\/(y**(-1\/3))**50)\/((y**(-4)*((y\/(y\/(y*y**(2\/17))))\/y)\/y*y)\/((y*y\/(y*y**(-5)))\/y*y*y\/y**6)) assuming y is positive.\nAnswer: y**(-635\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve -y = -3*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.3 times -36457?\nAnswer: -10937.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Expand (6*u - 2*u - 2*u)*(-3 - 1 + 2) + (-2 + 2 - 4)*(-77 + 77 - 9*u + (4 - 3 + 0)*(2*u + 2*u - 2*u) + 2 + 3*u - 2) + (-2*u - 2*u + 5*u)*(0 + 5 - 4).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is 34.399 rounded to one dp?\nAnswer: 34.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let r(j) = -j**2 - 4*j - 7. Let d(p) = -p**2 - p - 1. Let q(t) = -6*d(t) + r(t). Let i be q(1). Let b(u) = 2*u - 3 - i*u - 1. Give b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -2 + ((-2*((sqrt(171) + 2)*1 + sqrt(171) - sqrt(171)))**2 - (1 + sqrt(171) + 0 + 5)).\nAnswer: 45*sqrt(19) + 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 0 - 1183?\nAnswer: -1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*l**3 - 36*l**2 + 20604*l - 41040 = 0 for l.\nAnswer: -90, 2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 2.13 - -0.87. Which is the third biggest value? (a) -15 (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(s) = -7 - 40 + 26669383*s**2 - 26669382*s**2 + 5*s. Determine m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((sqrt(64)*-1)\/sqrt(2))\/sqrt(4))\/(-5*sqrt(16)\/sqrt(4) + sqrt(40)\/(sqrt(10) - ((sqrt(10) - (sqrt(30)\/sqrt(3) + sqrt(10))) + sqrt(10)))).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -996091*f + 467622*f + 2990205*f + 2657851*f.\nAnswer: 5119587*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-1 + -2*sqrt(1331) + (sqrt(1331) - sqrt(1331)*3)*-5 - (-2*2*sqrt(1331) - sqrt(1331) - ((sqrt(1331) - 2*sqrt(1331)*-3) + sqrt(1331)))) + -1)**2.\nAnswer: -924*sqrt(11) + 586975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 234166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*q + x = 25, -4*x + 24 - 1 = q. Let o(v) = 7 - q + 3*v**2. Let t(h) = 3*h - 2*h - 2*h. Give t(o(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from erueyeuze.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let k(n) = 5*n**2 - 49*n + 4. Let j = -248 - -258. Calculate the remainder when k(j) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -22804233 divided by 7601411?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -61\/58 and 121\/1392.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -81 - 1008*g**2 - 558 - 268 - 27*g**3 + 1013*g**2 wrt g.\nAnswer: -81*g**2 + 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-8 - 4 + 3)*(19 + w**3 - 3*w**3 - 17) - w**3 + 0 + 0 + 2*w**3 + 2*w**3 - 2*w**3 + 3*w**3 - 3 + 3 + (w - 4*w + 5*w)*(4*w**2 - 3*w**2 - 2*w**2).\nAnswer: 20*w**3 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let g(c) = -155 - 155 + 309 - c. Let d(j) = -2*j - 2. Let a = -2 - -3. Give a*d(w) - 4*g(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -7*o**2 - 29*o**2 - 30*o**2 - 22*o**2 + 60*o**2 - 6*o**2.\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 4912*j*u**2*z**2 - j*u**2*z + 3*j*u*z**2 - j*u - 18*u**2*z**2 + 1484*z**2 + 6 wrt u.\nAnswer: 9824*j*z**2 - 2*j*z - 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -865, -881, -899, -919, -941?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1258150 divided by 47.\nAnswer: 1258150\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Sort -2\/64811, -26, 2\/3, -1\/3 in descending order.\nAnswer: 2\/3, -2\/64811, -1\/3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is 3805.496 rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 87907*l**3 - 175849*l**3 + 87919*l**3.\nAnswer: -23*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) 0.4 (b) 1 (c) 2\/81 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: 2055142 (base 7) to base 13\nAnswer: 894c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 122\/3 + -371\/8. Calculate the common denominator of w and 32\/687.\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 47.4 + -47. Let w = -1.3 - -0.2. Let y = 1 + w. What is the closest to -3\/4 in y, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (-4)\/(-30) - (-247)\/285. Solve -f = -2*b + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 5028 divided by -25.\nAnswer: -5028\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (-2)\/(-10) - (-374)\/55. Suppose 4*n - t = -3. Put n, 0, 10, -2 in descending order.\nAnswer: 10, n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out 8324 - -1473.\nAnswer: 9797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 159 - 151. Solve 4*r = 0, -n = -3*n - r + y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 104*v**2 + 30*v**2 + 116*v**2 - 2.\nAnswer: 250*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -13 + 3 + 5 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 7285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) 0.5 (c) -0.1 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 86 and 695654?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 1813455 and 690840.\nAnswer: 14507640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -t = 325*l - 323*l - 3, 5*t = -3*l - 13. Let i = -56 - -56. Solve -5*d + l*u - 4 = i, 3*d - 5*u + 2 = -3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -154.4 - -154. Let o = 0.99 - -0.01. Which is the nearest to o? (a) 0 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 1 + 150*t**2 - 3 + t**3 - 145*t**2 - 2*t in the form v*t**3 + j*t**2 + d + k*t and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: 122210120 (base 3) to base 16\nAnswer: 32af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (-1 - (-14766)\/15) + (-2)\/5. Suppose 5*g - 137 - f = 0. Does 28 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(g) = -g**2 - g. Let p be t(1). Let r = 62.067 - 0.067. Let n = r + -58. What is the closest to -1\/2 in p, n, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 7164313 is divided by 223.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Expand -6022*g**4 - 5 + 4 + 6034*g**4 + (-1 + 1 - g)*(0*g**3 + 3*g**3 + 3*g**3).\nAnswer: 6*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Are -1 and 2\/45790935 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-3)\/(-9))\/(15\/(-18))*425\/85.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let s be (-1917)\/(-2059) + 2\/29. What is the highest common divisor of 59 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:09 AM and 1:37 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let a be (30\/(-24))\/(1\/4). Sort 4, a, 2 in decreasing order.\nAnswer: 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence sdk when three letters picked without replacement from {d: 1, c: 4, v: 3, k: 5, s: 1}.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 7 and 816756269.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) 1\/10 (c) -10 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from wccbcqcwyqqiqqicb. What is prob of picking 2 c and 1 q?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 102\/(-60) - (-14 - 897\/(-65)). Let g be (-1*(-1 - -1))\/(-2). Let z be 0 + (1 + g - 1). Is z < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:50 PM and 8:10 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*g - 20 = 2*b, -3*g - 4*b - 15 = -1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of a*z**2 - a*z + 9*a - z**5 + 1 wrt z?\nAnswer: 2*a - 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 6 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: 268 (base 11) to base 15\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: -1 times -36004.72\nAnswer: 36004.72","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 2\/9, -3, 91807?\nAnswer: 91807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) 5 (b) 1\/11 (c) -2 (d) -0.4 (e) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -47, 198, 437, 670, 897, 1118, 1333?\nAnswer: 1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 262776314.\nAnswer: 2, 131388157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -n - 0*n + 2. Let r = 1 + 26. Suppose -n*t + r = 11. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -3*g**3 + 0*g**3 - 2 + 660*g + 898*g + 943*g + 20*g to the form j*g**2 + q*g + w + b*g**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 6320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -76 + 137. Let r = 124 - w. Suppose 0 = -2*n - 2, 2*f - 3*n = -f + r. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(d) be the first derivative of -1\/4*d**4 + 16*d + 7*d**2 + 40 - 4*d**3. What is i(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(y) = 3*y**3 - 35*y**2 + 105*y - 60. Give a(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (r*((r*r**(1\/3)*r)\/r)\/r*r*r*r**(2\/3))**(-5\/6)*((r**(2\/7))**(2\/15))**(-22) assuming r is positive.\nAnswer: r**(-146\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Is 3\/1193 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(112)*2 + 0 + sqrt(112).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0.1 in 0.4, -32\/3, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*c = -l + 273602, -c + 3*l = 9*l - 54703. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 9072 and 1337553?\nAnswer: 21400848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 223320 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:38 AM and 12:48 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -188*g = -43*g - 290. Let n(b) = 27*b - 11. Give n(g).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -5*((sqrt(4900)*-3)\/(sqrt(63)\/(sqrt(9)*-1)) + 5).\nAnswer: -150*sqrt(7) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -8 + 5. Let f = 2.99999991 + m. What is f rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: -175 * 0.5\nAnswer: -87.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 14130152 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -l**2*x**3*z - l**2*x**2*z - 3*l**2*x*z + 2*l*x**3*z - 3*l*x**2 + l + 65*x**3 wrt x.\nAnswer: -6*l**2*z + 12*l*z + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -18*z - 12*z - 510. Let h(l) = -l - 12. Let x(k) = k + 11. Let j(a) = 3*h(a) + 2*x(a). Calculate the remainder when 5 is divided by j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence prjp when four letters picked without replacement from ppjprrrrppr.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let s(j) = j**3 + 11*j**2 + 7*j + 14. Let f be s(-7). Calculate the greatest common factor of f and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(t) = 5*t - 9. Let s(z) = 11*z - 19. Let b(l) = 9*f(l) - 4*s(l). Let x = 0 - -6. Let h(i) = -i + 4. What is x*h(y) + 5*b(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (f*f**(-10)*f)**(1\/26) assuming f is positive.\nAnswer: f**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 3\/2 + -3*600\/144?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 45*l = 46*l + 7. Is (-6 - l)*(-2 + 5970) - -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(t) = -t + 4. Let i(k) = -k + 1. Let m = 61 - 85. Let q be (-3)\/18 + (-76)\/m. Give q*i(p) - z(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((z**(2\/5)*z)**(-4\/17)\/(z**(-3\/7)\/z**(-2\/3)))\/(((z*z\/z**3)\/z**4)\/(z**(-2\/3)*z**2)) assuming z is positive.\nAnswer: z**(10292\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.00054952279 rounded to seven decimal places?\nAnswer: 0.0005495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of 14705539, 14705538, 14705539, 14705542, 14705547, 14705554, 14705563?\n\"Answer: d**2 - 4*d + 14705542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let u(a) = 8 - 8 - a - a**2 + a**3 + 1. Let o be u(2). Suppose -2*s - 17 = 3*r, -5*r + o*s - 5*s - 23 = 0. Let w(n) = -n + 2. What is w(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*g - 32 = -3*p, 4*g + 18 = -4*p + 66. Calculate the highest common divisor of 20 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 157801557 or 157801554?\nAnswer: 157801554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 1? (a) 0 (b) 3 (c) -3 (d) -4 (e) -0.24206 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let c be ((-7)\/(-2))\/(17\/(-34)). Let s be (c - -1)*(-37)\/3. Let n = s + -53. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the cth term of 30772736, 30772756, 30772776?\n\"Answer: 20*c + 30772716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let s(q) = 82*q - 235. Let z be s(5). What is the highest common factor of 25 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(d) = 9*d. Let r(x) = -38*x**2 + 6*x - 3. Give v(r(f)).\nAnswer: -342*f**2 + 54*f - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -7 + 7. Let f = r - -0.2. Let h = -0.8 - -0.3. Which is the nearest to -1? (a) -4 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (m**35*m*m)**(-28) assuming m is positive.\nAnswer: m**(-1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 1637 - 1082. Suppose -1420 = -5*k - j. Suppose z - 3*r = 173, 5*r = -z + 2*r + k. List the prime factors of z.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of (37050\/(-135))\/19 - (1 + -7) and -55\/718?\nAnswer: 6462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -44*x + 8*x - 3212064 = 0. Let z = x - -166553. Is z 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 26 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from gggxgx. What is prob of sequence gxxg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -u - 2*u - 4 = -5*n, -2*u + 4 = 0. Solve n*h - 2*l - 3 = -5*l, 0 = 5*h - 2*l + 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3*u**5 - 45*u**4 + 207*u**3 + 861*u**2 + 936*u + 324.\nAnswer: -3*(u - 6)*(u + 1)**3*(u + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 237462058 is divided by 762.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {l: 1, h: 2, q: 1, n: 2, k: 1, j: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 4\/14 + 972\/(-21) + 1. Let y be 3\/(-2) + -1 + r\/(-10). Calculate the highest common factor of 22 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be (-3)\/(2 - 102\/42). Suppose 38 = z*h + 17. Solve 4*v = -7 + h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 7738 + 198*w**3 - 597*w**3 + 200*w**3 + 196*w**3.\nAnswer: -3*w**3 + 7738","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -20530572*f**2 + 51762668.\nAnswer: -41061144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Factor 1\/2*w**3 + 5\/2*w + 1 + 2*w**2.\nAnswer: (w + 1)**2*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 865692526.\nAnswer: 2, 293, 1477291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*h**4\/3 - 112*h**3 + 338*h**2\/3.\nAnswer: -2*h**2*(h - 1)*(h + 169)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the nth term of -50619812, -101239625, -151859438, -202479251, -253099064, -303718877?\n\"Answer: -50619813*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 4321.9 years in months?\nAnswer: 51862.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*d - 2*d - 20 = -3*k, -15 = -3*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -33.37 + 33. Let z = x + 0.07. Suppose -2 - 18 = -4*n. Sort z, n, -2\/9.\nAnswer: z, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: 26.2 - -102.55809757\nAnswer: 128.75809757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1? (a) -8 (b) 0.5 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (p**(-2\/7)\/p*p\/(p**(-3)\/p)*p**6\/(p*p*p*p**(-15)\/p*p*p))**(2\/151) assuming p is positive.\nAnswer: p**(290\/1057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of -14277, -14274, -14271?\n\"Answer: 3*v - 14280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2 + 10 = 6*m. Suppose -5*n + 0*i = -i - 23, 0 = -5*n + m*i + 21. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2*(3*(-1*(sqrt(171) + sqrt(171) + (0 + sqrt(171) - sqrt(171) - sqrt(171)) + sqrt(171)) - sqrt(171) - sqrt(171)) + -2)**2.\nAnswer: 288*sqrt(19) + 49256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 27 = -8*a - a. Let z(i) = i**2 - i - 7. Let n be z(a). Solve -t + n*f = -6, 0 = -f - 4*f - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -9 = -5*b + 6, 2*w = 3*b + 17. Suppose 68 = s + w. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 1 - (1 - 6 - 9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -22\/5 - -71\/15. Suppose 3*n - 56 = -65. Which is the nearest to l? (a) 3\/2 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 10291232 is divided by 781.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Put 3, 1\/6, -5, 2\/9, 34\/9 in descending order.\nAnswer: 34\/9, 3, 2\/9, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 5195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve b**4 + 11*b**3 - 8*b**3 - 5*b**5 + 7*b**2 + 0*b - 8*b**4 + 2*b = 0 for b.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 58628.\nAnswer: 2, 14657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the yth term of -1037, -1023, -999, -965, -921, -867, -803?\n\"Answer: 5*y**2 - y - 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 1\/3*(5 + 4). Suppose -4*h - h = 20, -u*g + 5*h = -41. Let n be (-1 + (-308)\/49)*g\/4. Is -14 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -13812117, -13812101, -13812077, -13812045?\nAnswer: -13812005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: 0 - (151 + -144 - (0 + -2) - -4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let v be 0 + 1 - (-1 - 6 - -97). Let t = v - -107. Let x(k) = 7*k**2 - 1. Let l be x(1). Solve -l = 4*q - t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 13184 and 9560.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 51591 is divided by 50133.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 89 - 87. Solve 2*d + 10 = -o + 5*d, -c*o = 4*d - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) 0 (b) -4 (c) 1\/4 (d) -0.5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 30752.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Is 12 a factor of 7721895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 118 - -341. Let r = a - 456. Solve z + r*v + 0 = -1, -3*v = 3*z + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 3484285.\nAnswer: 5, 7, 99551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Factor 2*n**2 + 5765968*n + 11531928.\nAnswer: 2*(n + 2)*(n + 2882982)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -16 + 304 = 72*z. Let x be 7 + (2 + 0 - z - 1). Find m such that -1\/5*m**5 + 0*m + 0*m**x - 2\/5*m**2 + 3\/5*m**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 17 divide 3621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let t(j) be the first derivative of 0*j - 2 + 0*j**2 - 2\/3*j**3. Let r(s) = -18041*s**2 + 36152*s**2 - 18078*s**2. Determine t(r(z)).\nAnswer: -2178*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve -6816 = -13154*q + 13250*q for q.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is -2200221000011 - 211?\nAnswer: -2200221000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 7 = 4*v + 3, -f + 11 = 3*v. Let x(d) = -f + 9 - d + 0*d. Let o be x(-1). Solve t + t = o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (a**(-2\/5))**(-8\/15)\/(a**(1\/4))**(-2\/29)*a**(-7\/5)\/(a\/a**4)*a*a**4*a*a**7\/a assuming a is positive.\nAnswer: a**(60163\/4350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of -22, -62, -140, -274, -482, -782, -1192?\n\"Answer: -3*d**3 - d**2 - 16*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Does 59 divide 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (28 + -4 + -13 - -11) + -5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 93\/343564 and -89\/64480.\nAnswer: 426019360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 90122322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 5*v + 24*v + 30*v + (0 + 3 - 1)*(-v + 2 - 2) + (-1 - 1 + 1)*(3*v - v + 0*v) + 2*v - v - 3*v + 0*v - v - v + 3*v + 3*v - 4*v to z + o*v and give o.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 365659947 and 537.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Factor a**3\/2 - 205*a**2\/2 - 1302*a.\nAnswer: a*(a - 217)*(a + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let x(p) = 2*p**2 + 130*p - 22. Give x(-65).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let q(x) be the third derivative of -3*x**6\/20 - x**4\/24 - x**2. Let l = 32 - 33. What is the remainder when q(l) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7 - 7 = -7*l. Let j be l\/13 - (-756)\/(-2548). Sort -0.1, 0.4, 1\/2, j in decreasing order.\nAnswer: 1\/2, 0.4, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 408 minutes before 4:59 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*a + 2*f - 10, -3 = 2*a + f - 10. Let p = 1 - 1. Let q(h) = -28*h + 310. Let c be q(11). Solve -a*x = c - p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(o) = -o**2 + 3*o. Let p be i(3). Suppose 51 = j - p*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 1883034775?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Express -16*o - 4*o**3 - 475 + 3*o**3 + 477 as n*o**3 + f*o + d + k*o**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let k(o) = -10479*o**2 + 38*o + 141. Let y be k(-9). What is y rounded to the nearest 10000?\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -181446114 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is -493 times -265.73?\nAnswer: 131004.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (-5 + 402\/30)\/(3\/1210). Calculate the greatest common divisor of m and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-w - w + 7*w + w)*(-3 + 5 + 2).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 162 and 205476588?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: 175037 divided by 9\nAnswer: 175037\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -0.1 in -0.4, 5, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*f - 1 = -5*s + 6*s, -f - 19 = 4*s. Let v = -48451 - -48451.2. What is the third smallest value in 82, s, v?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h be 685\/3 - (-4)\/6. Let x = h - 162. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.00027360346 rounded to six decimal places?\nAnswer: -0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-4*r**4 + 2*r**4 - r**4)*(-247 + 344 - 249) - r**4 + 5*r**4 - 2*r**4.\nAnswer: 458*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Round 29.4144986 to one decimal place.\nAnswer: 29.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*f**2 - f**2 - 3*f**2 + 1)*(-3 + 3 - f).\nAnswer: 4*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the cth term of 139, 549, 1233, 2191?\n\"Answer: 137*c**2 - c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 274959 and 822.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is (-25)\/(-10) - 18\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: -10 divided by 475\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 525 and -90*(-3 - 0 - (-5)\/(-3))?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*x + 5 = 2*v, 3*x = 7*x - v - 4. Suppose 8*t - 3 = 13. Suppose 0 = t*p + p - 15. Put -5, p, x in ascending order.\nAnswer: -5, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -15*m + 9*m + 135834 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1 + 2 + 1)*(-f - 1 + 1)*(42*f - 607 + 607).\nAnswer: -168*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Find t such that 2*t**5\/7 - 256*t**4 + 10704*t**3\/7 - 21380*t**2\/7 + 17806*t\/7 - 5340\/7 = 0.\nAnswer: 1, 3, 890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Solve x**3 + 198220*x**2 + 9822990317*x + 19645187762 = 0.\nAnswer: -99109, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: -664.21 + -6327\nAnswer: -6991.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Is 70981907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 48.1 + -56. Let n = 8 + m. Is -2\/7 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -40 + 43. Suppose 0 = -4*q + 2*t - 7*t + 112, -w*q + 2*t = -61. Put q, 2, -1 in increasing order.\nAnswer: -1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -47\/4 - -12. Let r = -416 + 179. Let x = r - -175. Sort 4, x, g in descending order.\nAnswer: 4, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(b) = 7*b**2. Let x be y(-1). Suppose 98 = 13*j - 19. Suppose 61*h = 58*h + j. Solve 0 = -3*r + k + 5, x*r = h*r + 3*k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*o + 1640 = -4*j, 4*j + o + 1369 = -262. Let i = j + 7735\/19. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) -3 (b) 57 (c) 5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 396 and 12.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 3 + -1. Suppose -2*x - 6 = t, h = -0*t - t - x. Suppose 0 = 3*b - 9 - 6. Calculate the remainder when b is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(c) = -c**2 - 26*c + 26. What is i(-27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*h + 60 = 8*h. Let w(z) = z**3 - 11*z**2 + 14*z - 12. Let n be w(h). What is the highest common divisor of n and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: 52*-2\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -15*w + 27*w**3 - 413*w**2 + 5*w + 420*w**2 wrt w?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -8556*y**2 - 243188*y wrt y?\nAnswer: -17112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of 42, 57, 70, 75, 66?\n\"Answer: -b**3 + 5*b**2 + 7*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 1704 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*j - 5*j + 3*j)*(591*j**2 - 1301*j**2 + 5*j + 1092*j**2 - 5*j).\nAnswer: -764*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (z**(-6)*z)**40 assuming z is positive.\nAnswer: z**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*f = 3*q - 14, 205*q + 2*f + 14 = 203*q. Solve q = -2*i + 3*h - 2, -5*h + 36 = 4*i - h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence gb when two letters picked without replacement from bbggbogbooooo?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 18949?\nAnswer: 7, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let d(k) = k**2 + 58*k - 8356. Determine d(-125).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1, -4, 273, 13703 in decreasing order.\nAnswer: 13703, 273, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*h + 2*u + 71 = 11*h, 19 = h + 2*u. Solve -9*j = -6*j - h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose i - 4*i - 12 = 0. Let v be (0 - i) + (15 - 2). Suppose r + 76 - 280 = -3*k, 5*k + 5*r - 340 = 0. Calculate the greatest common factor of k and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -178, -50, 158, 440, 790, 1202, 1670?\nAnswer: 2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let z(n) = -9*n**2. Let q(o) = o. Give z(q(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 40485580 rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve -18*q - 614 - 441 = -587 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let l(k) = 2*k**3 + 55*k**2 + 38*k + 236. Give l(-27).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*f - 52 = -4*g, 5*f + g - 68 - 62 = 0. Let n be (-2)\/8 - (-1 + 1599\/(-12)). Let d = 235 - n. Calculate the remainder when d is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(n) = -9*n**2 + 106*n - 142. Let t(u) = -17*u**2 + 222*u - 286. Let f(c) = 9*o(c) - 5*t(c). Solve f(s) = 0.\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 2\/(-6) + (-480)\/18. Let l = -22 - y. What is i in -l*i**2 + i + 2*i + 2*i**2 - 6*i + 6 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 1895 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*i - 424 = 2*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 16719 + -16689. Let u be 1 - -1 - 0 - -19. Let n = u + -9. Calculate the greatest common divisor of n and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -65*p - 4*i = -70*p + 3061, 2*p - 4*i - 1222 = 0. Calculate the remainder when p is divided by 198.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(o) = -9*o + 17 + 12*o - 2*o. Let l be w(-15). What is the second derivative of -2*t**l - 4*t + 4*t - 4*t + t wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2024 is divided by 203.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let z(u) be the second derivative of -u**2 + 5\/6*u**3 - 4*u + 0. Suppose 10 = -4*g + 2. Give z(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -76 by 58.\nAnswer: -38\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((t*(t\/(t**3*t))\/t*t*t\/(t\/t**1)*t)\/(t**(-5)*t\/t**(2\/11)))\/(((t**(-2)\/t)\/t*t)**23)**(5\/3) assuming t is positive.\nAnswer: t**(1311\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 1010\/(-202) - 1452\/(-292)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: -244316 (base 11) to base 5\nAnswer: -44330440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*f + 3*f + 8 = 0. Calculate the remainder when 36 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 422 and 15828587?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -56*c**5 - 562*c**4 - 1080*c**3 + 1450*c**2 + 5216*c + 3192 = 0.\nAnswer: -7, -57\/28, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.00000473081674 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 4 - -320?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 67 - 48. Suppose -l = 4*y + 13. Let c be 4 - (y\/(-4) - 3). Let x(h) = 2*h - 2. Determine x(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 65 (base 15) to base 4.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*x**5 - 10*x**4 - 12*x**3 + 8*x**2 + 16*x = 0 for x.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 101839 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-7)\/(21\/78)*8\/(-504)*(-18)\/4.\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4 + 5*(sqrt(1573) + -4) + 2 + -6*(0 + sqrt(1573) + 3) + 4.\nAnswer: -11*sqrt(13) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is 12020431 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 0.2002 + -0.2. What is n rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*f + 568 = 4*w, -3*w - 541 = 4*f + 2*w. Let q = f - -343. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express (-2*o + 4*o + 3 - 1)*(2 - 3*o**3 - 2*o**2 + 2*o**2) in the form u*o**2 + x*o + t + q*o**3 + j*o**4 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -d + o = -4, 4*o - 12 = -4*d - 4. Solve d*c - 5*y = c + 30, 3*c = 2*y + 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {b: 1, w: 3, y: 5, v: 1, d: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 1 - -11. Let x be 0 - -1*3\/d. Which is the third smallest value? (a) -5 (b) x (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 39\/(-3) - (-31 + 12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose r - 25 + 267 = 0. Let f = 377 + r. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 513 and 8037?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -1954172 or -1953926?\nAnswer: -1954172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let k(l) = -2*l - 9. Let y be k(-6). Suppose -y*c + 280 = c. Suppose 5*m - 13*m + 80 = 0. What is the highest common factor of c and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -1286\/3 + 3211\/6. Let j = v - 93. What is the common denominator of j and -14 - 663\/104 - -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 25158*g**2*i**3 + 25037*g**2 + i wrt i.\nAnswer: 75474*g**2*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let x(m) = -14*m - 30. Let v(j) = -5*j - 12. Let t(g) = 11*v(g) - 4*x(g). Give t(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -b + 13*b + 76560 = 0. Round b to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find g such that -2*g**2\/3 + 3756562*g - 56348280 = 0.\nAnswer: 15, 5634828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (-1*23)\/(-1 - -2). Let u be 2\/5*(r - 2). Is u\/4*12\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.00030459095 to five decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: ((3\/27)\/((-10)\/45))\/(1\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let i be 8\/(-10)*((-1270)\/(-110) + -12). Is -0.057 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from aeeefaqeffaff. Give prob of picking 1 e, 2 a, and 1 f.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let h(a) = -2*a - 2. Let f(u) = 0*u**2 + 5 - 5 - u**2. Determine f(h(d)).\nAnswer: -4*d**2 - 8*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 32352493 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -2*-13.834.\nAnswer: 27.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Round 1244.8 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*m - 74 = -4*g, 4*g - m = m + 80. What is the highest common divisor of g and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 2052.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {g: 3, o: 1, a: 2, v: 1, j: 1}. What is prob of sequence agg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 23714*j**4*y**2 - 112*j**3*y**2 + 2710*j**2*y**2 + j**2*y + 8*j**2 + 4*j - y**2 + 4 wrt j.\nAnswer: 569136*j*y**2 - 672*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let n(i) = 3*i**3 + 8*i**2 + 5*i + 1. Let c(m) = 12*m**3 + 33*m**2 + 21*m + 5. Calculate -2*c(y) + 9*n(y).\nAnswer: 3*y**3 + 6*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -9\/53909140 and -53\/10.\nAnswer: 53909140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is -71.3687 times 0.34?\nAnswer: -24.265358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let y(j) = 32*j**2 + 829*j + 79. Calculate y(-26).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of 11037*k**2*l + 4373*k**2 + 2*k*l + k wrt l?\nAnswer: 11037*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 2*j**2*l**4 - 3370*j**2*l**2 - 4*j**2 - 6712*j*l**3 + 347*l**3 + 3069*l wrt l.\nAnswer: 48*j**2*l - 40272*j + 2082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1.7438*-0.2.\nAnswer: -0.34876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Round 43850.8 to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 7142 = 7*i - 4492. Suppose -10*h = -i - 2438. List the prime factors of h.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 323 minutes after 4:14 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -1204495.38499923 - -1204511.885. Let r = 16.5 - s. What is r rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 55*r - 50*r + 53*r + (0 - 3 + 0)*(r + 2*r - r) to s*r + l and give s.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} -{"text":"Question: Simplify -3*(sqrt(108) + -1*(sqrt(108) + sqrt(108)*1) + sqrt(108) + (sqrt(108) - -4*sqrt(108)*-2))\/((sqrt(4) - (sqrt(4) + sqrt(4)*-2)*-6)*-4) + -3.\nAnswer: -3 + 63*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -24898 + 76548. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {h: 5, v: 9, c: 1, j: 4, i: 1}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Solve -37476 - 12236 = -956*m for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Is 28345865 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -18909 = -40*n + 7*n. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 25? (a) -3 (b) -2\/5 (c) -1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 488418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -27\/14896 and 11\/761824.\nAnswer: 5332768","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} -{"text":"Question: Let i(l) = 3*l**2. Let c(f) = 14*f**2 + 2*f + 413. Calculate c(i(h)).\nAnswer: 126*h**4 + 6*h**2 + 413","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 0.3 - 0. Let p = h - 2. Let d = p - -2. Which is the smallest value? (a) 1 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 948 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let o be ((-3)\/9)\/(2\/(-42)). Suppose 5*r + o = -23. Let k be (12\/9)\/((-4)\/r). Let x(f) = 4*f + 1. What is x(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(k) = k**2 + 2*k - 15. Give v(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let p(t) = -12*t. Let j be ((-12)\/8)\/(-3)*4. Let d be j\/9*(-9)\/(-1). Let s(n) = 4 + 2*n**2 - 4 - 4*n**d. What is s(p(u))?\nAnswer: -288*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let y(v) = v + 10. Let b be y(0). Let n be -2 + 14\/b + 1. Let m = 101529\/4 - 25382. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(x) = 12*x + 7. Let t be r(4). Let s be ((-198)\/t)\/((-2)\/10). Let l = 25 + -23. Calculate the greatest common factor of s and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(x) = -x. Suppose 2*z = -4, 390 = -4*c - 4*z - 370. Let m(j) = -8*j + 1. Let b be m(-1). Let g be c\/36 - (-2)\/b. What is y(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 26896204?\nAnswer: 2, 6724051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Round 992570 to the nearest 1000.\nAnswer: 993000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let b(q) = -q**3 - 7*q**2 - 6*q - 7. Let h be b(-5). Let a = 2 - 17. Let f = a - h. Calculate the highest common divisor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(k) = -7*k**2 - 14*k - 16. Let d(s) = 10*s**2 + 21*s + 24. Let x(g) = 5*d(g) + 7*l(g). Suppose -f - 3*f - 28 = 0. Is x(f) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 106 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -649 - -648. What is the closest to x in 0.3, -1\/55, 0.2, -3?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(m) = 15*m + 5. Let y(t) = -t - 1. Let k(d) = f(d) + 6*y(d). Let v = 1 + 0. What is k(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 57644 (c) -1\/2 (d) -2 (e) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 769843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -768819692 or -768819693?\nAnswer: -768819692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 2 + -1. Let q = 18 - 16. Which is bigger: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.23048 rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1613?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Is 37 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 28 and 658.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 875 - 1062. Suppose 2*z - 95 = -2*k - 349, 124 = -k + 2*z. Let v = k - o. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*u + 2*v - 6 = -19, 5*u - 4*v - 21 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is -102440 + -21201?\nAnswer: -124141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: 10 + (-41 - -7) + -8 + (1 - 1) + 2\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (x*x*x*x**2)**7*x**(-3\/14)*x**(7\/3) assuming x is positive.\nAnswer: x**(1559\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 300985515?\nAnswer: 3, 5, 109, 61363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Solve 8 = -60*t + 56*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Expand -c + 3*c - c + (2*c - 5*c + c)*(-5 + 4 - 2).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2 = -d - 4, -5*m = -3*d - 16. Let w(u) = -u**m + 4*u**2 - 5*u**2 + 4*u**2. Let l(b) = 4*b + 2. What is l(w(r))?\nAnswer: 8*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} -{"text":"Question: Simplify 4*(1 + (1*sqrt(162)*1)**2 - (sqrt(162) + 0 - (((1*sqrt(14) - sqrt(14)) + sqrt(14))\/sqrt(7))**2)*-1) + -5.\nAnswer: 36*sqrt(2) + 639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is 2 + -12 - (2 + -3 - -8 - 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -3 divided by 1672087.\nAnswer: -3\/1672087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -96, -174, -252, -330, -408, -486?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Express (-3 - 2*q + 3)*(-3 - 2 - 4)*(2 + 0 - 1) in the form u*q + i and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let o(w) = -125*w**2 + 223*w - 10. Calculate o(2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -5 - ef4?\nAnswer: -ef9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (1\/(-2))\/(-3 - 69\/(-24)). Let v(o) = 3 + 4*o + o - o**2 - o. Give v(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 5748 + 196339.\nAnswer: 202087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose d - 18 = -3. Suppose d*t = 16*t. Solve 4 = -y + 5*b, -y - 4*b - 4 = -t*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 222851 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-29 + 30)*(9 - -2). Let z be 32 - ((-560)\/176 + 2\/o). Sort 2, z, -2, -3 in descending order.\nAnswer: z, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 0.1 - 0.5. Let n(t) = t**3 + t**2 - 1. Let l be n(-2). Let x be -5 - (4 + 20\/l). Which is the biggest value? (a) x (b) -1\/2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -6400 = -14*h + 236. Is 31 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*l**2\/3 + 104278796*l\/3 - 1359258411901202\/3.\nAnswer: -2*(l - 26069699)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1771719708 - -0.35.\nAnswer: 1771719708.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -176985 and -0.24?\nAnswer: 42476.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let c(b) = 29*b**3 + 2209*b**2 + 2549*b - 31. What is c(-75)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((((x*x\/(x*x\/(x**1*x)))\/x)\/(x*x**(-4\/11)*x))\/(x*x**(1\/4))**(9\/7))**1)**(6\/11) assuming x is positive.\nAnswer: x**(-2073\/1694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let w be (((-34)\/(-3))\/2)\/(52\/2028). What is the highest common divisor of w and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -28*z**3 - 7*z**3 - 12*z**3.\nAnswer: -47*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 48*i + 441 = 41*i. Is ((-563556)\/i)\/(8\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {v: 1, l: 3}. Give prob of sequence lvl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {p: 7, e: 3, l: 1, d: 2, u: 7}. What is prob of sequence ulu?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let a(q) be the first derivative of -q**3\/3 + q**2\/2 - q + 2. Let u be a(2). Let r(w) = 4*w + 2. What is r(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out 0.073597 + -186591.7797.\nAnswer: -186591.706103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Round 26514 to the nearest 100.\nAnswer: 26500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve 20*h + 4 + 2 = 23*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Do -0.272 and 50497 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (48\/60)\/((-26)\/130)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -26*o - 16 = 10. Let g(x) = -5*x. Let l be g(-1). Let i = -96 + 671\/7. Which is the closest to o? (a) 0.4 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in -0.02, 6, 24.5, -0.4, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-4*s + 2*s + s)*(2*s - s - 2*s + (2*s - 2*s - 2*s)*(-4 - 1 + 4) - 4*s - 4*s + 0*s - 2*s + 0 + 0).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 22 and 120124?\nAnswer: 1321364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (2\/(-20))\/((-114)\/1140)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 387742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Divide 30 by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Divide -272783 by -4.\nAnswer: 272783\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 24934 is divided by 107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let q(f) = f**3 + 10*f. Let s(d) be the first derivative of 0*d - 3\/2*d**2 + 9. Give -2*q(a) - 7*s(a).\nAnswer: -2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -47*p + 13985 = -11254. What are the prime factors of p?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (2 + -6 - -3) + 20. Let n = q - 10. Let y = n - 6. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of 326.7 and -13.\nAnswer: -4247.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 12 - 7. Let q = l - 3. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((h\/(h**(15\/2)\/h))\/h*h**18)\/(h*h\/(h\/(h\/(h*(((h\/h**(-8\/7)*h)\/h)\/h)\/h*h)*h))*h**(2\/29)) assuming h is positive.\nAnswer: h**(4293\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let v(d) = d + 1. Let x(g) = 9*g + 1. Let l(j) = 2*v(j) + x(j). Let f be l(3). Suppose -3*k = -6*k + f. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(l) = -l**3 - l**2 - l. Let z(h) = 43*h**2 - 46*h**2 + 43*h**2 + 24*h**3 + 7*h - 27*h**3 - 12*h. Determine -5*w(q) + z(q).\nAnswer: 2*q**3 + 45*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let d(f) = f + 13. Calculate d(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 12:37 AM and 11:05 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 2.7 + -2.7. What is the nearest to a in -0.3, 0.5, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(u) = 3*u**2. Let l(k) = -5858*k + 609. Let m(w) = -58*w + 6. Let o(c) = 2*l(c) - 203*m(c). Give o(b(g)).\nAnswer: 174*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Does 57 divide 1248569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Expand -r**4 + r**4 - 3*r**4 - 2*r**4 + 0*r**4 + r**4 + (2*r**3 + 5*r - 5*r)*(0*r + 0*r + r) + 0*r**4 + 0*r**4 + 3*r**4.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 2047637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Factor 14305*s**3 - 2788*s**2 - 52908*s**2 + 940*s**4 + 40447*s**3 + 4*s**5.\nAnswer: 4*s**2*(s - 1)*(s + 118)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1536 is divided by 260?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -3636 - -69069\/19. Let k(h) = -h**2 - 32*h + 227. Let y be k(-38). Which is greater: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 79*b - 39*b + 72*b - 17*b - b**3.\nAnswer: -b**3 + 95*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let v(g) be the first derivative of g**3\/3 - 3*g**2 + 2*g + 1. List the prime factors of v(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 104 - 101. Solve 2*q = -4*n - 10, -l*q - n - 15 = -4*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -0.4 + 0.3. Let y be 0 + 4\/(-6)*-3. Sort 0, y, n.\nAnswer: n, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -30992580*f**4*s**3 + 34496859*s**3 wrt f?\nAnswer: -123970320*f**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*t - 3*t = 4*v - 2656, -3*v - 2*t = -1999. Let k = 2739\/4 - v. Calculate the common denominator of k and -23\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 0 = 15\/71670319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Add 0.309719 and 1093.\nAnswer: 1093.309719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of -81232, -162486, -243730, -324958, -406164, -487342, -568486, -649590?\n\"Answer: w**3 - w**2 - 81258*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 0.03 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of 43717, 43721, 43725, 43729?\n\"Answer: 4*d + 43713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let n(p) = -2*p**2 - p + 8. Let s be n(-6). Let g = -55 - s. Suppose -265 - 341 = -2*o + 2*c, -1515 = -5*o + g*c. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine l, given that -l**4 - 168*l**3 - 167*l**2 = 0.\nAnswer: -167, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Is -378 not equal to -14\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0.31 in -5\/7, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1 = -2*z + 3, 3*x = -z + 31. Suppose x = 4*k - 6, -t = -5*k - 45. Suppose 143 = 11*p - 0*p. Calculate the greatest common divisor of p and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*j - j = -95. Let n = j - 61. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 38.29 + -0.29. Let d = g - 38.37. Let m = d - -0.29. What is the biggest value in m, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1.1? (a) 5 (b) 41663 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let w(o) = -3*o - 4. Suppose 2*r + 21 - 63 = 0. Calculate the remainder when r is divided by w(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 5 + (-20)\/8 + 1\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Is 27241897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 1288.412ug in grams?\nAnswer: 0.001288412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: (-198)\/(-42) + (-23)\/(-7) + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(j) = -5394*j + 43144. Determine b(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 4245\/566 + 814\/(-108).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 25 + -23.4. Is 0.1 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*g + g + 2*l - 486, 5*l = 5*g - 615. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 8*m**3 - 4*m**3 - 20*m**3 - 9*m**3.\nAnswer: -25*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 10\/(-15)*(-1)\/(1\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 166, 193, 210, 211, 190, 141, 58?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Determine g so that g**3\/11 - 2188*g**2\/11 + 1209856*g\/11 - 14204928\/11 = 0.\nAnswer: 12, 1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is 34401 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let z(k) = 2*k**3 - 5*k + 6. Let m be z(1). Suppose -m*f - f = -4752. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c be ((-309)\/(-1))\/(7\/((-140)\/(-15))). Is c smaller than 410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*o**4 - 3*o**4 + 2*o**4)*(22*o + 5 + 9 - 13).\nAnswer: -22*o**5 - o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -2 - -3 - (88 + 20 + -89).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 203346 divided by -143?\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Factor 5*l**2 + 17\/3 + 1\/3*l**3 - 11*l.\nAnswer: (l - 1)**2*(l + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*r = 4*j + 42, 4*j = -2*r + 3*j + 17. Let g = r + -8. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 21 a factor of 50895264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*s = 5*s - 10. Suppose -k + 0 = s. What are the prime factors of (-6)\/((k - -1) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Total of -48288431 and 0.5.\nAnswer: -48288430.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -49 - -52. Suppose -n + 19 = d, -7 = -q*d + 8. What is the remainder when 123 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (h**(-3)\/(h\/h**(1\/2)))\/(h**(-1))**(-20\/9)*((h\/(h**(2\/5)\/h))\/h)**9*h\/(h*h\/h**(-6))*h*h*h\/((h**(-3)*h)\/h)*h assuming h is positive.\nAnswer: h**(-29\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (140\/30)\/1*12\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is -2136 + 173?\nAnswer: -1853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is l in l**4\/3 - 589*l**3\/3 - 6037*l**2\/3 + 27649*l\/3 + 100632 = 0?\nAnswer: -9, -8, 7, 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Determine b, given that -2*b**3 - 11724*b**2 - 58578*b - 46856 = 0.\nAnswer: -5857, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {b: 3, g: 5, y: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -2.706 + 0.006. Let m = -2.6 - j. Let y = 0.3 + -1.5. Which is the closest to m? (a) y (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in -1\/3, 4, 0, 1\/3, 4\/7, -4142, -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 9*b = 15 - 51 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -d + 5*p - 3*p, 5*d - 4*p - 6 = 0. Let n be (-2 - (d + -3)) + -2. Let s be n\/(-1)*3\/15*5. Solve 2*g - s = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -0.1 in 3.6, 2053, -2\/7, 1\/4, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 222 - 114. Let w = 291.44 + -180.6. Let m = w - h. Round m to 1 dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Express (-3*m**2 - m**2 + 3*m**2)*(49*m - 57 + 57) + 15*m**3 - 11*m + 11*m in the form f*m**2 + z + n*m + o*m**3 and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let h be -1*(-8)\/(0 - -4). Suppose -2*l + 169 = 3*m, l + l = h*m - 126. Let r = -79 + 100. Calculate the remainder when m is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -2\/9 (c) -0.5 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 1577\/11622 + 60\/1937. Which is the second biggest value? (a) o (b) 2\/13 (c) 19 (d) 3 (e) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 37493, 38024, 38591, 39188, 39809, 40448?\nAnswer: 41099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 19 and 143545.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let h(g) = -g**3 - 15*g**2 - g - 9. Let v be h(-15). Calculate the remainder when 108 is divided by (-6)\/3*(9\/v)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is -1b1b + -128?\nAnswer: -1c46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*j + 1 = -k + 13, 0 = k - j + 8. Let o be 132*1 + (-5 - k). Suppose -6*d + 1135 = -o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: -31 (base 6) to base 11\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 1*-12*19\/684*117?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 29322 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from mmmllmllmlllm. What is prob of picking 1 m and 3 l?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -168 + 274*p**3 + 19 - 56.\nAnswer: 274*p**3 - 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 55438513?\nAnswer: 13, 17, 250853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 2 + 6 + -8 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(v) = -v**2 - v + 1. Let l be (-113 - -114)\/(2\/(-10) - 0). Let g(h) = -h**2 - 20*h - 75. Let f be g(l). Determine r(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify w**(1\/6)\/(w*w**(-2\/5))*(w**(2\/3)\/w*w)\/w*w*w*w*w*w**5 assuming w is positive.\nAnswer: w**(247\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 10 - 2\/(-48)*61\/((-1464)\/5776).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(t) = -674*t + 7. Let i be w(-6). Suppose 16*v = i + 3421. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: -1001010120002 (base 3) to base 15\nAnswer: -ae0e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let w(a) be the second derivative of a**4\/78 + 106*a**3\/13 + 25281*a**2\/13 + 80*a - 3. Solve w(h) = 0.\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -3 - ((4 - 3) + -3 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -1\/89 in 4, 185, 2, -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-33)\/66)\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 13845.4 - 0.5\nAnswer: 13844.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let z(s) be the first derivative of -2*s**3\/3 - 3. Suppose -3*a + 2 = -a. Let p(n) = 4*n**2. Let l(o) = o**2. Let t(d) = a*p(d) - 3*l(d). What is t(z(k))?\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let b(v) be the third derivative of -19*v**5\/60 - v**3\/6 - 36*v**2 + 2. Let x(m) = 14955 - 14955 - 3*m. Calculate b(x(n)).\nAnswer: -171*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 4.44 - 4.04. What is the third biggest value in w, -2, -0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(p) = p**3 + 15*p**2 + 35*p - 3. Let m be a(-12). Suppose m*d = 4*d - q + 24, 4*d - 4 = 3*q. Solve -d*n - 2*y = 18, 5*y = 6*n - 2*n - 17 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 78579197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let b(o) = -608*o - 32021. What is b(-61)?\nAnswer: 5067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 7.0727 + -0.0727. What is the closest to 1 in -2, k, -1\/2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 440 + 1739. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in -4, 1, 103?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let r(v) be the second derivative of 0 + 5\/2*v**2 - 2\/3*v**3 + v + v**4. Is r(3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from wuhhkaukkk?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let x(d) = 111*d - 1658. Calculate x(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 o and 1 d when three letters picked without replacement from odoyyoo?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*g + 1 = 5*x - 4, -4*x = 3*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 3? (a) -5\/2 (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let j(u) = -3*u - 2*u - 3*u. Let p(n) = 55*n**2. Let g(r) = 1362*r**2. Let t(k) = -16*g(k) + 396*p(k). Determine j(t(o)).\nAnswer: 96*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:49 PM and 11:26 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Express 72*s**2 - 17 + 21 - 6*s**4 + 75*s**2 - 7*s**3 - 149*s**2 + 0*s**4 as k*s + t*s**4 + h*s**3 + p*s**2 + v and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let a(g) = -4 + 3 - 3*g + 0. Let n be a(2). Let k be 4\/n*(-6)\/(-12). What is the nearest to 0 in k, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 27 + (-11 + -3 - -13) - 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:03 PM and 9:23 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -11931 + 12331. What is the smallest value in -2\/5, 6, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (2*c - c + 0*c)*(2 + 1 - 5)*(2*c**2 + 4*c**3 - 2*c**2) to k + h*c**3 + f*c**2 + r*c + d*c**4 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (-7)\/3 + 1\/3. Let j be (f - -2) + 32\/(-8). Let s be (2\/(-7))\/(7\/(63\/6)). Put s, j, 0 in decreasing order.\nAnswer: 0, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from zjlzzllwjjl. What is prob of picking 1 l and 3 z?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let n be (-2 + 8)\/2 - 2. Suppose -l + 20 = 3*l. Suppose -3*g - 25 = 5*w, 0 = g + g. Put l, w, n in descending order.\nAnswer: l, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(d) = -9*d**2 + d + 1. Let v = -48 - -48. Let f(t) = t**3 + 2*t - 1. Let j be f(v). Let y be j - -2*(-1 + 2) - 2. Determine a(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -1060 by -212.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: 0.019 * -0.06\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let q(g) be the third derivative of -5\/24*g**4 + 0*g**3 - g**2 - 1\/20*g**5 + 0 + 0*g. What is the second derivative of q(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 186*b + 44*b - 5916 = 56*b for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {k: 1, x: 1, g: 1, y: 2, w: 2, e: 1}. What is prob of sequence wxy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let w(q) be the third derivative of q**7\/2520 - q**6\/72 + 21*q**3\/2 - 47*q**2. Let x(p) be the first derivative of w(p). Factor x(z).\nAnswer: z**2*(z - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -q - 4*q + 129 = -4*r, 3 = -3*r. Suppose q*s = 21*s + 624. List the prime factors of s.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -2*x**4 + 267*x**3 + 591 wrt x.\nAnswer: -8*x**3 + 801*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 23509 is divided by 23473.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let w(d) be the first derivative of d**4 + 2*d**3\/3 - d**2\/2 - 1. Let q be ((12\/(-4))\/(-1))\/3. What is w(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 75*f = 80*f + 16*o + 41 - 296, 31*f = o + 78 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is -5 + -291?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is -0.022 less than 543407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Convert 74145.64ml to litres.\nAnswer: 74.14564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 14 = 18*f - 16*f. Calculate the remainder when (-1)\/(-2) + (-35)\/(-2) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(l) = 1493*l**2 - l - 3238. Let y(u) = 4501*u**2 - 3*u - 9714. Let v(r) = -17*n(r) + 6*y(r). Differentiate v(s) wrt s.\nAnswer: 3250*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 36? (a) 5 (b) -0.7 (c) 42.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the millions digit of 98568357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -519*l**2 + 7247*l wrt l?\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let q(i) = 13*i. Let k(j) = -j - 23. Give k(q(y)).\nAnswer: -13*y - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Factor 714\/5*h + 3\/5*h**2 + 42483\/5.\nAnswer: 3*(h + 119)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -921da - -4?\nAnswer: -921d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {o: 1, l: 17}. Give prob of picking 2 l and 1 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let j(d) = -d**2 + 2. Let r be j(-2). Let y be r\/3*(0 - 3). Let f be ((-660)\/11)\/(-12) + 18\/(-2). Which is the second smallest value? (a) f (b) -3\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 609631819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 4509342435 to the nearest integer?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 9\/2 + (-3)\/(-6). Suppose 0 = -x*s - y + 1020, 5*s - 4*y - 766 - 279 = 0. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 12:53 PM and 7:39 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 55189.5042 rounded to the nearest 100?\nAnswer: 55200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -415, -420, -425, -430, -435, -440?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((t*(t*t\/(t*t*((t\/(t\/(t*t\/(t*t**5*t)))*t)\/t)\/t*t))\/t*t*t**(-2\/9)*t)**(-2\/135))**2 assuming t is positive.\nAnswer: t**(-244\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -19 + 17. Let q be -5*5\/((-25)\/66). Let v be (-34)\/q + (-1)\/(-3). Which is the nearest to j? (a) v (b) -3\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(l) = 2*l**2 + 6*l + 2. Let x be m(-5). Which is the fourth smallest value? (a) -0.3 (b) x (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 60, 498, 1684, 3990, 7788, 13450, 21348, 31854?\nAnswer: 45340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-5*u**2 - 2*u**2 + 2*u**2)*(-2*u + u + 3*u) + (8 + 5*u - 8)*(-4*u**2 + u**2 + 6*u**2).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is 4 + 20012?\nAnswer: 20016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*z - 102*y + 105*y - 1129, -4*y = 3*z - 673. What is the remainder when z is divided by 73?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-12*28\/462)\/(-8)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 14 - 12. Let i be (o\/(-15))\/((-54)\/45). What is the third biggest value in i, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -43\/4 and -7\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -356149\/3 + 477951691\/4026. Calculate the common denominator of -93\/16 and m.\nAnswer: 10736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -187 - -231.8. Round o to the nearest integer.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 60 - (10\/25 - (-66)\/(-15)). Suppose h = l + 453. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (1 - 3)*1 - -4. Let t(n) = -3*n + 10. What is the lowest common multiple of t(j) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is -113231 - -5?\nAnswer: -113225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 145\/264 and 27\/352.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*b + 4*i - 1916 = 0, -5*b - 15*i + 16*i + 2425 = 0. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many grams are there in 0.263143t?\nAnswer: 263143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let n(l) = -2*l - 67. Calculate n(-11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: -1 - 297\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 17c6a12a0 - 1?\nAnswer: 17c6a129c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: -3 + 6 + (-1 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 7, e: 12}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.3 * 0.11136.\nAnswer: -0.033408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 1.42 + -1.42. Let u = -50 + y. Let h = 49.5 + u. What is the third biggest value in 2\/17, 4.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -37 + 16. Let o = 34 + u. Solve -4*a + 2*a + p = -8, -a = 4*p - o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Let b(f) = -f**3 + 70*f**2 + 4*f - 153. Does 148 divide b(69)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-184)\/(-16)*12\/69?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: 0.8 times -0.20841\nAnswer: -0.166728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose u - 9 = -r + 5, -5*r = -3*u + 2. Solve -w - 4 = -u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 9 + 14833*w + 15302*w - 9 - 28069*w.\nAnswer: 2066*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-693)\/(-45))\/((-1166)\/(-265))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ijiijiij?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((y\/y**(-5))\/y*y)**(22\/9)*(y**15\/y)\/y*y\/(y*y*y**(-4\/5)*y) assuming y is positive.\nAnswer: y**(397\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let k(s) = 4544*s**3 + 7*s**2 - 37*s + 66. Let o be k(2). Calculate the greatest common divisor of o and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -18*j - 12 = -20*j. Suppose 10 = -3*t + k, 4*k - k = 5*t + 10. What is the tens digit of (-1032)\/t + -1 + j\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1 + 13*i + 4 - 5.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 0.49 + 3.71. Let r = -7.4 - -11.5. Let i = r - s. Does -30 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is 4 - 38840825?\nAnswer: -38840821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 180315040?\nAnswer: 2, 5, 29, 38861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -101 or 88040?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:52 PM and 6:52 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in 0.5, -2, 4, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (o**(2\/9))**(-12) assuming o is positive.\nAnswer: o**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 30\/(-24) + 756\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from qqthtqhtt. What is prob of picking 3 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 553.4118 micrograms in milligrams?\nAnswer: 0.5534118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {g: 1, b: 1, d: 1, e: 4, s: 4, p: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 17210371757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 26606 is divided by 4431.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Convert 593957a (base 11) to base 3.\nAnswer: 201111112112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 2\/3 in 0.1, 4, -22, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let b(q) = -q**3 - 5*q**2 - 5*q - 19. Let w(f) = -2*f**2 - 2*f - 10. Let t(m) = 4*b(m) - 10*w(m). Let h(y) be the first derivative of t(y). Calculate h(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 263501.775 rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is 9962709.3 rounded to the nearest 1000?\nAnswer: 9963000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 10 and 7888.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 5 + -1. Suppose u - 3*u = n - 11, -24 = -v*u - 4*n. Solve -3*w = -u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 285079706?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -1\/50994980 and -11\/8706460.\nAnswer: 356964860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2231522?\nAnswer: 2, 17, 65633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Is -4187 at most -4190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 1*2*(-4 + 3*sqrt(13)) - (sqrt(624)\/(sqrt(108) + sqrt(12)))\/((sqrt(80)\/sqrt(4))\/sqrt(5) + sqrt(4)).\nAnswer: -8 + 47*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: -5609c1 (base 13) to base 3\nAnswer: -10211002222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let u(h) = -7*h**2 - 2*h. Let p(m) = -36759*m. What is u(p(q))?\nAnswer: -9458568567*q**2 + 73518*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(272) - sqrt(272)*1)*-3 + sqrt(272))**2 + 5*(sqrt(17) - 4*sqrt(612)) + 0.\nAnswer: -115*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*f + 7*f + 3*v = 10, 5*v + 50 = 5*f. Suppose 0 = 2*l + 3*h - 9, 0 = -f*l + 4*h - 23 - 12. What is the second biggest value in 0.4, l, 0.3, -0.14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(g) be the third derivative of 2*g**2 + 1\/24*g**4 + 1\/120*g**6 + 0 + 0*g**5 + 0*g + 0*g**3. What is the second derivative of b(z) wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 84*u - 40956 = 72*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(q) be the third derivative of q**6\/60 - q**5\/10 + q**4\/6 - 10*q**2. Factor j(g).\nAnswer: 2*g*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 59459233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -29\/129 and 131\/6?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let c(a) = 33*a**2 - 47*a + 206. What is the hundreds digit of c(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of 14184, 14234, 14316, 14430, 14576, 14754?\n\"Answer: 16*h**2 + 2*h + 14166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 13351?\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 83*o - 1 - 36*o + 1 + 2*o**3 + 38*o - o**2 + 84*o**4 wrt o?\nAnswer: 2016*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -0.4, 4.993, 3\/7, -0.5, 0.5 in decreasing order.\nAnswer: 4.993, 0.5, 3\/7, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 44382886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*z - 10 = 10 - 5, 4*w - 100 - 101 = 2*z - 211 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Sort -15999, -13, 71 in descending order.\nAnswer: 71, -13, -15999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from {p: 1, b: 2, c: 8, y: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Expand 0*m**5 + 19*m**5 + m**5 + (0*m + 3*m - 2*m)*(4*m**3 - 4*m**3 + m**3)*(0*m - m + 0*m).\nAnswer: 19*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: How many litres are there in 17.59689 millilitres?\nAnswer: 0.01759689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1042966.\nAnswer: 2, 521483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 4745\/5694*(-12)\/(-25)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 46529 - 20878. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 6 minutes before 5:42 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Express -4 - 16325*r + 38359*r - 19487*r as s + g*r and give g.\nAnswer: 2547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 9 minutes after 6:51 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -3 - -2. Calculate the remainder when (22\/4)\/(s\/(-6)) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {c: 1, l: 1, v: 1, t: 2, d: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve -28 - 13 = -3*w - 20 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let y(d) = d**3 + d**2 - d. Let c(v) = -279*v**3 - 62*v**2 + 62*v. What is c(o) + 62*y(o)?\nAnswer: -217*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let j(k) = 50*k**3 + 13*k**2 - 26*k + 11. Calculate j(2).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 3584512 - 3584512 - s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is 9367277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 458 minutes after 9:06 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*x + 22 = 4*c, 2*c + 8 = -4*x - 2*c. Let a = x + 11. What is the highest common divisor of a and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 189503826 to the nearest integer?\nAnswer: 13766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 5176193 + -38?\nAnswer: 5176155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(1280) - sqrt(20)) + 2.\nAnswer: 2 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -24 + 47. Let z = -6 - -12. What is the remainder when h is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of 77, 161, 249, 347, 461, 597?\n\"Answer: i**3 - 4*i**2 + 89*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3 = 5*i - 48. What is the lowest common multiple of 33 and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express (11*n**3 + 7*n - 7*n + 2*n)*(-182*n - 90*n + 32*n) as i*n**3 + a + u*n + d*n**4 + c*n**2 and give d.\nAnswer: -2640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let h(k) = -109 - 14*k + 52 - k - k**2 + 2*k**2 + 75. What is h(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1099 a factor of 83129459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {g: 2, r: 1, a: 1, b: 3, s: 3, i: 2}. Give prob of picking 1 g, 1 a, and 1 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 6 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Put 1, 4, 0.2, 10.193, -0.4, 2 in ascending order.\nAnswer: -0.4, 0.2, 1, 2, 4, 10.193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -3*c - v - 4*v + 219, 0 = -4*c - 2*v + 306. Let p = -56 + c. Solve 0 = -5*q - 4*j - 28, -3*j - p = 3*q + 2*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(r) = r**3 - 67*r**2 - 177*r - 2595. What is x(70)?\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Do -63 and -4151\/66 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is (2\/(-12))\/((-88)\/(-198))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(y) = y**2 - 30*y - 186. Let i be v(35). Is i >= -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (1\/(-126))\/(30\/(-12)). Let x(p) be the third derivative of 0*p + 0 + 1\/30*p**5 - 1\/36*p**4 + t*p**7 - 1\/60*p**6 + 0*p**3 - 5*p**2. Factor x(d).\nAnswer: 2*d*(d - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*f = -21 + 1. Suppose f = -3*v + 1. Is -1\/5 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -10.345 - 2.52.\nAnswer: -12.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let 6*p**3\/7 - 3244*p**2\/7 + 2160*p\/7 = 0. Calculate p.\nAnswer: 0, 2\/3, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 135 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 158 times 15709?\nAnswer: 2482022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from gblgzlzldbzllelll.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 11\/6? (a) -1\/4 (b) 5\/2 (c) -24\/5 (d) 5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 987497?\nAnswer: 7, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -3 and 1246\/180 - (-2)\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*d - 3 + 7. What is the units digit of 27\/3 - d\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be (-9)\/(0 - (-9)\/(-6)). Let l(w) = -3 + 5*w + z - 1. Let q(r) be the third derivative of 3*r**4\/8 + r**3\/2 + 567*r**2. Give 7*l(t) - 4*q(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 496569 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Put -5, -3, -32, -2, 4 in descending order.\nAnswer: 4, -2, -3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 100.2 (c) -5\/2 (d) -0.1 (e) 80 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 19\/4 of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: How many nanoseconds are there in 4.42813 milliseconds?\nAnswer: 4428130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is -7*(-46)\/(11*112\/176)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*p = w - 25, 28 - 84 = -4*w + 5*p. Solve 5*i = w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is thirty-three fifths of a week in minutes?\nAnswer: 66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Put -5, -2105, -4, -6, -11, -3 in decreasing order.\nAnswer: -3, -4, -5, -6, -11, -2105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: How many months are there in 13\/4 of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 1393780167 to the power of 1\/2, to the nearest integer?\nAnswer: 37333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is eight fifteenths of a hour in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 376429 is divided by 1037.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 408 minutes after 4:51 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*a - 2*k + 4*k - 72 = 0, -4*k - 116 = -5*a. Let n = a + -30. Let g be 30\/250*n\/(-2). Sort 2\/11, -1, g in increasing order.\nAnswer: -1, 2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1071391448?\nAnswer: 2, 133923931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Work out 16 * -0.05738151.\nAnswer: -0.91810416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let x(h) be the third derivative of -33*h**6\/40 - 95*h**3\/6 - 68*h**2. Differentiate x(d) wrt d.\nAnswer: -297*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: -9 + (-3 - (3 - 19)) - -14\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (8\/70)\/(21\/(-5) + 4).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((y**11*y)\/(y**(-2\/45)*y))\/(y**(-1\/16)*y\/(y**(-13)\/y)) assuming y is positive.\nAnswer: y**(-2803\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 132 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*a - b + 16 = 88, -5*a = -3*b - 76. Let v = 17 - a. Solve 3*y = -i + v, 5*y - 13 + 0 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (54\/(-12))\/(51\/(-34))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 119\/138 + -2\/69. Let w(u) be the third derivative of 1\/12*u**4 - u**2 + 0*u - y*u**3 + 0. What is the derivative of w(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 19 (b) -78 (c) 2\/11 (d) 2\/1021\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Sort -3, -2, 2, 42148592 in decreasing order.\nAnswer: 42148592, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let v(j) = 2*j**2 - 19*j + 17. Let u be v(8). Let n be 2\/u - (312\/(-308))\/1. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 2*z**4 - z**4 - 7*z**4 + (-z - 4*z + 4*z)*(-2*z + 2*z + 2*z**3) as j*z + q*z**4 + c*z**2 + i*z**3 + d and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 19157 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let r(m) be the third derivative of -m**3 + 0 - 48*m + 2*m**2 + 1\/60*m**5 - 1\/12*m**4. Give r(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1\/2, -52, 2 in ascending order.\nAnswer: -52, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: -11 - (-23 + 4 + 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {m: 3, a: 4}. Give prob of sequence aaaa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -u + 5*x + 25 = 0, x = 5*u - 0*u - 5. Suppose u = -5*o + 4*o + 4. Let b(v) = o - 4 - 2*v. Let t(p) = -3*p. Determine t(b(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (0 + 40)*(9 - 2 - -3). Let q = i + -224. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 127313?\nAnswer: 17, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 318?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Subtract -0.098 from 4.\nAnswer: 4.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 1001110010010010 (base 2) in base 6?\nAnswer: 505322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 3*-1*(3 - 10) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -2.057 to 2 dps.\nAnswer: -2.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: (-13 + (-253)\/(-22))\/(-18)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of 6029427*s + 1616492 wrt s?\nAnswer: 6029427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 229107.\nAnswer: 3, 76369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the nth term of 2900, 4976, 7052, 9128, 11204?\n\"Answer: 2076*n + 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 10:20 AM and 5:28 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is -4.231 rounded to one decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {y: 4, s: 3}. Give prob of sequence syss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let j(n) be the second derivative of -n**6\/6 - 137*n**5\/2 + 1375*n**4\/12 + 2*n + 3014. Factor j(x).\nAnswer: -5*x**2*(x - 1)*(x + 275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(t) = -t**2 - 4. Let m = 3 + -3. Let l be u(m). List the prime factors of (1 - 13)*3\/l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -85844 divided by -1224.\nAnswer: 21461\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: -43799 divided by -1338\nAnswer: 43799\/1338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is 22818540707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*t**2 - 4*t = 0. Calculate t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (3*sqrt(70)*1)\/(sqrt(90) - (sqrt(90) - -3*sqrt(90))).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 15602063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 8:05 AM and 5:57 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (d**(-1\/15))**(1\/7)*(d*(d*d*d*d*d**(-16))\/d)\/d**(14\/11) assuming d is positive.\nAnswer: d**(-15341\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.165848 times 10?\nAnswer: 1.65848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose k + 0*k = 13. Which is bigger: k or 12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(y) = -3*y + 4. Let t(w) = 1. Let b(n) = -j(n) + 3*t(n). Let g(q) = -q**3 + 3*q**2 + q + 2. Let f be g(3). Let p(z) = -4*z + 2. What is f*b(k) + 4*p(k)?\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -764.9 - -732. Let q = 33 + y. Suppose -5*p + 717 = 727. Which is the closest to q? (a) 1 (b) 6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 12 a factor of 71202474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 91449863 is divided by 668?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let f(l) = l**2 - 5904*l + 88323. Give f(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Are -1830 and -4998 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -1724 - -1783. Calculate the greatest common factor of 944 and p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 308450\/90 + (-2)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 2*n**4 + 817*n**2 - 2*n + 144?\nAnswer: 24*n**2 + 1634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 830 + -5837\/7. Let c = -53\/21 - q. Let v = -1.5 + 1. What is the smallest value in v, c, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 1422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Product of -2735886 and -5.\nAnswer: 13679430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence udd when three letters picked without replacement from urrurryrdudruryrd?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 12*n = 16*n - 280. Let c = -67 + n. Sort -1, -2, c in decreasing order.\nAnswer: c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {d: 1, f: 1, x: 3, z: 3, s: 1, e: 2}. Give prob of picking 1 x and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 656098907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let f(h) = h**3 - 2*h**2 + h + 6. Let r be f(3). Suppose r*s - 16*s - 860 = 0. Let q = -224 + s. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((sqrt(96) + sqrt(96)*1)*5)\/(sqrt(108)\/(sqrt(36)\/sqrt(4))))\/((1*(sqrt(196)*1 + sqrt(196)) + sqrt(196) + sqrt(196) - sqrt(196))*5).\nAnswer: 2*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((0 + sqrt(242))*-1)**2 + 3.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is 668713229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 42 and 1211.\nAnswer: 7266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 147 = 6*w - 69. Let i(s) = 2*s**2 - 2. Let g be i(-2). Calculate the greatest common divisor of g and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -1 or 202.17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (-10)\/20 - 9\/(-2). Suppose -3*g - 6 = 0, 2782 = u*k + 5*g - 2*g. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(u) = -19851*u + 99257. Calculate j(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let r(w) = -6*w**3 + w**2 - 4*w + 3. Suppose -28*s + 2 = -32*s - 5*k, -2*k - 8 = -2*s. What is r(s)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (108\/(-480))\/(3\/(-4)). Let f(b) be the second derivative of -r*b**5 - 5\/3*b**3 - 7\/6*b**4 - 3*b + 0 - b**2. Factor f(j).\nAnswer: -2*(j + 1)**2*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -189*k - 181*k - 189*k + 725*k - 163*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 56939620?\nAnswer: 2, 5, 2846981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -422, -411, -396, -377, -354, -327, -296?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 1047 - 1699. Let p = -4001\/6 - t. Find the common denominator of p and (-381)\/(-15)*(-5)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.00002755 to 6 decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 12*a + 643 - 2107 = 0. Find the second derivative of x**4 + 183*x + x**4 + a*x**3 - 283*x**3 wrt x.\nAnswer: 24*x**2 - 966*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of 2760155, 2760174, 2760193, 2760212, 2760231, 2760250?\n\"Answer: 19*d + 2760136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 5 - 14167543360*k**2 - 5 + 14167543335*k**2.\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve u = 12*c - 10*c + 7, -2*c - 8 = -2*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -o + 19*o. Solve 0 = -t + 2 - o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 2891 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((q\/(q**(-7)\/q*q))\/(q\/(q\/((q*q*q**8)\/q))))\/(q*q\/(q*q\/q**(-2)))**36 assuming q is positive.\nAnswer: q**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 12 - -9. Let m = -21.1 + k. Let j = -5 - -10. What is the nearest to m in -2\/5, -5, j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -4*((-1*sqrt(931))**2 + 2 - (2 + -1 + sqrt(931))).\nAnswer: -3728 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 10 + -8. Solve -y*p + 5 = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(g) be the second derivative of g**5\/30 - 10*g**2 - 15*g. Let a(f) be the first derivative of k(f). Let p(m) = -m. Determine p(a(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 73176 = -27*x + 19*x. What are the prime factors of (-54)\/99 - x\/11?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(w) be the third derivative of -w**8\/112 - 29*w**7\/210 - 7*w**6\/20 - 4*w**5\/15 + 335*w**2. Solve k(o) = 0.\nAnswer: -8, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 122796, 245511, 368158, 490737?\nAnswer: 613248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 75\/35 - 6\/42. Suppose 0 = -p - 2*a + 189, 2*a = p + g*p - 575. What is the remainder when p is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -174453 by -2.\nAnswer: 174453\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve 111*g = 4641 - 3698 + 2165 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 40 = -5*x + 5*d, -136 + 135 = 2*x + d. Suppose 3*m + 3*y = -4 + 25, -3*y + 9 = 0. Put -1, 3, m, x in increasing order.\nAnswer: x, -1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -925 - -930. Solve -u*l = -3*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(f) = f + 3. Let g(v) = v**2 + 6*v + 10. Let y be -1*(-20)\/(-1 - 3). Calculate the least common multiple of c(7) and g(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -3\/4 in -6, -14, -9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 5839 is divided by 1162?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 840 and 3360?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Solve -83*m = 4*d + 75*m - 171*m + 304, 4*d + 0*d - 4*m = -88 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*u + 16 = 0, 2*f + 8 = -5*u - 4. Let l be (-12)\/(-8)*5\/(-15)*-18. Let i be ((-32)\/10 - -2)\/(l\/(-30)). Solve p + i = 2*b + 6, 5*b - 8 = -f*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 2.7 - -0.3. Let g = j + -3. Suppose -2*x - 11 + 1 = 0. What is the closest to g in x, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is 1 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (-60)\/(-7) + (-4)\/7. Suppose -g*v + 15 = -3*v. What is w in 3*w**4 - 3*w**4 + 0*w**5 - 3*w**4 + v*w**5 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 21571404461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 2 + (7 - 5) + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 1747401077 to the power of 1\/2, to the nearest integer?\nAnswer: 41802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -28 + 39. What is the remainder when 16 is divided by (-3)\/((-3)\/(-2 + r))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: 49 + 6036965\/(-122980) + 2\/104\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 36 = -3*o - 33*q + 36*q, 12 = -o + 4*q for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Which is the sixth smallest value? (a) -2\/3 (b) 1\/3 (c) 4 (d) -0.58 (e) -6 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -25 + (-48 + 109 - (9 - -10)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 2102200 (base 3) in base 12?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 1.2275 or 2\/7?\nAnswer: 1.2275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 1193 - 5908\/5. Let j = 8135 - 780839\/96. Calculate the common denominator of j and n.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 25712345 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Round -3047 to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let g(q) = 1199*q**2 - 3*q + 9. Let f(s) = 173855*s**2 - 436*s + 1308. Give -3*f(y) + 436*g(y).\nAnswer: 1199*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 17917 is divided by 1612.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Express -r**4 - 3 + 3 + (-1 - 2 + 5)*(2*r**4 + 0*r**4 - r**4) + 291*r**4 + 28*r**4 + 9*r**4 - 24*r**4 as p*r**4 + j + t*r**2 + v*r + d*r**3 and give p.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 9957 less than -35276.22?\nAnswer: -45233.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: How many months are there in 53801.27 years?\nAnswer: 645615.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when (-16)\/40 + (-524)\/(-10) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 0 + (((sqrt(2450) - sqrt(2450)*-4)*1)\/(sqrt(20)\/((sqrt(4) + sqrt(100))\/sqrt(2))))**2.\nAnswer: 220500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(180)*2 - sqrt(180))**2 + sqrt(180)\/sqrt(4).\nAnswer: 3*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 1555*q**5 - 1039*q wrt q?\nAnswer: 31100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 12433?\nAnswer: 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (-3)\/((-3)\/2) - -3. Suppose 3*a - 4 = -1, 11 = 3*s + f*a. Let r(x) = 8 - 8 + x**s. Let o(w) = 3*w. Determine o(r(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 23028.\nAnswer: 2, 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Total of 40961.11 and 1.\nAnswer: 40962.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 14c + -342?\nAnswer: -1f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: -503045 (base 6) to base 8\nAnswer: -115205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the pth term of 11284, 16054, 20818, 25570, 30304, 35014, 39694, 44338?\n\"Answer: -p**3 + 3*p**2 + 4768*p + 6514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 292 a factor of 360910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(15) - -4*-2*sqrt(15) - 6*sqrt(45)\/sqrt(3))\/(4*sqrt(12) + (sqrt(432) - (1*sqrt(432) + sqrt(432)))) + 2.\nAnswer: 2 + 13*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 43 - 54. Which is the nearest to -1\/3? (a) m (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the seventh smallest value in 0.5, -4, 124, -2, 1\/6, -2\/13, 371\/4?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Factor -c**4\/3 - 36868*c**3\/3 - 339849221*c**2\/3 - 679550978*c\/3.\nAnswer: -c*(c + 2)*(c + 18433)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -47\/24 and -7\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let b(f) = -f**3 - 22*f**2 - 22*f + 5. Let n be b(-21). Calculate the greatest common factor of 91 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 22 - (22 + 18 + (-12 - 8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 10\/57 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -40 = -5*z - 0. Suppose -10 = -z*c + 3*c. Solve 0*x = -c*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 0.8 + -1. Let d = 8857 + -8852. Which is the nearest to 0? (a) u (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 203 minutes before 11:53 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 144515815 to the nearest integer?\nAnswer: 12021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 3034119 - 339.618.\nAnswer: 3033779.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is -330.601 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Does 6 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*h - 3*x - 90 = 0, 2*x + 130 = -4*h + 3*x. Let a = -12 - h. Suppose 12*k - 84 = -2*k. Solve -k*b + b = -a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 1 + -1 + (-42)\/(-2). Let l(t) = 4*t**2 - 5*t - 6. Let u be l(-6). What is the highest common factor of m and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(i) = 4*i**2 + 6*i + 9. Suppose -5*z = -4*z - 9. Suppose 0 = -5*s - z - 21. Let c be r(s). What is the greatest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*p - 2*s = -48, 0 = 7*s - 3*s - 16. Suppose -3*f = -p*f - 420. Let m = 88 + f. Solve 16 = m*l - 5*u, -4*l + u - 3*u - 12 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -2.14 - -0.24. Let t = -52.83 + 51. Let a = t - s. Do a and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 16*h - 4*h - 108 = 0. What is the greatest common factor of 72 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0.1133 * -8\nAnswer: -0.9064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -q = 2*q - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-18)\/504)\/((-1)\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -1910\/51 - -112\/3. Let m be 1\/3*6\/23. What is the closest to -2\/5 in s, m, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (4\/(-6)*-18)\/(-1). Let v be h\/2*4\/6. Let w be 7\/9 + v\/(-18). Are w and 2\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-1503)\/(-852) + ((-33)\/12 - (-14 + 13)).\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} -{"text":"Question: Let p = -415081 - -687971. What is p rounded to the nearest one thousand?\nAnswer: 273000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(o) = 715 - 180 - 185 - 167 - o**2 - 183. Let u = 46 - 33. Let l(k) = -2*k**2 - k**2 + u*k**2. Calculate v(l(i)).\nAnswer: -100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let w(o) = 37*o**2 + 16*o - 9. Let i be w(2). Solve 0 = -i*d + 169*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w be (-14 - (-11 + -2))*(0 + 13). Are -13 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -627 = -8*k - 11*k. What is the highest common divisor of k and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(q) = -q**3 + 284*q**2 - 2706*q - 9051. What is w(274)?\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 13 + -25 + (29 - 25) + (-1 - 48)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of 3*k**2*o**2 + 233158*k**2 - k*o**2 - 493864*o**2 wrt k?\nAnswer: 6*k*o**2 + 466316*k - o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is 4 divided by 130?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (4 + 0 - 1)*(4*s**2 + s**2 - 4*s**2)*(11 + 17 + 2*s - 5) to the form n*s**2 + o*s + k + i*s**3 and give n.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: -0.208 + -0.28499\nAnswer: -0.49299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: -5 + 3523326428.88\nAnswer: 3523326423.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: (82\/451)\/(8\/(1584\/55)*15\/50)\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*i + 5*q - 11, -3*i = 2*i - 4*q - 15. What is the remainder when 19 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(f) = -409*f**2. Let h(d) = 132108*d**2. What is -1616*a(w) - 5*h(w)?\nAnswer: 404*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {y: 1, b: 2, z: 1, d: 1, j: 1, h: 1}. Give prob of sequence jyhz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 212523078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of -39993, -79969, -119945?\n\"Answer: -39976*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -0.06 - -5.06. Suppose 3 = -4*d + 27. Let k be 6\/4*(-4)\/d. Which is the smallest value? (a) 0.5 (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 336 and 1394652?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -24\/145 or 1?\nAnswer: -24\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of -110731, -110775, -110817, -110857, -110895?\n\"Answer: r**2 - 47*r - 110685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 72880925 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 17 - 8. Let y = -10 + t. Let v be y\/3 - 7\/(-3). Solve -s + 2*g - 9 = 0, -8 = 2*s - v*g + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -10294.02 times 0.16?\nAnswer: -1647.0432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Is 25405085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let q(d) = 927*d**3 - 12*d**2 + 3*d - 1585. Let h(n) = -4634*n**3 + 64*n**2 - 16*n + 7926. Let g(y) = 3*h(y) + 16*q(y). Differentiate g(c) with respect to c.\nAnswer: 2790*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 296894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let r(k) = 7*k - k + 2*k - 14*k + 7*k + 21. What is r(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 228996 and 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4 + 1 + sqrt(13) + 0 + sqrt(26)\/sqrt(2) + 3.\nAnswer: 2*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 5 - 0. Let y = 521871.2 + -521871. What is the closest to -1 in y, v, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(c) = -c + 1. Suppose -4*u - 20 + 16 = 0. Let p(n) = n**2 + 8*n - 6. What is u*p(j) - 6*s(j)?\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 675804005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.31187 minus 253?\nAnswer: -252.68813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Factor 0*m**2 + 0*m - 1\/3*m**3 + 0.\nAnswer: -m**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -144023, -143950, -143877, -143804, -143731?\nAnswer: -143658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 1395, 2768, 4125, 5466, 6791, 8100, 9393?\nAnswer: 10670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -a - 3*a = -4*i - 16, -5*a + 4*i = -17. Suppose -3*l - 4*g + 2 = -1, -2*g = 3*l - 3. Solve -2*x - a = l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 918338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let r(o) = -o**2 + 3*o + 2. Let w be r(4). Let m be (-40)\/(-4)*(-1)\/w. Which is bigger: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 109 + (-230)\/46 + -57.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 109067338 + -109067157.999802. Let t = -180 + l. Round t to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify o\/o**(2\/3)*(o*o\/((((o*o**(1\/4)\/o)\/o)\/o)\/o)*o)\/o*o**3*o*o*o**9 assuming o is positive.\nAnswer: o**(229\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) -4 (b) 4 (c) -4\/66469 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 0.0303 (b) -6515 (c) 2\/13 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 5052739 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let g(p) = 116*p**2. Let f = 116 - 114. Let j(a) = 4*a - 3*a - f*a. Calculate j(g(u)).\nAnswer: -116*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 101 minutes after 4:08 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is -1 - -251941495?\nAnswer: 251941494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 15 + -13. Let q = -2339\/4 - -569. Let f = -16 - q. Sort f, h, 1\/2 in increasing order.\nAnswer: f, 1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(b) = 2*b. Let l be h(3). Let c = 6 - l. Suppose v + 0*v - 4 = c. Is 4 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 215 + -130. Let v = y - 85.0093. Round v to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 28*j - 32*j = -5*o, 3*o + 0*j = -2*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -10 + 9.4. Let h = r + 0.599998. Round h to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor s**5 + 38*s**4 + 420*s**3 + 392*s**2 - 10976*s.\nAnswer: s*(s - 4)*(s + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the yth term of 214, 176, 118, 46, -34, -116, -194, -262?\n\"Answer: y**3 - 16*y**2 + 3*y + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 29553529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Put 5, 2, -3, -2, 16 in increasing order.\nAnswer: -3, -2, 2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -580 in 65\/6, 0.2, 3, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let o(p) = p - 2. Let v(i) = i - 2. Let g = -8 + 35. Suppose -g + 11 = -4*a. What is a*o(n) - 3*v(n)?\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (0\/((-30)\/5))\/((-20)\/((-25)\/(-5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Divide -46 by 86187.\nAnswer: -46\/86187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve -8*d - 5*d = 65 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Is 10 a factor of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -4 (c) -0.06 (d) -5 (e) -266 (f) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence kgg when three letters picked without replacement from gggkkgkgkgg.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*d = -3*d - 3. Suppose -15 = -2*p + 1. Let u = d + p. What is the greatest common divisor of u and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -0.1 + 3.1. Suppose -t = -0*t, 0 = -4*x - 4*t - 8. Let i = 0.11 - -3.89. What is the biggest value in q, i, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2361 - 1625 = -46*m. Sort -2, m, 0, -4 in descending order.\nAnswer: 0, -2, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 0.37 - 0.37. Let j = 0.91 + -1.28. Let k = j + -1.63. Which is the nearest to g? (a) 5 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -8.4 - -8. Let s = 0.1 - b. Let o = 192 - 192. What is the closest to 3 in o, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 112 - 55 - 58 + 4*x**3 + 7*x**2 to o*x + g*x**2 + j + n*x**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (0 - -2) + (40 - 30 - 27).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let c(q) = -2 - 20*q + q + 18*q. What is c(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: ((-968)\/(-96) - 10) + 0\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 2 - 2. Let v = 374 - -293. Let x = v - 671. Which is the closest to x? (a) t (b) -2\/19 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 24757.\nAnswer: 19, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: How many months are there in fourty-six fifths of a century?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Put -30, -1, -5, -6, 5, 93 in increasing order.\nAnswer: -30, -6, -5, -1, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Round -14015.1868 to the nearest ten.\nAnswer: -14020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let p(m) = -m**2 - 4*m + 3. Let u be p(0). Suppose 3*v - u*l + 1 = -l, -3*v - 3*l = 6. Let d(g) = g - 1. Give d(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: (15 - 1) + (-5 - -15) + 2 + -10\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 73 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let q(k) be the second derivative of k**6\/360 - 5*k**4\/12 - 8*k. Let n(y) be the third derivative of q(y). Let t(z) = -14*z. Calculate n(t(a)).\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*i - 52 + 2 = -5 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 2318873 + -9818873. What is k rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Multiply 4 and -3550707.23.\nAnswer: -14202828.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let b be 0 + (2\/7 - 4170\/(-7)). Suppose -11*l = -563 + b. Let j(o) = -3*o**2 - o**3 - 4*o - 2 + 3 + o. Give j(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(v) = -31*v**3 - v**2 + 1. Let n be d(-1). Let c = -29 + n. Solve 0 = -c*o - 3*o + k + 17, -35 = -5*o - 5*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 355 minutes after 10:41 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 5126 is divided by 5124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*p = 3*z - 35, -26 = -4*z - 3*p + 6. Put z, -5, -463 in descending order.\nAnswer: z, -5, -463","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 2.228 + -0.228. Let x be -2 - 11\/(495\/(-100)). Which is the third biggest value? (a) 54 (b) 1\/8 (c) h (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -631599271*z**3 - 678335838 wrt z.\nAnswer: -1894797813*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -739, -740, -741, -742?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 42768674977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*s = 12, -3*u + 14 = -4*s - 1. Let f be 2\/(u\/(9\/(-6))). Does 7 divide -3 - -40 - -3*2\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: -33 + -82391.82801\nAnswer: -82424.82801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 36482, 36481, 36480, 36479, 36478?\nAnswer: 36477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 7973, 31888, 71745, 127544, 199285, 286968, 390593?\nAnswer: 510160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 22 - 22. Let l be d\/2*(-11)\/(-22). Find the second derivative of -82*i**3 + 6*i + 81*i**3 + l*i wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the lth term of -10318, -10322, -10326, -10330, -10334?\n\"Answer: -4*l - 10314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1170?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 83005 and 312.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((t*t**(2\/3))\/t)**(-19\/2)\/(t**(-2\/3)*t\/(t\/t**0)) assuming t is positive.\nAnswer: t**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: 892.9 * -50.55\nAnswer: -45136.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let k be 6\/2 - (12 - 6). Let d be 10 + k - (1 - -2). Find a, given that -4*a**3 - 4*a**3 + 0*a**3 + 6*a + 3*a**d - 3 + 2*a**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 229 = 5*u - 2*h, -2*h + 0*h = 4*u - 194. Let l = -1 + u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 0, 1.8, -1\/3, -738 in ascending order.\nAnswer: -738, -1\/3, 0, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*p = 10 + 30. Let n(i) = -i**2 - 11*i. Let y be n(p). Let z(h) = h**2 + 6*h + 6. Let g be z(-6). Calculate the highest common factor of y and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(y) = y**3 + y. Let c(s) be the second derivative of -3*s**5\/10 - s**3\/6 + s. Suppose 13*v = 48*v - 42 - 28. What is v*k(w) + 2*c(w)?\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 14534886 and 10089.\nAnswer: 3363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let s(c) be the first derivative of c**4\/4 + 5*c**3 + 9*c**2\/2 - 2*c + 44. List the prime factors of s(-10).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} -{"text":"Question: What is 1584 times -4?\nAnswer: -6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*o - 4*i + 16 = -3*o, -2*i = -5*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let p(d) = -d**2 - 4*d - 2. Let n(y) = -2*y**2 - 46*y - 18. Calculate n(b) - 9*p(b).\nAnswer: 7*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 35 - 12. Let q(x) = 5*x**2 + 2 - 3 - 18*x - 6*x**2 - 4. Calculate the remainder when u is divided by q(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-168)\/33)\/(590\/(-3245))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:23 AM and 9:45 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: (6 - -33) + 12 + -11 - (35 + -37)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 3342111152 + -5?\nAnswer: 3342111143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -2762\/15 - -184. What is the third biggest value in 0.4, b, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 2\/29 in 2\/13, 2\/11, 1, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 147 and 1781.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(132) - (-5*(sqrt(132) + (-1*sqrt(132) - sqrt(132))) - sqrt(132) - sqrt(132)))\/(sqrt(12) + sqrt(12)*-2*1).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: -170 + 159 + (4 + -5 - -11) - 14\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 y, 1 k, and 2 b when four letters picked without replacement from fmyfbmbkfffvb.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -5*l**5 - 11*l**2 + 2*l wrt l.\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 20282452?\nAnswer: 2, 5070613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 728695 divided by 6.\nAnswer: 728695\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let a(l) = 4*l**2. Let p(k) = k + 3. Let j(w) = -4*w - 14. Suppose -6*g + 24 = -12. Let i(y) = g*j(y) + 28*p(y). Calculate i(a(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*d - 1 = 2*f, 4*f - 2*d + d + 11 = 0. Let v = -23.6783 - -22.7583. Which is the smallest value? (a) 3 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 0.2 (c) 3470\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (235\/((-124785)\/(-2242)))\/((-20)\/18)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 34.632076933+-0.4\nAnswer: 34.232076933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.04 (c) 44 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 283*r + 1402416 - 1404397 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 6*c + 37*p - 32*p + 23, 2*c + p = -7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -318 + 241. Suppose -2*m + 7*m = 10. Let v be (d\/28)\/(m\/(-24)). Calculate the highest common factor of v and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is 4 - 1765164?\nAnswer: -1765160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -5 divided by 14639659.\nAnswer: -5\/14639659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -345 + 3109\/9. Are -0.3 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -0.14 - -0.44. What is the closest to -0.1 in 1, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-205*(-7)\/(-3731))\/(1\/(13*-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 124720632 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is (-3)\/((-26)\/(104\/(-84)))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 5 - f9?\nAnswer: -f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*a - j - 4259 = -105, 4150 = 3*a + j. Calculate the greatest common factor of a and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1425.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is -5512.285 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let c(w) = -6*w**3 - 2*w**2 - 2*w - 1. Let f(m) = -3*m**2 + 5*m**2 - 4*m**2 - 4*m + m**3 + 2. Let g be f(3). Let t be c(g). Solve -t = -5*y + 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 466153, 466118, 466049, 465946, 465809?\nAnswer: 465638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Express 7 + s**3 - 10 + 7*s**2 + s**3 as p*s**2 + h*s**3 + q*s + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -539 - -538. Let q be (v\/(-8) + 345\/120)*-1. Let l(a) be the third derivative of a**6\/120 + a**5\/15 + a**4\/24 - 2*a**3\/3 + 2*a**2. What is l(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 5 (b) 10 (c) -0.7 (d) 2\/7 (e) 1 (f) 5\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -157\/2736 and -22\/285?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: -225044 (base 9) to base 7\nAnswer: -1101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when (9\/(-12))\/((-3)\/84) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -15? (a) 5.1 (b) -2\/7 (c) -1\/2 (d) -1\/4 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 222 minutes before 3:19 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let w(k) = -3*k. Suppose -3*u + 6*u = 36. Let m(f) = f - 16. Let g be m(u). Let y(a) = 24*a. Let b(c) = g*y(c) - 33*w(c). Let r(d) = d. Determine r(b(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let b be ((-3)\/(-2))\/((-1)\/44). Let f = 115 + b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 6*v + 1 + 15*v + 1.\nAnswer: 21*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(300) + 1)*-1.\nAnswer: -10*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -36 + 18 + 18 - 35*j to the form l + z*j and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is 477 a factor of 65896119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let w(s) = -s + 5. Let q be w(-5). Suppose -b - b = -q. Let y be ((-7)\/((-63)\/6))\/(((-440)\/(-150))\/(-22)). Sort -2, y, b in descending order.\nAnswer: b, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence czz when three letters picked without replacement from zzczzzcczzzz?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 1, -91, -309, -707, -1339, -2259, -3521, -5179?\nAnswer: -7287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -85*f + 3 + 0 - 20*f.\nAnswer: -105*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 621 + -339. Let r = 131 - 1440\/11. Find the common denominator of d\/28*4\/(-6) and r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 4189504 is divided by 23940.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 8:31 AM and 3:27 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let d be ((-17)\/3 - (-4)\/6)\/(-1). Suppose d*i - 22 + 2 = 0. Let r be 11\/i - (-18)\/(-24). Solve -16 = 2*t + r*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(k) = -k**2 - 13*k + 3. Let i(z) = 3*z**2 + 36*z - 7. Determine -3*i(n) - 8*r(n).\nAnswer: -n**2 - 4*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Product of -5 and -1865.\nAnswer: 9325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from mvmmmmvv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((f*f**(-8))\/f)\/(f**(2\/25)*f))\/(f**(-2\/15)\/f**0) assuming f is positive.\nAnswer: f**(-671\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 6238776 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8322 = -246*o + 27348. Solve 16*j = -13*j + o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 41854?\nAnswer: 2, 17, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 9? (a) 2\/27 (b) -0.5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let p(q) = 2*q**3 - 7*q**2 + 5*q - 3. Give p(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 50985276 and -3?\nAnswer: -152955828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let n(l) = 2*l**3 + 730*l**2 - 5239*l - 11555. Give n(-372).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 1897204847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {p: 4, v: 6}. What is prob of picking 1 v and 2 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: -103131043 (base 5) to base 4\nAnswer: -1230010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -0.2? (a) -2\/9 (b) 0.4 (c) -0.26 (d) 4.4 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: How many microseconds are there in 1\/10 of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (13 + 6 - 3)*(-j - 3*j + 2*j) + (3*j - 3*j - 8*j)*(2 + 3 - 3) to p*j + g and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let w(h) = 4*h**2 + 24*h + 22. Let d(t) = 3*t**2 + 23*t + 21. Let f(l) = 5*d(l) - 4*w(l). Let a be f(11). Calculate the highest common divisor of 42 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (((-135)\/170)\/(-9))\/((-5676)\/473)?\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*t + 6296 - 6711 = 0. Calculate the greatest common factor of 2 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -199*r**2 + 19*r + 22 - 198*r**2 + 396*r**2 to the form b + w*r**2 + o*r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 3.12 + -3.07. Put -2\/19, 0.4, c, 0 in ascending order.\nAnswer: -2\/19, 0, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*w - 2*h = -3*h - 5, h = -4*w - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of 434121, 868237, 1302353, 1736469, 2170585?\n\"Answer: 434116*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let p(a) = 871*a - 65. Is 13 a factor of p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 6409 - -4147. List the prime factors of h.\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(i) = -25*i**2 - 2*i. Let d(g) = -3*g + 8571*g**2 - 4281*g**2 - 4315*g**2. What is -2*d(c) + 3*u(c)?\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*o - 11 = -66. Let f(a) = 32*a**2. What is the remainder when f(-1) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be 303*-1 - (0 + 1). What is o rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of 17, 44, 81, 134, 209, 312, 449?\n\"Answer: x**3 - x**2 + 23*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 344 and 3666438.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let l(v) = -v**3 + 68*v**2 + 289*v - 17. Determine l(72).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let v(t) = -27*t. Let c(f) be the second derivative of f**5\/60 + 97*f**2\/2 + f - 4. Let w(j) be the first derivative of c(j). What is v(w(u))?\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let 2*o**3\/3 + 65828*o**2\/3 + 179740616*o - 13421233776 = 0. What is o?\nAnswer: -16494, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let g(h) = 1565*h**3 + 1699*h**2. Let n(x) = 1043*x**3 + 1133*x**2. Let s(l) = -5*g(l) + 8*n(l). Find the third derivative of s(q) wrt q.\nAnswer: 3114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 0.5 + -0.8. Let d = p - -0.4. Let q be -5*(-3)\/(-1 + 16). Which is the nearest to d? (a) -5 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 8158*a - 902*a - 1722*a + 3279*a + 4630*a as q + l*a and give l.\nAnswer: 13443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 7852 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: Let q = 21 + -83\/4. Let w = 26050 - 52105\/2. Which is the closest to -2\/3? (a) -4 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 330 - 328. Suppose 5*g - 11 = -6. Let p(a) = 5*a**2 - 5*a**2 - a**2 - g. What is p(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence geg when three letters picked without replacement from brbegeeobgbgbbgbbeb.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Work out -12220754 * -0.5.\nAnswer: 6110377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Is 92046 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is -76*(-88)\/(-35112)*(-14)\/(-1)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -2550 and 0.02207?\nAnswer: -56.2785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 12*o = 18*o - 96. Suppose -9*y + 29 = -o. Suppose -y*t + 1070 = -2*h, -4*t - 2*h + 255 = -583. List the prime factors of t.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:41 AM and 9:31 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.477 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -14 + 9. Which is the second biggest value? (a) -0.5 (b) 2\/11 (c) 5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (501\/(-334))\/(6 + -8 - 13\/(-4)). What is the fourth smallest value in -1\/8, -2, 1\/2, -9, g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sum -20073.0086 and -0.08.\nAnswer: -20073.0886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -77 and 7.5.\nAnswer: -577.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*r + 18 - 4 = 2*c, 5*r + 4*c = -37. Which is smaller: 0.3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(q) = -q**3 + 7*q**2 - 3*q + 8. Let r be (-18 - -31) + 2\/(-2). Let d = -5 + r. Determine m(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 4, 5, -165, 0, -17 in increasing order.\nAnswer: -165, -17, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Is -12672035 bigger than -12672065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in -1, 2, -2, -0.04, 0.47?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -n = 5*f - 3*f - 7, 3*n = 15. Let o be (-3)\/((-4)\/8 - f). What is the highest common factor of o and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -19\/2 - -129\/14. Let g = 2.1 - 0.1. Let m = g - 1.9. Which is the nearest to m? (a) -5 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((i**(-1)*i*i**(-7))\/(i**5*i**(-4)\/i))**(-44) assuming i is positive.\nAnswer: i**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 352 and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(11)*-4 + -2 + sqrt(220)\/sqrt(5) + sqrt(11))**2.\nAnswer: 4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let a(l) = 2*l**2 - 81*l + 1160. Is a(57) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (-276)\/16 - (-9)\/(-12). Is 4\/k - (-296)\/36 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 2 in 2\/9, -0.7, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: (-32)\/(-56) + 4897\/(-7847)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.000001608 rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 12 + 2 - 1\/1. Let g(b) = -b + 150. Let f be g(0). Suppose z*t - 8*t - f = 0. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -8*q + 47 + 28 - q - 75.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve 920*g + 6574 = 233*g - 3731 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -l + 3*l = 40. Solve 0 = -0*q + 4*q - l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 967, 2, -5, -4, 0, 13, 4 in descending order.\nAnswer: 967, 13, 4, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 54013, 214975, 483283, 858943, 1341961?\nAnswer: 1932343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is (-10)\/(-4)*(-9)\/(4050\/(-210))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is -13112 (base 8) in base 11?\nAnswer: -4318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -110 - -101000100?\nAnswer: 100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the zth term of 58618471, 58618476, 58618481, 58618486?\n\"Answer: 5*z + 58618466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -11? (a) 2 (b) 288 (c) 0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*q - 2*j = 4*q + 4, 3*q + 2*j + 4 = 0. Let x = -455 - -596.5. Let m = 141 - x. Is m greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 51*c*m*y**3 + 2*c*m + 7*c*y**3 + m*y**3 + 2*m*y - 44*y**2 with respect to m.\nAnswer: 51*c*y**3 + 2*c + y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*p = 6*y - y - 340, 5*p = 4*y + 466. Let j be (p\/(-50))\/(1\/(-55)). Suppose 504 - j = 5*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(l) = -l**2 - 10*l + 188. Let a be u(-19). Calculate the highest common factor of 459 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 1969443 and 1337.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let s(y) = -y**3 + 2*y**2 + 4*y. Let b be (-3)\/(1 + 4\/(-2)). Let u be s(b). What is the remainder when (6\/(-4))\/(u\/(-48)) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 11\/10 of a decade in years?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 6 + -2. Let d(b) = 2*b. Let c be d(x). Solve 3*p - f + 7 = 0, -p - c = 5*f + 21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(t) = -t**2 - 6652*t + 19943. Give g(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 34*n - 184*n = -2951100. Is 183 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a be 2 - 0\/(0 + 3). What is the nearest to 1 in -0.3, a, -0.02?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -30 - 53 = -2*p - 3*p + 2*i, 29 + 34 = p - 12*i for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let y(u) be the second derivative of -7\/2*u**2 + 0 + 2\/3*u**3 + 6*u. What is the first derivative of y(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 2903903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -8891965 - -4291965. Round r to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -93\/8? (a) -5\/26 (b) -0.4 (c) 0.028 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Express -23*p + 79 - 79 as l + n*p and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Round -2.446433 to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let k be ((-9)\/2)\/9*2. Let y = 8 + k. Solve -2*a = -y*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -29887, -59638, -89369, -119068, -148723?\nAnswer: -178322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 4787250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -15430*t - 114179.\nAnswer: -15430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let y(a) be the third derivative of -a**2 + 0*a**6 + 0*a**4 - 11\/105*a**7 + 0*a + 1\/168*a**8 + 0*a**3 + 38 - 7\/30*a**5. Find the third derivative of y(i) wrt i.\nAnswer: 120*i**2 - 528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: -363912 (base 10) to base 3\nAnswer: -200111012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 2117 + -1314. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*s = -8*n + 12*n + 13, 9 = 3*n + 4*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -0.97 or 0?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 15\/2 and 38\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Expand 2*b**4 + 2*b**4 - 5*b**4 + (-2*b**3 - 2*b**3 + 2*b**3)*(b + 0*b - 2*b) - b**2 + b**2 - 2*b**4 + (-2*b**4 + 3 - 3)*(-63 + 141 + 619).\nAnswer: -1395*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((v\/(v\/v**(2\/7)))**12*((v*v\/(v*v**0\/v*v))\/v*v)**18)\/(((v\/(v\/v**(-3\/7)))\/v)\/v*v**(-6)*v*v\/(v**(3\/2)*v)*v*v**6) assuming v is positive.\nAnswer: v**(327\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:05 PM and 12:07 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 209337137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Sort 3, -1\/2, 0.02, 2, 3\/7.\nAnswer: -1\/2, 0.02, 3\/7, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Express -2*j - 39*j**2 + 2*j + 21*j**2 in the form k*j + p*j**2 + m and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*p - 4*g + 5259 = 0, 5277 = 3*p - 4*g + 2*g. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(w) be the third derivative of -3*w**6\/20 - w**5\/20 - w**4\/4 - 16*w**2. What is the third derivative of g(c) wrt c?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -61\/16 and 95\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is -42\/25 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is 636 + 4?\nAnswer: 63a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let p(f) = -f**4 - 110*f**3 - 3543*f**2 - 6492*f + 12. Let b(x) = -2*x**4 - 221*x**3 - 7075*x**2 - 12985*x + 22. Let z(q) = 6*b(q) - 11*p(q). Factor z(j).\nAnswer: -j*(j + 2)*(j + 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*w - 3*s + s + 206 = 0, -w + 74 = -2*s. Suppose w = j - 0*j. Calculate the greatest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((1*sqrt(108))\/sqrt(3) + sqrt(36) + sqrt(1296)*1 + sqrt(36) + sqrt(36))\/(2*-1*sqrt(98) - (sqrt(98) + sqrt(98)*2*-5 + sqrt(98))).\nAnswer: 5*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {w: 11, c: 7, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: How many meters are there in 8\/25 of a kilometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -1661 - -1659. What is the nearest to -6 in l, -6, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-1)\/(-2)*158\/(-237)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -5574.36 * 0.4\nAnswer: -2229.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let m(z) = z - 4. Let t(d) = d**2 + 13*d + 46. Let k be t(-7). Let r be m(k). Let v = 0.02 + -0.32. Which is the third smallest value? (a) 3\/4 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 2\/(((-5)\/(-2))\/5). What is the second derivative of 41*m**3 - 4*m**u + 3*m - 41*m**3 wrt m?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-702)\/(-81))\/((1\/3)\/((-2)\/4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*s**2 + 2*s**2 - s**2)*(-2*s**2 + 6*s**2 - 5*s**2) + (-s**2 + s**2 - s**3)*(60*s + 67*s - 94*s).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*i - 5*v = 275, -2*v = -35*i - 198 + 2646 for i.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 87\/27 - (2 + 32\/(-18)). Suppose u*j = -j + 120. Calculate the greatest common factor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 220222847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -187 + 200. Calculate the lowest common multiple of j and 5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 191185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let v(g) = -10*g**2 - 2*g - 10. Let d(y) = -9*y**2 - 8. Calculate -3*d(w) + 2*v(w).\nAnswer: 7*w**2 - 4*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Solve -d + 28 = -9*o, -27486*o + 27487*o + 4 = d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let b(k) = -4 + 4 + 2*k. Let l(o) be the first derivative of -o**4\/24 - o**2 + 3. Let m(j) be the second derivative of l(j). Calculate b(m(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in 10, -0.05, 93.9, -1\/2?\nAnswer: 93.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 2532 and 30852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (((-8)\/6)\/4)\/(2\/(-18)). Solve -8*s + 5*s + h = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 9*n + 26 - 58 = 40 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in -2\/7, -0.2, -240900\/683?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is -18 bigger than -67\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*o + 4 = -3*v - 0*o, -4*o + 2 = -3*v. Which is smaller: v or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 3, 0.029, -0.2, 1, -0.004 in descending order.\nAnswer: 3, 1, 0.029, -0.004, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let r(p) be the third derivative of 0*p**4 + 0*p**3 - 9\/100*p**5 + 0*p + 0 + 17*p**2 - 1\/350*p**7 - 3\/100*p**6. Suppose r(u) = 0. What is u?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(l) = 2*l**2 + 4*l + 2. Let y be r(-2). Suppose -3*k + 22 = -a + y*k, -8 = 2*a - k. Which is smaller: a or -8\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify w\/(w\/(w*w\/(w*w**10)))*w*w*w**(-14)\/w*w*w assuming w is positive.\nAnswer: w**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1705775406?\nAnswer: 2, 3, 37, 7683673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3*i**3 - i**3 + 3*i**3 + (0 - 3 + 1)*(-5*i**3 + 3*i**3 + i**3))*(-2*i + 10*i - 1 - 1).\nAnswer: 8*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let r(i) = -i + 12. What is r(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2051839?\nAnswer: 2051839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-2)\/8)\/((-1540)\/960)*(-28)\/(-8)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is -283.4234 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -8 - (8 - 19) - (2 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 5 + -6. Let j = m - -3. What is the first derivative of 3*w**2 - 3 - 3*w**j + 4*w**3 wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -83\/1311 and -43\/48?\nAnswer: 20976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -4 + 4 - 6*z - 5*z to the form i + k*z and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*y = -0*y - 2*k - 60, 35 = 3*y - k. Let l = y - 7. Let b = -5 - -9. Solve b*f - p = l*p - 20, -4*p = -f - 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 j and 2 r when three letters picked without replacement from rrrrrrrrrrrjrrr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*h + 0 + 6 = 0. Let u(f) = f**2 + 6*f - 10. Let y be u(-7). Put y, 3, h in descending order.\nAnswer: 3, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between -44 and 8.9?\nAnswer: 52.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Express (s + 2*s - 4*s + (5 + 0 - 1)*(-8*s + 4*s + 18*s))*(3*s**3 + s**3 - 2*s**3) as i + j*s**4 + b*s + z*s**3 + c*s**2 and give j.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} -{"text":"Question: What is 3639 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: In base 9, what is 756 + -40?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 b, 1 g, and 1 y when three letters picked without replacement from bybllgsbbaysybb?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Find s such that s**4 + 75*s**3 + 1021*s**2 + 4641*s + 5782 = 0.\nAnswer: -59, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*f - 85 = -5*v, 268*f = 3*v + 267*f - 51 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let j(u) be the first derivative of -u**5\/15 + u**4\/2 - 4*u**3\/3 + 4*u**2\/3 - 9. Determine m, given that j(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between -169482 and 0.2?\nAnswer: 169482.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is -11 - -1400625?\nAnswer: 1400614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-4 + 4 - 2)*(-31*n + 11*n + 0*n) - 1 - 123*n + 105*n - 1 - 2*n - 2*n + 2*n + (2*n + 0 + 0)*(-3 + 2 + 0) to the form m*n + x and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (4 + -4 - (-2 + 0)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 52828939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is 20 - -1044?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let c(n) = 6 - n**3 - n**2 - n**3 - 5. Let g = 1 + -2. What is the units digit of c(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(s) = s**2 + 5*s - 9. Let k be t(-7). List the prime factors of k\/(10\/(-4)) + 17.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is -123 + -1034?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let j(z) = 0*z**3 - 11*z**2 + z**2 + z**3 + 0*z**3 - 12 + 11*z. Let n be j(9). Is (-100 + n\/2)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(w) = 11*w**3 - w + 11. Let n(z) = 7*z**3 - z + 7. Give -8*n(f) + 5*v(f).\nAnswer: -f**3 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 1635.32 and 3?\nAnswer: 4905.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 n, 1 c, and 1 k when three letters picked without replacement from {m: 1, k: 2, c: 3, n: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Round 80483.3 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -24, -29, -48, -87, -152, -249?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -30042, -119916, -269714, -479442, -749106, -1078712?\nAnswer: -1468266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between -0.1 and -641104?\nAnswer: 641103.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Expand -4*u - 2*u**4 + 4*u + (-52*u**3 - 50*u**3 + 3*u**3)*(-3*u + 0*u + 4*u).\nAnswer: -101*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} -{"text":"Question: Let q(k) = k**3 + 11*k**2 - k + 12. Is q(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5531 = 2431*g + 29731 - 1228 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let m(u) = -u**2. Let p(t) = 2905*t - 644*t + 2288*t + 540*t - 669*t. What is m(p(a))?\nAnswer: -19536400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Factor y**3\/7 + 173798*y**2\/7 + 7552478881*y\/7 + 90604721388\/7.\nAnswer: (y + 12)*(y + 86893)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 5961 is divided by 69.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is 475821 a multiple of 858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-116)\/(-24)*8)\/(((-204)\/(-36))\/(-17)*-2)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let a(h) = -2*h + 1. Let x(w) = -33*w - 24. Let m(d) = -15*a(d) + x(d). Let k be m(-15). Let i(t) = t - 6. Let o be i(k). Solve 4*r - 5 - 7 = o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*w = -u + 33, 0 = -3*u - w - 2 + 57. Suppose 4*s - 8 = q - 3, 5*q + 5*s - 25 = 0. Let z = u + q. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (3*(sqrt(76) - (sqrt(76)*1 + 3) - (sqrt(76) + 2*sqrt(76) + 1))*-5)**2.\nAnswer: 10800*sqrt(19) + 157500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let d(v) = v**2 + 14*v + 17. Let c = -33 - -20. Let l be d(c). Suppose -l*i + 60 = 3*b, 2*b + 5*i - 41 + 8 = 0. What is the greatest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -51250\/31461 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between -2 and 6371.58?\nAnswer: 6373.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Convert -609c (base 13) to base 3.\nAnswer: -200021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in 0, 17012, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -d + 4*o + 6 = -0, 3*d - 18 = -o. Let j be (-35)\/(-14) + (-9)\/d. Is 2 a factor of (1 + 3 + j)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -15*u = -19*u + 8. What is the third derivative of 3*f**4 + 5*f**2 - 3*f**4 - 10*f**6 - 4*f**u wrt f?\nAnswer: -1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(j) = 2*j**3 + 4*j**2 - 2*j - 4. Let a be m(-5). Let v = a - -215. Suppose -111*n + 5338 = 111*n - 212. What is the remainder when v is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -49\/24 - -3\/8. Sort 4, 2, g in descending order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 1 + (-12 + 9 - -17).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -6330*m + 39281 = -6319*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 1462305590 to the nearest integer?\nAnswer: 38240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*w - 116 = -3*p - 24, -144 = -5*p + w. Suppose -5*b + 4*r + p = 0, -5*b - 5*r + 17 = -3. Solve 0 = b*q + 4*a + 13, 0 = -q + 3*q + 3*a + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -4058, -8121, -12186, -16253, -20322?\nAnswer: -24393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 5037 and 10437321?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let v(a) = -5*a - 69. Let w be v(-13). Sort -3, w, -8 in decreasing order.\nAnswer: -3, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put together -12944633520041 and -0.01.\nAnswer: -12944633520041.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let v(h) = -h**2 - 11*h - 2. Let t = -168694 + 168938. Calculate the remainder when t is divided by v(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -5*d*f**2*p**2 - 2*d*f**2*p + 19*d*f**2 + 7*d*p**3 - 2*f**2*p wrt p.\nAnswer: -10*d*f**2 + 42*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -4 + ((sqrt(108)*-3 + 4)*-3)**2.\nAnswer: -1296*sqrt(3) + 8888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = o - 5*l - 27, 9*l = 4*o + 14*l + 17. Suppose 5*x - 2 = 8. Solve -o = -4*z + x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -0.13 - -0.81. Let x = 0.18 - h. What is the second biggest value in x, -0.3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be ((-25)\/2)\/5 + -13 + 16. Sort 4, 2\/5, 3, o in descending order.\nAnswer: 4, 3, o, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: (-1)\/(-12)*4764\/13895\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-1 + (sqrt(228)*1*3)\/(-2*sqrt(36)\/sqrt(3) + sqrt(12)))**2.\nAnswer: 6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is 0.03 > 1383048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((y**2*y)\/y)**(3\/2)\/(y\/(y**(-9)\/y))**(-1\/62) assuming y is positive.\nAnswer: y**(197\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 100129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from nllllnlennlelnee. Give prob of picking 4 l.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 4336219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Divide -82759290 by -719646.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 14 - 5 - 1298*o + 1307*o.\nAnswer: 9*o + 9","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} -{"text":"Question: Suppose 40 = -20*b - 20. Sort 0, 3, b, 389.\nAnswer: b, 0, 3, 389","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of -44612, -356932, -1204692, -2855624, -5577460?\n\"Answer: -44622*f**3 + 12*f**2 - 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v be 21960\/(-5612) - (-2)\/(-23). Let r(q) = -7*q**2 + 3*q + 3. Let y(t) = -8*t**2 + 4*t + 4. What is v*r(h) + 3*y(h)?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 241691.\nAnswer: 241691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 7881218 is divided by 458.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let o be 4\/(-16)*0 + 5. Let t = -244 + 243. Let f be (156\/28 + -6)\/(-1). What is the nearest to t in o, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from ccp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: -3.79 * 3446\nAnswer: -13060.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from gxrqy. Give prob of sequence xq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from kppypkxymxpmypkyk. What is prob of sequence mmkx?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is 4 - 8478893?\nAnswer: -847888a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 34656 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -417, -828, -1237, -1644, -2049, -2452, -2853?\nAnswer: -3252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(125) + -5 + 1.\nAnswer: -4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Factor 15*u**3\/2 - 9*u**2 - 189*u\/2.\nAnswer: 3*u*(u + 3)*(5*u - 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 780 + -412. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -6314, -12638, -18966, -25298?\nAnswer: -31634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 128 a factor of 225102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let m(u) = 1947*u**2 - 9723*u - 70. Give m(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 7059 + -7055. Which is the nearest to 0.2? (a) i (b) 3\/2 (c) 5 (d) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*s = -7*s. Suppose 6 = -3*f - s*f. Let t(a) be the first derivative of -a**4\/4 - 4*a**3\/3 - a**2 + 2*a - 2. Calculate t(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(d) = 12*d**3 - d**2 - 2*d + 3. Let p be a(2). Suppose -4*i + 13 + p = 0. Let t = 761 + -696. Calculate the greatest common divisor of i and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 77 a factor of 474790239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Expand 286*p**5 - 128*p**5 + 108*p**5 + (0*p**2 - 8*p**2 - 12*p**2)*(p**3 + 4*p**3 - 4*p**3).\nAnswer: 246*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 8? (a) 13 (b) 0.5 (c) 19 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let o be 7\/2*(-3 - -1). Let k be o\/14 + 26\/4. Suppose 5*m = -2*b + 118, 2*b - 70 = 3*m - k*m. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(d) = -2*d**2 - 6*d. Let c be g(-4). Let m be (-2)\/8 + (-10)\/c. Suppose 0 = 139*t - 152 - 265. What is the highest common divisor of m and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*d - 2*k - 2 + 4 = 0, -4*k = -4*d + 36 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 3 + -d3ce18?\nAnswer: -d3ce15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*a - 12 = -26 - 11. Solve 0 = f - 0 - 3, -a*i - 40 = -5*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 317, 4, 2, -7, 5 in decreasing order.\nAnswer: 317, 5, 4, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*h - 84 = -3*h - 2*r, -3*r = h - 35. What is the units digit of (-4 + 1 + h)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 19\/57 + 6425\/3 + 1. Let c = x - 2140. Factor -4 + 9\/2*s**c - 19*s**2 + 22*s.\nAnswer: (s - 2)**2*(9*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 233113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 154\/(-11)*4\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*n + 13 = 3*w, -38 - 8 = -4*n - 83 + 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 1138562 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: 10 (base 11) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange x**4 - 29 + x**4 + 30 - 5*x**2 to s*x**2 + j*x**3 + d + n*x**4 + k*x and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 36995 and 4832?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-3)\/(-8) + 2516\/544.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of 1337335767, 1337335772, 1337335779, 1337335788?\n\"Answer: d**2 + 2*d + 1337335764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 3195329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Are 375655\/2 and 187829 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let u(q) = 1. Let a(c) = 2*c + 5. Suppose -11*j + 9*j + 6 = 0. Suppose 0 = 2*n - o + 5*o + 24, 5*o - 3 = j*n. Determine n*u(k) + a(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 49\/5027 and 139\/537432?\nAnswer: 5911752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1194355 is divided by 555?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -m**5*v - 53*m**3*v - 12*m**2 + 7*v wrt m.\nAnswer: -60*m**2*v - 318*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -t + 1 = -m, -30 = -5*t - 4*m + 2. Let g = -19 - -19.2. What is the third biggest value in -3, g, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from wapwpwiivppvpw. Give prob of sequence vwv.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -103*z + 159 with respect to z.\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let b(t) = -11*t - 58. Determine b(-11).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let t(d) = 5*d. Let v(x) = 2*x**2 - 211996. Calculate v(t(o)).\nAnswer: 50*o**2 - 211996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -55 = -3*q - 5*l, -3*q - 4*l + 50 = -0. What is the greatest common factor of q and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is 99 + 10?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -32.6 - 31.045299358.\nAnswer: -63.645299358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 258 is divided by 94.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -103\/1194 and 113\/36.\nAnswer: 7164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is 2452631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (-1)\/(1\/4*-2). Let r = 62 + -247\/4. Factor -1\/4*y**4 + 0 + 1\/4*y**3 - r*y + 1\/4*y**b.\nAnswer: -y*(y - 1)**2*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 6*f + f - 2*f + f + 0*f - 2*f + (0 + 1 + 0)*(-2 - 2*f + 2) + 49*f + 1113 - 1113.\nAnswer: 51*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*d - 2*y - 3*y = -116, 0 = 2*d + 4*y - 78. List the prime factors of d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(y) = -2*y. Let i(f) = -f**3 - 4*f**2 - 3*f - 2. Let n be i(-3). Let s(c) = -6*c. Let q(g) = g. Let k(d) = n*q(d) - s(d). Determine k(z(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -325 + 322. Let h(j) = 3*j**3 - 7. Let u(w) = 2*w**3 - 3. Give l*h(t) + 7*u(t).\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 13947668?\nAnswer: 2, 7, 37, 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -6*s + 1761 = -3*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 11152 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -9776 + 9772. Put w, 5, 4, -28, -2 in descending order.\nAnswer: 5, 4, -2, w, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(z) = -26*z**2 - 8*z + 4. Let j(u) = -24*u**2 - 7*u + 3. Calculate -7*j(h) + 6*q(h).\nAnswer: 12*h**2 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 3\/7 (c) -294 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 256092*b**3 + 22*b - 256093*b**3 - 22*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 2411474 and 20.\nAnswer: 24114740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let q(b) = -b**3 - 6*b**2 - 9*b - 2. What is the tens digit of q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:02 PM and 5:18 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 22218 and 30.\nAnswer: 111090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -w**3 - 65*w + 147*w**2 - 6*w**3 - 180 - 103*w - 2*w**3 = 0. Calculate w.\nAnswer: -2\/3, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -278 = -59*d - f, -3*f - 2*f - 70 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let u(h) = -2*h - 383 + 0*h**3 + 374 + 0*h**2 + 2*h**3 + 4*h**2 + h**2. Let x(w) = -w**3 - 3*w**2 + w + 5. Give -3*u(g) - 5*x(g).\nAnswer: -g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is 8 - (-15 + 19) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let c(f) = -f**3 - 16*f**2 - 22*f - 9. What are the prime factors of c(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -12*z**3 + z**3 - 4*z**3 + 0*z**3 + 5*z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify m**(-2)\/(m\/(m**(-5\/6)*m)*m) assuming m is positive.\nAnswer: m**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -59.7 + 63.7. Sort 2, 5, 0.36, h in increasing order.\nAnswer: 0.36, 2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine d so that 253125 + 135*d**2 + 10125*d + 3\/5*d**3 = 0.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 53*o - 630 + 47. Let b = 37 + -1. Suppose 0 = -o*i + 7*i + b. Solve l = 2*a + 2, 4*a + 5*l = -23 - i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -202, -5, 3, -118.\nAnswer: -202, -118, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 4 + -4 + 1\/(-2)*-14. Find the third derivative of 31*z**2 + 11*z - 4*z - p*z - 46*z**4 wrt z.\nAnswer: -1104*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 14431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 15\/(-6) - -3 - (-670)\/4 is divided by 77.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -93.5 + 93.4. Which is the second smallest value? (a) 15 (b) 2\/13 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4 - 1 - 5)*(-4*m - 2*m + 5*m) + (-2*m + 2*m - 2*m)*(-3 + 1 + 1).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Does 111 divide 18451530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let d(q) = -10*q**2. Let u(z) be the second derivative of 241*z**4\/4 + 204*z - 1. What is u(d(o))?\nAnswer: 72300*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 17 and 2890.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 622174577 to the power of 1\/2, to the nearest integer?\nAnswer: 24943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (324\/3)\/(-9)*(-68)\/51.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 405 minutes before 6:26 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -27 in 2\/5, -18\/5, 0.2, 0.04?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 6\/13 in -3, -1\/2, -18, -16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-1)\/((-6)\/((-6)\/(-1)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1 - 1 + 3*u)*((-4 + 2 + 0)*(u - u - 2*u) - 1 + 1 + u).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 124423*u**4 + 59153.\nAnswer: 497692*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 7 - (-15 + 21 + -20 - -52).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -209133621*p**3*t**3 - 111*p**2*t**3 + 7*p**2 + 108*p*t**3 + 14*p*t**2 wrt p?\nAnswer: -1254801726*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 153 - 107. Suppose 0 = 3*c - c - o. Suppose 5*v = -2*q + 57, 0*v + c = 2*v + q. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -10*j + 973 = -17. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence ssq when three letters picked without replacement from {g: 4, s: 12, q: 4}?\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let x(d) = -1111*d**2 + 4728*d - 1137. Calculate x(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Subtract 28635552 from -2.\nAnswer: -28635554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -d + j + 3959 = 327, 2*d - j = 7269. Suppose 2*x - d = -t - 860, 4*x = 3*t - 8331. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0.015+83415923.93\nAnswer: 83415923.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -0.5*-163.\nAnswer: 81.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Determine y so that 2*y**4\/9 + 26*y**3\/9 - 2*y**2\/9 - 26*y\/9 = 0.\nAnswer: -13, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: 6104551 (base 7) to base 5\nAnswer: 141134404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth biggest value in 2\/15, 4, 2, 0.3, -39, -0.5?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 109496 is divided by 468.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: -13 (base 13) to base 16\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let r(i) = -i**2. Let p be (-2)\/(-9) + (-10)\/45. Let m(j) be the first derivative of 1\/3*j**3 + 0*j**2 + 1 + p*j. Determine r(m(h)).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Is 2874611209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 11068 is divided by 619.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -9 - -11. Let d be (-4)\/10 - -134*2\/20. Find the second derivative of 0 + d*v - 2 + 2 - 4*v**f wrt v.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in -3\/2, -3, -1.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 4*(-5 + 117\/12). Suppose -z*y + 3913 = 474. What are the prime factors of y?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 520215 (base 6) in base 15?\nAnswer: c4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} -{"text":"Question: Let o(g) = g**3 - g - 5. Let n be 4\/((-2)\/(-4 + 0)). Calculate the remainder when o(4) is divided by 74\/4 + 4\/n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*c - 8 - 4. Suppose 0 = -2*z + c*l, l + l = -2*z - 12. Which is smaller: z or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is -b - -2e4dec?\nAnswer: 2e4de1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -10*l = -11*l + 5*h + 298, -l + 2*h + 286 = 0. What is the remainder when l is divided by 58?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of 1299, -379, -2057, -3735, -5413, -7091?\n\"Answer: -1678*b + 2977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 4506 is divided by 301?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 0 or -229\/11615863?\nAnswer: -229\/11615863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: -3 (base 4) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 5834 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*b - 4*f = -92488, 5*f = b + 7*f + 46236. What is b rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 1049*y + 2475 - 22406 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve -90*s + 45*s - 99*s - 432 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 347086722?\nAnswer: 2, 3, 17, 103, 33037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -9*z**6 + 2*z + z - 3*z - 17*z**2 wrt z.\nAnswer: -1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 29 - (14 + -22 - -21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 1\/5? (a) -5 (b) -3\/7 (c) -0.1 (d) -1\/5 (e) 21\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from obohciibr. What is prob of picking 1 c and 2 o?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let d be 1\/(-2) + -4 + (-92)\/(-8). Suppose 277 = 14*x + 39 - 98. Solve -u = -d*u - x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:19 PM and 11:35 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between 0.3 and 137107.405?\nAnswer: 137107.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Express -13*i**2 - 85*i + 3*i**2 + 0*i - 66*i + 73*i in the form n + u*i**2 + m*i and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*y = 5*b + 76, 5*y - 5*b = 2*y + 62. Calculate the lowest common multiple of y and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-5*z - 2*z + 0*z)*(8 - 2 - 3) - z + 2*z + z.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 17 - 81. Let b = 115 + f. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(z) = 2*z**2. Suppose 4*i + 3*u + 29 = 0, 0 = 4*i - 5*i + u - 2. Let p = 7 + i. Let h(l) = 7*l**p - l + l. Determine j(h(y)).\nAnswer: 98*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Is 13*2*(-20 + 22) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: 8 + (8 + -18 - -19)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 5554350299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -20 = -4*w + 4*q, -2*q + 5*q = 2*w - 10. Let u(v) = 3*v - 24. Let m be u(7). Sort m, 3, w, 13 in descending order.\nAnswer: 13, w, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 412047 - -19250.\nAnswer: 431297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Is 112803768 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {k: 2, y: 4}. What is prob of sequence yy?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 336 + 3045b?\nAnswer: 30794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -12, -55, -96, -135, -172, -207, -240?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Sort -5\/4, 40, -0.4, -3, 4.\nAnswer: -3, -5\/4, -0.4, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 7514047 is divided by 51?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 74893616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -13.25 - -0.05. Let m = f + 13.19999927. Round m to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 w, 1 l, and 1 z when three letters picked without replacement from sksklkzklwllks.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let i(f) = 2156*f**2 + 440*f - 5500. Let a(m) = 88*m**2 + 18*m - 225. Let n(u) = -220*a(u) + 9*i(u). Let g(s) = s - 92. Determine n(g(r)).\nAnswer: 44*r**2 - 8096*r + 372416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth root of 18433742 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: 34557 times 0.18\nAnswer: 6220.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let b(i) be the second derivative of -i**4\/12 + 5*i**3\/6 + 5*i**2 + 12*i. Let r be b(6). Solve -3*q - 12 = 0, 2*s - r = -s + q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of 216, 108, -70, -330, -684, -1144, -1722?\n\"Answer: -2*i**3 - 23*i**2 - 25*i + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let q(f) = 18*f**2 - 15*f + 102. Let m(j) = 23*j**2 - 19*j + 130. Let k(x) = 11*m(x) - 14*q(x). Let t(n) = 2*n**2 + n + 4. What is 7*k(a) - 4*t(a)?\nAnswer: -a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 26 + 0. Let x be 4\/10 - 18\/45. Suppose c + 4*s - 47 = x, 6*s - s - 166 = -4*c. Calculate the greatest common factor of c and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4840*s = -4852*s + 1260. What is the lowest common multiple of s and 357?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -2 divided by -9995003?\nAnswer: 2\/9995003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the cth term of -223, -236, -273, -346, -467, -648, -901?\n\"Answer: -2*c**3 + c - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 0*1*(-1)\/2. Which is greater: g or 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 19*d = -40230 + 113855. Is d a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 207 divide 318070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 1386, 1400, 1428, 1476, 1550?\nAnswer: 1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let u(t) = -3*t + 12. Let m be u(-8). Let i be (-5 - -2)*(-4)\/6. Let y be i\/9 + (-8)\/m. Solve y*n - 12 = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 2827661210 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -105.2 + 106.113. Let a = c - -0.087. What is the closest to a in -104, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -32944.8326 take away 0.19?\nAnswer: -32945.0226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 60350 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 130 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let v be 537\/(-7) + 10\/(-35). Let n = v + 212. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 360037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -10515 + 10515.0005167. Round n to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 171 = 37*c + 207 - 776. Let f(z) = -14*z + 274. Calculate f(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (3*i + 1 - 1)*(0 + 4 - 2) - 2 + 2 - 2*i + 5 - 5 + 2*i + (-3*i - i + 6*i)*(3 + 4 - 5) - 1 + 1 - i - 3*i + 3*i + 2*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Is 501286 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -4, -17, -40, -79, -140, -229?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3 + 32 = -5*r. Let q(t) = -3*t + 6. List the prime factors of q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -2.8 + 2.4. Let j be ((-4)\/(-42))\/((-10)\/(-30)). Which is the nearest to 3? (a) g (b) j (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 251.2 + -251.167. Let c = -3 - -3. Is c smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(d) = d**2 + 1. Let t be o(-1). Let l = -3 + t. Let k = -2 - l. Is 2\/7 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 514 - 748 = 12*g - 51*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let y(m) = 317245*m. Let i(a) = -6*a. Calculate i(y(g)).\nAnswer: -1903470*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of -351, 4886, 10123, 15360, 20597, 25834?\n\"Answer: 5237*w - 5588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let j be -2 - -38 - (-4 + 4)\/(-3). Suppose -2*n - 14 = -j. Calculate the remainder when 42 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -36 (c) 0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 1981763143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Express (n - 2*n + 3*n)*(-4 + 5 - 2)*(-4 + 5 - 3)*(1 - 1 + 3) as c + h*n and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of 4433653, 8867307, 13300961, 17734615, 22168269?\n\"Answer: 4433654*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -1? (a) -0.12 (b) -0.5 (c) 11 (d) 3\/2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 14.2, 0.4, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let b(w) = w**3 + 8*w**2 + 2*w - 1. Let y be b(-6). Let x be y\/(-3) + (-4)\/(-6). Let f = 21 + x. Solve h = -f*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -593 - -878. What is the remainder when f is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(n) = 24*n + 51. Does 15 divide g(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 101118 is divided by 6842.\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (-7)\/(7 - 480\/68). Let j(v) = 42*v + 54*v - y*v. Let h(q) = 4 - 4 + q**2. What is j(h(x))?\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let r(v) = v**2 + 4*v - 1. Suppose 3*u + 12 = -3. Let k be r(u). Factor -c - 5\/2*c**2 - 3\/2*c**3 + 1\/2*c**5 + 1\/2*c**k + 0.\nAnswer: c*(c - 2)*(c + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 2\/9*42\/28. Put 0.1, -1, -0.4, g in descending order.\nAnswer: g, 0.1, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 534024458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of -33835744, -33835739, -33835732, -33835723, -33835712?\n\"Answer: h**2 + 2*h - 33835747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth smallest value? (a) -8 (b) -2 (c) 6 (d) 4\/5 (e) 15\/4 (f) -0.1 (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 7*c + 21500 = 2*c. What is c rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: (-190)\/114*312\/10\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 881 is divided by 437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5 + 2 = -5*z + 3*l, l = -2*z + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 346*o**5 + 1144*o**2?\nAnswer: 20760*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is (-23325)\/(-375) - (342\/285 - (2 - -2))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Put together -0.3 and -1480.457047321.\nAnswer: -1480.757047321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify m\/m**(-3\/13)*m*m*m*m**32*(m**13)**(3\/2) assuming m is positive.\nAnswer: m**(1449\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 514 minutes before 5:04 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 53 minutes before 7:51 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Factor 5*w**3 - 19271725*w**2 + 18569959587915*w + 18569978859645.\nAnswer: 5*(w - 1927173)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {t: 1, j: 4, u: 1, b: 6, k: 1}. Give prob of sequence bu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 12336 and 528?\nAnswer: 135696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let n(i) = 36*i**2 - 1. Suppose 0*y - 1 = -x - 2*y, -x = 5*y - 4. Let v be n(x). Suppose 28 + v = 3*d. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 1\/21873 - -1028009\/481206. What is the common denominator of 119\/18 and w?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((z**(-3\/4)\/z)**(2\/63)\/(z\/z**(-1))**(1\/46))**19 assuming z is positive.\nAnswer: z**(-779\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 252 minutes after 4:46 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 758 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is 546071\/782 less than 699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -4922415 and -4?\nAnswer: 19689660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let l(h) be the first derivative of 2*h**5\/5 - 46*h**4 + 60*h**3 + 92*h**2 - 182*h - 1364. Factor l(r).\nAnswer: 2*(r - 91)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -155 by -5.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 47508 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*o - 2*o = -70. Suppose -t + 5*c = -5*t - 12, -o = 3*t + 5*c. Suppose b - 2*r - 1 = -11, -t*r = 2*b - 10. Solve b*y + y = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of -67, -150, -247, -364, -507, -682, -895?\n\"Answer: -w**3 - w**2 - 73*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (a**4\/a*a**(-3))**44\/(((a*a**(-1)\/a*a)\/a*a)\/(a*a**3*a*a*a))**(-48) assuming a is positive.\nAnswer: a**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let d(u) = -u**3 - u**2 - 2*u + 50. Determine d(0).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((sqrt(156) - 2*sqrt(156)) + sqrt(156))*-3 + sqrt(156))\/(2*sqrt(12)*1) + ((2*sqrt(13)*-4)**2 - (sqrt(832) + -5)).\nAnswer: -15*sqrt(13)\/2 + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1? (a) -3\/2 (b) -0.3 (c) -97 (d) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -5038, -10080, -15124, -20170?\nAnswer: -25218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 1168017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 3109851885.\nAnswer: 3, 5, 7, 19, 83, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let a(c) = -27*c + 65*c - 24*c. Let f(z) = z. Calculate f(a(g)).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-90 - 52 + 20 + (10 + 0 + 1)*(3 - 2 - 2))*(-2*w**2 - w**2 - w**2) + 2*w**2 - 2*w**2 + 2*w**2 + (w - 2*w + 2*w)*(0*w - 3*w + 4*w) - 4*w**2 + w**2 + w**2.\nAnswer: 533*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0.1 in 0.11, 46, 1, 2\/7, -1\/5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*o + 50 + 0 = 0. What is the remainder when 28\/(-35) - (-94)\/5 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0 times -0.721078\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 329\/4 - 82. Let d(f) be the first derivative of -2 + 2*f**3 + k*f**4 + 7*f + f**2. Calculate d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(r) be the second derivative of 0*r**3 + 0 - 1\/2*r**4 + 0*r**2 + 10*r. Let j(b) = -4*b. Determine c(j(y)).\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 0.7 - -4.3. What is the closest to 0 in -1\/4, 1\/9, p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 2\/9 in -4, -11\/8, -5, -2714?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 26294828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*p + 2*m + 2 = -2, 4*m = 8. Suppose -608 = 3*v - 5*y, 2*v - 3*v - 198 = -p*y. Let w = -117 - v. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*k = -2*i + 103121, -253*i + 248*i = -5*k - 257855. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = k + 5*h + 76 - 68, -3*h = 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -83 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-84)\/7)\/((-6)\/(-3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round -582959589 to the nearest ten thousand.\nAnswer: -582960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 9560335.\nAnswer: 5, 1912067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -18 + 30. Let f(l) = -l**3 + 7*l**2 - 3*l - 1. Suppose 2*h = -4*b - 12, 4*h + 6*b - 2*b + 4 = 0. What is the remainder when f(h) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 13535025 divided by -180467?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.3 take away -13156291343?\nAnswer: 13156291342.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let a be ((-1)\/(-2))\/((243\/12)\/9). Let w = 67.9 + -9.9. Is a less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (156\/286)\/(6\/198).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Is 92492026 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} -{"text":"Question: What is 0.000036385 rounded to six decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-15*l + 15*l - 6*l**2)*(-1 - 2 - 4*l + 2*l).\nAnswer: 12*l**3 + 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between -321644.769 and -10.456?\nAnswer: 321634.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: 1198 + -1109 - (12 + 45)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -3\/8 (c) -0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Divide 70550 by -27.\nAnswer: -70550\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 19 + -7. Let g = d + -12. Which is greater: -1\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 10052?\nAnswer: 2, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 2 (base 16) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ath term of -2490, -2464, -2440, -2418?\n\"Answer: -a**2 + 29*a - 2518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Expand (3*f**4 - 3*f**4 + 2*f**4)*(7 - f + 16 - 50)*(-12 - 77 + 141).\nAnswer: -104*f**5 - 2808*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 1388393356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*n + 4*b + 58 = 0, 4*n + 2*b - 57 - 19 = 0. Suppose -q + 0 = -18. Let d = q - -9. What is the least common multiple of n and d?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c be -5 - (-9)\/((-1512)\/6656). Let w = -310\/7 - c. Find v such that w*v**2 + 10\/3*v + 25\/3 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -22 + -67b906?\nAnswer: -67b928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1 + 0 - 2)*(-3*w**3 + 2*w**2 - 2*w**2).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (2 - (2 - 0)) + 1. Suppose 0 = s - 4 + f. Suppose 0 = -0*v - v + s. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -n - 4 = -2*n. What is the nearest to 0.15 in n, -2\/3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 43841.\nAnswer: 7, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 577 (c) 79\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let g be ((-12)\/(-7))\/(1 - 10\/14). Let v be (-1)\/g + (-10)\/12. Let p(x) = 173*x**2 + 6*x + 5. What is the tens digit of p(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 11*d = -d + 48. Let k(b) = 27*b**2 + d - 4 - 2*b**2. Let u(r) = -6*r**2. What is k(u(i))?\nAnswer: 900*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -0.0255 + 32.9255. Let p = o + -33.9. Is -13 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 1339 + -1320. Solve 0 = f*u - 3*u - 48 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 1, -11, -43, -107, -215, -379, -611?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 557 minutes after 5:21 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 8 + -6. Let v = -123 - -138. Put v, 5, i in decreasing order.\nAnswer: v, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} -{"text":"Question: Let v(o) = o**3 + 2*o**2 - 3*o. Let n be v(-3). Suppose -4*w - 5*i = -360, i - 281 = -3*w - n*i. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of 6616785, 6616779, 6616769, 6616755, 6616737, 6616715, 6616689?\n\"Answer: -2*w**2 + 6616787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 6 and (34\/(-5))\/((-12)\/60).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 a and 2 f when three letters picked without replacement from fyyfynyyffa?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is 205156657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let m(r) = 21581*r - 1552. Is m(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(j) = -j + 15. Let r be l(0). Suppose 3*d = 3*t + 38 + 181, -3*t - r = 0. Suppose 2*h + 2*h - d = -4*s, 2*s = 4*h - 74. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (-3 - 0)*2\/6. Let l be k*7*10\/(-35). Which is the nearest to l? (a) 4 (b) -0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -53*a*g*w - 88*a*y + 2*a + 27*g*w**2*y + 2*g*w*y - 133*w**2 wrt y.\nAnswer: -88*a + 27*g*w**2 + 2*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let b(u) = u**2 - 4*u - 7. Let r be b(6). Suppose r*q - 3*q - 4 = 0. Let s be 2*2 - (-4)\/(-2). Solve -5*y = q*t + s, 2*t + t + y = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 40175391?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2 = -4*y - 186. Let d = y - -105. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 9258*w - 9311*w + 106 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -4487, -17944, -40371, -71768, -112135, -161472, -219779?\nAnswer: -287056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*j - 8777 = -2*d + 461, -3*j - 4*d = -9230. Let l = 1825 - j. Let i = -866 - l. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 29187\/22 - 1327. Let z be (12\/(-8))\/(6\/(-8)). Calculate the common denominator of j and (-3)\/z + 828\/96.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in -2, -6.4, -12, -4\/7?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Does -8990 = -9308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -55821*p**2 + 56432*p**2 - 3 + 17.\nAnswer: 611*p**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let a(d) = 2*d + 11*d**3 - 3 - 7*d**3 + d. Let r = -8 + 11. Let n(p) = -7*p**3 - 5*p + 5. Give r*n(g) + 5*a(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(78)*2*-5*6)\/(sqrt(600) - (sqrt(600) + -1*sqrt(600)*-3)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) -1307 (b) -2.04 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 4678.3 rounded to the nearest ten?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -56*d = 14480 - 227168. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-5278)\/10556*(-69)\/(-9).\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(k) = -99*k + 12389. Let i be t(125). Solve -5*f = -3*q + i, -52*q = -53*q + f + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out 405324 * 3.\nAnswer: 1215972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve -32547 = -1516*h + 15965 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Express 5529*w**2 - 2*w - 5516*w**2 - 12*w as y*w + m*w**2 + j and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*r**2 + 2*r - 2*r)*(20*r**3 - 32*r**3 - 31*r**3).\nAnswer: -86*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 302, 303, 304, 305?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Product of 94 and 1166.\nAnswer: 109604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 15 + -40. Let t be (-2)\/3 - 776\/(-12). Let v = t + p. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 0.03 - 0.03. Let y = 0.41 + -0.51. What is the smallest value in l, -3\/5, y?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(x) = -74*x**2 - 16*x + 5. Give m(1).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 53\/2352 and 113\/8064.\nAnswer: 56448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -21 + 25. Suppose -4*o + i + 20 = 0, 4 = m*o + i + 2*i. Solve g + o = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -6647 - -6659. Calculate the lowest common multiple of 3366 and u.\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 1585743417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 3756 + 466. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -221.83 - -221.86739. Round z to four decimal places.\nAnswer: 0.0374","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(p) = p**3 - 18*p**2 + 17*p - 4. Determine s(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 207 and 345?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-1*58)\/((-50)\/5) - 5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {u: 1, g: 1, r: 2, l: 1, q: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let g(s) = 236*s**2 - 6*s - 774. Let f(z) = -2*z**2 + z. Let j(t) = -6*f(t) - g(t). Find the first derivative of j(h) wrt h.\nAnswer: -448*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*i - 3*w - 3106 = 2601, 0 = 2*i - 4*w + 2288. Let f = 9345 - i. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*j + 5*z - 19 = 0, -j - 5*z + 116 - 85 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let d be (6\/(-4))\/3*-2*768. Suppose 4*r = 0, 0 = 4*z + 3*r - 4*r - d. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(i) = -15*i - 18. Determine o(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: 551 + 350230\nAnswer: 350781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4 = -5*a + 39. Let f = 16 - a. Does 2 divide (-2)\/(-3) - (-21)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Solve 6 = 3*y, -232*s + 235*s = 4*y + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 3*(-4 + sqrt(1053) + 0)**2*4 - (3*(sqrt(143) + sqrt(143) + sqrt(143)*2 + sqrt(143)))\/(sqrt(44)\/sqrt(100)).\nAnswer: -939*sqrt(13) + 12828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let l(m) = m**2 - 2*m + 1. Let n(s) = -20*s + 26. Let i(d) = -43*d + 53. Let v(f) = -6*i(f) + 13*n(f). Let p be v(9). Let y(q) = -q. Give p*y(b) - l(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Divide -28686528 by -1872.\nAnswer: 15324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*v + 5*d + 25 = 0, -2*d - 2 = v + 8. Let b(t) = -t - 12. Let p be b(-7). Put 3, p, v in increasing order.\nAnswer: p, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 631235 and 4025?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let q(i) = -i**2 - 4*i + 6. Let w be q(2). Let a(x) = -19*x**2 + 13*x + 13. Let u(n) = 9*n**2 - 6*n - 6. Let g be -1 + -1 + 0 + -11. What is g*u(v) + w*a(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 177 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8*u = u + 2*b + 357519, 3*u = b + 153223. List the prime factors of u.\nAnswer: 11, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:21 AM and 9:57 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 167255897 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-23*m**3 - 9*m**3 - 9*m**3)*(5*m - 2*m - 2*m - 5*m + 3*m + m + (-2*m - 2 + 2)*(1 + 1 + 0) - 2*m - 3*m + 3*m - 3*m + 2*m - 3*m).\nAnswer: 410*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 1596*d**2*q + 32*d**2 - d*q - 2 wrt q?\nAnswer: 1596*d**2 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Product of 11335.02 and -0.3.\nAnswer: -3400.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence zlh when three letters picked without replacement from eehxeelxhezzzlzll.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3*i**2 + 2*i**3 + 1 + 21*i - 21*i)*(4 - 2*i**2 - 4).\nAnswer: -4*i**5 + 6*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 32656 + -32654. Which is the nearest to -0.2? (a) 4 (b) -0.8 (c) -1\/20 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -39772\/2417 or -3?\nAnswer: -39772\/2417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let q(g) = g. Let y(z) = -14*z**2 - 3*z + 3. Let f(c) = 407*c**2 + 88*c - 88. Let l(a) = -3*f(a) - 88*y(a). Calculate q(l(h)).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let d(f) = -f**2 + 10*f - 5. Let o be d(10). What is the tens digit of (-2)\/o - (-588)\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(d) = -2*d + 16. Let o(z) = -10*z + 80. Let g(q) = -11*f(q) + 2*o(q). Let u be g(6). What is the nearest to 2\/7 in -3, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be 50\/(-4)*(-12)\/10. Let k be (-2)\/((-1)\/(-6)*v). Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 741 - 739.61. Let t = -11.61 - b. What is the third smallest value in t, 2\/23, -2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 13 a factor of 215504354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Express -4*v**2 + 17*v**2 + 5*v**2 as w + t*v**2 + h*v and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Expand (3*q**5 + 0*q**5 + q**5)*(1 - 5 + 2) + 21*q**5 + 11*q**5 - 6*q**3 + 6*q**3 + (-7 - 2 + 3)*(2*q**5 - q**4 + q**4).\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*f - 23 + 88 = 29 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 20.11 less than -0.09123566?\nAnswer: -20.20123566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -5*o**2 - 16 + 11 + 3*o**2 + 0*o**2.\nAnswer: -2*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {b: 1, q: 7, c: 1, h: 5, m: 2}. Give prob of sequence qq.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 13439.\nAnswer: 89, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 72 and 405726.\nAnswer: 4868712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let y(r) = r**2 + 4*r - 6. Let t be y(-6). Suppose t*i - 41 = -2*v + i, -4*v + 22 = -2*i. Let p = -1 + 5. Calculate the greatest common divisor of v and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.00000020354 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: (-2 - 5\/2) + (-1)\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(x) = -x - 3. Let h be b(-5). Suppose 3*v + 4*l - 76 = 0, -3*v - 4*l + 36 = -h*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(w) = -2*w - 3. Let i be g(-2). Let u be i\/(-3)*(-10 + -2). Suppose -u*f + 1 = -7. Sort 0, 1, f in decreasing order.\nAnswer: f, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose v = -4*v + 25. Let j(k) = k - 3. Let y(x) = 2*x - 5. Let b(o) = v*j(o) - 3*y(o). Let w(q) = 0*q**2 - q**2 + 2*q**2. Give b(w(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 945 and 665?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 97.3 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 714 and 36804?\nAnswer: 4379676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let g(c) = -36*c + 2. What is the units digit of g(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 6*(-2 + (-10)\/(-3)). Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-5)\/(-2) + 1\/(-2). Suppose 4*h - 4 = -2*m, -3*m - o*m + h = -54. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 2*f**4 + 0*f**4 + 462262*f**2 - 462261*f**2 - 18*f - 2*f**3 + 2 to w*f**2 + l*f**3 + d*f + q*f**4 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -2 - -4. Let z be (-18)\/(-4) + k\/(-4). Suppose z*w + 24 = 4*j, j + 2*w + w = 10. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (20 - 25)\/((-10)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3 - 9 = 2*u. Let f be (-1 + (-8)\/(-12))*u*6. Factor 6*w**2 - f - 3*w**2 + 53*w - 105*w + 49*w.\nAnswer: 3*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify h\/(h*(h\/(h\/h**(1\/13)))\/h)*(h\/(h*h\/(h\/(h\/(h\/h**(-5))))))\/h*h**(-3\/7)\/(h*h\/(h\/((h\/((h\/(((h**(-2)*h)\/h)\/h)*h)\/h))\/h))) assuming h is positive.\nAnswer: h**(682\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ath term of -127, -240, -355, -472, -591, -712?\n\"Answer: -a**2 - 110*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let k(r) = -r**3 + 11*r**2 - 2. Let d be k(11). Sort -5, 28, d, 3 in increasing order.\nAnswer: -5, d, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d be 158 - -4 - 40\/8. Is d bigger than 155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 63611 divided by -1?\nAnswer: -63611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let m(d) = -16*d - 38. Let j be m(-11). What is the greatest common divisor of 322 and j?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -1 + 0. Let g be 9\/(-12) - (-45)\/(-20). Let u = g - p. Is u bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 f and 1 u when three letters picked without replacement from ffuufu.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let t be 0 - 9\/(-5 - -2). Let l be t\/(-2)*(-496)\/(-12). Let m = 97 + l. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is (-9)\/21 - (-23708)\/(-14)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between -12474 and 0.02?\nAnswer: 12474.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -189, -382, -577, -774, -973, -1174, -1377?\nAnswer: -1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the ninth root of 2319 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -7\/16 and -31\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Express -819648 - 3599*t + 819648 as y + g*t and give g.\nAnswer: -3599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 644 and 276.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -58 = -3*t + 2*d, 32*t = 34*t - 2*d - 40. Solve 19 = -t*r - 35 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 251 minutes after 8:43 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let r(j) = 572*j - 2053. Does 20 divide r(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*g**3\/5 - 621*g**2\/5 + 3819*g\/5 - 639 = 0.\nAnswer: -213, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 1152, 1137, 1124, 1113, 1104, 1097?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 30757 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Expand (9*s - 6*s**3 - 9*s)*(2 - 1 - 3 + (6 - 4 + 0)*(1 + 3 - 2)).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 21794*h - 7039*h + 7549*h + 13392*h + 29038*h.\nAnswer: 64734*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve -60*t + 2\/9*t**2 + 538\/9 = 0.\nAnswer: 1, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 7 + 8 = 5*q. Suppose -4*z = 4*f - 1612, 4*z - 2*z - 398 = -f. Suppose 4*m - f = -5*r, q*m - r + 1 = 288. List the prime factors of m.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 2831 + -67919\/24. Find the common denominator of x and (-64)\/10*(-5)\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 36 = 3*o - 4*l, -2*o - 4*l = 3*o - 92. What is the remainder when 57 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out 165 + 5575946913.\nAnswer: 5575947078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 66 - 58. Which is the second smallest value? (a) 0.1 (b) g (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 353 minutes before 4:13 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: (67 - 12)\/((-120)\/(-20) - 5)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of -178, -340, -500, -658, -814, -968, -1120?\n\"Answer: m**2 - 165*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let n(p) = -p**2 - 3*p + 6. Suppose 0 = 2*z + 10. Give n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(y) = y**2 - 5*y + 5. Suppose -2*a + 15 = a. Suppose -l = -5*i, 29 = a*l - i + 5. Determine d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the eighth root of 10470704 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 44 + 0.854.\nAnswer: 44.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Sort -67.2, 5, 2, -1 in decreasing order.\nAnswer: 5, 2, -1, -67.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 10406 and 29282.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 1901236772 to the power of 1\/3, to the nearest integer?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 13601670.\nAnswer: 2, 3, 5, 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-7)\/(455\/10)*-13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let x(s) = -s**3 + 17*s**2 - 28*s - 20. Let o be x(15). Suppose -4*b = 6*b + o. What is the nearest to b in -1\/2, 2, 3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 62 minutes before 9:11 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 3 - 137?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let x be ((-6813)\/(-12))\/((-381)\/(-2032)). Which is bigger: x or 3029?\nAnswer: 3029","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -12 = -4*h + 4, 0 = 2*r - 3*h + 6. Suppose 9 = -2*c + 47. Suppose 2*s - c - 5 = 0. Solve -r*l = l - s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 503*t - 4058*t + 3556*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Round -5.762 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Sort -51, 3, -1, 58, 8.\nAnswer: -51, -1, 3, 8, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 8 - (0 - (-24 - -8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) -3 (b) -18\/7 (c) 0.5 (d) -2 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Convert 7.03273 meters to micrometers.\nAnswer: 7032730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -4 - -4. Let g = -47\/12 - -14\/3. Which is the nearest to j? (a) g (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 408879 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: Let g be (6 + -4)\/(((-4)\/10)\/(-2)). Let q be (2 + (-25)\/g)*-10. Let s = 23 + q. Calculate the highest common factor of 8 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(z) be the second derivative of -3*z**8\/2240 + z**7\/504 - z**4 - 6*z. Let n(m) be the third derivative of b(m). Find the third derivative of n(d) wrt d.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 0 bigger than -48\/469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -154 or -446?\nAnswer: -446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let r(l) = 7*l**2 - l. Let h(u) = -8*u**2 + u. Calculate -3*h(c) - 4*r(c).\nAnswer: -4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*t - 4821*o = -4823*o + 20, -2*t = -4*o + 16 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 19389295?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -286957631\/556 + 516111. Calculate the common denominator of z and -1\/14.\nAnswer: 3892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 27710 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let z(h) = 1. Let o(u) = -4*u**2 + 2*u - 7. What is o(a) + 6*z(a)?\nAnswer: -4*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (-4)\/(-2) - -25 - 3. Suppose 0*u - u + m = 0. Calculate the remainder when 93 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(z) = 12*z + 88. Let r(q) = -23*q - 177. Let d(y) = -7*f(y) - 3*r(y). Let n be d(-6). Solve 0 = -3*a - 3*c - 3, -3 - 8 = n*a + 2*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(t) = 1151*t**3 - 7*t + 5 - 1152*t**3 - 7*t**2 + 11*t + 8*t. Give r(-8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -5 divided by -31928.\nAnswer: 5\/31928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 11*a - 5*a - 13*a + 3*a + 7*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is 9257417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 12:11 PM and 11:43 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*t + 4*h + 36 = 2*t, t - h + 18 = 0. Let r be (-8 - 10)*8\/(-6). Let w = r + t. Solve -k = -w*k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 21 + -17. Let n be 4\/i - 5 - -11. Solve 2*z + 5 = r + 6*z, n = -r + 2*z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert -ca9e (base 15) to base 10.\nAnswer: -42899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let q(v) = -7095*v**3 - 10*v**2 + 12*v + 190. Let a(y) = y**3 - 4*y**2 + 3*y + 1. Let k(w) = 4*a(w) - q(w). What is the third derivative of k(o) wrt o?\nAnswer: 42594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 6788218 is divided by 41.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -7*2\/8*(-39)\/(-273)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 9 - 9. Suppose -2*v + 5*m = y, -v + 0*m + 2*m = 0. What is the second derivative of -u + 6*u**4 + v*u**4 - 2*u**4 + 0*u wrt u?\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 1 + (-17595)\/596 - -2. Let u = x - 34\/149. Let c = -27 - u. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 42 - 13. Let q = d - -70. Let m = 98.953 - q. Round m to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (-182)\/4 + 5\/10. Calculate the remainder when 37 is divided by (i + -3)\/(-3) - -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-22135)\/342*3*8\/80 + 19?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: (3\/(15\/2))\/(354\/(-3540))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -102562395*q**3 + 2*q**2 + 124463965*q - 2?\nAnswer: -615374370*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (3 + (sqrt(2448) + 2*sqrt(2448) + sqrt(2448) + sqrt(2448) + sqrt(2448))*-1)**2 + (sqrt(204)\/(sqrt(120)\/sqrt(10)) - (sqrt(17) - (1 + sqrt(612)))).\nAnswer: -426*sqrt(17) + 88138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 74 + -546. Let z = 475 + y. Determine i so that 0 - 3\/4*i**5 + 0*i - 3\/4*i**2 - 9\/4*i**z - 9\/4*i**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 22482, 172168, 578462, 1369668, 2674090, 4620032, 7335798?\nAnswer: 10949692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Determine j so that -j**2\/5 - 4424*j\/5 - 4892944\/5 = 0.\nAnswer: -2212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let l(r) = r + 1. Let a(c) = 2*c. Let b(s) = a(s) - 5*l(s). Let j be b(-4). Let o(d) = d**2 - 9*d + 11. Let f be o(j). Sort 2, -1, f in decreasing order.\nAnswer: 2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 3959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -4 or -86\/17?\nAnswer: -86\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 2\/5? (a) -131 (b) 1\/3 (c) -0.24 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-5*(-3 + 2*(sqrt(931)*-2 + sqrt(931)))*5)**2.\nAnswer: 52500*sqrt(19) + 2333125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (-10)\/5 + (-1)\/1*-7. Put u, 0.4, -4, -1\/2 in descending order.\nAnswer: u, 0.4, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -6007.23 to the nearest ten.\nAnswer: -6010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -12 + 11. Is q at most as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1778 = -4*o - d + 1797, -3*o + 2*d = -17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-13)\/13)\/((-13)\/(-2)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let p be ((-46)\/6)\/(5\/(-45)) - 4. What is the greatest common divisor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 5 - 3 - 13 + 11 - 251*f**3.\nAnswer: -251*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let o(c) be the first derivative of -c**3\/3 - 12*c**2 + 377*c + 199. What is the remainder when o(-32) is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 0 - -2. Let x(l) = l + 5. Let v(t) = 2*t + 11. Let m(i) = -6*v(i) + 13*x(i). Determine m(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is -1103022 - -3?\nAnswer: -1103019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let x(s) = 2*s**2 + 34*s - 44. What is x(-19)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let i(f) be the second derivative of -f**6\/160 + 3*f**5\/80 - f**3\/2 - f**2 - 6*f. Let o(k) be the first derivative of i(k). Suppose o(x) = 0. What is x?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is n in 2*n**2 + 114793640*n + 1647197473056200 = 0?\nAnswer: -28698410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -79\/1416 and 137\/24?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let g(x) be the first derivative of -2\/7*x - 1\/3*x**3 - 9\/14*x**2 + 6. Let g(v) = 0. Calculate v.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (((-2)\/(-64))\/(17\/17))\/(2357\/28284)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(l) = -l**2 + 6*l - 3. Let p be y(7). Suppose 67*k - 274 = -6. Put k, -4, p in decreasing order.\nAnswer: k, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 95744 is divided by 31886.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -14*g - 67*g - 264*g + 450*g.\nAnswer: 105*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 238\/42 - 1\/(-3). Solve -z - y = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 25999.38567 - 25999. Round w to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(k) = 35*k - 4372. What is the smallest common multiple of 177 and n(125)?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 4*g**3 - 7608*g**2 - 515196*g - 8572608.\nAnswer: 4*(g - 1968)*(g + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let f(t) = 144*t**3 - 45*t - 45. Let q(u) = 13*u**3 + 2*u + 221 + 219 + 219 - 663 - 6*u. Calculate -4*f(m) + 45*q(m).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Factor 14*k - 36*k + 26*k + 8 - 4*k**2.\nAnswer: -4*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -17847*g = -17861*g + 16479400. Round g to the nearest ten thousand.\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*g = 8, 6*l + 2*g + 16 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of 44, 85, 130, 161, 160, 109, -10?\n\"Answer: -3*f**3 + 20*f**2 + 2*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: How many grams are there in 0.1832791 nanograms?\nAnswer: 0.0000000001832791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -2fbe + -3?\nAnswer: -2fc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 0.096 + -3242.096. Let x = 3251.158 + r. Let s = x - 9. What is s rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is -12a63200 + 3?\nAnswer: -12a631b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 73 + -75. Is i not equal to -20\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 1361, 1319, 1277, 1235, 1193?\nAnswer: 1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let f(v) = -22*v + 206. Determine f(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is (-294)\/7*(-2)\/(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve 34*f - 35*f = -4*h + 1, 2*f = h - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let z(d) = -316*d + 6841. Give z(25).\nAnswer: -1059","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Express (392 - 392 + 26*z**3)*(-2 - z + 0 - z) in the form t*z**4 + u + l*z**2 + d*z**3 + a*z and give t.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -3433*s*z**2 - 520*z**2 wrt s?\nAnswer: -3433*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: 0.19 times 709\nAnswer: 134.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -14 - -17. Let t be (-2)\/(-3) - 3\/g. Let i = 0.27 - -0.73. What is the second biggest value in t, i, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 18\/4*(14\/3)\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*y - 2 - 4*y + 5*y)*((y + 2*y + 0*y)*(-3*y - 4*y + 6*y) + y**2 - 3*y**2 + 0*y**2).\nAnswer: 5*y**3 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -778 - -589.96. Round x to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -9 + 17 - (64 - 85)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 20*8\/60*6. Let d(m) = -m**2 + 47. Let v be d(0). Suppose 3*n = v + x. What is the remainder when n is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(v) = -9737*v + 8173. What is the thousands digit of g(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0 + 0 - 1)*(33 - 12*n + 36 - 71 + (1 + 0 - 3)*(1 - 1 + 2*n)).\nAnswer: 16*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let l(a) = 0*a + a + 2 - a**2 + 0. Suppose 1575*q = 1571*q - 4. Let j(g) = g**2 - 2*g - 4. Let k(n) = q*j(n) - 2*l(n). Let u(h) = -3*h + 6. Determine k(u(r)).\nAnswer: 9*r**2 - 36*r + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from nnoncoonnovoxo. What is prob of sequence noxo?\nAnswer: 25\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 52*v - 41*v - 38*v - 31*v + 49 wrt v.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -44\/21 + 10\/7. Let m = 12 + -11.8. Which is the closest to m? (a) t (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of -56122, -112244, -168366, -224488, -280610?\n\"Answer: -56122*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 5719, 13535, 21351?\nAnswer: 29167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b(g) = 2*g**2 + 38*g + 70. Let a be b(-17). Let t(y) = y**3 - 10*y + 1 + 2*y - 17*y**a + 2 + 12*y**2. Determine t(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -38\/7 + 121\/21. Let u = -7 + 6.7. Sort u, r, 0 in decreasing order.\nAnswer: r, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:06 AM and 4:00 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {e: 5}. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: -2734 times 0.4\nAnswer: -1093.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of -4435, -18004, -40617, -72274, -112975, -162720, -221509?\n\"Answer: -4522*w**2 - 3*w + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 1\/(-2) + 203\/2. Let s = -102 + y. Let t(i) = 24*i**3 + 2*i**2 + 2*i + 1. Give t(s).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many grams are there in 49\/4 of a kilogram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -133, -434, -745, -1066, -1397?\nAnswer: -1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = x - 2*x + 4*q + 304, 3*x + 5*q = 844. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-96)\/(-2760)*((-15)\/6)\/1.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -32.8 + 33. What is the closest to 0.1 in a, -2\/7, -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 2 - -2*1*1. Let l = -1 - -2. Solve -5*o = -l - q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: (((-24)\/21)\/(-2)*(-1407)\/2010)\/(12\/2)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Sort 43, -2, 1 in decreasing order.\nAnswer: 43, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (-29 + 14)\/((-2)\/6). Calculate the remainder when 4\/(-10) + (3618\/y - -7) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -15*z**3 - 15*z**3 - 44*z**2 - 6*z**3 + 48*z**3 wrt z.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n be ((21\/8)\/(-21) + -1)\/(3\/(-4)). Let l(h) be the first derivative of 3*h**4 + n*h**2 - 6\/5*h**5 - 24 - 10\/3*h**3 + 0*h + 1\/6*h**6. Factor l(j).\nAnswer: j*(j - 3)*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*y + 0 = -3*d + 14, 10*d - 80 = -4*y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -9 - -26. Let d be 50\/4 + 2\/4. Suppose 3*z - 2*z = -2*s - 3, 6 = 2*s - 2*z. Solve -4*u - h - d = s, 0*h - v = -4*u + 5*h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 550 and 134410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 24 + -18. Let s be 3\/9*x + 126. What is the tens digit of ((-30)\/(-8))\/(24\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -25*z - 1888*z**3 + z**4 - 3*z**2 + 1888*z**3 to r*z**4 + d*z**3 + t*z + v*z**2 + k and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(81)\/((-1*sqrt(24))\/sqrt(8)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let r(c) = 1. Let i(v) = 3*v - 3. Let g(q) = -i(q) - r(q). Suppose w - 2*f - 2 = 0, -5*f = -0*f. Let n(s) = -10*s + 5. Let b(h) = w*n(h) - 7*g(h). What is b(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (u**(10\/11)*u\/(u**3\/u))\/(u**(1\/47)\/((u*u**(4\/21))\/u)) assuming u is positive.\nAnswer: u**(850\/10857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 10:48 PM and 1:28 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*v + 11 = 4*l, -3*l + 11 + 4 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let a(i) = i + 3. Let g be a(-5). Let w be g + (3 - 1) + (-1)\/(-1). Put 0, -1, 3, w in ascending order.\nAnswer: -1, 0, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {b: 3, x: 3}. What is prob of picking 2 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Expand 2*t**3 - 5*t**3 + t**3 + (2*t**3 - 2*t**3 - 2*t**3)*(2 + 1 - 1) + t**3 - t**2 + t**2 + (t**2 - 2*t**2 + 3*t**2)*(t + 3 - 3).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Divide 28304727 by 33.\nAnswer: 857719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -13 + 22. Let d(g) = g**2 - 5*g - 12. Let i be d(9). Suppose -3*b = -3 - i. What is the greatest common divisor of b and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 40174 is divided by 19284.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Product of 135.26 and 0.3.\nAnswer: 40.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve -a**2\/3 - 416*a\/3 - 43264\/3 = 0 for a.\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of -47, -177, -393, -695, -1083, -1557?\n\"Answer: -43*f**2 - f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 17187403675 + 44*u**2 - 45*u**2 - 17187403675.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let o(f) be the third derivative of f**4\/12 + f**3\/2 + f**2. Let p(s) = 2*s**2 - 14*s + 19. Let a be p(8). Suppose -5 + a = -6*z. Calculate o(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 7821544.416 rounded to the nearest 100000?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let s(x) = 3*x**3 + 2*x**2 - 4*x + 3. Let h be s(1). Suppose -4*m + 2*u = 21 - 79, -h*u = 2*m - 44. Solve 4*t + m = -0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in 19, -0.2, 0.1, 0, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is -17 (base 12) in base 3?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let v(g) = -g**3 + 251*g - 89. What is v(-16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 0.06 + 0.04. Let f = -1.2 + j. Let t = f - -1.09997. Round t to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -247*g - 216*g + 15780 = 63*g for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let -5*r**5 + 40*r**4 - 10*r**3 - 160*r**2 - 105*r = 0. What is r?\nAnswer: -1, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 8075c + 1d?\nAnswer: 80779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 392 and 28616.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1349173 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -0.02 or -4878164?\nAnswer: -4878164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is (-23574)\/(-21) + 30\/21 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(n) be the second derivative of 11*n**4\/4 + 8*n**3\/3 + 57*n**2\/2 - 6*n. Is l(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 3706.87483 - 3707. Let v = b - -0.124. Round v to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1536406 is divided by 209.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: 4\/(2*8\/16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1.7 + -1261750.\nAnswer: -1261748.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -0.5 + 1057016427.9.\nAnswer: 1057016427.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is g in g**5 + 8*g**4 + 24*g**3 + 34*g**2 + 23*g + 6 = 0?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((d\/d**(-5))**(-5))**(-18)\/((d**(5\/2)*d*d**(-2))\/((d*d*((d**1\/d)\/d*d)\/d)\/d**(-2))) assuming d is positive.\nAnswer: d**(1083\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Convert a1d (base 14) to base 15.\nAnswer: 8c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 1584283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Sort 111, 0, -3, 62.\nAnswer: -3, 0, 62, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -13, 4, 47, 128, 259?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 s and 2 d when three letters picked without replacement from srnkrsrdd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} -{"text":"Question: Let c = 368 - 381. Let o(s) be the third derivative of -376919*s**4\/24 + 53*s**3\/6 - 7*s**2. Let i be o(c). What is i rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -30794*v + 515 + 15430*v - 4883 + 4*v**2 + 15408*v = 0. What is v?\nAnswer: -39, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 14*d**4 - d**3 - 3*d**2 + 2570*d + 1479514 wrt d.\nAnswer: 56*d**3 - 3*d**2 - 6*d + 2570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is (126 - 133)\/(14\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let c be 15\/(-6)*(1 + -3). Let u(j) = -13 - j**3 + 3*j**3 + 10*j - 9*j + c*j**2. What are the prime factors of u(3)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 7 divide 37318949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*u + 154 = 368 - 150 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*n + 6*n = -116. Let b = n + 156. What is the greatest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 0.2508252mg to micrograms.\nAnswer: 250.8252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let s(w) = 7*w**3 + 116*w**2 - 50*w + 8. Determine s(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is 1501 - 5?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 4018 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 788 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let b(w) = -17*w + 5. Let z(y) = -4*y**2 - 3*y + 1. Let o be z(1). Let j be b(o). Let k = j - 22. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in -1087, 1\/4, 0.7, 12?\nAnswer: -1087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 116, 100, 68, 14, -68, -184, -340, -542?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Sort 3, -590\/33, -1 in decreasing order.\nAnswer: 3, -1, -590\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -25487 + 25493. Solve w - 4*i = o, -16*w + i = -15*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -76 and 5?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (2\/2 - 2)*-1. Suppose -100*p = -85*p - 30. Let n be 26 + (-2 - p) + 3. Which is greater: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((f\/(f\/f**(-3)))**(-40)*(f*f\/(f\/((f**(-1\/17)*f)\/f)))\/f*(f*f*f\/(f*f**9))\/f)**(2\/33) assuming f is positive.\nAnswer: f**(346\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Factor 39*i**4 - 6902*i**3 - 177*i**2.\nAnswer: i**2*(i - 177)*(39*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {e: 5, f: 4, y: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -2\/5? (a) -0.8 (b) 2 (c) 0.328 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -0.01? (a) -0.09 (b) 16\/21 (c) 10\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 628, 625, 622, 619, 616, 613?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is (3762\/2508)\/(6*5\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 229187, 458289, 687391, 916493?\nAnswer: 1145595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve 29*f + 20 = 107 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: 6*(-16)\/(576\/246)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -28 - -27. Let f = -1\/2 - h. Factor 1\/3 - f*c - 1\/6*c**4 + 1\/2*c**3 - 1\/6*c**2.\nAnswer: -(c - 2)*(c - 1)**2*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 3, -3, 52\/7, -2\/9.\nAnswer: -3, -2\/9, 3, 52\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of 522, 1056, 1590, 2124, 2658, 3192?\n\"Answer: 534*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve 15 = i + 3*t + t, -i - t = -6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Is 423 a factor of 86715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let w(s) = 907*s + 2766. Calculate w(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let b(w) = 608*w - 14. Let t be b(1). What is the highest common divisor of 8 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -1218 - -2225. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 21024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*c + 2 = 5*h + 22, -5*c - 3*h = 12. Suppose 23*w + 316 - 1351 = c. What is the greatest common factor of 180 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (-10)\/(-6) + (-4)\/6. Let t be 1\/((0 - y)\/25). What is the common denominator of -50\/11 and ((-61)\/t)\/((-2)\/(-5))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 6 + -1 - (12 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -2\/13 (c) -3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let a(n) = 2*n**2. Let w(t) = 10*t**2 - 20. Let p(h) = h**2 - 1. Let j(l) = -60*p(l) + 3*w(l). Give a(j(s)).\nAnswer: 1800*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 246591 is divided by 94.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 4.1 + -4.4. Suppose -20 = -5*k + b, 4*k - 4*b + 25 = 5*k. What is the nearest to 2\/7 in 0.1, z, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -18 - (2 - 7) - (11 + -20) - 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is -11010202 (base 3) in base 16?\nAnswer: -bc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Sort 2\/3, 51370, -1, -0.2, -1\/77 in decreasing order.\nAnswer: 51370, 2\/3, -1\/77, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 237966*y**5 - y**4 - 2*y**2 - 6978668*y?\nAnswer: 4759320*y**3 - 12*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((d*(d**(-9\/4)*d*d)\/d*d)\/d**(-2\/47))\/(d*d**(-1))**(1\/61))**(-24) assuming d is positive.\nAnswer: d**(-894\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 11249, 21421, 31593, 41765, 51937?\nAnswer: 62109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -375*a**2*h**3 + 19*a*h**3 + 2*h**3 - 44*h - 2 wrt a.\nAnswer: -750*a*h**3 + 19*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is -3086839 divided by 3086839?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is -2\/26854409 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) 0 (b) -2 (c) 0.14 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 265385235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Put -5, -92, 2, 1 in decreasing order.\nAnswer: 2, 1, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-1 - 1 + 2*l - 1)*(4 - 2 + 3)*(0 + 3 - 4).\nAnswer: -10*l + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 7*n = 9*n. Suppose 3*s + 34 = 4*i, 2*s - 5*i = -s - 32. Let l = s - -18. Solve -4*m - 2*r = l, 5*m + 0*r - 4*r + 5 = n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 31193, -0.2, -15, 3 in ascending order.\nAnswer: -15, -0.2, 3, 31193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let c(a) = 3*a + 15. Let d be c(-6). Is 7 a factor of d + 5 - (-3 + -14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -441918, -1767682, -3977290, -7070742, -11048038?\nAnswer: -15909178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Sort 4, 2, 216 in increasing order.\nAnswer: 2, 4, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 765339147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*k + o - 42 = 0, -3523*k - 6 = -3522*k + 5*o for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Is 108 a factor of 1262136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 0.2 or -1.826294?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose v - 1791 = 1681. Suppose 5*f - 3*t - 15 = 0, 4*f - 7*f + t = -9. Suppose 2*x - v = -2*x - 3*h, x = f*h + 853. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 6573, 38129, 123781, 290577, 565565, 975793, 1548309?\nAnswer: 2310161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -1 + 0 + -1 + -2 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) -9 (b) -1 (c) -0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 2*z**5 + 5*z**2 + 4*z**5 + 0*z**5 wrt z?\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(f) = -2*f. Let z(d) = -d - 26. Give q(z(i)).\nAnswer: 2*i + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -4*sqrt(6)\/sqrt(2) + -3*sqrt(3)*2.\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -1 or -12\/3713?\nAnswer: -12\/3713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -2549.18 - -96.8072.\nAnswer: -2452.3728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 176 and 128592.\nAnswer: 1414512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -9321*g**3*l**3 + 11*g**3*l + 2*g**2*l + g*l + 2*l**3 + 3*l wrt l?\nAnswer: -55926*g**3*l + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the billions digit of 4996547012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 785 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 958 + 0.15?\nAnswer: 958.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve -b + 10342 - 10315 = -4*i, -4*i + 48 = 4*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 4*l**4*v - 70*l**4 - 1139*l**3 + 515*l**2*v + 2*l*v + 2*v + 574 wrt l.\nAnswer: 96*l*v - 1680*l - 6834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 1423\/3 or 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*b + 7*b + 0*b + (3 - 1 - 1)*(-2*b + 2*b + b))*(b - 5 - 3*b + 3).\nAnswer: -12*b**2 - 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is 54375810 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 25448 - 23402. Calculate the least common multiple of m and 8.\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -1*((0 + sqrt(72))**2 - -2*(sqrt(2) + -1)) + -2.\nAnswer: -72 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*l + 5*v - 34 = 0, -4*l + 20 + 2 = -5*v. Suppose 27 = x + l. Solve 27 = -2*r + x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of 9033, 17736, 26427, 35100, 43749, 52368, 60951, 69492?\n\"Answer: -r**3 + 8710*r + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -3 + 2*(2 + sqrt(180))**2 + sqrt(180).\nAnswer: 54*sqrt(5) + 365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -9 - 3 = 4*r. Let u = -3 - 0. Let z = u - r. Solve z = j + j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(z) = 6*z**2 - 24*z + 10. Let o(v) = -v**2 + 5*v - 2. Let n(g) = -2*c(g) - 11*o(g). Let k be n(-7). Suppose 2*y = -k*y + 68. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 2268427 - 47*y**2 - 2268427.\nAnswer: -47*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from eeefmnnexeafeea.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of 4863, 4979, 5113, 5265, 5435, 5623, 5829?\n\"Answer: 9*u**2 + 89*u + 4765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 3760\/1250 - 4 - -1. Is m <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(a) = -9*a**2 + 2*a + 1. Let v be p(-1). Let b(z) = -30*z - 8. Let i be b(v). Suppose -5 = 7*k - i. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -4*v + 2*v**3 - 26*v**2 + 3*v - 20 + 20*v**2 in the form l*v + i + w*v**3 + d*v**2 and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Expand (y**2 + 5*y - 5*y)*((1700*y + 94*y**2 - 1700*y)*(0 + y + 0) + 3*y**3 - 1 + 1) - y**5 - 2*y**5 + 5*y**5.\nAnswer: 99*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -s**2 - 3*s**2 - s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 2 + 0. Let q(h) be the second derivative of 0*h**n - 1\/12*h**3 + 0 + 3*h - 1\/40*h**5 + 1\/12*h**4. Factor q(b).\nAnswer: -b*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 89.85888ml to litres.\nAnswer: 0.08985888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 103 + -6. Does 25 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*w + 40 = -0*w - 10*j, -w + 3*j = -6 - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 11\/11 + 2 + 0. Let v(z) = -13 + 27*z + 27*z - 2 - 44*z. What is the tens digit of v(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(g) = g**2 - 11*g + 35. What is p(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(180)\/sqrt(4) - (1*sqrt(45))\/sqrt(9))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Divide 0 by -84.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Put -4, -0.09, -2\/5, 2\/13 in increasing order.\nAnswer: -4, -2\/5, -0.09, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when (40\/(-6))\/((-8)\/36) is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(i) = i. Suppose -2*u + u + 7 = 0. Let y be (1 - (-3 + u)) + 6. Let v be b(y). Solve -2*g = -0*k - 2*k + 2, 5*k - 13 = -v*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: -195 times -0.2771\nAnswer: 54.0345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2401352 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in 425\/3696, -9, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let j(q) = q**3 + 305*q**2 - 635*q - 6635. What is j(-307)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 74735863?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: 1560 divided by -780\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((sqrt(90)*2 + sqrt(90))\/sqrt(2))\/(-5*sqrt(36)\/sqrt(4)))**2 + ((sqrt(40)\/sqrt(2) + sqrt(20))\/sqrt(4) - -6*sqrt(30)\/sqrt(6)).\nAnswer: 9\/5 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is -378.023322 rounded to two decimal places?\nAnswer: -378.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 3, -0.5, -782, -721?\nAnswer: -782","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 19*g + 96 = 58. Let k(d) = 4*d - 11. Let x(y) = y - 1. Calculate g*x(w) + k(w).\nAnswer: 2*w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 0.55 - 0.25. Which is the closest to -3? (a) 1 (b) t (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify g**(-1\/18)*g**(1\/10)*g**12\/(g*(g\/g**(1\/3))\/g) assuming g is positive.\nAnswer: g**(512\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -416717705*y + 153920649?\nAnswer: -416717705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let r(c) = -c**2 - 14*c - 3. Let n be (-165)\/12 + 3\/(-12). Let h be r(n). Let f(p) = p + 6. Give f(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1310?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {z: 4, d: 6}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -65.5 - -65. Which is the biggest value? (a) 3\/5 (b) 0.2 (c) -4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -2.1 - -2.09788. What is j rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*r + 24 = 4*r. Let f(t) = 15*t - 5*t - r*t - 7. Calculate f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 146 = -r - 5*z + 349, -2*r - 3*z = -420. What is the remainder when r is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let -2*g**3\/5 + 8*g**2\/5 - 6*g\/5 = 0. What is g?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 2*(-10)\/((-14)\/7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is -1.8978 rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-1 - 4) + 2 + 0 - 4) + -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 26736389?\nAnswer: 1051, 25439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 5 - (-5 + -2 - -14) - (46 - 36)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*r + 25 - 115 = 0. Let k be (8\/6)\/((-10)\/r). Let d be ((-3)\/k)\/((-1)\/(-4)). Solve 2*u + d = -j - 0, 0 = 5*u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 27768 divided by 6\nAnswer: 4628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 14435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is 1011321 (base 5) in base 9?\nAnswer: 24520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.00003985596 rounded to 7 decimal places?\nAnswer: -0.0000399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(567)*2*3*3 + -2 + 0 + sqrt(567) + 1*sqrt(567) + 5)**2.\nAnswer: 1080*sqrt(7) + 226809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let p(j) = -9 - 8 + 5 + 11*j - j**2. List the prime factors of p(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be 3 - (-23)\/(-5) - 10\/25. Sort -1, o, -5, -3 in increasing order.\nAnswer: -5, -3, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 593328 is divided by 11407?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 2508980 and 8780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of -514, -1957, -4366, -7741, -12082, -17389, -23662?\n\"Answer: -483*k**2 + 6*k - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let j(v) = -9*v + 196. Let y be j(18). Let m be 1 + -4 - 1094\/(-2). Calculate the highest common divisor of y and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0.2? (a) -0.2 (b) 6 (c) -2 (d) -11233 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*x = 3*x + i + 83, -x - 2*i = -95. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1421?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 196\/252 - ((-80)\/36 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 10*f + 35850 = 15*f. Suppose 4*u = 19*u - f. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: -3.3513+82.4554\nAnswer: 79.1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 34? (a) -242 (b) -0.07 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 10006*y - 10009*y - 3 + 6.\nAnswer: -3*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -270782*r**4 - 26057*r**2 + 2*r - 1 wrt r?\nAnswer: -6498768*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let d(l) = l**3 + 2*l**2 - 2*l + 2. Let z be d(-3). Let x be z + -1 + (-21)\/(-12). Which is the nearest to x? (a) 0.5 (b) -3\/7 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 49330.\nAnswer: 2, 5, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -39*j - 5655000 = -52*j. Round j to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*n - 24 = -2*n. Solve 4*t + n = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((v\/(v**(-1)\/v))\/v)**(-12\/5))**(-11\/3)\/((v\/(v**(1\/3)\/v))**(-2\/5)\/((v*v\/((v\/(v*v**1))\/v)*v)\/v**4)) assuming v is positive.\nAnswer: v**(289\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let x(f) = -14*f**2 + 7*f + 67. Let l(o) = 6*o**2 - 3*o - 27. Let g(p) = 5*l(p) + 2*x(p). Let t(q) = -8*q**2 + 3*q + 3. Give 9*g(w) + 2*t(w).\nAnswer: 2*w**2 - 3*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {l: 10, n: 1, o: 8}. What is prob of picking 2 o?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Convert 3619.572mm to kilometers.\nAnswer: 0.003619572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of 29, 140, 333, 614, 989, 1464, 2045, 2738?\n\"Answer: i**3 + 35*i**2 - i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -0.3 + 0.2. Let g = -25 - -23. Which is smaller: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(i) = i**2 - 3*i + 1. Let u(l) = 5*l - 70 - 69 + 137 - l**2. Determine -6*u(v) - 10*x(v).\nAnswer: -4*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Sort -55, -2\/21, -931.2 in decreasing order.\nAnswer: -2\/21, -55, -931.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let s(h) = -17*h + 1. Let m(r) = -11*r - 16. Let y(k) = 7*k + 10. Let q(z) = 5*m(z) + 8*y(z). Let a(f) = 6*q(f) + s(f). Give a(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0 in -23, -3, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in -0.0253, -3, 44\/21?\nAnswer: 44\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {z: 2, w: 5, t: 10, m: 3}. What is prob of picking 1 z and 3 w?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 0 - (2 + -2) - 1 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let x(o) = -3*o + 2*o + 4*o. Let v(d) be the second derivative of 11*d**4\/4 + 6979*d. Determine v(x(u)).\nAnswer: 297*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let j(o) = 0*o**2 - 5*o - o**2 + 4*o - o + 24. Let l be j(-6). Which is bigger: 1\/7 or l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 6 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 363 + -350. Suppose -8*t + 5 = -c*t - 4*j, t + j = -2. Solve 0*o + t*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 3 + -2 + 45 + (-75 - (-126 - -52)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 11005 + -11005.000005187. What is r rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(r) = 52*r - 1281. Let o be l(25). Solve -3*b - o = 5*z, b - 2 = 4*z + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 104530?\nAnswer: 2, 5, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*r - 2*v + 34 = 0, -3*r - 40 = 3*v - 28. Let h(a) = 393*a**2 + a - 13. Is h(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: 255c (base 15) to base 10\nAnswer: 7962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 11*i**4 + 1103645*i**3 + 126*i**2 + 442*i - 25 wrt i.\nAnswer: 264*i + 6621870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -11*a**3 + a**2 - 4*a**3 - 9*a**2 - 10*a**2 wrt a?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -3*r - 5*y + 4*y + 28, 3*r + 2*y = 32. Solve -2*s = -g - 2, -4*s = -3*g - r*s + 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 1\/758 or 1?\nAnswer: 1\/758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is 11 (base 5) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Sort -0.2, -5, 4\/5, 47, 26, -1\/4.\nAnswer: -5, -1\/4, -0.2, 4\/5, 26, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 48*n - 45*n = -2*i - 9, -14 = -n + 5*i. Which is the second smallest value? (a) 1\/41 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-22)\/(2310\/(-75)) + ((-132)\/(-21) - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -0.4 + 3.4. Let o = 3 - h. Put 2, o, -1 in decreasing order.\nAnswer: 2, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 0*o**3 - 2*o**3 + 2*o**4 - 5*o**3 + (11*o**4 - 29*o**4 - 21*o**4)*(-1 + 1 - 1)*(1 - 3 + 0).\nAnswer: -76*o**4 - 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 3 - -8. Let z be (39\/4)\/1 + (-28)\/(-112). Calculate the least common multiple of 12 and (z\/(-8))\/(y\/(-88)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 5? (a) -0.04 (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose g**4\/6 - 14*g**3\/3 + 25*g**2\/6 + 9*g = 0. Calculate g.\nAnswer: -1, 0, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -1.3 - -1.1. What is the closest to -2\/7 in g, 0, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many millimeters are there in 11039.76 kilometers?\nAnswer: 11039760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 207 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Is 59539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-h + 135 - 137 + 21*h)*(-2 + 0 + 0).\nAnswer: -40*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -0.6 or -12383?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth smallest value? (a) -5\/4 (b) -2\/3 (c) -115 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 18*c + 65 = 5*v, -2*c + 4*v - 5 = 3*c. Let l = 0.03 + 4.97. Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*l - 2*l = -10. Suppose 14 = 2*f + l*s, -s + 4 = 1. Suppose 5*t = -5*b + 20, 0*t = -2*b + t - 4. Solve -4*j - j = -3*n + 1, -f*n + 4*j - 4 = b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Total of -13202.7404584 and 0.0366.\nAnswer: -13202.7038584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is -25*13\/(-260)*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -0.0452+0.69622\nAnswer: 0.65102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Is 12589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Add together 603956.93825 and -0.3.\nAnswer: 603956.63825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -0.32 - -0.02. Let i be (8\/28)\/(3\/7). Which is the third biggest value? (a) 0.2 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 6 and 217.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let a(d) = -5*d**3 - 5*d**2 + 3*d + 4. Suppose 0 = -7*v + 9*v - 2. Let f(r) = -r**3 - r**2 + r + 1. Give v*a(x) - 3*f(x).\nAnswer: -2*x**3 - 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-171)\/114*(4\/(-3))\/(40\/180).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 560 minutes after 6:27 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 62592719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let w(o) = 251*o + 46219. Calculate w(-175).\nAnswer: 2294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is -52 (base 6) in base 16?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let u(d) = d**2 - 11*d - 8. Suppose -6*p = 3*n - 3*p - 48, 0 = -n + p + 10. What are the prime factors of u(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from ttnt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in 49\/12, 4, -9, 35, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let w(t) = 711*t**2 + 98*t - 148. Is w(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(10)\/sqrt(2) + 4)*5.\nAnswer: 5*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Find k such that 66631*k - 752*k**3 + 243 - 65146*k - 89*k**3 + 2001*k**2 = 0.\nAnswer: -9\/29, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (v + 2*v - 5*v)*(4*v**3 + 0*v**3 - 3*v**3) + 8664*v**4 - 847*v**4 - 2639*v**4 + 20615*v**4.\nAnswer: 25791*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let s(r) = -7*r**3 + 3*r**2 - 7*r + 4. Let u(p) = p**3 + p**2 + p + 2. Give s(o) - 2*u(o).\nAnswer: -9*o**3 + o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: 40888 divided by -10222\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let z(n) = -3. Let t(u) = -4. Let c(y) = -4*t(y) + 5*z(y). Let s(a) = -a + 6. Let f(v) = 6. Let x(k) = 3*f(k) - 2*s(k). Determine 5*c(j) - x(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -4 + 44 - (35 + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let g(i) = 5*i**3 - 3*i**2 + 3*i + 6. Let h(v) = 9*v**3 - 5*v**2 + 5*v + 13. What is 5*g(x) - 3*h(x)?\nAnswer: -2*x**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Simplify b\/((b*b**(-2\/45))\/b)*b**(2\/69) assuming b is positive.\nAnswer: b**(1111\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 2475168736 to the power of 1\/3, to the nearest integer?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Sort 5, 108, -0.3 in descending order.\nAnswer: 108, 5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is -4 divided by 110109986?\nAnswer: -2\/55054993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let j(u) = u**2 - 26*u - 47. Give j(14).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 3909812822?\nAnswer: 2, 1954906411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Is 1790 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let t(l) = -3*l. Let d(w) = 203*w**2 - w. Determine t(d(b)).\nAnswer: -609*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (1*(-6*sqrt(108)\/sqrt(12))\/(4*(sqrt(96) + (sqrt(96)*-1 - sqrt(96)))\/sqrt(8)))**2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 0.382 and -0.2?\nAnswer: -0.0764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -3\/110 - -229\/330. Which is the nearest to 1? (a) 4 (b) -1 (c) k (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 244 - 199 = -15*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Does 307 divide 12732437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is (-42)\/(-231)*-4*627\/(-76)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 16c1d1 (base 15) to base 7\nAnswer: 12245536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*a = -5*a - 4*k - 12, -4*a - 5*k - 15 = 0. Solve a*t + 8 = -4*t + 4*o, -2 = 5*t + 3*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 17538 (base 13) in base 16?\nAnswer: af20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 1199221, 1199220, 1199219, 1199218?\nAnswer: 1199217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let j(o) = -o**2 + 5*o + 3. What is the smallest common multiple of j(4) and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -8809 = -10*f - 9069 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Sort 9, 35, 3, -2, -187, -35 in increasing order.\nAnswer: -187, -35, -2, 3, 9, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 106, 636, 1496, 2668, 4134, 5876, 7876?\n\"Answer: -3*v**3 + 183*v**2 + 2*v - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve -38*g - 91*g + 6*g = 1476 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Put -82, 162, 0, 2 in ascending order.\nAnswer: -82, 0, 2, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred millions digit of 4936921246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let m(a) be the second derivative of a**5\/20 - 7*a**4\/12 + 5*a**3\/6 + 3*a**2\/2 - 2*a. Let s be m(6). Let x = s + 7. Solve k - x = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve o**2\/8 - 352935*o\/4 - 176468 = 0 for o.\nAnswer: -2, 705872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let p(g) = -g**3 - 10*g**2 - 5*g + 1. Calculate p(-9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 31683.777 rounded to the nearest integer?\nAnswer: 31684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*g = -2*q - 2*g + 26, 0 = -q + 3*g + 17. Calculate the lowest common multiple of 10 and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*g**5\/4 + 120815*g**4\/4 + 845505*g**3\/4 + 1086885*g**2\/4 - 1630665*g\/2 - 1630530 = 0 for g.\nAnswer: -24156, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*r = -10 - 2. Suppose 2*d = -2*a - 2, r*d + 12 = -4. Suppose a*p + 368 = 2*z - 0*p, 559 = 3*z - p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g be ((-116)\/203)\/((-2)\/(-14)). Let o be (4\/3)\/((-2)\/(-6)). Put o, -5, g in descending order.\nAnswer: o, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 46 divide 874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let v(s) = s**3 - 11*s**2 + 36*s - 53. Give v(10).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (((-90)\/10)\/(-9))\/((-3)\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand (r + 0*r + r)*(438 + 2450 + 105).\nAnswer: 5986*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*c = m + 2*c - 1, -5 = -5*m + 4*c. Is 3 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*q**5 + 294*q**4 - 1050*q**3 - 204744*q**2 + 1047*q + 204450 = 0. Calculate q.\nAnswer: -94, -29, -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 24*d + 6349 = -6707. Let f = 930 + d. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 17801621 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: (4 + -16 - -18) + -13\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: (-1127)\/(-92) + (-20)\/16\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let a be 2*(-2)\/4 - -6. Suppose -q + 26 = w, 0 = -5*q - a*w + w + 133. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -35\/10833 and 61\/6008704.\nAnswer: 18026112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (-4)\/6*3\/5. Let o = 0.04 - 4.04. Let p = -314 - -314.1. What is the third biggest value in b, o, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (-3)\/(-2)*(-4)\/(-3). Suppose r + 5*y - 2 + 0 = 0, 2*r - 4 = -3*y. Let n(t) = 0*t**2 + t**r - 27*t + 11*t + 15*t. What is n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 13 a factor of (-295)\/(-15) + 4\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 2 - (2 - 1) - (10 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round 4055000 to the nearest one hundred thousand.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {q: 7, t: 9}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*t + 3*o + 35 + 12 - 7 = 0, -22*t + 12 = 2*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let k(p) = -p + 11. Determine k(-24).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2132677 is divided by 2132612.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 1 or 2\/110359?\nAnswer: 2\/110359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is -31 - 0.2243?\nAnswer: -31.2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -3274 or -3257?\nAnswer: -3274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 4\/(-14) + (-5)\/7. Let n be 144\/45*(-2)\/(-8). Put -0.4, n, x in increasing order.\nAnswer: x, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: 24 + (23 - -15) - 40\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 96113938 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let i(w) = 2*w**3 + 11*w**2 + 6*w + 4. Let m be i(-5). Let x be m\/(1707\/(-6834)) + -4. Let o = x + -1172\/9673. What is the third biggest value in 2\/9, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 5807827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:44 PM and 10:49 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of 1444003*r**2 + 10*r - 12954995 wrt r?\nAnswer: 2888006*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Is 1737742 greater than 1737995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let b(s) be the third derivative of s**6\/150 - 29*s**5\/75 + 83*s**4\/15 + 304*s**3\/5 + s**2 - 2*s - 1445. Suppose b(c) = 0. Calculate c.\nAnswer: -2, 12, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*n - 23 = -a, -4*a = -17 + 5. Let h(c) = -7 + 6*c + c**2 - 5 + 13. What is h(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Work out -705698 * 536.\nAnswer: -378254128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -130, -571, -1302, -2317, -3610, -5175, -7006, -9097?\nAnswer: -11442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve 339*r - 338*r = -20*u - 103, 3*r + 24 = -3*u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is -392.41616 rounded to 0 decimal places?\nAnswer: -392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let y(v) = v**2 + 4*v - 5*v - 1 - 4*v**3 + 5*v**3. Let j be y(2). Suppose 0 = j*q - 8*q - 1. Put 4, -3, q in decreasing order.\nAnswer: 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 321 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let q(v) = v**2 - 3*v - 2433. Calculate q(51).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2048*h + 2049*h - 11*u = -14, 4*h = -u + 34 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Convert 6d1c5 (base 15) to base 7.\nAnswer: 2646452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (4\/(-21))\/((-81)\/945) + 2\/(-9). Which is the third smallest value? (a) 24 (b) v (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 1, -0.346, 0?\nAnswer: -0.346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from wxxbxwvbbxfe. Give prob of picking 1 w, 1 f, and 1 e.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1 in -2\/3, 2\/5, 29?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let z(o) = 2*o**2 + 29*o - 87. Let m be z(13). Suppose 5*d - 1186 = -4*n, d = 5*n - 2125 + m. What are the prime factors of n?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(t) = -2*t. Let r = -89 - -92. Let s(i) = -11 + 5*i + r*i - 7*i. Determine s(l(u)).\nAnswer: -2*u - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the lth term of -6195, -6196, -6197?\n\"Answer: -l - 6194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 298467752 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -1918, -2125, -2176, -2071, -1810?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 68116757609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Convert 2 (base 5) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 127 is divided by 52?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from zosszzzssooz. What is prob of sequence oo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(700) + 1 + sqrt(7) + sqrt(7))**2 - (sqrt(560)\/sqrt(5))**2.\nAnswer: 24*sqrt(7) + 897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-3)\/(-12) - (-728)\/32. Suppose -15 = 2*u - o. Solve -5*w + 4 = 2*j - 7, 0 = u*w + 2*j - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -96 (base 12) in base 10?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Expand (5*y + 5 - 5 - 1 + 8*y + 1 + (-2 + 3 - 2)*(y + 1 - 1))*(-4*y**4 + 5*y**4 + 3*y**4).\nAnswer: 48*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -6 - 14 = -4*n - 3*a, -n + 5 = -2*a. Suppose 0*q - n*q = -20. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(f) = -31*f**3 - 65*f**2 + 173*f - 4. Let x be u(3). Which is smaller: x or -906?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -5*1*(-2)\/(-6)*(-55)\/(196075\/46)?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let f(v) = v**2 + 15*v**2 - 6*v**2 - 3*v**2. Let w(y) = -14*y. Calculate w(f(p)).\nAnswer: -98*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of 22, 522, 1366, 2560, 4110, 6022, 8302?\n\"Answer: w**3 + 166*w**2 - 5*w - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -0.83399751 - -0.8009315. Let k = w - 0.20693689. Let l = k + 0.24. Round l to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(y) = 3*y**2 - 14*y + 8. Let n be b(4). Let k = 362 - 381. Sort n, -4, k in decreasing order.\nAnswer: n, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 23*i - 2*a - 237187 = 18*i, 0 = 4*i - 5*a - 189770. List the prime factors of i.\nAnswer: 5, 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 46970 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is 1687 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Find y such that -4*y**3 + 7242744*y**2 - 3278583790596*y = 0.\nAnswer: 0, 905343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -6*-2*((sqrt(833) - (1*sqrt(833) + -3)) + (-3 + (0 + sqrt(833) - sqrt(833)) + sqrt(833) - sqrt(833)))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -41.63802 and -3.\nAnswer: 124.91406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let i(h) = 2*h**2 + 4. Let v(s) = -3*s**2 - 7. Let l(a) = 11*a - 17. Let m be l(2). Determine m*i(y) + 3*v(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*u = 3*f - 0 - 25, 5 = -5*u. Suppose l + 3*q + f = 0, 0*l + 10 = -l - 2*q. Let s(o) = -2*o + 6. Let m(x) = -3*x + 11. What is l*s(k) + 6*m(k)?\nAnswer: 2*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is (-5 + 94 - 45 - (1 - -20)) + 55?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -38 - 84*z**2 + 60 + 20*z**2 + 5*z - 23 to the form t*z**2 + a + g*z and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 6206 and 12725?\nAnswer: 78971350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let t(i) be the first derivative of -3*i**3 - 83 - 6\/5*i + 51\/10*i**2. Factor t(y).\nAnswer: -3*(y - 1)*(15*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-6 + 3 + 5)*(-4 + 4 - 2*u**2) - 1 + 0 - 3*u**2 + 2 + 3*u + 4*u**2 - 3*u.\nAnswer: -3*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -4858*s**3 + 2076*s**2 - 425*s**2 - 9552*s**2 wrt s?\nAnswer: -29148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -102 - -3.22?\nAnswer: -98.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 13044042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 37 + -26. Let g be 4\/(-22) + 46\/j. Suppose 4*i + x = 37, 5*i + g*x = 10 + 28. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 7568843 and 892?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -1 in 0.1, -1\/2, 1\/6, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 39270 + 39257 + 6*j**2 + 39258 - 157038 + 39253.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -331\/7 - -47. Suppose -4*x + 33 = 3*y, -3*y + 0*y = -2*x + 3. Let q be x*-3*(-2)\/126. Which is the third biggest value? (a) p (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 12 divide 24816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -x - 2 + 4 = 0. Suppose -1 = i + l, -l - 10 - 7 = 5*i. Let u be 6*-5*i\/30. Solve -u*a + 5 + 3 = -4*w, w = -x*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(s) be the second derivative of -30*s - 17\/20*s**5 - 31\/6*s**3 + 0*s**2 + 0*s**4 + 0. What is the second derivative of h(i) wrt i?\nAnswer: -102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is seventeen halves of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let u(f) = -f**3 - 48*f**2 - 47*f + 41. Calculate u(-47).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 7862*u + 346097 + 54865 = 0 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 4963 is divided by 1186?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2\/13*w**2 + 2\/13*w**3 + 6\/13 - 10\/13*w = 0. Calculate w.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3 = -5*x + 37. Let a(t) = -2*t**3 + 2*t**2 - t + 4. Let d be a(x). What is d rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((z*z\/z**(-11))\/(z*(z*z*z**(-3)\/z)\/z))**(-4) assuming z is positive.\nAnswer: z**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {o: 4, g: 6, u: 3}. Give prob of picking 1 g and 1 u.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 132 - (-119 - -296) - (-3 - 31)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let s(o) = -o**3 - o**2 + 2*o - 1. Let h be (-4)\/7 - 110\/(-70). Give s(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -625\/1442 + 1\/206. Let t(y) = 3*y**2 - 1. Let j be t(1). Suppose -j = u - 5. Put 1, u, f in descending order.\nAnswer: u, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 12*a**3\/7 + 2762*a**2\/7 + 156368*a\/7 - 296032\/7.\nAnswer: 2*(a + 116)**2*(6*a - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Is 453433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let d be ((-26)\/6)\/(30\/45). Which is smaller: 1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -0.2 + 1.2. Let p be ((-4)\/(-5))\/(-1) - (-39 + (-17311)\/(-455)). What is the nearest to -2 in h, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence oofo when four letters picked without replacement from {f: 3, o: 9}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in 33, -0.013, -5\/11, -0.5?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let j(f) = 1 + 5*f**3 + 102*f**2 - 102*f**2. Let o be (-2)\/17 - 418\/(-374). Determine j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -450 - -978. What is the hundreds digit of 1\/(v\/(-529) - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: 6 * -2.45953\nAnswer: -14.75718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let m(a) be the second derivative of 0*a**3 + 0*a**5 + 0*a**6 + 0*a**2 - 1\/4*a**4 + 2\/21*a**7 + 0 + a. What is the third derivative of m(q) wrt q?\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-41 - -45) + -7 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(j) = j**3 + 10*j**2 + 8*j - 5. Let k be i(-9). Let r(z) = -k*z**3 + 5*z**3 - 4 - 5*z**2 - 7*z - 2*z**3. Determine r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine c, given that 3*c**5\/4 + 13833*c**4\/2 - 332427*c**3\/4 - 13833*c**2\/2 + 83106*c = 0.\nAnswer: -9234, -1, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let k(n) = 5*n**3 - 4*n**2 + 7*n - 7. Let x(t) = -4*t**3 + 3*t**2 - 6*t + 6. Give 3*k(p) + 4*x(p).\nAnswer: -p**3 - 3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: -103559824 divided by -51779912\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 17 + 8 = 5*m. Let x be 1\/(3*(-4)\/(-24)). Solve x*l - l = -m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 147121736?\nAnswer: 2, 379, 48523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*p + 8 + 0 = 0. Let j(d) = d**3 - d**2 - 5*d. Let g be j(p). Suppose 4*q + 0*q - g = 0. Calculate the highest common factor of q and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*d - 2*d = u - 1936, -3900 = -2*u - 5*d. Suppose -13*f + u = 4*x - 14*f, -x + 2*f = -485. What are the prime factors of x?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -394 in -0.3, 1\/3, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: 3\/((36\/24)\/(57\/6))*(-16)\/(-16)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 10:11 AM and 2:02 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 26*b - 22*b = -15*b + 1064. Solve -b*a = -2 - 166 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) -75 (b) -450.9 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Divide -1 by -703911.\nAnswer: 1\/703911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1 - 4 = -3*a. Suppose -x + 0*x = -k + 5, -5*x - a = k. Let v(b) = -b**2 + 2*b + 35. Let s be v(7). Solve -4*i = -s*i + 4*l, k*i + 18 = 5*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 3765741 is divided by 142?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Work out 45162 * -2.\nAnswer: -90324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve -8 = 10*a - 14*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4*(-5 + (sqrt(3645) - (sqrt(3645) - (sqrt(3645) + (6*(sqrt(3645) + 3) - sqrt(3645))))**2 - sqrt(3645))) + -4.\nAnswer: -365820 - 19440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is (5 - (-33)\/(-6))\/((-56)\/4 - (-12792)\/912)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1342055345?\nAnswer: 5, 268411069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -0.71 - -3.61. Let h = -2.14 + o. What is h rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(y) = 84*y + 290. Give t(-7).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 18.42 - 0.42. Let d = 22 - f. Let j(k) = k - 6. Let i be j(5). Which is the closest to i? (a) d (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 37.028 - 0.028. Let d = w - 36.5. Let g = -0.036 - 2.964. Which is the closest to g? (a) d (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 46663972 or 27?\nAnswer: 46663972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of -164, -47, 272, 895, 1924, 3461?\n\"Answer: 17*f**3 - f**2 + f - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from gmhegegxetgm. Give prob of sequence gex.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 0.04 + -0.0425. What is q rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(p) = -43*p + 1524. Does 127 divide x(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 3291634 or 3291556?\nAnswer: 3291556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let m(g) be the second derivative of 4\/3*g**7 - 1\/2*g**2 + 56*g - 13\/6*g**3 + 0 + 0*g**6 + 0*g**5 + 0*g**4. What is the second derivative of m(l) wrt l?\nAnswer: 1120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -150159, -150102, -150045, -149988?\nAnswer: -149931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 19 bigger than 5087967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let t(o) = -21*o**2. Let b(l) = 3*l**2 + 27*l - 54. Let f be b(2). Let y(h) = f*h**2 - 29*h**2 + 3*h**2 + 11*h**2. Determine t(y(w)).\nAnswer: -189*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -12*q = q - 6552. Let m be (q\/(-180))\/(1\/10). Let k(p) = -10*p**3 + 14*p**2. Let b(a) = -2*a**3 + 3*a**2. Give m*b(u) + 6*k(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: (-1385)\/(-155) + 36\/558\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tmmmtttvmvmvt?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*o + 2 = -3. Let t(p) = -1. Let g(w) = 2*w + 4. Let u(x) = o*g(x) - 5*t(x). Differentiate u(r) with respect to r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 87046 is divided by 1892.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Express ((-1 + 0 + 0)*(1 + 0 - 2) - 5 + 5 + 1)*(40 - 39 + 45)*(-38*a + 61*a - 64*a) as j + f*a and give f.\nAnswer: -3772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 3843?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let s be 160\/195 - -1*(-6)\/9. What is the third smallest value in -4, s, 2\/11, 1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 18, 37, 84, 171, 310, 513, 792, 1159?\nAnswer: 1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let m(d) be the first derivative of -d**2\/2 - 5*d + 1304. Let b(v) = -19*v. Calculate b(m(x)).\nAnswer: 19*x + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -1? (a) -19.49622 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 1575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Work out -28438533 + -1996.\nAnswer: -28440529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 13\/5 of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1030647571.\nAnswer: 19, 54244609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -34968 or -34967?\nAnswer: -34967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the nth term of 378, 296, 218, 144, 74, 8, -54?\n\"Answer: 2*n**2 - 88*n + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1619570 is divided by 587.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is 33 + 633c?\nAnswer: 6370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 23365041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 1 and 14108.\nAnswer: 14108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the jth term of -31934, -63787, -95640, -127493, -159346?\n\"Answer: -31853*j - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -6 + 4 + 1 + 3*c + 89*c**3 - 86*c**3 to q*c**2 + v*c**3 + m + g*c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of 1034163, 1034164, 1034165, 1034166, 1034167?\n\"Answer: b + 1034162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Factor -12*w - 66 - 64 + 118 - 3*w**2.\nAnswer: -3*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence cbb when three letters picked without replacement from cbccbc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 650\/11 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 15405450 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let u be ((-20)\/8)\/((-25)\/20). Let a be (u\/3)\/((-2)\/471). Is 3 + (-3 - a)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 8344 and 2044?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the gth term of 73, 288, 647, 1150, 1797, 2588?\n\"Answer: 72*g**2 - g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let y(f) = -2*f**3 + 4*f**2 + 2*f - 2. Let l = 7 + -5. Let k be 0\/l + (-40 - -43). Calculate y(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor w**3\/2 - 2951*w**2\/2 + 2172667*w\/2 + 6544587\/2.\nAnswer: (w - 1477)**2*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of 69, 575, 1957, 4653, 9101?\n\"Answer: 73*k**3 - 5*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*d - y + 9, 4*d + 6*y = 2*y + 20. What is the nearest to -8 in -5, -3, 2\/3, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1582*n + 1578*n - 4734*n + 1578*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -0.289 + 13.389. Let h = -12.6 - c. Let l = h + 26. Do -5 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 484 divide 314851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Determine d so that -3*d**3\/5 + 1103139*d**2\/5 - 2206269*d\/5 + 1103133\/5 = 0.\nAnswer: 1, 367711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7 = -3*z - y, -z - 5*y = -10 + 3. Let o(p) = 5*p + 4 + 17*p**2 - 9*p**z + 1. Calculate the remainder when o(-2) is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from pppppppprpppe. Give prob of picking 1 r, 1 p, and 1 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let k(v) = 73*v + 6 - 7 + 139*v - 4. Is k(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(c) = 3*c. Let w(m) = m**2 - 3*m + 1. What is 3*n(t) + 2*w(t)?\nAnswer: 2*t**2 + 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 334 + 135 - 3*u**2 + 2*u**2 + 269.\nAnswer: -u**2 + 738","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Factor -4*i**3 + 1342284*i**2 - 112604540256*i - 563056258880.\nAnswer: -4*(i - 167788)**2*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} -{"text":"Question: Convert 56.4333 millennia to centuries.\nAnswer: 564.333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let c(p) = p - 11. Suppose 4*o + o - 23 = 4*n, 29 = 5*o - 2*n. Determine c(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(n) = -7*n - 11. Let t(s) = 2*s + 4. Let u(j) = -17*t(j) - 6*w(j). What are the prime factors of u(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 0 in -1\/22, 12788, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (2 - 3)\/(-4) + (-534)\/(-8). Find the second derivative of -25*a**2 + g*a + 60*a - 111*a wrt a.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*m + 143604 = 3*i - 89343, 0 = 5*i + 2*m - 388241. Suppose -4*q = -5*l - 0*q + i, 4*l + 3*q = 62099. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 2 - -1. Let a be 0*3\/v*-1. Suppose 0 = w - a*w - 22. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2087312 is divided by 406.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {w: 9, e: 2, k: 2, u: 3}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -165 - 5c?\nAnswer: -1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 4293, 3937, 3331, 2469, 1345, -47, -1713?\nAnswer: -3659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve -67*p + 63*p + 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 131\/1514205 and 107\/210.\nAnswer: 3028410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is 30d - -19?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*q + 687*l = 686*l + 1, -l - 6 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Work out 1616 - -257142.1432.\nAnswer: 258758.1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((x\/(x*x*x**30))\/x**7)\/((x\/x**(-23)*x)\/((x**(-1\/24)*x)\/x)) assuming x is positive.\nAnswer: x**(-1513\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (15\/20)\/((-24)\/480)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 15027 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -37 + -298. Round c to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 51 - 39 = 2*n + 3*m, 0 = -m. Suppose -n*y = -8*y + 12058. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 0.4 + -0.4. Which is the nearest to 0.1? (a) -2\/9 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 19307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -1229\/14 + 89. Find the common denominator of (-46)\/(-32)*(-15)\/(-40) and l.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 864512476.\nAnswer: 2, 216128119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let i be 33\/45 + 330\/(-990). Suppose 2\/5*s**3 + 0 + 0*s**2 + 0*s + i*s**5 + 4\/5*s**4 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(p) = 2*p**2 - p + 2. Let d(v) be the third derivative of -v**5\/30 + v**4\/24 - v**3\/3 - 6*v**2. Suppose -2*r - 30 = -7*r. Give r*d(k) + 5*f(k).\nAnswer: -2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is -11 - 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let w(s) = -3*s. Let v be w(-2). Suppose 3*d = v*d. Let q = 6 + d. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(w) be the first derivative of w**3\/3 + w**2\/2 - w - 11. Let j(d) = 2*d**2 + d - 3. Let b(x) = j(x) - 3*k(x). Factor b(r).\nAnswer: -r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(l) = -3 - 831457*l - 1 - 618544*l. Let f be (-3)\/(1 - (-2)\/(-8)). Let w be q(f). Round w to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 1042 - 1042. Solve o = 47*g - 11 + 11 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 37 - 26. Let m(s) = -s**2 - 9*s + 6. Let t be m(-9). Let a(w) = t*w**2 + 0 - 4 - 1. Let i(l) = -17*l**2 + 14. Determine v*a(f) + 4*i(f).\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -304 - -325. Let j be (-117)\/12*(-28)\/w. What is the highest common factor of j and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {u: 3, c: 11}. Give prob of picking 2 c.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: 1+133426873527\nAnswer: 133426873528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from knknnnhnnnnznhkkhn?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is 1848769250 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -1 - -3. Let q(p) be the first derivative of 0*p - 1\/5*p**l + 2 - 1\/15*p**3. What is u in q(u) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*w + 4*a + 7641 = -16999, 24655 = 4*w + a. Is 43 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 294164 and 34164.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*f + 4*u + 26, -5*f = 5*u + 35 + 5. Let k be (0 - f)*81\/36. Factor -9\/2*l - 3\/4*l**2 - k.\nAnswer: -3*(l + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) -1 (b) 6 (c) 5536231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Solve -1341*s + 14210 = 1501*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 1465 - 2123. Let d be 2\/(-9) - v\/126. What is the second derivative of 9*i**5 + 3*i + 5*i**d - 4*i wrt i?\nAnswer: 280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1076382 divided by 2?\nAnswer: 538191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1451572*x + 229*x**2 - 1451572*x - 237*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (3*-1*sqrt(204) - ((sqrt(204)*-1 - sqrt(204)) + sqrt(204))*4)\/(1*sqrt(108) - -3*sqrt(48)).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-3)\/(-3*((-3)\/(-21)*7)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: -0.0555 - 9\nAnswer: -9.0555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange h**3 - 4*h**3 + h**3 + (314*h**2 + 3270*h**2 - 269*h**2)*(-3 + 3 + 2*h) to the form o*h**2 + j + r*h + d*h**3 and give d.\nAnswer: 6628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 1232711 - 1232326.8855. Let o = t + -384. Round o to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 5904046035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Round -376727.874 to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Convert -3 (base 9) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*z = 5*p - 115, 326*z = 327*z + 1. What is the smallest common multiple of 516 and p?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 739*t**3 + 4*t**2 - 750*t**3 - 4*t**2.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(121)\/(sqrt(1100)\/sqrt(4))*1 - ((sqrt(704) + 0 - (sqrt(33)\/sqrt(3) + sqrt(11) + -3)) + 3))**2.\nAnswer: 348*sqrt(11)\/5 + 10151\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {n: 2, y: 4, j: 1, e: 2, z: 3}. Give prob of picking 1 z and 3 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let t(d) = d**3 + 6*d**2 + d + 4. Let q be (-2)\/16 + 328\/64. Suppose q*i = 25, -k + 0*k = 3*i - 9. Determine t(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-j - 2*j + j)*(j**3 + 4 - 4) + (0 + 1 - 3)*(3*j**4 - 14*j**4 - 6*j**4).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (4\/(-24))\/(1\/(-8))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -41834 divided by -20917\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from kjkvvvvkjkjvjvk. What is prob of picking 2 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let y(t) be the second derivative of t**7\/210 - t**6\/60 + 5*t**3\/6 + 5*t. Let g(n) be the second derivative of y(n). What is the third derivative of g(x) wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 809337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 5\/4 equal to 27\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Does 51 divide 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {i: 2, b: 1, t: 1, n: 2}. Give prob of sequence nbi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Divide -68 by -34.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from ccujiic. Give prob of sequence ucu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let 147*r**5\/2 - 6237*r**4\/2 + 1287*r**3 + 1506*r**2 + 252*r = 0. Calculate r.\nAnswer: -2\/7, 0, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 783856 + -368237. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 12093.\nAnswer: 3, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (-81)\/(3\/((-3)\/1)). Suppose -93*d + 120 = -b*d. Let z = 13 - -24. What is the remainder when z is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 61062.92 centuries to millennia.\nAnswer: 6106.292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -336.79 - 0.2.\nAnswer: -336.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 36 in -3, 1\/4, 1\/8, -2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1727 + 307 = 113*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(114)\/(sqrt(24)\/sqrt(4)*-4) + (0 + sqrt(133)\/sqrt(7) - sqrt(19)) + -4)**2.\nAnswer: 2*sqrt(19) + 275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Work out 26 + 1417.\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-1 + 1642417*r - 1635606*r + 2)*(-2*r + 0*r + r).\nAnswer: -6811*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 44882, 44892, 44906, 44924, 44946, 44972?\n\"Answer: 2*v**2 + 4*v + 44876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let o(f) = -f**3 - 2*f**2 + 4*f - 1. Let l(m) = m**3 + 3*m**2 + m - 1. Let x be l(-3). What are the prime factors of o(x)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is -a004 - 5?\nAnswer: -a009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -20 + 31. Suppose 248 = b*p - 15*p. Find the common denominator of (14 - 14) + p\/(-12) and 45\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: 4*18753.284\nAnswer: 75013.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*n - q + 4*q - 21 = 0, 4*q = 2*n + 18. Let b(c) = -6*c**2 + 5. Let u(s) = 2*s**2 - 2. What is n*b(f) - 8*u(f)?\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 1990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let b(f) = f + 7. Let x be b(-5). Suppose -d + 2*a = -16, -x*d - 52 = -6*d + 5*a. Let g(r) = -r**3 + 9*r**2 - 7*r - 9. Let p be g(d). Is p at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is o in o - 1\/5 - 9\/5*o**2 - 2\/5*o**4 + 7\/5*o**3 = 0?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-1101 + 1121 + 781 + 657 + 5*m + 1088)*(m**2 + 3*m**2 - 5*m**2) to the form h*m**2 + r*m**3 + p*m + g and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -15\/2 + 29\/4. Let l be (-3 - -7) + (-26)\/7. Let h = -2.93 + 2.89. Which is the biggest value? (a) l (b) 1\/3 (c) h (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.00001608 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is 67 (base 16) in base 4?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Divide 4078504 by 2.\nAnswer: 2039252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let a(j) = -18*j**3 + 764*j**2 + 2842*j + 2088. Let o(p) = -4*p**3 + 153*p**2 + 568*p + 417. Let t(b) = 3*a(b) - 14*o(b). Factor t(d).\nAnswer: 2*(d + 1)*(d + 3)*(d + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -6*o + 34 + 32 = 0. Let z be (7\/7)\/((-1)\/21). Calculate the remainder when z*(-10)\/6 + -3 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(y) = -y + 7. Let r be b(10). Let w = -185.2 - -185. What is the nearest to w in r, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(j) = 12 - 32*j - 12*j**2 - 5*j + 30*j + 4*j**3. Let x(b) = 12*b**3 - 36*b**2 - 20*b + 36. Let m = 3 - 11. Let u(a) = m*k(a) + 3*x(a). Factor u(r).\nAnswer: 4*(r - 3)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 2*g**2\/21 - 124*g\/3 - 148030\/21.\nAnswer: 2*(g - 565)*(g + 131)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -144, -143, -142, -141?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 1433859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let h be -46 - -42 - 17*2\/(-9). Which is the nearest to 50? (a) h (b) 0.3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 2*x + 4 - 4 + (-1 + 1 - x)*(4 - 35 - 219).\nAnswer: 252*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let v be ((-2)\/4)\/((-42)\/(-336)). Let k = -0.3 + 0.4. Put k, v, 0, 0.4 in decreasing order.\nAnswer: 0.4, k, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tenth root of 657262 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((570\/(-19))\/(-15))\/((-64)\/4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 424 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 238759 or 238773?\nAnswer: 238773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:41 PM and 1:03 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4*((sqrt(165)*-2*5)\/sqrt(5))\/(-2*(3*sqrt(396) - sqrt(396)) + sqrt(396)).\nAnswer: 20*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is -11023004 take away -39?\nAnswer: -11022965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let d be (-2)\/(-4) - -1*30\/(-76). What is the closest to 0 in -0.08, 3\/5, -0.3, d?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1679077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let b(a) = 2*a - 6. Suppose -22 + 2 = -4*g. Let o be b(g). Suppose o*z - 20 = 4*r, -3*r + 6*r + 16 = 2*z. Let s(u) = u + 7. What is s(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 181 minutes before 3:03 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of 5352742, 5352953, 5353164, 5353375, 5353586, 5353797?\n\"Answer: 211*h + 5352531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 7.12 - -0.28. Let m = r - 7.42. Sort 0, 2, m, 1 in decreasing order.\nAnswer: 2, 1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*s + d - 16 = 2*d, 4*s - 4*d = 32. Let f be (2*2\/s)\/(1\/1556). Suppose 2*u = u + f. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -w - w + 3*z = -37, -22 = -2*w - 2*z. Let c = w + -10. What is the derivative of -d**c + 6 + d**4 + 0*d**4 - 3*d**4 wrt d?\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (4\/(-6))\/(12\/6)*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is -381.919525 rounded to 1 decimal place?\nAnswer: -381.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 358044743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -5144, -5142, -5130, -5102, -5052?\nAnswer: -4974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*o + 2*o - 2*o)*(0 + 0 - o) - 1340*o**2 - 1340*o**2 + 2706*o**2 + 5*o**2 - 2*o**2 - 2*o**2 + (-6*o + 2*o + 2*o)*(0*o + o - 3*o).\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 1170\/(-378) + 18\/42.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Determine a so that -27*a**4 - 41262*a**3 + 1295715*a**2 + 289974*a = 0.\nAnswer: -1559, -2\/9, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1985480?\nAnswer: 2, 5, 7, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 16265*d**6 + 2*d**5*g**2 + d**2*g**2 + 5416*d*g**2 wrt d?\nAnswer: 1951800*d**3 + 120*d**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Expand 7*r - 7*r - 9*r**4 + (3*r - 3*r + r**2)*(-4*r**2 + 2*r**2 + 3*r**2).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the pth term of 2392063, 4784150, 7176237, 9568324?\n\"Answer: 2392087*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2120 = -5*y + 5*z, -5*z - 4 + 19 = 0. Let b = y - 382. Solve -b = 5*h + 6*w - w, -4*h - 1 = -3*w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 1399*h - 492.\nAnswer: 1399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let p(q) = -2*q + 8. Let h be p(3). Let -3*b**3 + 7*b**2 + 10 - 9*b - 7 + 2*b**h = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is (-15)\/(-12) + (-7510503)\/(-132) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 15, -93, -449, -1179, -2409?\nAnswer: -4265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 7805795827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 121 a factor of 37994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*s - 22 = -4*b + 2*s, -2*b - 5*s = -23 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 19 + 30 + -46 + -19.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 11896*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*m = -d - 4*d - 35, -4*d = m + 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -m - 8*m + 189. Let s(b) be the first derivative of -31*b**2\/2 + b - 2. Let y be s(-2). Calculate the highest common factor of m and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(j) = 5*j. Let n(s) = 4*s + 3. Let r(z) = 35*z - 18. Let w(i) = -6*n(i) - r(i). What is w(o(v))?\nAnswer: -295*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 261787?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (f\/(f*f\/(f*(f\/(f**(-6\/11)\/f)*f)\/f)))\/f**(1\/16) assuming f is positive.\nAnswer: f**(437\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 192 and 3096.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -h = 2*p - 5*h, -4*p = 3*h - 11. Calculate the smallest common multiple of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-2 - 4 - (-1 + -2)) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -a = -5*j + 7, -2*j = -3*j - 4*a + 14. Let l = 420 + -187. Suppose -j*v = -3*i - l, -6*i - 106 = -v - i. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -362 divided by 2579?\nAnswer: -362\/2579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0.1 in 121, 2\/21, -1, 46\/67, -2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -536 = 2*k - 3*k + 4*d, -2*k + 1042 = 2*d. Suppose 5*i = n - k, n - 4*i = -8*i + 515. What is the remainder when (-3)\/(n\/(-129) + 4) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -1637.7 in -29, 0.1, -0.9, 2?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 0.032 + -0.612. Let x = 0.567 + p. Let s = 0.147 - x. Put s, -5, 2 in descending order.\nAnswer: 2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 11299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of -638967, -1277936, -1916905, -2555874, -3194843?\n\"Answer: -638969*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*l + 20 = 4*s - 7*l, -2*s + l = -12. Suppose -s*j + 931 = -0*j. Does 19 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1077186397.\nAnswer: 7, 153883771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 26224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: (9*34\/(-612))\/(84\/112)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -8505 - -8502. Let u = 0.3 + 3.7. What is the second biggest value in 0, u, t, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {h: 16, b: 2}. What is prob of sequence bhbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: 0.06*2374777\nAnswer: 142486.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -0.12 - -0.32. Put -5, 0.5, x in increasing order.\nAnswer: -5, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 184953 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let t(c) = 30748*c. Let u(g) = 9*g**2 + 369. What is u(t(q))?\nAnswer: 8508955536*q**2 + 369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (b**(6\/7)\/(b\/(b**(2\/55)*b)))\/(b**18\/(b**6\/b)) assuming b is positive.\nAnswer: b**(-4661\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 801.9131km in nanometers?\nAnswer: 801913100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 3 + (-3 - -2) - (1 + -8 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 73435 (base 8) in base 4?\nAnswer: 13130131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence eulh when four letters picked without replacement from hlshjeueehhhjeh.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {k: 1, u: 1, d: 1, o: 4, a: 1}. Give prob of sequence ua.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 743490 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.4 times -1498805?\nAnswer: 599522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 38443560?\nAnswer: 2, 3, 5, 29, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*n - 20 = q - 3*q, 0 = 4*q - n + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1 in -4\/37, 3\/7, 0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let h(d) = -137*d**2 - 825*d. Give h(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Product of 6 and 0.037.\nAnswer: 0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let v(b) = 6 - b**3 - 3 + b + 7*b**2 + 0. Let k(m) = -m + 1. Let f be k(-6). What are the prime factors of v(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 79*u - 107*u. Solve u = -5*s - 5*r + 20, -4*r = 5*s - 0*s - 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(b) = -4*b - 7. Let w(d) = 5*d + 8. Let t(y) = -6*f(y) - 5*w(y). Let x(k) = -2*k + 3. Let z be x(3). Let v(p) = p**2 + p - 4. Let g be v(z). Give t(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:04 AM and 11:14 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 1854299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let p(j) = 1273*j - 451890. Calculate p(355).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 1822.77km in centimeters?\nAnswer: 182277000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 33672202.\nAnswer: 2, 373, 45137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let a(m) = -m - 1. Let c(b) = -6*b - 9. Let t(i) = -5*a(i) + c(i). Let n(j) = -4*j - 12. Let u(w) = -2*n(w) + 7*t(w). Determine u(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(f) = -2*f - 21 - 35*f**3 - 5*f + 34*f**3 - 28*f**2. Let y be s(-28). What is the greatest common factor of 25 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 99 and 30?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 8489\/1044 + -215\/116. Calculate the common denominator of f and -5*22\/16 - 1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-114)\/(-6460)*17)\/(6\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 29045 and 183.\nAnswer: 5315235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 466488 and 75240.\nAnswer: 2332440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 11*j + 12 = 45. Suppose -j*s + 7 + 8 = 0. Suppose -6*g = -g - 25. Solve -7 = -3*m + m - k, -5*k + s = -g*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -23 + (-17 - (2 + -13))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (2*3\/(-3))\/((-68)\/(-51))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -2\/5 in -1, 3, -187, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Express 5*p + 0*p**2 - 9*p**2 + 2*p**2 + 4*p**2 in the form c*p**2 + a*p + j and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is -461 + -1?\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is e8f + 1e2a?\nAnswer: 2cb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*o + 14*t - 15*t + 2398 = 0, -4*t - 2378 = -3*o. Calculate the remainder when o is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -51*z + 44*z + 315 = 0. Suppose -z = 14*x - 9*x. Let f(j) = j + 13. Determine f(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0 in 0.126, 3\/7, -0.5?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 23.93701 centimeters in micrometers?\nAnswer: 239370.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -2.28 - -6.28. Let s = 0.9 - -15.1. Which is the third biggest value? (a) -1\/2 (b) s (c) j (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*k + 4*k - 2*k)*(1 - 4 + 2) + (k - k - k)*(-22692 - 22377 + 50054).\nAnswer: -4987*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is 8 + (-26 - 7) + 6 - -36?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -310 - -310.2. Put -10, u, -4 in ascending order.\nAnswer: -10, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 9\/463 - -1344\/2315. Find r, given that 0*r - w*r**2 - 3\/5*r**4 - 6\/5*r**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be ((-2)\/(-5))\/((-21)\/35 + 1). Solve 0 = -x + 3 + j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*h - 306*k + 302*k = -19, h + 3*k + 5 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -15714510*z**4 - 2*z**2 + 7124*z + 542 wrt z.\nAnswer: -377148240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is 302 minutes before 5:23 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 15 a factor of 98940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 16697, 34080, 51463?\nAnswer: 68846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*v - 16*v = -1176. Let g be 0\/(-6) + (-7)\/(v\/6). Put 1\/3, 2, -0.15, g in descending order.\nAnswer: 2, 1\/3, -0.15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let r(p) = -5*p - 5. Determine r(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Are -307915 and -307936 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 4973, 19790, 44483, 79052, 123497, 177818, 242015?\nAnswer: 316088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 6 - 2. Suppose 3*f - 4*y - 4 - 2 = 0, -2 = o*f - 2*y. List the prime factors of ((-15)\/f)\/(9\/12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of -4367, -8727, -13077, -17411, -21723?\n\"Answer: q**3 - q**2 - 4364*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 20080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*y + 4*j = -24, 0*y = -2*y + 3*j + 4. Calculate the common denominator of ((-2457)\/(-48))\/7 + y and 1\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*n = 8, 3*v + 67*n = 62*n + 106. Calculate the highest common factor of v and 4014.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 5 - 3 - (0 - 3). Let b(m) = -11 - 5*m + 61*m**2 - 60*m**2 + 25 - 9. What is b(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 56 and 61362?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let u(v) be the second derivative of -11*v**6\/30 - v**4\/2 - 79*v**3 - 2*v - 18. Find the second derivative of u(r) wrt r.\nAnswer: -132*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-26970)\/(-5075) + 6\/315.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*g = -8*g. Is -2\/9 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 80688691 is divided by 343.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is 26977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -28*n**4 + n**4 - 3*n**4 - n**4 + 0*n + 0*n + (-2*n**4 + 2*n**4 - n**4)*(-1 + 0 + 3) to the form i*n + m + d*n**2 + c*n**3 + t*n**4 and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -6*d = -8*d - 2140000. Round d to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0.3 - -68725.23\nAnswer: 68725.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 76.233 - -5.\nAnswer: 81.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 11903, 11859, 11815, 11771?\nAnswer: 11727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: How many tonnes are there in 0.01803mg?\nAnswer: 0.00000000001803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 256 - 255.999999911. What is o rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {w: 1, m: 4, d: 8, r: 1, j: 2, l: 4}. Give prob of picking 1 d, 1 w, and 1 m.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 407119 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of -202, -385, -538, -649, -706, -697, -610, -433?\n\"Answer: 2*k**3 + 3*k**2 - 206*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -23437 + 23458. Solve -5*h - 26 + v = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 648 divided by -6\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let m(u) = -1156*u - 66. Let l be m(1). Let q be l\/299 + (-4)\/(-46). Suppose k = -4*d - 17, -5*d = -2*d + 15. What is the second smallest value in k, q, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*h = 3*h - 6. Let o = -5571 + 5727. Sort h, o, -3.\nAnswer: -3, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is twenty-one halves of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of (-50)\/(-325) - 360\/(-26) and 11\/(1\/1) + 1 + 0?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 774878?\nAnswer: 2, 13, 29803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((n\/n**8)\/n)**(-1\/13))**(-30) assuming n is positive.\nAnswer: n**(-240\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Factor -4*f**2 + 4500*f - 8984.\nAnswer: -4*(f - 1123)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Is 6560 less than 53\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = u + 2 - 10. Let i(q) = -q**2 + 19*q - 17. Let s be i(12). Let y = s - 45. Calculate the least common multiple of u and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 9832012 or 9832021?\nAnswer: 9832012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of 8, 22, 52, 104, 184?\n\"Answer: x**3 + 2*x**2 + x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Expand 1 + 2*w - 1 + (0*w + 4*w - 3*w)*(4 + 0 - 3) - 2*w + 2 - 2 + (6*w - w - 3*w)*(2 - 4 - 1).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 0.012038 + -0.812038. Let s be (1\/(-2))\/(18\/(-8)). Sort -4, w, s in descending order.\nAnswer: s, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 436490 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let a be ((-3)\/(-2))\/((-24)\/(-32)). Suppose 0 = a*m - 4*c - 20, -10 = -3*m - 0*m + c. Solve m*r = -3*j - 3, 2*j + 2*r + 0*r = -4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -21, 499, 1015, 1527, 2035, 2539, 3039?\nAnswer: 3535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 51534 or 51748?\nAnswer: 51534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 294774866 a multiple of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of -1683, -3352, -5021, -6690, -8359, -10028?\n\"Answer: -1669*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.139 (c) -65 (d) 57 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: How many tonnes are there in 9768.91mg?\nAnswer: 0.00000976891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -138343*a**4*w + 228*a**3*w - 32*a**2*w - 54*a**2 - a*w + 94*w wrt a?\nAnswer: -3320232*a*w + 1368*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let d(x) = 8*x - 26. Let p(c) = -7 + 15*c - 50*c + 19*c + 23*c - 20. Determine -5*d(m) + 6*p(m).\nAnswer: 2*m - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -1 - -2.3. Let s = -1.2 + a. Put s, -0.6, 2 in descending order.\nAnswer: 2, s, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 12205*m**2 - 24435*m**2 + 12213*m**2.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -267*s**6 - 147*s**2 wrt s?\nAnswer: -32040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 1702281130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve 602018*n + 15 = 602019*n, 2*q + 73 = 5*n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*q - q - 6 = 0. Let v = 0 - q. Let x = v + 6. Solve 0 = -a - 2*u + 9, -3 = a + u - x*u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -826*a**3*m**3 - 186*a**2*m**3 + 2*a**2*m**2 - 4*a*m - m wrt a?\nAnswer: -4956*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let u(h) be the first derivative of 0*h + 16\/3*h**3 + 23\/4*h**4 + 0*h**2 + 40. Find the third derivative of u(c) wrt c.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(a) = 7*a - 2. Let g be r(1). Let z(s) = -s + 7. Let p be z(g). Suppose -5*m - 4*k = -19, -m + 3*k + 2*k - p = 0. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 18438318 and 26910?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 46 - 142\/3. Let c = -83.3 - -88. Let z = c + -5. Sort z, m, 0.1 in ascending order.\nAnswer: m, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 999673259.\nAnswer: 13, 76897943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let r(p) = 4*p. Let l(c) = 0*c**2 + c**2 - 3*c**2. What is l(r(g))?\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let x(u) = 18*u**2 + 58*u - 6. Let m(p) = 6*p**2 + 20*p - 2. Determine -17*m(h) + 6*x(h).\nAnswer: 6*h**2 + 8*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -3.69 + -289.31. What is the closest to k in 2\/13, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 2171077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the nth term of 1379420, 1379814, 1380208?\n\"Answer: 394*n + 1379026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: (-253)\/(-77) - (0 - 0 - -3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(u) = u. Let s(f) = -757*f**2. Give s(i(y)).\nAnswer: -757*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 36743226 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve -29*u = -31*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let b(k) = k. Let v(g) = 6*g - 3*g - g - 6*g. Calculate b(v(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between 4 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let p(u) = 58*u + 239. What is p(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in -0.4, -4\/15, 43\/180?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-4*h - 12 + 5*h + 25)*(h + 1 - 1).\nAnswer: h**2 + 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (8\/(-9))\/(4\/(-54)*(-447)\/(-149))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let t(g) = 79*g**2 + 47*g. Let w(i) = 3311*i**2. What is t(w(k))?\nAnswer: 866054959*k**4 + 155617*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 6*l**2 + 7*l**3 + 14*l**4 + 4*l**2 + 3*l - 15*l**4 - 9*l**3 to the form d + c*l**4 + r*l + u*l**3 + g*l**2 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of 10343, 10342, 10323, 10280, 10207, 10098?\n\"Answer: -f**3 - 3*f**2 + 15*f + 10332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence pyp when three letters picked without replacement from ppppppppyppy?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -87\/160 - -8\/15. Let u = -35\/288 - x. Is u at least 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 24586 and 2622?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 7898.228l in millilitres?\nAnswer: 7898228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 88, 93, 128, 193, 288, 413?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -5645 + 9741. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 102752663 is divided by 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let p(q) = -2*q**2 + 3*q. Let a be p(2). What are the prime factors of ((-18)\/(-12))\/(a\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:51 PM and 8:02 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 3 + -1. Suppose 0 = o + 21*c - 13*c - 45, -5*o + 5*c = 0. Suppose s*h + o = z + 3, 0 = -z - 3*h + 22. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -5426 (base 15) in base 12?\nAnswer: -a383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Does 49 divide 266266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 5 + -9. Let r = 387.736 + -388. Let s = 4.736 - r. Put 3\/2, s, a in descending order.\nAnswer: s, 3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(a) = -250*a + 5996. Calculate k(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Expand (8 + 6 - 9)*(2*s + s - 6*s) + (-s + s + 9*s)*(3 + 1 - 6).\nAnswer: -33*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -o + 1276*l - 1270*l - 1, -2*o + 8 = -2*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Is 4895995 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 185 minutes after 12:10 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 2*s**3 + 485804*s + 7463649.\nAnswer: 6*s**2 + 485804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4380 = 155*w - 5108 - 4852 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let a(u) = -u**3 + 2*u**2 + 6*u - 5. Let j be a(3). Suppose -2*z = -j*z + 144. Let k = z - 33. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -1794 + 863. Let i = a - -928.986. Let m = i + 2. What is m rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 8 a factor of 1559102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is -38742 divided by 2?\nAnswer: -19371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let i(h) = 7*h**3 - 43*h**2 + 12*h + 16. Let w(m) = 13*m**3 - 80*m**2 + 23*m + 31. Let p(f) = -11*i(f) + 6*w(f). Give p(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*z + 4*n - 5 = 5, 0 = 2*z + n - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 19 - ((-22)\/(-4) - (-55)\/(-110))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be 1 + 1 + 21\/(-231)*-275. Solve -s - k = -35 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*j - y + 10 = -2*y, 0 = -4*j - 3*y - 15. Let r(k) = 2*k**2 + 4*k - 1. Let l be r(j). Let u(d) = 4*d - 44. Let w be u(11). Solve x + w - l = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 597, 540, 485, 432, 381, 332, 285?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 818 - 818.000978. Round v to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 1035905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -25807\/4764 + 1\/2382. What is the common denominator of v and ((-1695)\/198)\/5 + 3?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*y + k - 9468 + 9456 = 0, 5*k = y - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {b: 3, l: 8}. Give prob of picking 2 l.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Work out 5 + 156.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*h + 5*u + 50, 0*u - 5*u - 25 = 0. Let k(y) be the second derivative of -y**3\/6 - 9*y**2\/2 - 4*y. Give k(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (o**(1\/3)\/(o*o**0\/o))**(-40) assuming o is positive.\nAnswer: o**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of (-5)\/(-20) - 8\/6 and -79\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(l) = 6*l + 34. Let y be z(-5). Suppose -2*r = -m - 7 + 24, y*r = 8. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 474 and 5619.\nAnswer: 887802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 200 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 19812.83749 - 19813. What is r rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: -1 + 3 + -2 - (24 - 20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 7302453 or 18?\nAnswer: 7302453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let r(k) = 2*k + 1. Let n be r(1). Let m = -16 - -19. Suppose 6*z + 12 = m*z. Put 0, n, z in ascending order.\nAnswer: z, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(h) be the third derivative of 1\/2*h**4 + 0 - 1\/6*h**3 + 17*h**2 + 0*h. Is j(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -4 by 324277.\nAnswer: -4\/324277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {c: 6, s: 4}. What is prob of sequence ccc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is -2321135 (base 6) in base 10?\nAnswer: -119507","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} -{"text":"Question: Simplify (m**14)**46 assuming m is positive.\nAnswer: m**644","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (103 - 9 - 24 - 29) + 25.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 23\/45 and 33\/35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Express 3*n + 28*n**2 - 8*n**2 - 5*n**2 in the form w + f*n + r*n**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -9 + 0 + -8 + 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 2*o**6*y**2 + 26*o**6 + 3*o**2*y**2 + 4*o*y**2 + 2 wrt o?\nAnswer: 240*o**3*y**2 + 3120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3 - 42 = 42*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -10*z + 22*z + 96 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -25810 = 65*r - 276*r - 234*r. What is the highest common divisor of r and 10034?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 9 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Sort -154, -1, -0.092, -0.2, -3\/2.\nAnswer: -154, -3\/2, -1, -0.2, -0.092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -4524 + 4519. Let v = 6.1 - -0.9. Sort z, 4, 0.4, v in ascending order.\nAnswer: z, 0.4, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(j) be the second derivative of -j**3\/6 - j. What is the remainder when 1 + -1 + -4 + (6 - -3) is divided by b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 2466 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Put 0, -2, 4, -161, -1, -4, 3 in decreasing order.\nAnswer: 4, 3, 0, -1, -2, -4, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Put 5, -1\/2, -2, -9 in decreasing order.\nAnswer: 5, -1\/2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (-20)\/(-40)*(7 - -1). Let z be 0\/3 - (-834)\/(-70). Let y = 61\/5 + z. Which is the nearest to y? (a) 3\/4 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -532, -1174, -2070, -3352, -5152, -7602, -10834, -14980?\nAnswer: -20172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let x(f) = -3960*f**2 - 27*f + 864. Let m(o) = -720*o**2 - 5*o + 157. Let k(q) = -27*m(q) + 5*x(q). Let u(i) = 9*i**2 - 2. Calculate 2*k(j) + 81*u(j).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Factor -m**4 - 21164*m**3 - 112359028*m**2 - 4024376928*m - 36157783104.\nAnswer: -(m + 18)**2*(m + 10564)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let n(w) = 14*w - 8 + 0 - 3 - 6. Does 7 divide n(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in 0.5, 0.4, -1\/5, 2\/9, -13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 7 + -7.5. Let f = -7 - -12. Which is the third smallest value? (a) h (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 455*n - 1576*n + 643*n = 2900*n + 87828 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is (147\/(-636) + 5\/20)\/((-8)\/(-16))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(i) = -1615*i + 194957. Determine c(120).\nAnswer: 1157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let s(b) = 7*b**2 + 6*b + 15. Give s(-5).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let t(q) be the first derivative of q**2\/2 + 4*q + 2. Let m be t(4). What are the prime factors of (-6)\/4*m\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 493490127 and 663?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 9482443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -4687\/22940 + 1\/620. Let w = -47\/962 - l. Factor 0 - 2\/13*j**3 + w*j + 0*j**2.\nAnswer: -2*j*(j - 1)*(j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s be (0 + -2 - -4)\/(4\/(-8)). Let i be -2 - (4\/(-10))\/(s\/80). Let r = 10 + i. Solve r = -4*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 4 + 22076ae?\nAnswer: 22076b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (o**(-2\/9)*o**(4\/7))\/((o\/(o\/o**(-1\/2)))\/(o\/(o*o**14*o))) assuming o is positive.\nAnswer: o**(-1783\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*h = 5*k - 8, h - 1 = -5*k + 1. Suppose c - 9 = -s - k*c, 5*s - 15 = c. Suppose s*r - x - 119 = 0, -r - 8 = 4*x - 59. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from jjjjjj. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 0 + 4 + (0 - -1). Suppose 2*o - 1077 = -5*u, -4*u = -0*u - p*o - 855. Suppose -u = -2*j - 3*j. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is ad6c3 + -2?\nAnswer: ad6c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (b**(-2\/3)\/(b*b**3))**(-21)\/(b\/b**(-1)*b*b*b*b**(2\/25))**(-47) assuming b is positive.\nAnswer: b**(8419\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the millions digit of 630694470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -29182*l**3*r*x + 13*l**3*x + 61*l**2*r - l*r*x - l*r - r*x + 274*x - 1 wrt l.\nAnswer: -175092*r*x + 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve -26*m + 170 = 14 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 203\/72 + 5\/72. Let a = -217\/72 + u. Sort a, 12\/5, -2\/9 in descending order.\nAnswer: 12\/5, a, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 985176 and 576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 41*a*d**2*w**3 - 2*a*d**2*w**2 - a*d**2 - 3*a*d*w**2 - a*w**3 - 3*d**2*w**3 - d**2*w**2 wrt w.\nAnswer: 246*a*d**2 - 6*a - 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 259 - 259. Solve -2\/7*z**3 + 2\/7*z + 0*z**2 + m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -0.002 - 5.398. Let x = 5 + i. Which is the smallest value? (a) x (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*x + 162 = 3*f, f + 154 = x + 2*x. Let u = 49 - x. List the prime factors of 0 + u + 87 + -4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {n: 2, m: 1, u: 2, o: 3, z: 8, e: 1}. Give prob of picking 2 n.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is -9208 times -188?\nAnswer: 1731104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (6*sqrt(1188) + sqrt(33) + (sqrt(3300) - sqrt(3300)*-2))\/((sqrt(63)\/sqrt(3) + sqrt(21) + sqrt(21))\/sqrt(7) - (sqrt(48) + sqrt(240)\/sqrt(5))).\nAnswer: -67*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -18*r + 4 = -17*r. Solve -r*d + 5 = -7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -15 + 17. Let r(p) = 2*p**3 - 3*p**2 + p - 2. What is r(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Are 38743 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Total of 867260277 and 115720.\nAnswer: 867375997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 3326009 (base 11) in base 5?\nAnswer: 2443210423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 19440 and 6060960.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 6627511 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let l(m) = -119671*m - 119702. What is l(-1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: (25 - (56 - 28)) + (28 - 1) - 3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Subtract 11.333718618575 from 0.4.\nAnswer: -10.933718618575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 4*m - 2*y - 22, -97*y = -2*m - 98*y + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 4 and 3303322.\nAnswer: 6606644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: 7b1ab (base 12) to base 7\nAnswer: 1253255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -4*a - 6*a**3 + 2*a**3 + a**3.\nAnswer: -3*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Does 321 divide 1386196189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Factor 5*z**3 + 105*z**2 - 5*z - 105.\nAnswer: 5*(z - 1)*(z + 1)*(z + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let b(g) = 2*g**2 + g - 16. Let c be b(-4). Let v = 17 - c. Suppose 2*r + 0*r - 31 = -v*j, -4*j + 11 = -3*r. Calculate the greatest common divisor of 10 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -7 - -10. Suppose -5*l - q*j + 9 = -30, 4*j + 53 = 5*l. Differentiate -l + 2 - 5 - 9*d - 1 wrt d.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*w - 2203 + 2189 = -2*g, -2*w + 20 = -4*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 231 minutes before 3:21 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is -11881\/2420 greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -44 + 88. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: 283318805 divided by 1093895\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -8.4 - -8. Let q = 8 - 7.7. Let i = q + -0.6. What is the second smallest value in s, i, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*f**3 + 8*f + 0*f**3 + 2 - 7*f)*(-2*f**2 + 0*f**2 + 3*f**2) + (-35*f**2 - 41*f**2 + 65*f**2)*(-2*f**3 + 3*f**3 + f**3).\nAnswer: -24*f**5 + f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -16 + 21. Calculate the common denominator of (-1407)\/(-120) - (-2)\/x and 6\/(-27) + (-2730)\/(-216).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(g) = g + 3. Give u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let l(i) = -9*i - 10. Let b(g) = -9*g - 8. Let d(p) = -7*b(p) + 6*l(p). Let y(v) = -10*v + 5. Calculate 5*d(z) + 4*y(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 0.4 + -49911.\nAnswer: -49910.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -1.77 - -1.47. What is the closest to 1\/3 in -2\/17, 0.1, -2\/15, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 422, 828, 1208, 1550, 1842, 2072, 2228, 2298?\nAnswer: 2270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: 0.15276 - -467241930\nAnswer: 467241930.15276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -a + dc?\nAnswer: d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -517c46b - 1?\nAnswer: -517c46c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (-2)\/7 - 4\/(-14). Let a = 53213 - 30253. Let t be 12\/(-21) - (-35856)\/a - 1. Is t bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 3*k**2 + 925320*k - 1850652.\nAnswer: 3*(k - 2)*(k + 308442)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Factor r**2 + 195*r - 150094.\nAnswer: (r - 302)*(r + 497)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let j(o) = -2*o**2 - 126*o - 774. Give j(-9).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 1\/12 + 527824\/(-6308544). Is q at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be (-9)\/(-4) + 3\/(-12). Let h be p\/(2*2\/12). Let q(t) = -221*t - 4. Let j be q(h). What is j rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 22 divide 1055714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*d + 2*d = 5*m - 26, 3*d = m - 13. Suppose 795 = 5*z + 7*p - 2*p, m*z + 5*p = 641. Let r = -41 + z. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*b + 7 = q - 7, b = 0. Suppose -8*v + 591 - 95 = 0. Let m = v + -27. Calculate the highest common divisor of m and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 174202 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 301 + -5?\nAnswer: 2c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let p(g) = g**2 + 7*g + 8. Let t be p(-7). Suppose -i = 2*q - 19, t*q - 57 = -3*i + 3*q. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-1)\/3)\/(((-49)\/7)\/168)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in -19, 2\/29, -0.026?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 223609524 to the power of 1\/2, to the nearest integer?\nAnswer: 14954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -253594, -1014370, -2282330, -4057474, -6339802, -9129314, -12426010?\nAnswer: -16229890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let l be (-1 + (-2)\/6)*126\/28. Let b(n) = -8. Let p(f) = -f - 6. What is l*b(m) + 8*p(m)?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*n + 2 = 10. What is the first derivative of -3*j**4 + j**n + 6*j**4 + 1 + 3*j**4 wrt j?\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(j) = 2*j**3 - 111*j**2 - 3*j + 19. Let r(h) = 2*h**3 - 112*h**2 - 2*h + 16. Calculate 6*i(k) - 7*r(k).\nAnswer: -2*k**3 + 118*k**2 - 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let u(h) be the first derivative of -h**3\/3 + 15*h**2\/2 - 28*h + 19. Suppose 7 = q - o - 0, -3*q - 3*o = -51. What is the lowest common multiple of u(q) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -f = 2*h + 6, -5*f - 10*h = -8*h - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(1296)*-1 + sqrt(1296) - sqrt(1296)) + sqrt(1296) - sqrt(9))\/(1*sqrt(192)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:40 PM and 6:19 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*g + 293 = 5*o - 6*g, 0 = 2*g - 6. Let z = o - 141. Let f = 606 + z. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*v + r + r - 84, -v = -3*r - 35. Let f = v + 92. Suppose 5*c = k + 2*k - 348, 2*c = k - f. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand -4*l**4 + 3*l**4 + 2*l**4 + (-2*l**2 + 2*l**2 - 2*l**3)*(4*l - 4*l + l) + (0 - 2*l**3 + 0)*(56 - 56 - 3*l) + 0*l**4 + l**4 - 2*l**4.\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let o(y) = -2*y + 4. Let k(i) = 5*i + 1. Let u be k(-1). Calculate the remainder when 22 is divided by o(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 222*k**4 + 207 wrt k.\nAnswer: 888*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 3 + 2000?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let v(a) be the second derivative of a**3\/6 - a**2\/2 + 2*a. Suppose 3*r - 7*r = -36. List the prime factors of v(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -4.02 + 0.02. Let x = -21 - -24.5. Let v = x + w. Put -4, 2\/9, v in ascending order.\nAnswer: -4, v, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 2287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let t(u) = -u**3 - 3*u**2 + 5*u - 2. Let q be t(-4). Let z be 33\/55 + (q\/10 - -1). Let n(i) = i**2 - 2*i - 1. Let f(l) = -l. Give z*n(c) - f(c).\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -24 = -2*b + 3*s, -2*b + 1 = -5*s - 31. Suppose 204 = -4*x + b*x. Suppose -7 + x = 5*i. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(o) = o**3 + 47*o**2 - 95*o + 408. What is the smallest common multiple of j(-49) and 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 10253 to the nearest 100.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve -11*y + m - 7 = -y, -2*m + m - 28 = -5*y - 5*m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 1.52 - -0.48. Let r = -35 + 104\/3. Which is the closest to r? (a) 0.2 (b) 1\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 10388*v**3 + 451*v**2 - 451*v**2.\nAnswer: 10388*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -180 - 0.2279.\nAnswer: -180.2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -p - 3*p - 12. Let f be (-110)\/(-3)*p\/(-2). Suppose 3*o = -5*i + f - 7, 3*i - 20 = -o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 9882.369 meters in kilometers?\nAnswer: 9.882369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 1133288195 and 7930.\nAnswer: 3965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -271*k = 2*w + 1363, -5*k = -330*w + 655*w - 330*w + 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -180*c**2 - 100 - 22208*c + 179*c**2 + 100.\nAnswer: -c**2 - 22208*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 1, 9.6, 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 1\/82844 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 12 a factor of 34428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the gth term of -4, -28, -68, -124?\n\"Answer: -8*g**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v(w) = -3*w - 3. Let s be v(-5). Suppose -5*b = -0*b - 200. Suppose 4*a + s = b. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many milliseconds are there in 53.30322 hours?\nAnswer: 191891592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:35 AM and 11:39 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 4581652631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8*h = 12*h - 16. Let w be h\/6 + 42\/(-9). Which is the closest to 1? (a) w (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(i) = -i**2 - 4*i + 6. Let u be r(-5). What is the nearest to 0.2 in u, -2\/9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(g) = -2*g + 5. What is r(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let m(u) = -4*u**3 - 17*u**2 - 15*u + 15. Is 21 a factor of m(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(o) = 27*o**2. Let x(p) = -113*p + 53*p + p**2 + 60*p. Give l(x(b)).\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let g(b) = -2*b**3 + 36*b**2 + 39*b - 11. Let c be g(19). Solve -4*m = -c*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -127*m**2*o**3 - 2*m**2*o**2 + 88*m**2 + m*o**4 wrt o?\nAnswer: -762*m**2 + 24*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0 + 0 + 2*m**2)*(-23*m - 15 + 15)*(-1 + 3 - 1) + (3*m**2 + 0*m**2 - m**2)*(11*m - 28*m - m).\nAnswer: -82*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 1150690 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve 55 = -6*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -10\/2209321 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2769174 is divided by 2155.\nAnswer: 2154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -162, -30, 102, 234, 366, 498?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 14624 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Work out 5 + 46584.\nAnswer: 46589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -2736.1 + 2808. Let g = -72.863 - 0.137. Let m = g + p. Which is the closest to m? (a) -2\/3 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in 5, -0.5, 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-5)\/1)\/(290\/(-1798))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 85 and 519455.\nAnswer: 8830735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-1*sqrt(440) + sqrt(440))\/sqrt(10) - sqrt(44))\/(sqrt(100) + (sqrt(100) - sqrt(100)*2) + sqrt(100) + sqrt(100)) + sqrt(275) + -1 + -2*sqrt(11) + 0.\nAnswer: -1 + 29*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Express 21*a - 15*a - 8*a + (-2*a - 3*a + 2*a)*(1 - 4 - 5) as i*a + d and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*q + 26*q - 672. Suppose -3*h = -9, 12 = x + 4*h - q. What is the highest common factor of x and 928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 8452\/37 or 0.1?\nAnswer: 8452\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.00394388 to four decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 12\/520 + -5 + 27\/5. Which is the nearest to 0.1? (a) 0 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -0.3 + 0.2. Let l = 7 + -7.3. Which is the smallest value? (a) l (b) 2\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y be -3*15\/9*-1. Suppose 4*w - 3*u - 23 = 0, -4*w + 2*u + 3*u = -33. Find the third derivative of k + 14*k**5 - 12*k**w - 3*k**y - k wrt k.\nAnswer: 660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 22086695*s**2 - 108262429.\nAnswer: 44173390*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (l\/(l\/((l\/l**(3\/8))\/l))*l**(-2\/7))\/(l**(2\/7))**41*(l*l**1)**13\/(l**2*l*l**(4\/5)\/l) assuming l is positive.\nAnswer: l**(433\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 458964\/352 + (-2)\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 1114794 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -13 = v - 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 36 = -2*n + 6*n. Let i(o) = o**2 - 9*o + 2. Let u be i(n). Let -6\/7*x**3 + 2\/7*x + 4\/7 - 8\/7*x**u = 0. What is x?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(z) = -200*z**2 + 2605*z + 5. Let o be l(13). Calculate the highest common factor of o and 4270.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-1)\/4*((-54)\/9 - -6). Let l(n) = 22*n. Let w be l(2). Suppose j = -3*u + 4*c + 5 + w, 2*u = 3*c + 32. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 99186, 396742, 892668, 1586964, 2479630, 3570666?\nAnswer: 4860072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 53 + (-19 - (-56 + 54)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 92236 - 92235.999907003. What is b rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 22361 + 28527 = 3411*l + 2856*l - 61918 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let c(q) = 2*q**2 + q. Let g be c(0). Let h(d) = -d + 2. Give h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 2*l**4*x**2 + 237513*l**4*x - 14*l**2*x**2 - 3*l**2*x + l**2 + 2*l*x**2 - 102 wrt l.\nAnswer: 48*l*x**2 + 5700312*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is -4 + 6045?\nAnswer: 6041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1537*0.02.\nAnswer: 30.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let w(u) = 15*u. Let f(y) = -22*y + 16. Give w(f(x)).\nAnswer: -330*x + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*x = -2*v + 24 - 14, 3*v + 29 = -5*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let c(l) = l**3 + 19*l**2 + 2*l + 42. Let t be (32 + 2037\/(-63))*(57 - 0). Determine c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 18 - 6\/(-12)*-18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be (-25)\/(-100) + 42\/(-8). Let b be (-611)\/117 - 1*z. Let w = -0.29 + 0.3. Which is smaller: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.01 + 30329659.3781?\nAnswer: 30329659.3881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 18.27 - -23.73. Which is the biggest value? (a) -4 (b) 0.17 (c) -1 (d) -3 (e) p\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-9)\/(-120))\/(31\/(4805\/(-93)))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let h(d) be the third derivative of -d**5\/100 - 81*d**4\/20 - 477*d**3\/10 + 4*d**2 - 681. Let h(p) = 0. What is p?\nAnswer: -159, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(h) = h**3 - 2 + 4 + 134*h**2 - 3*h - 136*h**2. Let z(o) = -2*o**3 + 5*o**2 + 7*o - 5. Give 5*v(u) + 2*z(u).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:09 PM and 6:59 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2184289 is divided by 2727.\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*f - 17 = -57. What is the nearest to 2.7 in 0.2, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(352)*-3*-5)\/sqrt(8) + (-1*(sqrt(1584)*-4*1 - sqrt(1584)))**2.\nAnswer: 30*sqrt(11) + 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let o(m) be the third derivative of -m**6\/120 - m**5\/60 + m**4\/24 + m**3\/6 - 3*m**2 - 14. Determine s so that o(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of (3 + -12 + 6)*425\/(-2070) and 113\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 60 divide 216568680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 2656 + -2656.3. Which is the nearest to 8? (a) -22 (b) -1\/7 (c) k (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(f) = f**2 - f. Let i be 0\/((1 - 0)*-1). Calculate x(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1086987 is divided by 47260?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -7 + 11 - 5 + 5*f + 1.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*u + 66 = 3*l - 40, -l = 3*u - 77. Calculate the remainder when u is divided by 37\/4 + (-14)\/(16 + 40).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*v - 40 = -4. Let u(b) = -2*b + 7. What is the remainder when u(v) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 391.36 to the nearest integer.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) -3 (b) -3\/7 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((h**2\/(h\/((h*h*h**(6\/7))\/h)))**(-1\/24))**(-23) assuming h is positive.\nAnswer: h**(115\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*d = -3, 4*p + 15*d - 216 = -215 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((w*w*w**(-2)*w)**(-35)\/(w**(1\/2))**(3\/5))**26 assuming w is positive.\nAnswer: w**(-4589\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-6*u**2 + 2*u**2 + 2*u**2)*(0 + 2*u**2 + 0) + (-84*u + 50*u + 69*u)*(2*u**3 - 2*u**3 - 4*u**3) to g*u + x*u**4 + b*u**2 + r*u**3 + l and give x.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-59*y - 1839*y + 13*y - 89*y)*(-12*y + 12*y - y**2).\nAnswer: 1974*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -16 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let h(t) = t**2 + 5*t - 3. Let o be h(-6). Find the first derivative of -f + f - f**3 - 5 + o wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 55\/33303 and 37\/2612.\nAnswer: 133212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of 13, -4, -39, -104, -211, -372, -599?\n\"Answer: -2*r**3 + 3*r**2 - 12*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 21767 is divided by 21760.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1485348325.\nAnswer: 5, 59413933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 4023 and 8046?\nAnswer: 8046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 1249, 2412, 3575, 4738?\nAnswer: 5901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 146 and 356386?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 2 + (5 - -1) - 3. Suppose 0 = -5*d + u - 18, -3*d - 2*d + 5*u - 10 = 0. Sort d, 0.1, g.\nAnswer: d, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*l + 3*l + 10 = 0. Let v = l - -6. What is the highest common divisor of v and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 4741157 and 1149?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*s - 615 = -210. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 9164005 to the power of 1\/2, to the nearest integer?\nAnswer: 3027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*q + 5*r + 18 = 0, 0*q = -4*q + r + 10. What is the smallest value in 11, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: (-484)\/(-110)*20\/(-8)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(a) = -a**3 + 5*a**2 + 9*a - 4. Let s be i(6). What is the tens digit of (-4 - (-3 + 1)) + s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0*w + 6*w + 4*d + 23 = -w + 6*w, -4*d - 17 = 3*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*k + 8 = 7*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 2\/(((-120)\/(-70))\/((3\/7)\/(-3)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: -45 (base 8) to base 2\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let z(v) = v**2 + 2*v - 4. Let l(a) = a**2 + 14*a + 9. Let q be l(-13). Let u be z(q). What is the second derivative of 3*n**4 - 2*n**u - n - 2*n + n**4 wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {j: 3, i: 3, p: 1, o: 6, e: 1}. Give prob of picking 1 p, 1 i, and 1 e.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: -101 (base 2) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*h + 14*x = 18*x - 11716, h - 2911 = 5*x. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 313032 (base 4) in base 8?\nAnswer: 6716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let z(g) be the first derivative of 2*g**3\/3 - 3*g - 3. Let s be 1\/((-1)\/8*2). What is the tens digit of z(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(s) = s**3 - 10*s**2 - 10*s + 8. Let j be t(8). Round j to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (3\/(-6) + 1)\/((-1)\/(-8)). Suppose 0 = a - h*x + 8, 0 = -a - 4*a - 3*x - 86. Let p(b) = b**3 + 17*b**2 + 10*b + 26. Is p(a) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -30824 - 2777*m**3 - 30824 + 123293 + 2776*m**3 - 30818 - 30827.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: How many kilograms are there in 11\/10 of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*z + y - 55 - 60, -4*z + 5*y = -145. Let s be (69\/(-2))\/((-9)\/z). Let d be 2*1*(-46)\/(-4). What is the highest common divisor of d and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be ((-92)\/6)\/((7 + -6)\/(-3)). Suppose -3*r - p = -22. What is the hundreds digit of ((-1614)\/r - (-7)\/28) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(t) = -t**2 + 5*t + 15. Let l be a(0). Let q(c) = -c - 1. Let p be q(1). Let k be 2\/p + 1 + 75. What is the highest common divisor of k and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 10113085 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 1757 and 3891253.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of (66\/9)\/((-6)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(k) = -k**2 + 24*k - 19. Calculate the remainder when 71 is divided by m(22).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 171 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1\/5? (a) -1\/3 (b) 2\/3 (c) -0.06 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 6*z**3 - 5*z**3 - 225*z + 14 + 226*z to u + w*z + h*z**2 + v*z**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*f - 25*q = -22*q + 3, -5*f = -3*q - 27. Let a = -15 - -18. Calculate the least common multiple of f and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 11 + -7. Suppose 7*k + 3*o = 4*k + 42, -40 = -q*k + 4*o. Let s = -4 + k. What is the remainder when 21 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(l) = -l**3 + 6*l**2 - 4*l - 7. Let r be v(5). Let n be (3\/1)\/(r\/(-42)). Let p = n + -28. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 77*i + 140 + 91 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: How many micrometers are there in 1264.445 nanometers?\nAnswer: 1.264445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 37317\/14*-4*1\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(s) = s**3 + 5*s**2 + 12*s + 63. Let k be j(-5). Suppose f = -4, k*m = -3*f - 2*f - 20. Solve 5*t + 3*n + 3 = m, 3*n = -1 + 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 16538 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 -w + 41 = -i - 2*i, 2 = -i - 2*w. Let r(z) = z**3 + 12*z**2 - 11*z + 7. Is r(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 49590 and 58.\nAnswer: 49590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let b(d) = -10*d + 108. Let s be b(10). Calculate the highest common divisor of s and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(b) = 793*b**2 + 13*b - 32. What is the hundreds digit of j(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -12495, -24361, -36561, -49263, -62635, -76845?\nAnswer: -92061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 5817*a**3 - 4*a**2 - 2336*a - 539865489?\nAnswer: 17451*a**2 - 8*a - 2336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 22\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1599706*n**3 - 799858*n**3 - 799842*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((v*v**(1\/47))\/v)**(6\/7)*v*(v*v*v**(-2\/25))\/v*v**(-17) assuming v is positive.\nAnswer: v**(-123883\/8225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) -275 (b) -0.2 (c) 15169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*y + 115205 = 3*q, -8*q - 76804 = -10*q + 2*y. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Add 4662.849 and 0.04.\nAnswer: 4662.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 33557485 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 6767*t - 2312*t - 2304*t - 2147*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: How many hours are there in 107.86491 nanoseconds?\nAnswer: 0.000000000029962475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-2*g - g + 4*g)*(-24 + 513 - 70)*(0*g + 2*g - 4*g) + (-2 + 0 + 1)*(-2*g**2 - g**2 + 0*g**2) to x*g + a + k*g**2 and give k.\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is -2 (base 8) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 20357 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 2811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (11616\/(-1408))\/((-3)\/(-4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 2265\/30 - (0 - 1\/(-2)). Suppose p = -q + 6*q. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(g) = g**3 - 15*g**2 + 12*g - 195. What are the prime factors of b(25)?\nAnswer: 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 312 + -602. Let x = p + 308. What is the lowest common multiple of 996 and x?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(a) = 5*a + 1. Suppose 5*s = 6*s - 7. Let i = s - 6. Let v be x(i). Calculate the greatest common divisor of v and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express (6*m - 6*m + 5*m**2)*(2*m + 0*m + 3*m) - m**3 + m**3 + 2*m**3 in the form b*m + h*m**3 + q + w*m**2 and give h.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 1114 and 2028782266?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 7*z**2 + 4*z**2 - 9*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: 30\/25 - 1 - (-24)\/5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -21\/15670 and 103\/60.\nAnswer: 94020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let n(i) = 3*i**2 + 2*i - 2. Let c(r) = -4*r**2 - 2*r + 2. Suppose -6*d + 162 = 144. Calculate d*n(p) + 2*c(p).\nAnswer: p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is l in 2*l**4 - 40*l**3 - 42*l**2 = 0?\nAnswer: -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 555, 556, 557, 558?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve 19*d + 5*s + 9 = 20*d, -4*d + 6 = -6*s - 4*s for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (7 - 111 + 37 - 79)*((1 + 0 + 0)*(0 + 0 + 3*c) + 0*c + 3*c - 4*c) to y + d*c and give d.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: 3355776 divided by 209736\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Sort -12, -3, 3, 604 in decreasing order.\nAnswer: 604, 3, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from kssxd. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) 8.029 (b) -38.6 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is fourty-three thirds of a hour in seconds?\nAnswer: 51600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 4278312\/113 < 37861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 261 - 548. Let g = -206 - d. Is -2 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 125 = -g + 5*b, 2*g - 3*b - 335 = -697 + 294 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -142*s - 133*s - 124*s + 524*s - 127*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve 117 - 885 = -76*k - 20*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let o(x) = 6 - x - 5 + 7. Let k be o(8). Which is the nearest to k? (a) 1\/3 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is 2 + 6a33?\nAnswer: 6a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve 103*y + 2 = o + 104*y, 2*o - 5*y = 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 21\/((12\/(-16))\/((-10)\/5)). What is the greatest common factor of p and 2632?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(g) = g**3 + 13*g**2 + 14*g - 40. Let l be t(-11). Suppose -4*p = -2*i + 3*i - 80, 3*i - 4*p - 240 = 0. What is the highest common divisor of l and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = i - 2, -36*m - 5*i = -41*m - 8720. Is -1741 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 1575 and 35070.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let i(g) be the second derivative of 8\/15*g**6 + 0*g**3 + 0 - 64\/3*g**4 - 2\/21*g**7 + 16\/5*g**5 + 0*g**2 + 16*g. Factor i(k).\nAnswer: -4*k**2*(k - 4)**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of -3*((-6)\/(-51) - 14048\/51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 28 + -23. Find the second derivative of 6*z + 0*z + 11*z**f - 3*z - 2*z**5 wrt z.\nAnswer: 180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -1 + 7 - ((11 - -7) + -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 3*w*z - 16*w + 18*z with respect to z.\nAnswer: 3*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 2.5 + -2. Let o be (-29)\/7 - 1\/(-7). Put o, t, -2\/3 in ascending order.\nAnswer: o, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 21 a factor of 37792563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Convert 215 (base 16) to base 10.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is three sixteenths of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence dxob when four letters picked without replacement from xdboe?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -914*f*l**2 - 69*f*l + 55045*f + 562*l**2 + 414 with respect to l.\nAnswer: -1828*f*l - 69*f + 1124*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 10137?\nAnswer: 3, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -19332 + 19332. Let w(o) = 2*o**2 + 2*o - 5. Determine w(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 88 - 64. Factor -1 - 5 + 3*p - z*p**2 + 2*p + 23*p**2.\nAnswer: -(p - 3)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 102822*x**4 - 2266*x - 7?\nAnswer: 1233864*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is -4 + 0.07632?\nAnswer: -3.92368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: How many milliseconds are there in 3318.208 weeks?\nAnswer: 2006852198400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 428881351?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*i + 5 = w - 15, i - 3*w - 5 = 0. Let f be (-1)\/i + 27\/85. What is the closest to -3 in -1, -0.4, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(f) = 84*f + 4. Is 34 a factor of h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 29\/12 + -19\/6. Let o = 12.28 - 1.28. Let t = o - 12. What is the fourth smallest value in 1\/2, -3\/2, d, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4*(sqrt(448) + 5 + sqrt(448)*-5)**2.\nAnswer: -1280*sqrt(7) + 28772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let c(x) = x + 1. Let q be c(-1). Suppose q - 6 = -l. Let n = -7 + l. Put -2, 1, n in ascending order.\nAnswer: -2, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 25*i - 17*i = 6296. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-4*-3*sqrt(176))**2 - (-2*sqrt(275) + (sqrt(11) - sqrt(77)\/(sqrt(7) - sqrt(7)*-1)))) + 1.\nAnswer: 19*sqrt(11)\/2 + 25345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 32 = -2*s - 4*n, 0 = -30*s + 25*s - 3*n - 52. What is the tens digit of (-2790)\/(-8) - 2\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -38\/9 + 284\/63. Which is the third biggest value? (a) g (b) -2 (c) 1\/2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (2\/(-5))\/(157\/(-4710))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Add -0.7385 and 13.\nAnswer: 12.2615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Express 0*s + s**2 + 0*s + (41 - 68 + 36)*(-690*s**2 - 325701 + 325701) in the form y*s**2 + u + i*s and give y.\nAnswer: -6209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let w(x) = 214*x**3 + x**2 - 12*x + 11. Calculate the remainder when w(1) is divided by 57.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of 201559524, 403119051, 604678578?\n\"Answer: 201559527*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let j(y) = -y**2 + 2*y + 17. Let s be j(-3). Solve -5*q - 15 = 0, -s*q + 8 = -2*h + 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*i - n - 7 = 0, -5 = -2*i - 3*n + 4*n. Suppose 18 = i*l + 6. Does 4 divide 3\/l - (-84)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the cth term of -643, -661, -679, -697, -715?\n\"Answer: -18*c - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve -1486 + 1423 = -9*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Do 1\/438150 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -517 = -4*y - 3*v, 127 = y - 0*v + 3*v. What are the prime factors of y?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -44 + 8 - (-40 + 67 + 0)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(209) + (sqrt(209)*1 + sqrt(209))*3 + sqrt(209) + 6*-1*sqrt(209))\/(sqrt(55)\/(sqrt(5) - -4*sqrt(500))).\nAnswer: 82*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 3 - 6. Sort 3, -1, u in descending order.\nAnswer: 3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*n - 5451 + 53796 = 0. Let m = 16773 + n. Let o = m - 127915\/18. Calculate the common denominator of -109\/24 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-4)\/12*-12)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 154 (base 6) to base 10\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (p*p**(-11)*p)\/p**(1\/18)*(p*p**10)\/(p**(17\/5)*p) assuming p is positive.\nAnswer: p**(-221\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1465.\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Sort 116, 4, -121 in increasing order.\nAnswer: -121, 4, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Factor -4*u**2 + 248820*u - 6715224.\nAnswer: -4*(u - 62178)*(u - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 36 and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is 3267816 a multiple of 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is -3 divided by -39646314?\nAnswer: 1\/13215438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 250.4527 + -250.24070103. Let p = c + -0.212. Round p to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 80272183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 7 - 3. Let u = 8 - -8. Let s = 4 + -1. Solve s*v + 5*x - x = -u, -j*x = v + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 53\/16568 and 125\/48?\nAnswer: 99408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (15 - 7)\/(-18*12\/702).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 38979 - -337421. Round b to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -12031, -24062, -36093?\nAnswer: -48124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 4*h**3 - 1174*h*n + 212*n + 46 wrt h.\nAnswer: 12*h**2 - 1174*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Is 7431689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of -6911, -12868, -18813, -24740, -30643?\n\"Answer: k**3 - 5964*k - 948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let s(h) = -3*h**2 + 3101 - 3101. Let z(b) = 59*b**2 - 253*b**2 + 54*b**2 + 63*b**2 + 52*b**2. Calculate z(s(a)).\nAnswer: -225*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 30 + -28. Suppose -n = -v + i, -5*v + v - 4*n = 0. Solve t + 2 = v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 89\/66 - 161\/138\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 4\/15, -46, 3\/11, -11, -3\/7.\nAnswer: -46, -11, -3\/7, 4\/15, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} -{"text":"Question: Let n = 12038.287 - 12035. What is n rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(s) = 109*s**3 - 20*s + 863. Let g(b) = 0 + 178 - 7*b + 110 + 37*b**3. Let f(j) = 8*g(j) - 3*t(j). What is the derivative of f(h) wrt h?\nAnswer: -93*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (66 - 66 + 18*v**2)*(1556*v - 1556*v + 25*v**2).\nAnswer: 450*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 4, j: 3, s: 3, x: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} -{"text":"Question: Put -7769, -4, 0 in ascending order.\nAnswer: -7769, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let r(u) be the first derivative of u**2\/2 - 4. Let f(g) = 8*g. Calculate f(r(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-7)\/(-21))\/(((-16)\/3)\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let h(r) = 11*r**3 - r**2 + 2*r - 1. Let p be (1\/(2\/(-2)))\/(-1). What is the remainder when 21 is divided by h(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4638 + 982 = 2*x + 234*x + 4132 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 219678 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 14 = -v + 5*c, -v = 2*c - 4*c + 2. Let a = v - -2. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*c + 20 = -4*q, q + c - 2 = 1. Let z = q + 4. Suppose -2*i - z*i + 705 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 352\/(-154) + (-56508)\/(-24514)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*l - 73 = 3*f - 144, -54 = 5*l - 2*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: -57 + 76 + 13 + (0 - -2) + -3 + 5\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let r(u) = -u**2 + 5*u + 5. Suppose 4*q + 12 + 8 = 0. Let d(k) = -4*k - 4. Determine q*d(x) - 4*r(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 1372319 at least as big as 1372318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.6654734 + -1.\nAnswer: -1.6654734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*f - 4*m - 9662 = 0, 3*f + 14501 = 6*f - 2*m. Calculate the lowest common multiple of 10 and f.\nAnswer: 9670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 559 minutes before 8:58 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Round -10.958424 to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let n(t) = -3*t + 22. Let v be n(9). Let k be 1\/2 - (436\/24 + 0). Let i = -16 - k. What is the third biggest value in 0.4, i, v, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 15009 and 34475673?\nAnswer: 34475673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let j(q) = -895*q**2 + 10 + 5 + 2*q + 896*q**2 + 2*q. Let y = -5 - 3. What is the units digit of j(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let -3*l**4 - 20514*l**3 - 34945020*l**2 + 424049250*l + 2991309375 = 0. What is l?\nAnswer: -3425, -5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {w: 5, c: 4, o: 5}. What is prob of picking 1 c and 1 o?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let q be -13499991 + 2 + (0 - -1). Let a be q\/(-54) - 4\/(-18). Round a to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(h) = -h + 16. Let c(l) = 3*l**2 + 41*l - 3751. Let o(p) = c(p) + 5*t(p). What is the first derivative of o(i) wrt i?\nAnswer: 6*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n be (-7 + 3)*(-3)\/(-2) - 270\/(-18). Solve -3*u - n = -3*w, 4*w - 10 = 5*u + 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from lllddddzjzdlddld.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 332 and 23634167.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (6\/(-2))\/(32\/(-290 + -30)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the gth term of 163028, 326192, 489366, 652550, 815744, 978948?\n\"Answer: 5*g**2 + 163149*g - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -24 + 29. What is the third derivative of -4*d**2 - 9*d**4 + 2*d**2 + 0*d**2 - b*d**2 wrt d?\nAnswer: -216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*p + 8*p = 0. Let y = -1125\/2 - -588. Let s = y + -26. Are s and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(o) = 2*o**2. Let u(j) be the third derivative of j**5\/30 - j**2 - 11*j. Determine -3*m(n) + 2*u(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:25 AM and 11:29 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -41 + 18 + 64 + -44 + (-3 - 14).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let q(m) = -m**3 - 5*m**2 + 6*m - 3. Let c be q(-6). Let d be 4 - -1*(2 + c). Solve -2*a + 15 = 5*r, -r = -2*a - a - d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -4 + 3. Let t = -2252\/9 - -250. Is t smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 6, 1602, 4, 25, 1, -4 in increasing order.\nAnswer: -4, 1, 4, 6, 25, 1602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of -57636, -102060, -146484, -190908, -235332?\n\"Answer: -44424*b - 13212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 113840436 divided by 1?\nAnswer: 113840436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let n(l) = -3*l**2 + 3*l - 5. Let j be n(-2). Suppose -82 = 4*g - 5*x, -2*g + 13 = -3*g + 5*x. Let m = j - g. Solve m = 5*w - w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -1 - 12297*o + 11632*o + 6.\nAnswer: -665*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 366, 991, 2694, 6015, 11494, 19671, 31086, 46279?\nAnswer: 65790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -62*x + 103*x + 59*x + 113*x + 6*x.\nAnswer: 219*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let h(u) = -3*u + 82. Let w be h(26). Suppose -50 = -2*g - 4*b, w + 11 = 2*g - 3*b. Calculate the least common multiple of 42*((-9)\/6 - -2) and g.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is 256 + -1?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 15.7 - -0.3. Let b = 275.9 - 292. Let o = b + w. What is the second smallest value in o, -1, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert -101120 (base 3) to base 13.\nAnswer: -18c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 5 - 0\/2 - -19 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: -131101113 (base 4) to base 16\nAnswer: -1d457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*k + 7 - 3 = 0, -4*k = i + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 2*d**2*i**5 + 3*d**2*i**2 + 7*d*i + 1317*i**5 + 2*i**2 - 14 wrt i?\nAnswer: 120*d**2*i**2 + 79020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*l + 32*u = 3*l - 127, -l - 5*u = -0*l - 22 + 41 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((v*v**1*v)\/v**24)\/((v\/v**(2\/7))\/(v**(-1\/64)*v)) assuming v is positive.\nAnswer: v**(-9287\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.000044955002 rounded to 7 dps?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let h(i) = -3*i**2 - 970*i - 240098. Let f(v) = -v**2 + 5*v + 1. Let x(g) = -6*f(g) + 3*h(g). Solve x(j) = 0.\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} -{"text":"Question: What is the tenth root of 7268579 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -12*n = -18*n. Let q(u) be the second derivative of n*u**4 + 2*u + 0 - 1\/6*u**3 - 1\/10*u**5 + 0*u**2. Find the second derivative of q(d) wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(i) = i**3 + 3*i**2 - 8*i - 4. Suppose 20*s + 20 = 16*s. Determine o(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (-10)\/(-125)*(-85)\/3 - -2. Let v be (2\/(-6))\/((-119)\/(-357)). Sort 2, v, r in decreasing order.\nAnswer: 2, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 919 + 1030*c**3 + 112*c + 502*c**3 - 1836 + 916 wrt c?\nAnswer: 9192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 723 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let l(w) = -w**2 - 4*w + 6. Let u be l(-5). Let o be (-1*0\/3)\/u. Suppose 5*x - 2*k - k = 5299, o = 5*k - 10. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(i) = 29*i**2 + 3*i + 10. Let w be s(4). Suppose 6*r + 15 = 2*n + 3*r, -n - 10 = 2*r. Suppose -b = -y - w, n*b + 4*b + y - 1969 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let n be -3 + (-1 - -2) + 2 + -3. Let q be (-9)\/7 + (6 - 5). Which is the second biggest value? (a) n (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: 101110110110 (base 2) to base 16\nAnswer: bb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -4*l**2 - 211*l + 215*l + 0*l**2.\nAnswer: -4*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 5248503*q - 51070887 wrt q.\nAnswer: 5248503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let f be 105\/(-10)*60\/(-7). Let w = -62 + f. What is the remainder when 81 is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be -2 + (6 - 4) + -3. Let d(y) = -252*y + 7 + 88*y + 82*y + 86*y. Give d(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is (-55)\/(-44)*(-16)\/(-2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1116 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let m(t) = -t**3 + 18*t**2 - 13*t + 236. Calculate m(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let i(q) = q**3 + 4. Let k(b) be the third derivative of b**6\/120 - b**3\/6 + 11*b**2. What is i(m) + 4*k(m)?\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let s(d) = -d**2 + 24*d + 83. Let j be s(27). Which is the second smallest value? (a) 0.4 (b) j (c) 2\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(j) = -10*j + 98. Let v be r(9). Solve p = v - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 11.4 - 11. Sort -2\/27, 2, i, 1 in increasing order.\nAnswer: -2\/27, i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*c = -6*c + 6. Suppose 0 = 2*i - c*i + 12. Suppose d = -4 + i. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(d) = -3 + 65998*d**2 + 2 + 0*d + 6*d - 3*d. Let x be w(1). What is x rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 17 - 15. Suppose 3*b = g*b. Suppose -3*h = -2*k + 57, 2*k + b*h = h + 59. Calculate the remainder when k is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -433*x - 2*x**2 + 569 - 569.\nAnswer: -2*x**2 - 433*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 1761 + -1760.6. Let l = -212.9 - -232. Let y = 19 - l. What is the second smallest value in 2\/7, -14, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Factor -d**3\/9 - 59*d**2\/9 - 88*d\/3 + 36.\nAnswer: -(d - 1)*(d + 6)*(d + 54)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*a - 2*h - 12 - 9, 4*a - 3*h = 27. Let q be 4 - 0 - (0 + 2*-205). Suppose 7*c - q + 169 = 0. What is the remainder when c is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -15 + 26 = -g + 4*f, 2*f = g + 5. What are the prime factors of 184\/((7\/(-21))\/(-2 + g))?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -229*i + 2030 = -287*i. Let v(p) = 45*p**3 + 35*p + 35. Let m(z) = 5*z**3 + 4*z + 4. What is i*m(t) + 4*v(t)?\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -1013.6 + 1013.6000008201. Round z to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(o) = -2*o - 5. Let x be a(-7). Let j(n) = -n**2 + 11*n - 10. List the prime factors of j(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 37\/5214 and 75\/316.\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Expand (s - 2*s + 2*s)*(-s**3 + 3*s**3 + 0*s**3 + (-2*s**2 - 2*s**2 + 3*s**2)*(-349*s - 10273 + 10273)).\nAnswer: 351*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 252 = -8*a + 11*a. Suppose -4*k + 204 = -a. Calculate the highest common factor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4 = 4*r + x, 3*r = -3*x - 0 + 12. Suppose -76*s - 21 = -79*s. Suppose 0 = 4*m + s*m - 11. Solve r = w + m - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(y) = y**2 - 14*y + 10. Suppose 0 = 6*m + m - 49. Let l be (m + (-4 - -4))*3. List the prime factors of j(l).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 75 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 2.793 - 2.8. Let r = -0.0119 + a. Let z = -0.014 - r. Round z to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 4\/36 + (8944\/9)\/2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1\/3 in -1, -2\/3, -17, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 79*g - 381 = -48*g. Solve -g = -9*y + 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*c + 21 = -q + 15, 4*c + 1 = q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of 935, 1990, 3057, 4142, 5251, 6390, 7565, 8782?\n\"Answer: d**3 + 1048*d - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Sort -5, 16, 0.05, 0.25021, 2\/9 in decreasing order.\nAnswer: 16, 0.25021, 2\/9, 0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0000032158247 to seven decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -792 + 794. Let g(p) = p**w + 13*p - 10*p - 8*p. Let a(h) = 4*h**2. What is g(a(f))?\nAnswer: 16*f**4 - 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -41, -50, -65, -86?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7*v + 13*v = -216. Let g = v - -38. What is j in 1\/2*j**g - 1\/2 - 1\/2*j + 1\/2*j**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -13 = -24*s + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*w = 342*d - 343*d + 9, w + 12 = -5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Put together 1.1 and -350058.\nAnswer: -350056.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 111 + -101 - (1 + 16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -5+-210980900\nAnswer: -210980905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let s(x) = -2617*x**3 + 13*x**2 - 25*x + 8. Let k(g) = -1745*g**3 + 9*g**2 - 17*g + 5. Let f(a) = 7*k(a) - 5*s(a). Is f(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 300 = 10*x + 5*x. Suppose 0 = 19*f - 14*f - x. Solve -f*t + 2*t + 6 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0 - (-87)\/(-27) - -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the yth term of 47980, 47979, 47978, 47977, 47976?\n\"Answer: -y + 47981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Convert 70b6 (base 15) to base 10.\nAnswer: 23796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (1 + -107 - (-14 - 6 - (-3 + -11))) + 4?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let c(q) = q - 8. Let j be c(10). Let m = j - -1. Let l = -2 + 4. Which is bigger: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((x\/(x\/x**10)*x**(21\/4))\/(x*x**(-12)\/x)**(-36\/7))**(1\/5) assuming x is positive.\nAnswer: x**(-1301\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4 - 5 + 29)*(3*q**3 - 3*q**3 - 3*q**3) + (0*q - q - q)*(-10 + 10 - q**2).\nAnswer: -82*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth biggest value? (a) 15 (b) 37 (c) -1\/10 (d) 3\/2 (e) -21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 3127861337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.2 * 1518967.8.\nAnswer: -303793.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Does 32 divide 348096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 177 + -126. Let o = i - 51.3. Which is the third smallest value? (a) o (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 1554.99998543 - 1555. What is t rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1.14 + -45.\nAnswer: -43.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let b be 10\/9*(-20 + (-2544)\/(-120)). Let b*k**2 + 4\/3 + 8\/3*k = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 10652757 is divided by 683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 1668225\/8 - 207811. Let p = -716 + x. Find the common denominator of -97\/8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*r**2\/7 - 799986*r\/7 + 1599980\/7.\nAnswer: -2*(r - 2)*(r + 399995)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 30108 + -30105. Which is the fourth biggest value? (a) -2\/3 (b) 5 (c) j (d) -77\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 106 is divided by 84.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4*o**2 - 2*o**2 + 0*o**2)*(2*o - o + 2*o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 59 + -59. Solve -3*a - 3*z - z + 1 = f, 2*a + 18 = 2*z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: (2 - 5)\/(6*(-1)\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 2\/1162094079 or -1?\nAnswer: 2\/1162094079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3*y**4 - 585*y**3 - 28809*y**2 - 28227*y.\nAnswer: -3*y*(y + 1)*(y + 97)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: (-27)\/(-18)*(-20)\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 23868 is divided by 320.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is 14795 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve 14*l - 2 = 16*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 8235 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0? (a) 8\/21 (b) 47.72 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Expand -n**3 + 2*n**3 - 2*n**3 + (2*n**2 + 0*n**2 - 3*n**2)*(0*n + 3*n - 2*n) - 81686419*n + 81686419*n - 6457*n**3.\nAnswer: -6459*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 8 + -7. Let b be 10\/10 - (-10 - l). Let f be 1\/6 - 32882\/b. Round f to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 341\/10 + -34. Let b = -4.6 + 8.49. Let x = b - 0.89. What is the second smallest value in h, x, -2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 16464 and 1450512.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 3\/32 of a millisecond in nanoseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 23 = 5*k - 32. Suppose -17 + 27 = 3*h - s, -4*s = 5*h - k. Solve g - 3*p = 15, h*p + 14 = -1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -464, -3610, -12140, -28754, -56152, -97034, -154100?\nAnswer: -230050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 6415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the millions digit of 1813994791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 6475290 and 3630?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (240\/480*6\/(-27))\/(4\/18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -59*r + 44*r - 60 = 0. Let h(s) = 3*s**3 + 4*s**2 - 4*s - 5. Let b(w) = 8*w**3 + 11*w**2 - 11*w - 14. What is r*b(l) + 11*h(l)?\nAnswer: l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of 96, 100, 92, 66, 16, -64, -180?\n\"Answer: -i**3 + 11*i + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let j(f) = 3*f - 145. Let g(q) = -30*q + 1518. Let l(b) = 2*g(b) + 21*j(b). Let s(o) = 90*o. What is s(l(i))?\nAnswer: 270*i - 810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let n(o) = -26*o**2 - 7. Let b(x) = 13*x**2 + 3. Determine -7*b(k) - 3*n(k).\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -615 - -615. Factor c**3 + 1\/2*c**4 + 1\/2*c**2 + f*c + 0.\nAnswer: c**2*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -18 + 22. Calculate the smallest common multiple of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: -8586351 (base 9) to base 5\nAnswer: -2134311144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*u = -4*i - 3, 47098*u - 4 = 47094*u + 4*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose x - 4 + 0 = 0. Let w be 1\/(-4) - (-9)\/x. Suppose 0 = 2*o + w*o - 360. What is the highest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 4468093 is divided by 248202.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -2\/3 in 5, 0, 225.41, -1.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -42 - -69. Suppose -5*f = l - z, -l - 5*f = -7*f + 8. Solve -8 - 2 = -l*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 30960 and 172.\nAnswer: 30960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is 1141 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -72*i**4 + 2*i**2 - 112*i + 3.\nAnswer: -864*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*x - 5 - 1 = 0. Let i(c) = 2*c - 2. Suppose 21*t - 18 = 19*t. Calculate the lowest common multiple of i(t) and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert -238 (base 11) to base 7.\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*w + 23 = 27. Calculate the greatest common factor of w and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(j) = -j**3 + 13*j**2 - 9*j + 10. What is y(12)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 67627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1939914?\nAnswer: 2, 3, 107773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -676, -675, -674, -673?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 40 and 12280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 708 - 715. Let d(y) = y**3 + 5*y**2 - 16*y - 7. What is d(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 3*a**2\/4 - 346797*a\/4 + 19383000.\nAnswer: 3*(a - 115375)*(a - 224)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is 1410.9678 rounded to 1 decimal place?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let p(z) = 0*z**2 + z**2 + 2*z**2 - 2*z**2. Determine p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 7*u = 3*u + 184. Suppose 4 = 3*a + u. What is the remainder when 13 is divided by 6\/(-3)*a\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 5501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*m + 3*s - 32, 4*s = 5*m - 73 + 2. Calculate the remainder when m is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(s) = 4*s - 10. Suppose v + 8 = 13. Is j(v) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 574 - 9181\/16. Let o = f + 391\/48. What is the common denominator of o and 48\/55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 21513?\nAnswer: 3, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Is 808721209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let n(v) be the first derivative of 2*v**3\/3 - 15*v**2\/2 + 3*v + 13. Does 5 divide n(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 7350 is divided by 51?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let m(f) = 4*f - 8. Let n be m(3). Let g(q) = 10*q - 10. Let j be g(n). What is the highest common divisor of j and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(b) = 44*b - 1. Let i be j(-1). Let f = 42 + -44. Let r be (-8)\/f - (-198)\/i. Which is bigger: r or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -10*v + 7*v - 24. Let i(o) = -o**2 + o. Let h(q) = q + 5*q + 0*q + 1 + 4*q**2 + 1. Let b(u) = h(u) + 3*i(u). Determine b(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(152)\/((sqrt(32) + sqrt(8) - sqrt(8))*-3) + 1*sqrt(931) + 2 - (-2 + 1 + sqrt(684) + 5)**2*6.\nAnswer: -4198 - 1687*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Put -1, 0, -12, 5, 34, 1 in descending order.\nAnswer: 34, 5, 1, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let w(n) = n**2 + 13*n. Let f(c) = 2*c**2 - 13*c. Let g(d) = f(d) + w(d). Let l(i) be the third derivative of 47*i**4\/24 - 9*i**2 - 3. What is l(g(y))?\nAnswer: 141*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Expand -2*c**5 + 2 - 2 + (-2 + 3 + 7 + 2*c)*(-2*c**3 + 2*c**3 + 8*c**4).\nAnswer: 14*c**5 + 64*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -4*(((-63)\/(-98))\/(330\/(-44)))\/(12\/(-21)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {t: 2, m: 7}. What is prob of picking 2 m and 2 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let v(o) = 4*o. Let t(j) = 3*j**2 + 43*j. What is v(t(n))?\nAnswer: 12*n**2 + 172*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:02 AM and 4:19 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 0.4 (c) -2 (d) -1\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 2 in 2, 7, 5, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 12 - 8. Suppose 35 = -3*f - l*v, f - 2*v + 0*v = 5. Calculate the lowest common multiple of 22*(-1)\/5*f and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(y) = -7*y**2 - 41*y + 8. Suppose -5*v = -10, -3*v + 6 = -2*p - 6*v. Let s be c(p). Let t be 2*(-1)\/2 - -1. Solve 2*n = o - 3 - s, 3*n + 3 = t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(v) be the first derivative of 13*v**4\/4 + 2*v**3\/3 - 2*v - 3. Let q(b) = 416*b**3 + 65*b**2 - 65. Determine -65*h(a) + 2*q(a).\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Convert -4185356 (base 9) to base 7.\nAnswer: -25023141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (2*(-1)\/(-4))\/((-9)\/(-306)). Which is bigger: 2\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 77.06887 litres in millilitres?\nAnswer: 77068.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: -0.00695617 - -90\nAnswer: 89.99304383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 41\/((-4000)\/(-1984) - (0 + 2)). Suppose q = 2*c + 158. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -218.95 - -224. Let s = 4.85 - x. Which is the nearest to -0.1? (a) s (b) -4 (c) 0.1 (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -2415967040 less than 96?\nAnswer: 2415967136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 1331006556, 1331006555, 1331006554, 1331006553?\nAnswer: 1331006552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -1, 0, 3, 8, 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let i(z) = -2 + 0 + 2 - z - 6. Let j(h) = -h**2 - 8. Let r be j(0). Let p be i(r). Solve -p*d = 3*d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of 9474, 10336, 12676, 17232, 24742, 35944, 51576?\n\"Answer: 123*q**3 + q**2 - 2*q + 9352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let n(h) = -1060*h - 4238. Let u be n(-4). Sort 44, u, 5, -4 in increasing order.\nAnswer: -4, u, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 113\/78 and -53\/356.\nAnswer: 13884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 20 - 1. What is the remainder when 37 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: -344 (base 5) to base 12\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2\/3*y**2 - 116*y + 672 = 0.\nAnswer: 6, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(s) be the first derivative of -5 + 1\/2*s**2 - 13*s. Let n be i(17). Solve 18 = g + n*o, 0 = -3*g + o - 0 + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 46*v - 1448 - 576. What is the greatest common divisor of v and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -460, -1961, -4578, -8407, -13544?\nAnswer: -20085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 6 minutes before 6:44 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 0 times 1985000.79?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from mvfjv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-4*y - y + y)*(12 - 4067*y**3 + 6*y**2 + 18 + 4068*y**3 + y) to the form l*y**2 + z*y**4 + d*y**3 + i*y + h and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.0032790313 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: How many micrometers are there in 79.36645km?\nAnswer: 79366450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -6046*n - 6043*n + 12114*n.\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is 1856 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Expand 7*q + 4*q + 5*q + (1 - 1 + 1)*(2*q - 5*q + 2*q) - 2 - 3*q + 2.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 686730 is divided by 450.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 0.7712639 - 429.7959639. Let c = -429 - u. Round c to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(z) = -z**3 - 6*z**2 - 2*z - 9. Let t be b(-6). Suppose 4*p - 438 = 3*p + t*d, p = 2*d + 437. Suppose p = 5*h + 50. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -9769\/2 in 5, -1\/7, 0.1, 4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -130 - -135. Sort 3\/5, n, 6 in descending order.\nAnswer: 6, n, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2572421?\nAnswer: 2572421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the zth term of 705812, 1412248, 2118684?\n\"Answer: 706436*z - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0000655200634 to 6 dps.\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 34 - -78. Suppose 4*s - 299 = -3*u - 65, -u = 2. What is the remainder when k is divided by s?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(c) = -c - 6. Calculate g(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -3.8 - -2.8. Let r = 4 + 14. What is the closest to r in x, 1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 434051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*s - 4*n - 246 = -8*s, 5*n = 3*s - 145. Suppose 3*v + s = 8*v. Calculate the least common multiple of 4 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand -28 - 1 + 2*q**2 - 23 + (12 - 7 + 18)*(-1 + 1 - 3*q**2).\nAnswer: -67*q**2 - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Convert 41.35637cm to meters.\nAnswer: 0.4135637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 54 - ((9 - ((9 - 9) + 16)) + (-8 - -19))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 16 + -3 + (-10 - 1469\/481).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -104 - -120. Calculate the remainder when (16 - 22) + 132\/2 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 3\/10? (a) 2\/95 (b) -0.1 (c) 134\/7 (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let n(z) = -z**3 - 5*z**2 - 5*z. List the prime factors of n(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 534257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -123 - -459\/4. Let u be 3*1 + 4 + 8396\/64. Let m = -138 + u. Calculate the common denominator of c and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = l - 5*f + 6210, 0 = -2*l + f + 2483 - 14885. Round l to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(s) = 149*s - 1017. Let o be a(7). Solve -5*i - 2 = o*u - 28*u, -i = 3*u - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of 63985, 64164, 64463, 64882, 65421, 66080, 66859?\n\"Answer: 60*h**2 - h + 63926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 21016 - 20990.978. Let d = 25 - z. What is d rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(y) = 27*y - 33. What is the hundreds digit of v(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine x so that 2*x**4 + 52*x**3 + 378*x**2 + 608*x + 280 = 0.\nAnswer: -14, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is -61500 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let w(u) = 4*u + 2. Let n(b) = 6*b**3 - 4*b + 3. Suppose -2*k + 3*r = -12 - 4, 4*k - 4*r - 24 = 0. Calculate the remainder when n(k) is divided by w(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(k) = k + 6. Let v be w(-6). Suppose 0 = -5*y - 15 - 0. Let i be 2 - (1 + 2) - y. Solve v*l = i*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -32.645794 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is -100001 - -1101222012?\nAnswer: 1101122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*z = 4*o + 5, 2*z - 390*o + 386*o - 26 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is -4 - -20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 112*t - 187*t - 37*t + 117*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the lth term of -272, -270, -266, -260?\n\"Answer: l**2 - l - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 477*b + 5*b**2 - 3238*b**3 + 2 - 1571*b**3 - 477*b.\nAnswer: -4809*b**3 + 5*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let z be -7801*(-3)\/(-45) + 3\/(-9). Let m = z + 521. Let q = 3 + -4. Sort m, 0.3, q in ascending order.\nAnswer: q, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 8714707231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*i**4\/11 - 57202*i**3\/11 - 286062*i**2\/11 + 57202*i\/11 + 286060\/11 = 0.\nAnswer: -5, -1, 1, 28606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -t - 7 = 3*w, 0*t - 14 = -t + 4*w. Let m = 6 - 4. Solve 0 = -m*i - 4 + t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-1 + 1 + 2 + -3 - -1) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Does 45 divide 3646035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 121392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -3*n + 6*n + 3*i + 6, -2*n + 8 = -4*i. Let l be (-3)\/(3\/(-4)) - -1. Solve -15 = l*t, -5*j - 3*t = -n*j + 34 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 89273.\nAnswer: 89273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let k(i) = i**3 + 10*i**2 + 23*i + 4. What is k(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Sort -9.073, -4, 1, -0.2, -0.002 in decreasing order.\nAnswer: 1, -0.002, -0.2, -4, -9.073","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} -{"text":"Question: What is thirty-four fifths of a decade in years?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 778774937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose y = 3*l + 1 + 2, 4*y + l - 51 = 0. Let g be y\/9*(-15)\/(-16). Find w such that -2*w**4 + 1\/4 - 1\/4*w**3 + 7\/4*w**2 + g*w - w**5 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(y) = -7*y**2 - 1. Let x be g(-1). Let p be (x\/14)\/((-6)\/21). Let u be p\/5*(5 - 4). What is the smallest value in u, -0.2, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 224943073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -152406, -304672, -456940, -609210, -761482, -913756?\nAnswer: -1066032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let d be ((-14)\/10 - -3)\/(4\/(-10)). What are the prime factors of 12*(-235)\/30*d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 390230?\nAnswer: 2, 5, 39023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (1089\/198)\/(((-2)\/516)\/(-1)). Round q to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 2*n*r**2 - n*r + 2584*n*z + 37047634*r**2*z + 3*r*z + 3*r + z + 2 wrt r.\nAnswer: 4*n + 74095268*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 0.358 (c) -5 (d) -0.3 (e) -46 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 3154 (base 15) in base 10?\nAnswer: 10429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 16\/(-48)*-4 + (-8)\/(-3). Solve 2*y - 14 = 5*f, f + 12 = p*y + y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -73.5 in -3, -0.061, -175\/6?\nAnswer: -175\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from nraarnjrhkrk. Give prob of sequence nh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 797 - 548. Let u = w - 162. What are the prime factors of u?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*p - p = l - 23, 5*l - p = 51. Calculate the remainder when (42\/4)\/((-2)\/(-4)) is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 59006993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) -118 (b) 2\/7 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*b + 0*b = -2*h + 74, -b = 2*h - 84. Calculate the remainder when h is divided by (3 + -4)\/(1\/(-11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-17 - -17) + 1\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -s + 3*s = 4. Which is the nearest to 1? (a) 3 (b) s (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -7.671 + 8.171. What is the third smallest value in -2\/3, -1, -2\/37, -0.06, l?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(k) = -k**3 - 26*k**2 + 32*k + 137. What is the remainder when 256 is divided by d(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -7 + 5. Let f = -6 - m. Let i = 1.4 + -1.3. Is f != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 17547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*x - 2 = -x. Suppose n = 3*p - 4 - 2, 4*n = x*p + 6. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 3.721 and 0.1?\nAnswer: 0.3721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence llul when four letters picked without replacement from {l: 3, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 39*s - 35*s - 28. Solve 4*z - s - 4 = -v, 3*z + 2*v = 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 16 a factor of 558539776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 219 + -95. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 343 + -331. Let u(g) = -g**3 + 13*g**2 - 12*g - 4. What is u(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of 132, 262, 392?\n\"Answer: 130*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve -705*o - 21036 = 773*o - 22878 + 123038 for o.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let t(q) = -284*q - 24829. Give t(-81).\nAnswer: -1825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 187 + -176. Suppose -5*t + 1 = v. Let f = -5.84 + -0.16. Put f, t, -1 in decreasing order.\nAnswer: -1, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 12071993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Add 0.0640402 and 3.8.\nAnswer: 3.8640402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in 93.84692 litres?\nAnswer: 93846.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 4 - -15. What is the third derivative of c*p - 4*p**5 - 19*p + p**2 wrt p?\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(t) = 2*t**2 + 6*t + 1. Let r be f(-4). Let g = -10 + 6. Let c(y) = -2*y - 5. Let s be c(g). What is the greatest common factor of s and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -22719, -22722, -22743, -22800, -22911, -23094, -23367?\nAnswer: -23748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 190271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let w(n) be the third derivative of -n**4\/8 - n**3\/2 + 83*n**2 + n. Let l(y) = 2*y - 1. Let z be l(-2). Determine w(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(i) = -i - 2. Let d be k(-14). Let v be (-2106)\/12*d\/(-9). Suppose -11*c = -14*c + v. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 327 minutes after 2:49 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from {q: 1, p: 2, d: 4, z: 2, u: 1, g: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Factor -16176672*h**3 - 3526525872*h**2 - 2479970*h - 436.\nAnswer: -2*(h + 218)*(2844*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is 300 (base 7) in base 10?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is -62 (base 15) in base 7?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: (9 + (-1 - -4))*(7291 - 7290)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (9 - (-1 + 1 + -1 + 5)) + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 18 at most as big as 6\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 35215290 and 891?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 1063945 divided by -5?\nAnswer: -212789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 5*(-1*1*sqrt(70)*-3)\/(-1*(sqrt(10) + 1*sqrt(360))).\nAnswer: -15*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -7\/701100 and -43\/21525.\nAnswer: 4907700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let 2*n**2 - 14*n + 24 = 0. Calculate n.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -1.3 in -1\/14571, -4, 4, -5?\nAnswer: -1\/14571","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*b - 2*u = -u - 16, -20 = 5*b + 5*u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -3 in 0.2, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((i\/(i**4\/i))\/i)**12*i\/i**32*i*i\/(i*i\/(i**38\/i)) assuming i is positive.\nAnswer: i**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2253 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let r(p) = 914*p + 6. Let a be r(2). Suppose -2*u - a = -2*b, -5*u = 3*b - 6*b + 2757. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 64251965 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 735 and 1005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 27911 is divided by 9028.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 8 - 2\/4*(1 + -5)\/1. Suppose 4*h - h = 2*x + 52, h - 5*x = 26. Solve -w = 11*r - h*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence mlll when four letters picked without replacement from lmmllmmlmmlmmmmm.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 188\/3 - (-2)\/(-3). Let v = w - 67. Do -3 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 7432886 to the power of 1\/2, to the nearest integer?\nAnswer: 2726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: 30 (base 5) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*f - 3*f = -50. Let c(a) = 4*a + 9. Is c(f) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 3\/(-6) - 46\/(-28). Let n be 1 - (-45)\/(-27) - 4\/(-6). Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -108, -213, -320, -429?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 7394895 and 22184685.\nAnswer: 22184685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let z(p) = -3*p + 5*p**2 + 100 - 95 + p - p**3. Determine z(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 797 - 772. Solve -x*v = -28*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 201676 is divided by 503.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is 14743271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let p(z) = -11*z. Let x(i) be the first derivative of 0*i + 1\/2*i**2 - 4. Calculate p(x(d)).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Is 2206 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -100 - -101110111?\nAnswer: 101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in -6\/11, 5, 4, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Put -5, 5, 429, -3 in ascending order.\nAnswer: -5, -3, 5, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Round 133901400 to the nearest 100000.\nAnswer: 133900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 7724 - 4515. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -75, -212, -351, -492?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is (28\/72)\/((7532\/252 - -12) + -42)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: -387676 times 0.3\nAnswer: -116302.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 66740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Expand ((0 + 0 + 2*y)*(-8 + 1 + 2) + y - 5*y + 2*y + 1 - 1 + 2*y + (0*y + 0*y - y)*(2 + 1 - 5))*(3*y**2 + y**2 - 5*y**2).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -290 divided by 58.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Does 27 divide 839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*k = -4*a + 1522, 10*k - 5*k = 4*a - 1506. Suppose -71 = -w - 4*b, -4*b + 55 = -4*w + a. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*p - 4*k = -31, -k - 3*k + 16 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 89934, 179871, 269808, 359745, 449682, 539619?\nAnswer: 629556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: 14026 (base 13) to base 3\nAnswer: 1220021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 1210 + -799. Let m = 455 - w. Calculate the remainder when m is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 466 minutes after 6:22 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 89*r + 1941 = -1530. Which is greater: r or -47?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1528*z + 98 = 1514*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let x(f) = -f**2 - 8*f + 108. Calculate x(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 5 + (-8 - 2 - (-22 - 5 - 11))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 7142263?\nAnswer: 7142263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*n = -2*y + 97882, -3*n - 12*y + 58782 = -2*y. List the prime factors of n.\nAnswer: 2, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 180 and 8310.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*l**3\/3 + 4*l**2 + 10*l + 16\/3.\nAnswer: -2*(l - 8)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*i - 3 - 1. Differentiate 6 - 5 - i - 4*x**2 - 2 wrt x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*f**4 - 4*f**4 + 5*f**4)*((3 - 4 + 2)*(-5*f + 4*f - f) + 22*f + 18*f - 4*f).\nAnswer: -34*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Express (w**2 - 3*w**2 - 2*w**2)*(-2 + 8 - 10) - w**2 + 3*w**2 + 3*w**2 as c*w + u*w**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 79780, 159594, 239408, 319222?\nAnswer: 399036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence ssv when three letters picked without replacement from vvsv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is 32890d - 3a2?\nAnswer: 32854b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve 402 = 150*n + 1902 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 2\/2 + (-184)\/4. Let s = -30 - w. Let z be ((-40)\/s)\/(2\/(-3)). Solve -l - z = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 36 - 23. What is the greatest common divisor of 117 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -51 by -136.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 9.6 + -7.6. Is x not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 337*a - 338*a + 13 - 13.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 3*c**2*s**3 + 228275*c**2*s**2 + 40*c**2*s + 5*c**2 + 4*s + 31 wrt s.\nAnswer: 18*c**2*s + 456550*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let l be (-102)\/(-5) - (-2)\/(-5). Suppose 4*d - l = -8. Let x(a) = d*a**2 - 7*a + 12 - 3*a - 2*a**2. What is x(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is 10001 - 1010001100100010?\nAnswer: -1010001100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -6*x + 11*x - 211 = -3*r, -2*r = -3*x + 119. Suppose -3*k + x = -h, k + 4*h = 6*k - 66. Let a(y) = -y + 9. What is a(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -64 + 0*i**2 + 36*i**2 - 199 - 20*i**2 - 18*i**2.\nAnswer: -2*i**2 - 263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 3 + 0 + (-123)\/6 and 10\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 4 a factor of 2954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 11986 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = o - 44 + 14. Does 3 divide ((-12)\/5)\/((-9)\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 0*q**4 - 3*q**4 + 0*q - q - 1 - 1 - 2*q**3 to k + o*q**2 + h*q + b*q**4 + d*q**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of -420, -408, -388, -360, -324, -280?\n\"Answer: 4*h**2 - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 9311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 11000.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Is 3 a factor of 371385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Convert 10002212 (base 3) to base 11.\nAnswer: 1779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: 37ca7a (base 13) to base 3\nAnswer: 2112011211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*o - 154531 + 154515 = -3*i, -8 = -6*i - 3*o + 13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 2\/12 + (-52028)\/(-24). Let i be g\/28 + (1 - -3). Let p = i - 3847\/42. Find the common denominator of p and -61\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 270 and 12?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 141 - 141 - 134*q.\nAnswer: -134*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve -6*x + 4*x - 4*g + 6 = 0, 0 = 3*x - 2*g - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -5.32 - -1.32. Let o = -0.1 - -2.1. Which is the smallest value? (a) o (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (2 + (-2 - (-8 - -3)))\/(-3)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*d - 10 = -5*u, -4*d - 2 = -u + 23. Let h(s) = u - s + 0*s + 1. Let j be h(6). Solve 0 = 5*y - 5 - j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 3.4271093 rounded to two dps?\nAnswer: 3.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Sort -313, -6, 2, -1 in increasing order.\nAnswer: -313, -6, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 64 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let f(g) = g**2 + 5*g + 37. Let d be f(0). Differentiate -84 + 30 - d*l - 75 + 6*l wrt l.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(w) = 27*w. Let z(c) = -4587*c - 127. Give z(j(q)).\nAnswer: -123849*q - 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 126470.93966 rounded to the nearest 1000?\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-24 + 0 - (21 - (25 - -6))) + -6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let j be ((-2)\/3)\/(2\/(-6)). Let g(z) = 0 - j + 2 - 2*z. List the prime factors of g(-7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -234*z + 468*z + 14*z**2 - 236*z.\nAnswer: 14*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (2 + (4 - 6))\/((-20)\/4). Let v(b) be the second derivative of b**3\/6 + b**2 + b. Let w be v(r). Solve 0*l + 2*l = w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {b: 5, l: 2, s: 7}. What is prob of sequence bsb?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((v**(1\/2)\/v**(-5\/4))\/(v\/v**4*v**3\/v*v))**18 assuming v is positive.\nAnswer: v**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 0.36 + 0.04. Let n = -0.02 - 3.98. Let j = -0.1 - -0.2. What is the closest to j in 2, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 2 - (1 + 2)\/(-3). Let y(q) = -q**3 + 3*q**2 + q. Let m be y(p). Solve 16 - 1 = m*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:07 PM and 12:51 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -1 in 0, 3, 60, -0.25, -13?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (420\/(-2100))\/(63\/6).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -8 + -3?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:38 PM and 3:22 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 26638310.\nAnswer: 2, 5, 2663831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 823.1 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1005*b - 977*b - 1680 = 0. Sort 4, 5, b in descending order.\nAnswer: b, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 2 - 5a1c1?\nAnswer: -5a1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 49 a factor of 88602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let x(j) = -2*j**2 + 2*j - 1. Let t be x(2). Let u be (210\/4)\/(6\/8). Let n be 66\/14 + 20\/u. What is the nearest to -1 in n, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 256366*y**3 + 7388*y**2 - 22 wrt y.\nAnswer: 1538196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Expand m**3 - 2*m**5 - m**3 + (-m**4 + 1 - 1 + (3*m - 4*m + 3*m)*(0*m**3 + 0*m**3 + m**3) + 2 - 2 - 4*m**4)*(-m + 8*m + 12*m).\nAnswer: -59*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -386 + 414. Solve -23 = o - v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = g + 4*g - 1815. Let x = -574 + g. Let a = x + 372. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -2\/147 in -2, 2\/5, -0.149?\nAnswer: -0.149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -13*u + 87 = -420. Solve u = -20*f - 101 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -13*y**3 + 85?\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-2)\/(-15))\/(992\/215760)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(t) = -3*t - 2. Let y be u(-9). Suppose 0*z - 5*z = -y. What is the third derivative of 6*a**2 - 4*a**2 - 6*a**5 + a**z wrt a?\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(i) be the second derivative of 7*i**3\/6 - 14*i**2 - 2*i + 7. Let w be b(4). Solve w = 5*s + 15, 2*h + 0*s - 4*s = 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(p) = 23*p**3 - 20*p**2 + 109*p + 117. Let b(a) = 18*a**3 - 15*a**2 + 84*a + 88. Let l(s) = -9*b(s) + 7*k(s). Determine l(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(w) = -155*w + 13. Let h be v(2). Calculate the common denominator of -73\/33 and (4 - h\/(-180))\/((-12)\/(-5)).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(r) be the second derivative of -r**5\/20 + 5*r**4\/6 - 10*r**3\/3 + 21*r**2 - 409*r. What is u(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -47*m**3 + 4*m - 369?\nAnswer: -141*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 7 - 12. Let r = 2 - i. Let t = 11 - r. Put t, -0.6, -4 in decreasing order.\nAnswer: t, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2 + 0 + 0)*(1 - 2 - 3)*(-6*b**4 + 13*b**4 + b**4).\nAnswer: 64*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 58908041 + -58908036.0000143. Let q = z + -5. What is q rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 290 = 2*p - 7*p. Let q = -39 - p. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: ((-16)\/(-2))\/(-1*2\/1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -73 - -76. Let k be (x + 7)\/(-3 + 4). Let h be 0*(25\/k - 3). Solve -3*y - 5*u - 4 = h, -5*y - 6*u + 5*u = 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 851 divide 190668573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -j - 10*r + 5*r + 29, j + 4*r = 32. Let z = -31 + j. Differentiate -18 - 7*a**2 + 35 - z*a**2 - 3*a**2 wrt a.\nAnswer: -46*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence my when two letters picked without replacement from {m: 2, l: 10, y: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -1 in -3, -0.4, 2\/11, -13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in -4\/53, -32, 4, 3, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -0.07 + 21.57. Let b = 0.64 - 21.64. Let u = q + b. What is u rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(2057) + 1 + 3)**2 - (3 + 1 + sqrt(2057) + sqrt(2057))) + -2 + 3 + (-1*sqrt(102) + sqrt(102))\/sqrt(6).\nAnswer: 66*sqrt(17) + 2070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*h - 5 + 4 + 3)*(-24 - 40 + 9).\nAnswer: 110*h - 110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Expand (i + 2*i - 11*i)*(0 - 1 - 3*i + 2*i).\nAnswer: 8*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Do -13\/3 and -0.05 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -37\/38536 and -27\/40.\nAnswer: 192680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 0.01 - -1.49. Let l = 0.5 + j. Which is the closest to 2? (a) l (b) -0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 730 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3 = 5*i - 2*i, -4*i = 4*f - 16. Solve -l = -f*a - 5, 2*l - a = l - 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-1 - 0) + -1 + 4. Suppose 0 = -2*b + 6 - o. Determine l so that 2\/3*l - 1\/3 - 1\/3*l**b = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: 105\/147*(-27)\/45\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -2.72*10\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:11 PM and 3:23 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 12136 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (r**(9\/2)*r**(-5))\/(r\/(r\/(r\/(r\/(r\/(r*r**(1\/11))))))*r**20) assuming r is positive.\nAnswer: r**(-449\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 5, 0.2, 19, -2\/47?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let k(h) = -24*h - 15*h - 17*h - h + 21 + 10*h**2. Is k(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -154 = 10*w - 694. Suppose 2*f = 3*c + 2*c + 129, -4*c = -3*f + 183. Let y = f - w. Solve 3*d = 6 - y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -4.9 - -12.8. Let x = l + -8.3. What is the second smallest value in -4, 4, x, 1\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 521.35 + -518. Let z = -0.65 - g. Let w = 4.08 - 4. Which is the smallest value? (a) 2 (b) z (c) w (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 638.000984 - 638. What is z rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(v) = -v + 5. Suppose 0 = -t - 4*d + 22, 0 = -t + 4*t + 5*d - 31. Let z = t - -2. Let k(a) = -a - 2 + 11 + 10*a - 11*a. Calculate z*k(w) - 7*l(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -s = -3*k + 3, 0*k - 5*k - 3 = s. Let l(h) = -h**3 + 14. List the prime factors of l(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (3*p**2 - 5*p**2 + p**2 - 2*p**2 - 4*p**2 + 2*p**2 + (2 + 1 - 1)*(-3*p - 2*p**2 + 3*p))*(p + 0*p + 2*p).\nAnswer: -27*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 1053 and 1833.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: 0.47806878 - 5\nAnswer: -4.52193122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let i(q) = -q**3 + 3*q + 1. Let k be i(-2). Suppose -5 = -5*o + k*u, 4*o + 5*u = o - 31. Does 11 divide 1*((-30)\/o + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (16\/75)\/(-18 + 264*1\/15).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of -1140, -1137, -1134, -1131, -1128?\n\"Answer: 3*i - 1143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*v - 11 - 41. Let x = -11 + v. What is the smallest common multiple of x and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 19944102 < 19944102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let l(t) = 100*t - 15. Let g(q) be the second derivative of -25*q**3\/6 + 2*q**2 - q - 16. Calculate 15*g(s) + 4*l(s).\nAnswer: 25*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose z + 6 = 9. Let v be z\/(-18)*4\/79. Are v and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {s: 1, q: 1, b: 1}. What is prob of sequence bs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Convert -2 (base 12) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*c - 223 = 18*g + 2*g - 43, 120 = -5*c - 10*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 5\/151? (a) -1\/2 (b) -3\/5 (c) 7 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -16.14 and -126?\nAnswer: 2033.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Factor -15*y**2 - 146498320*y + 341829495.\nAnswer: -5*(y + 9766557)*(3*y - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Is 12 a factor of 80868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-4*b**2 + 2*b**2 + 3*b**2)*(-4 + 0 + 8) + (-b + 4*b - 5*b)*(-4*b + 3*b + 0*b) - 3*b**2 + 3*b**2 + 2*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 4587344*c - 11*c**2 - 4587344*c.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 73085963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Round -277.710498 to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the sth term of 53, 224, 509, 908?\n\"Answer: 57*s**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 166 - 165.7. What is the closest to t in 8, -2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Do 46 and 56 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(187) - -5*3*sqrt(187))*1)\/(sqrt(176)*-3*5) + 5.\nAnswer: -4*sqrt(17)\/15 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Solve 7 = -d + 16 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 781847?\nAnswer: 11, 17, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let v(z) = -31513 + 31513 - 113*z. Let l(i) be the first derivative of 1\/3*i**3 + 0*i**2 + 0*i + 18. Determine l(v(r)).\nAnswer: 12769*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -42*a*c*r**3*x + 3*a*c - 2*a*r**3*x + 2*a*r**3 + 10438*a*r - 8*c*x wrt c?\nAnswer: -42*a*r**3*x + 3*a - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((((t**1)**(8\/7))**0)**(-2\/103))**(-43) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -2.519 + -0.131. Round y to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -6073 (base 12) in base 2?\nAnswer: -10100011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let w(u) = 298*u**2 + 57*u - 911. Is w(28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-68)\/(-10))\/((-34)\/(-170)) - 0\/(-37)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 42*d + 6 + 3*d**2 - 8*d - 35*d + (-2 + 1 + 0)*(-d**2 - 3*d**2 + 5*d**2) + 2*d**2 - 3 + 3.\nAnswer: 4*d**2 - d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let t(j) be the first derivative of -21\/4*j**2 + 19 + 3\/8*j**4 - 6*j - j**3. Suppose t(k) = 0. Calculate k.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -4*k**2 - 2*k**2 + 4*k**2 - 3*k**2 + 0*k**2 + k**2 + 0 + k**2 + 0 + (k + 3*k - 2*k)*(k + 3*k - 2*k) + 2*k**2 - k + k as c*k**2 + f*k + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Expand n + n - 6*n + (-n + 54 - 54)*(23 + 15 - 11).\nAnswer: -31*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -u + 0 - 2 = 0. Let p be u\/(0 + 2)*-2. Suppose -4*f - 2 = -22. Solve p*d - 9 = f*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 14993878 to the nearest integer?\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -62*l - 93*l + 224*l - 69*l - 3*l**2 + 2*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: 4113 divided by 9\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of (6\/(-48)*-4)\/(2\/676)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 2, -36, -66, -3, -12 in ascending order.\nAnswer: -66, -36, -12, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Express 6*r**4 + 2*r**2 + 2*r - 2*r**4 - 7*r**4 - 3*r + 1 in the form c*r**4 + n*r + q*r**2 + x + u*r**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 61 plus -10749535346?\nAnswer: -10749535285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let k(l) = -45357*l - 2812148. What is k(-62)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 51 a factor of 1887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 989.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Does 5 divide 156741655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (-5 - -9)\/4 - (0 + -1). What is the units digit of g\/((-6)\/(-9))*(-2 + 47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {y: 3, e: 17}. What is prob of sequence yy?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*v + 2*k - 6 = 0, -k + 1 = v + 7. Let d = -0.02 + 0.32. Let t = -1 - -5. Which is the second biggest value? (a) t (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 749 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 415 - -128. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:35 AM and 1:57 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 305 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) 53 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {h: 4, k: 10, r: 5}. Give prob of sequence rhr.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: -2819 - -0.2\nAnswer: -2818.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 1658181 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between 412.6 and -0.0173?\nAnswer: 412.6173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Is 11189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 4524 and 22738404?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: How many meters are there in twenty-seven fifths of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -216 = 2*s + 32. Let j = s + 203. What is j rounded to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (-2)\/(-5) - (-48)\/(-120). Solve -5 = 5*p - g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -0.1 + -0.4. Let z be (2\/4*-4)\/2. What is the nearest to z in -2\/9, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 111 + -109. Let b = 0.5 - 0.6. What is the closest to b in 3, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2450*j + 2453*j = 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Convert 10775.25 decades to millennia.\nAnswer: 107.7525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*y = -5*r - 4*y - 16, 0 = -r + 5*y + 20. Let a(f) be the second derivative of -1\/190*f**5 + 2\/57*f**4 + 4*f - 4\/57*f**3 + r*f**2 + 0. Factor a(k).\nAnswer: -2*k*(k - 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 69 a factor of 2814992198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let z(c) be the third derivative of c**6\/360 - c**5\/60 + 5*c**4\/24 + 7*c**3\/2 + 13*c**2. Let w(i) be the first derivative of z(i). Is 18 a factor of w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*m - 3*j + 78 - 5 = 0, 26715*j - 305 = 17*m + 26719*j for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (19 + 2*j**2 - 19)*(-13*j**2 + 6*j**2 - 7*j**2) to h*j + k*j**4 + x*j**2 + f*j**3 + b and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Sort -2, -42576, 1, -5, 11, 5.\nAnswer: -42576, -5, -2, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between -0.003 and 475.8484?\nAnswer: 475.8514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let a(p) = 2*p**2 + 4*p + 1. Let r be a(-3). Suppose -r*y = -3*y - 100. Suppose 7*u = 2*u + y. Solve u = -6*c + c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 4740?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 7563 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -80 + 81. Is 1\/72 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 139 - 129. Calculate the greatest common factor of 190 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 20029906 and 5642.\nAnswer: 140209342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Solve -k = -2*j - 2, 0 = -4*j + 2*k - 4*k - 20 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 9052.51 millimeters in micrometers?\nAnswer: 9052510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: (4\/(-14))\/((-460)\/644)*-10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Is 7900206719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 1862 - 1850. Suppose 2*y + 6 = 4*y - 5*j, 5*j = -3*y + 9. Let t = 3 + y. What is the smallest common multiple of t and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -14\/57 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let d be (40\/(-30))\/((-4)\/114). Suppose 0 = -3*o - k + 556, -d = o + 3*k - 226. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (a**(-5\/8)\/a)**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve -315 = -46*k + 9*s - 16*s, 3*k + 2*s = -s + 18 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 870120 and 870120?\nAnswer: 870120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {c: 2, i: 1, e: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let k(a) = -4*a - 5 - a + 4*a. Suppose 3*s - z + 1 = 0, 3*z + 2*z = 3*s + 5. Give k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (74 - 87) + (-3 - 74 - -7)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let g(o) = 2*o**2 - 25212*o - 1876683. Calculate g(-74).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -439 + 9217\/21. Calculate the common denominator of -29\/192 and p.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {f: 2, w: 6, n: 2, t: 2}. What is prob of sequence nwtt?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is -4 + 143?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1? (a) 0 (b) 0.962 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let l(k) = 11*k - 92. Let p(u) = -1. Determine -l(g) + 6*p(g).\nAnswer: -11*g + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -271 + 381. Suppose a = -4*h + 5*l + 294, -5*h - l + 201 = 0. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(u) = u - 7. Let s be l(6). Let g(n) = -2*n**2 - n. Let t be g(s). Let p(j) = -j + 2. Let r(v) = -28 + 9 + 8 + 1 + 9. Determine t*p(k) - 3*r(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -f + 0*f = 0. Suppose q - 2*k + 3 = 0, 2*q + 5*k = -f*q + 39. Suppose q = 3*c - c + y, -5*c - 5*y = -10. Solve -3*u = -4*i + c, -u - 3*u = i + 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 58 + -23. Let o(p) = -16*p - 9 - 16*p + d*p. What is o(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 3816410 is divided by 477047?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Convert 124a001 (base 15) to base 9.\nAnswer: 26655361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 45\/12824 and -23\/28.\nAnswer: 12824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -373, -743, -1113, -1483?\nAnswer: -1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -102 + 97 - (-12 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let d(t) = t - 2. Let v be d(6). Let u(m) = v - 2*m**2 - 4 - m + 9*m**3. Suppose -54*o = -2*g - 50*o + 34, -o + 7 = -16*g. Give u(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((12\/13)\/((-6150)\/(-7995)))\/(80\/50).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((o*o*o\/o**(-3\/4)*o)\/(o\/o**7))**(-27\/5)\/(((o*o\/(o\/(o\/(o*o**(1\/4)))*o))\/(o**5*o))\/(o\/(o*o*o**0)*o)**(-21)) assuming o is positive.\nAnswer: o**(-259\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 134.3 + -126. Let n = -8 + u. Let d = 1 - 3. Which is the biggest value? (a) d (b) n (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -s**3 - 106765*s**2\/4 + 2110189*s\/4 + 133555 = 0 for s.\nAnswer: -26711, -1\/4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 3.5*10504.\nAnswer: 36764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:18 PM and 11:21 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let w(j) = 2*j - 44. Let l be w(21). Let n(k) be the second derivative of k**4\/3 + k**3\/2 + 3*k**2\/2 - k. Determine n(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -22960*q - 29667*q + 319 + 299 - 618.\nAnswer: -52627*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*t + 4*v = -590, 4*v + 132 = -2*t + 714. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -334*h = -171*h - 180*h + 212755. What are the prime factors of h?\nAnswer: 5, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*w = -v + 32, 9*v + 3*w = 13*v - 68. Solve -13*h - 21 = -v*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 4 - 3 - -4*(-9)\/48. Let w = -30.84 + -0.16. Let i = -30 - w. What is the nearest to i in 1\/6, l, 0.06?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -5 - -7. Suppose 0*o - o = -z*c + 31, 3*c = -4*o + 52. Suppose 2*k - 10 = -4*u + 8, -3*u - k = -c. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -17*g = 11*g. Suppose g = -b + x + 49005, -32*x + 28*x = -3*b + 147020. Round b to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.308 rounded to 2 dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*u - u. What is the first derivative of -1 + 2 + u*s - 17*s**3 + 0*s wrt s?\nAnswer: -51*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 37, -12, -37, -26, 33, 152, 343, 618?\nAnswer: 989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is 2022 - 4?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is (-4)\/10*(-40)\/(-32)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is thirteen eighths of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 17366148 and 1296.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -14693028 + 31736445. Let x = 2343417 - f. What is x rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -5 + 9. Suppose q*f - 2*d = 92 + 22, 0 = -3*f + 2*d + 87. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: (-9*980\/(-945))\/((-12)\/18)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the lth term of -10, -6, 0, 8, 18, 30?\n\"Answer: l**2 + l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 128 + -103.2. Let i = o + -45. What is i rounded to 0 dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(q) = 2*q**2 - 21*q - 3. Let w be a(9). Let c = w + 32. What is u in -42*u + 4*u**3 + 67*u + 64 + 36*u**c + u + 70*u = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(m) = -63*m**2. Let j(k) = 27651*k. What is j(p(d))?\nAnswer: -1742013*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 2\/2553973 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let a(k) = 2*k**3 - 33*k**2 + 22*k - 17. What is the remainder when a(16) is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (g + 3*g - 5*g)*(1 - 1 + 3)*(-3*g + 0*g + 13*g).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is 310.82 take away -221137?\nAnswer: 221447.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 17523538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is 707 minutes before 12:33 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 473 a factor of 137768818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve 249*a = -5111 + 1127 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let k(r) = 329*r**2 - 85*r - 535. Let j be k(-6). What is the highest common factor of 223 and j?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -4, 10, 2 in decreasing order.\nAnswer: 10, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4*k - 4*k + 5*k**3 - 2)*(3 + 1 + 3)*(6 - 4 - 4).\nAnswer: -70*k**3 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose r + 8 = 2*v - r, 2*r + 17 = 3*v. Suppose -m + 8 = j - 4*m, -4 = -j - m. Calculate the remainder when v is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence kfv when three letters picked without replacement from vizzvfufziik?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 6116 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from ybyy. Give prob of picking 2 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 304011040 (base 6) in base 14?\nAnswer: 9a0c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -5 + 6. Differentiate -r - 1 + 2*b**4 - 1 wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 2.7 + 0.3. Let y = 188\/13 - 176\/13. Which is the closest to 0.3? (a) y (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 2, -5, -1, 0.11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let t(i) = 612*i**2. Let y(n) = 169*n**2 + 1. Give y(t(f)).\nAnswer: 63297936*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} -{"text":"Question: What comes next: -24, -32, -40, -48, -56?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Does 15 divide 201970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*f - 620 = -2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(p) = -2288*p - 2417. List the prime factors of n(-4).\nAnswer: 3, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 115110733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 65 + -93. Let l = -15 - o. Suppose 5*k + 6*z - 123 = 2*z, k - l = 5*z. Calculate the remainder when 68 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(t) = -2*t**3 + t**2 - 1. Suppose 3*b = 5*m + 9 - 25, -3*m + 6 = 0. Let o be f(b). Solve 4*w - k = -3, 5*w - 4*k + o - 7 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(v) be the first derivative of v**4\/24 + v**3\/6 + 3*v**2\/2 + 3. Let j(x) be the second derivative of i(x). What is j(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*u - 25 = -8*u - 4*h, 0 = 3*h. Let z be 4\/(-8)*(u + -3). Which is the biggest value? (a) -0.2 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -16.295 - -47.324. Let x = y - 31. Round x to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*y**5\/7 + 18*y**4\/7 - 219*y**3\/7 + 642*y**2\/7 - 108*y + 312\/7 = 0 for y.\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let q(g) = -g**3 - 20*g**2 + 17*g - 31. What is q(-21)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 17*f = 20*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 1361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 44\/8 - 2\/(-4). Let j(n) = 19*n**3 - 34*n**2 + 2*n + 26. Let i(w) = -7*w**3 + 12*w**2 - w - 9. Let q(u) = 8*i(u) + 3*j(u). What is q(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 20 and 940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 123.62cm in micrometers?\nAnswer: 1236200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of 33102, 33101, 33100, 33099, 33098?\n\"Answer: -w + 33103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (14 - 183) + 187 + -51 + -1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the biggest value in -163214, 0.4, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 645638261?\nAnswer: 645638261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Solve 434*i - 8358 = 12281 - 675 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 6993?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (2 + 0 - 1)*(h + h - 5*h)*((-6*h + 2*h + 3*h)*(26319 - 2402*h - 26319) + 5*h**2 + 0*h**2 - 4*h**2) to the form k*h + u*h**2 + p + c*h**3 and give c.\nAnswer: -7209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in 504, 382\/21, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let a(b) = -b**3 + 19*b**2 + 14*b + 87. Determine a(20).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -2665 - -4121. Is u a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 75*x - 906 + 156 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let p(y) be the second derivative of 59*y**5 - 4*y**3 + 17*y**2\/2 - 2*y + 1539. Find the second derivative of p(j) wrt j.\nAnswer: 7080*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose z - 3*z = 54. Let w = -112 - z. Let b = w - -159. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(p) be the second derivative of 19*p**6\/30 + 13*p**3\/3 - 38*p. Find the second derivative of l(n) wrt n.\nAnswer: 228*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -2153037 by 5.\nAnswer: -2153037\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 113\/549168 and -65\/41736768.\nAnswer: 41736768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of -871992, -872046, -872098, -872154, -872220, -872302, -872406?\n\"Answer: -h**3 + 7*h**2 - 68*h - 871930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Sort 3, 19, -5, 1104 in increasing order.\nAnswer: -5, 3, 19, 1104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 8.774 + 0.026. Let k = f - 9. Suppose 0 = -x + 4*x. Which is the nearest to x? (a) 0 (b) -1\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(g) = 2*g**3 + g**2 + g - 1. Let z(x) = 15*x**3 + 5*x**2 + 5*x + 89. Calculate -5*a(s) + z(s).\nAnswer: 5*s**3 + 94","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} -{"text":"Question: -1.4 + 8930382361\nAnswer: 8930382359.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -4 - -10. Let u = 6 - s. Solve -g = -5 - u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 60659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Is 135826273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -40*h*y**2 - 26*h + 59*y**2 + 4*y + 46 wrt y.\nAnswer: -80*h + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-7*b - 9*b**3 + 7*b)*(20 + 4*b - 20).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Convert -39 (base 11) to base 8.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -4754\/3043 - -48\/179. Is 0 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2250 = 114*f - 998 + 1940 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (2 - -7) + 3\/3. Suppose -j + 0*j + 30 = 5*g, g - q = -j. Suppose -j*t - 4*u = -96, 19 = t + 2*u + 1. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1622*q - 1223*q - 21*q**2 - 399*q.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Are -0.7 and -38647436 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-2)\/1*3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 416 minutes before 12:30 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 589 minutes before 1:04 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Round 401.253 to the nearest integer.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let c be ((-8)\/6)\/(1\/(-3)). Suppose -2*n + c + 2 = 0. Solve 5*w = n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -21 - 155 = 88*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify r*r*r**(7\/2)*r\/(r*r**9) assuming r is positive.\nAnswer: r**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -19 + t - 16 + 55 - 20.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is -3 (base 8) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -26412024 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from {d: 1, z: 5, n: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -265*q**2 - 2 + 732*q**2 + 1670*q**2 + 1160*q**2.\nAnswer: 3297*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*p = 3*g + 6, -2*p = -p - g. Let r(v) = 0*v + 166*v**2 - v - 74*v**2. What is the units digit of r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 5*r**3 - 5*r**3 + 3*r**3 + 0*r**3 - 2 - 6*r**3 - 10*r**4 - 2*r + 2*r**2 in the form m*r**2 + c*r**3 + d*r**4 + g + x*r and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(20)\/sqrt(4))**2 + sqrt(5))*2*-5.\nAnswer: -50 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Put 9, 2\/13, -4, 3, -2 in decreasing order.\nAnswer: 9, 3, 2\/13, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 9*l + 1811 + 2545. Let q = 498 + l. Calculate the greatest common factor of 119 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -14*w - 361 = -6661. Let i = -508 + w. Is -58 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (v*v\/v**(2\/31))\/(v**(-13\/4)\/v) assuming v is positive.\nAnswer: v**(767\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let o(n) = -n - 12. Let r be o(-15). Suppose r*k - 297 = -0*k - 4*d, d + 92 = k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(304) + sqrt(304)*-6 + -5 + (sqrt(304)*2 - sqrt(304))*1)*-6)**2 + -4.\nAnswer: 5760*sqrt(19) + 176000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is -1246.63266 rounded to 1 decimal place?\nAnswer: -1246.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let k(z) = -4909*z + 9809. Give k(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 10\/(-12) - 2204629\/(-282) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.8905178 centimeters in meters?\nAnswer: 0.008905178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 2.5 + -2. Suppose 0*r - 4*r = 0. Suppose -3*c + r*c = 0. Put l, c, -0.1 in descending order.\nAnswer: l, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 535497594 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Expand -j**4 + 10*j**4 + 9*j**4 + (j**2 - 4*j**2 + 2*j**2)*(0*j**2 - j**2 + 7*j**2).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is -56.4 take away 139?\nAnswer: -195.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -23*d + 16 + 237 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: How many kilograms are there in 27\/2 of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 4*o - 20, 0*f + 7*o - 5*o + o - 57 = 4*f + 3*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let s be 12\/30 - (-7)\/(-5). Let h = -4 - -3. Let d = -1 + h. Sort s, d, -3.\nAnswer: -3, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*g + 2*b - 4*b - 58 = 0, 0 = 4*g - 2*b + 54. Let q = -7 - 5. Let z be 15\/4 - q\/g. Solve 2*t - z*j - 5 = 0, 0 = -2*t - j - 4*j - 19 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -k + 4*k + 17 = q, 2*q + 3*k + 2 = 0. What is the remainder when 13 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*g**5 + 30*g**4 - 45*g**3 + 20*g**2 = 0 for g.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 4141936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) -0.14 (b) -4\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 23423 and 1121.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (a**(-3)*a*a**(-2\/3))**(-2\/13)\/((a**(-7)\/(a*a\/(a\/a**(-2\/3)*a)))\/(a**(2\/5))**(-16\/3)) assuming a is positive.\nAnswer: a**(899\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the sth term of 503, 1002, 1501, 2000?\n\"Answer: 499*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -5 + 0. Let c(y) = 7*y - 1. Let v(a) = a - 1. Let q(k) = c(k) - 6*v(k). What is q(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-2)\/7 + 4\/14. Let i = -163\/1014 + -1\/169. Which is smaller: j or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is -101342300503 + -2?\nAnswer: -101342300505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 4 - 1. Put -2, 2, j in decreasing order.\nAnswer: j, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-24)\/8 - ((-522)\/180 + (-4)\/10)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 317 - 290. Suppose 4*i - 293648 = -5*z, m*z - 26*z = -5*i + 367081. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -45302000 rounded to the nearest one hundred thousand?\nAnswer: -45300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1087 is divided by 137.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -82 + 84. Let c be 4\/18*1 - 0. Sort o, c, -2.\nAnswer: -2, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 2641\/9 - 880\/3. Let u(k) = k + 2. Let b be u(-3). Let s = 0 - b. Is y greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -13659, -13649, -13639?\nAnswer: -13629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: How many months are there in 0.575951 decades?\nAnswer: 69.11412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is g in 2*g**3\/13 - 555430*g**2\/13 - 2*g\/13 + 555430\/13 = 0?\nAnswer: -1, 1, 277715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Factor 3*h**4 - 6757506*h**3 + 3805337459991*h**2 - 15221268749988*h + 15221241720012.\nAnswer: 3*(h - 1126249)**2*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -254.73 + 254.73. What is the closest to k in 370, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 157118509 to the power of 1\/3, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in -13\/5, 0.227, -3\/4, 2\/21, -16?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.2468241 hours in nanoseconds?\nAnswer: 888566760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let r(n) = 18*n + 880. Determine r(-49).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 2, -2\/3, 6, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -242, -979, -2210, -3935, -6154?\nAnswer: -8867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 647 + -644. Suppose -5*p = -c - 289, -q*p + 11*c + 167 = 12*c. What is the highest common divisor of 57 and p?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(n) = -303*n**2 - 94*n. Let q(h) = 2*h**2. What is z(q(o))?\nAnswer: -1212*o**4 - 188*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 55 + -75. Let o = 20 - c. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.00292024546 rounded to seven dps?\nAnswer: -0.0029202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (-935182)\/(-3780) - 6\/15. Let a = m + -247. Let x = a + 349\/756. What is the common denominator of 49\/6 and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w be ((-1)\/2)\/((-1)\/(-14)). Let i = -5 - w. Suppose 2 - 4 = -i*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand -p + p + 2*p**2 + (-2*p + 0 + 0)*(-2*p + 3*p - 10*p) + (-p - 4*p + 4*p)*(6*p + 8*p - 5*p) + p**2 - 3*p + 3*p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -2*z**2 + 37*z**2 + 47 - 47.\nAnswer: 35*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from kaappuaaupua. What is prob of sequence uppp?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Work out 49.1 + -431.8330346.\nAnswer: -382.7330346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 0.1 in -3\/4, -2\/15, 124?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*q + 8 = -b, 4*b + 6 = 2*b. Put 7, q, 9 in increasing order.\nAnswer: q, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*z + 32 = -8. Suppose 4*q = -z*y + 77, -2*q - 8 = 2*q. Calculate the remainder when 24 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine h so that -h**3 + 1136*h**2 - 74573*h + 1013650 = 0.\nAnswer: 19, 50, 1067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((v**(7\/2)\/v)\/v*v)**(-21)*((v\/v**(3\/2))\/v)\/v**14 assuming v is positive.\nAnswer: v**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Expand 69745*r**2 - 16 + 0*r**3 - 69754*r**2 - r**3 + (-3 + 4 - 2 + 4 + 2 - 1 + (-4 + 4 + 2)*(2 + 0 - 4) + 2 - 3 + 3)*(-3*r**3 + 2*r**3 - r**3).\nAnswer: -5*r**3 - 9*r**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {i: 2, m: 1, h: 1, j: 5, z: 8, l: 3}. Give prob of picking 1 i and 2 j.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -209*y**3 + 69*y**3 - 177 + 65*y**3 + 75*y**3 - 52*y**4 wrt y?\nAnswer: -208*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} -{"text":"Question: Let i be ((-3)\/12)\/((1 + 0)\/(-8)). Let b be (i*1\/(-5))\/((-2)\/40). Let h be (2*(0 + 2))\/(-1). Sort b, h, -1 in decreasing order.\nAnswer: b, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-28)\/112)\/(21\/6)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Does 17 divide 1139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let j(y) be the first derivative of -2233*y**4\/24 - y**3\/3 - y**2 + 25. Let s(w) be the second derivative of j(w). Is s(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find n, given that 2*n**2 + 33574*n + 33572 = 0.\nAnswer: -16786, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -9*r + 0*r + 8*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let w(o) be the first derivative of 0*o**4 - 3\/2*o**2 + 1\/5*o**5 + 0*o + 6 + 0*o**3. Find the second derivative of w(f) wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the tth term of 263081, 263051, 263009, 262949, 262865, 262751, 262601?\n\"Answer: -t**3 - 23*t + 263105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 4131395 is divided by 511?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose x + 7 = -3*x + 3*m, -x - m = 0. Let l be (1 + -3)\/(1 - x). What is the nearest to l in -3, 1\/4, 2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {i: 3, u: 1, a: 6, f: 7}. Give prob of picking 3 f.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -405699*q**3 + 811317*q**3 - 405616*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let m(s) = 34*s**2 + 5*s - 22. Let h be (25 - 21) + 1\/(2 - 3). What is the hundreds digit of m(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*o - o - 3*o)*(0*o**4 + 10*o**4 - 2*o**4) + 10*o + 5*o**5 + 6*o**5 + 75*o**4 - 71*o**4.\nAnswer: -5*o**5 + 4*o**4 + 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence in when two letters picked without replacement from ssnilvsvsn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 138*r + 9096 = 144*r. Calculate the remainder when r is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -141*j + 638 = 356 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -0.7 - 0.2. Let p = 1.2 + j. What is the third biggest value in -2, p, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(44)\/(sqrt(11)*-3))\/(sqrt(20)\/(sqrt(10)*-1) - sqrt(2)) + -4)**2.\nAnswer: -4*sqrt(2)\/3 + 289\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 34 - 76. Let q = 67 + b. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(g) = -g**3 - 6*g**2 - 6*g - 7. Let z be v(-5). Let d be (27\/(-12) - z)*0. Suppose d = -3*i + 7*i - 8. What is the lowest common multiple of i and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 15 a factor of 22725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let u(r) = r**2 - 7*r + 4. Let o be u(5). Let d be (-26)\/44 - (-3)\/o. Let y = 260 + -260. Is y smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 782323207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Solve -238*d + 85*d + 1260 = -118*d for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4*h - 6*h + 0*h)*(-2*h**3 + 4*h**2 - 4*h**2) + h**4 - 2*h**4 + 3*h**4 + (h**3 + h**3 - h**3)*(2*h - 3 + 3).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 17205527 is divided by 13666?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Express -5*v + 3*v + 3*v + (0 - 2 + 0)*(3 + v - 3) + (-5*v - 11 + 11)*(22 - 8 + 4) as n*v + g and give n.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} -{"text":"Question: Solve 4*w - 4*c - 44 = 0, -w + 4*w = -2*c + 33 + 37 - 62 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Expand i**3 + 2*i**3 + i**3 + (-23*i**2 + 51*i**2 + 6*i**2)*(0*i + 4*i + 5*i).\nAnswer: 310*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 3 + (4 + (-5 + sqrt(1100) + -2)*4)**2.\nAnswer: -1920*sqrt(11) + 18179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -c + 95 = 3*w, 37 = w - c - 0*c. Calculate the remainder when 229 is divided by w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -3, 0, -0.14887 in increasing order.\nAnswer: -3, -0.14887, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let g(c) be the first derivative of -16*c**5\/5 - 15*c + 2. What is the first derivative of g(h) wrt h?\nAnswer: -64*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(j) be the third derivative of j**7\/840 + j**6\/180 - j**4\/24 - j**3\/6 - 3*j**2. Let a(x) be the first derivative of r(x). What is the tens digit of a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 15391, -0.5, 3 in decreasing order.\nAnswer: 15391, 3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 1691 and 159577?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Is 385710 less than 2314259\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:36 AM and 11:16 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 250673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 1.33965 > 672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {z: 3, y: 1, h: 2, q: 3, s: 1}. What is prob of picking 1 s and 1 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 5281810.26 rounded to the nearest one thousand?\nAnswer: 5282000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -770, -771, -772, -773, -774?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -38 = 3*h - 2. Let v be 2\/3*h\/10. Let p = -0.04 + -0.36. Which is the smallest value? (a) p (b) v (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -3.5 - -3.2. Let t = 70.8 + -89. Let o = t - -18. Which is the nearest to o? (a) -2 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.703 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {s: 1, g: 1, j: 2}. What is prob of sequence jg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let h(v) = 1554*v - 2 - 14*v**3 + 15*v**3 - 4*v**2 - 1558*v. Let o(z) = -2*z**3 + 7*z**2 + 9*z + 5. Calculate 5*h(r) + 2*o(r).\nAnswer: r**3 - 6*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1104914 is divided by 1145?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 10\/(-45) - (-23832)\/81?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 27326 and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let t(s) = 3*s + 3. Let x(u) be the first derivative of u**2\/2 - 8*u + 2. Let l(y) be the first derivative of x(y). Determine -3*l(d) + t(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Solve 7523*p - 2499*p - 6370 = 2491*p + 2468*p for p.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let w(r) = 2*r**2. Let x(d) = 2864*d. What is x(w(b))?\nAnswer: 5728*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 87 (b) 1 (c) -1\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 1 + -4 + -1*((sqrt(931) + 1)*-5*3 + -3)**2.\nAnswer: -209802 - 3780*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 20.2598 + -0.0998. Let k = 20 - t. What is k rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(a) = a**3 + 2*a + 2. Suppose 0 = 8*y - 11*y - 5*k + 43, 0 = -y + k + 1. Let x = -12 - -8. Let j(w) = 2*w**3 + 3*w + 3. What is x*j(i) + y*b(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2213*o + 6461 = 2304*o for o.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Convert -5253156 (base 8) to base 9.\nAnswer: -2561187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let t(d) be the second derivative of d**6\/75 + 3*d**5\/10 + 34*d**4\/15 + 4*d**3 - 144*d**2\/5 - 103*d + 1. Suppose t(b) = 0. What is b?\nAnswer: -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -9\/5? (a) -5 (b) -38\/1353 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is 151 - 287b1?\nAnswer: -28660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 y and 2 o when three letters picked without replacement from lloyyllooooo?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 3904304 is divided by 1264.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*a = -254 - 706. Suppose 0 = 3*p + 12 - 6. Let y be 152\/5 - p\/(-5). What is the greatest common divisor of y and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 m, 2 a, and 1 t when four letters picked without replacement from ajtmteajaeaemmjatj.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(14) - (sqrt(2016)*-2 + sqrt(2016)) - sqrt(56)\/sqrt(4)*-2)\/(sqrt(98)*2 + sqrt(50)*1).\nAnswer: 15*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2 + 1 + ((-728)\/(-2) - (-1 + 2)) is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*b - 11 - 1. Suppose -b = v - 6. Let c be (-4 + 5)*(v + 0). Solve 0 = -3*h + 4*z + 6 + 4, c*z + 12 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:01 PM and 2:11 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Factor 3*f**3 + 21*f**2 - 3*f - 21.\nAnswer: 3*(f - 1)*(f + 1)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence qqz when three letters picked without replacement from qqqqzqqq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 0 or -2\/160213137?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -270\/19 - -4034\/209. Let j = 201\/5 + -1282\/35. What is the common denominator of j and w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 101 is divided by 71?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: ((-4004)\/98)\/(130\/140)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -23*g**5 + 2*g**4 - 4*g**3 - g**2 + 9*g - 6 wrt g?\nAnswer: -1380*g**2 + 48*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {z: 1, o: 1, u: 1, t: 1, c: 5}. Give prob of sequence ztc.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: 107.2 * -20\nAnswer: -2144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*k + 1125*k**2 - 2*k - 797*k**2)*(3*k + 2*k - 2*k).\nAnswer: 984*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let v(y) be the second derivative of y**4\/3 + 2828*y**3 + 8997282*y**2 + 8790*y. Find p, given that v(p) = 0.\nAnswer: -2121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 8*z = 27*z - 15*z + 32 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of -71, -137, -205, -275, -347, -421, -497?\n\"Answer: -f**2 - 63*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -16976 + 16974. Let x be (-6 + -4)*(-6)\/(-16). What is the third biggest value in p, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is -19 + -73960?\nAnswer: -73979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred millions digit of 120078768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -23.6 - -26. Let h = u - 1.4. Which is smaller: h or 42?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -19*w - 344 - 359. Are -31 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -0.01 - -0.41. Let f(v) = -9 + v - 11 + v**2 + 21. Let q be f(-2). Which is the second smallest value? (a) q (b) -1\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*o + 32 = -256*y + 259*y, y - 4 = -4*o + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Divide 45814830 by 9162966.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (n*(n*n**(-2\/35))\/n)\/(n\/n**4)*(n**(-2\/7)*n)**(-37) assuming n is positive.\nAnswer: n**(-787\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Express 207*v**2 - 409*v**2 - 286*v**2 in the form y*v + o + i*v**2 and give i.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is -9119.894 rounded to zero decimal places?\nAnswer: -9120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-3 - (-45)\/21)*(-4)\/8.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*k = 3*v + 65, -4*v + 50 = -7*v - 5*k. Which is the closest to 0.1? (a) 5\/2 (b) 0.3 (c) -0.4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is 10122 + 21?\nAnswer: 10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -499*q - 17*q**3 - 491*q + 1485*q - 495*q.\nAnswer: -17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.00067668 to 6 dps.\nAnswer: 0.000677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 10400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -4 + -67?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*c = -2*c - 5. Let h(q) = -q**2 + 389*q - 3044. Let t be h(8). Sort t, c, -6 in ascending order.\nAnswer: -6, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*a + 417 = 4*a - 3*r, -a - 2*r + 96 = 0. List the prime factors of a.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -3930, -3924, -3914, -3900, -3882, -3860?\nAnswer: -3834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 87\/2 of a day in hours?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -2*d**2*x**2 + 55459481*d**2*x - 134*d*x**3 - d*x - 27386*x**3 wrt x?\nAnswer: -4*d**2 - 804*d*x - 164316*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let y(w) = 3*w**3 - 18*w**2. Let a be y(6). Suppose -4*g + 4*n + 613 - 221 = 0, a = 2*n + 8. Let x = 113 - g. Solve -4 = 5*f - x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -1640\/21 + 78. Which is the third smallest value? (a) s (b) 4 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: 8 - 3\/(-5)*60\/(-18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 104 - 50 = 2*u. Calculate the greatest common divisor of 18 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -0.03 + -3.97. Let y = -47 + 47. Which is the biggest value? (a) -1 (b) w (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between -2.45 and 513?\nAnswer: 515.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let w(y) = y**3 - 4*y**2 - 2*y + 4. What is w(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Divide 2500 by -125.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*y + 6*y = -8*y. Suppose 3*z - 15 = -0*z + 5*w, 3*z - 4*w = 15. Suppose -2*o = -4*b + 502, y = z*b - 7*o + 3*o - 623. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 102*n - 210*n + 110*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -101001011 + -110100000?\nAnswer: -1011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve -36*k = -8*k - 56 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Factor 3*i**2\/7 - 78*i\/7 - 465\/7.\nAnswer: 3*(i - 31)*(i + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 a and 2 l when three letters picked without replacement from xsbxsaalasasbaalbs.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is (21\/(-14)*(-2)\/(-3))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 10795516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 321 + 2*i - 321 - 9*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 14003 - 14001. Solve 1\/4*g**3 + 1\/4*g**o + 0*g + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (4 - 3) + (2 - 3 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Total of -1624836 and 0.04.\nAnswer: -1624835.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 32048 is divided by 2135?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let l(v) be the first derivative of v**4\/34 - 50*v**3\/51 + 24*v**2\/17 + 504. Find r, given that l(r) = 0.\nAnswer: 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 4*5202\/153*(-1)\/4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in 87491.2 litres?\nAnswer: 87491200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Put -860, 2, -13209 in increasing order.\nAnswer: -13209, -860, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -41930.3757 and 0.3.\nAnswer: -12579.11271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1\/2 in -19244.9, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 5*h**3 + 6*h**3 + 5*h**3.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let m(u) = -u**2 + 187*u - 8502. Determine m(103).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (-165)\/90 + 1 - 1030\/(-12). Let l be (-1)\/(-1*1\/17). Calculate the highest common factor of f and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*p**5\/13 - 108*p**4\/13 - 1824*p**3\/13 - 12544*p**2\/13 - 30720*p\/13.\nAnswer: -2*p*(p + 8)**3*(p + 30)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let h(a) = 13*a**2. Let j(i) = 2*i**2 - 1. Give h(j(l)).\nAnswer: 52*l**4 - 52*l**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of -769, -767, -765, -763, -761, -759?\n\"Answer: 2*d - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose f - 4*w = -89, -7 + 4 = 3*w. Let p = f - -655. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -34 - -7. Let u be (-573)\/v - 2\/9. Is 22 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 0.09005 - 0.1541. What is i rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is 979e - -4?\nAnswer: 97a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let o be 10\/30 - 226\/(-6). Suppose -4*v + 2*v = -o. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(j) = 3*j + 5. Let i(b) = b - 1. Let p(o) = -6*i(o) + y(o). Let n be p(2). Let z = n - 5. Solve 5*t - 5*l + 25 = z, -3*l = t + l - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 0*v - 78*v**3 + 77*v**3 - v + 2 + (-2*v**2 - 2 + 2)*(1 - 1 - v) to the form c*v**3 + f*v**2 + g + t*v and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is 666811531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 1857478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let s(y) = -58*y**2 - 38*y - 37. What is s(-3)?\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Convert 2316 (base 10) to base 2.\nAnswer: 100100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -385*d + 40794 = 1184*d for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*f + 388 = -0*f - 2*r, -4*f - 5*r = 376. Let m = -59 - f. Suppose g + 2*a + 3*a - m = 0, 5*g - 2*a = 92. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be ((-2)\/(-4)*22)\/(3\/(-30)). Let f = v + 156. What is the lowest common multiple of 5\/1 + 1*-1 and f?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 3656 or -26?\nAnswer: 3656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Solve 25*s - 29*s + 12*s = -72 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 6.1315 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: 1*-379923\nAnswer: -379923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let c(i) = 978*i + 26. Let y be c(0). Solve 19*g - 64 = -y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(s) = 15*s + 3133. Let a(i) = -i. What is c(a(l))?\nAnswer: -15*l + 3133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 2818 is divided by 573?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.1 times -1817?\nAnswer: -181.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*f = -2*w - 57, 3*w + 94 - 71 = -5*f for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (c**6\/(c**(-3\/10)*c))\/(c**(-10)\/c)**(-8) assuming c is positive.\nAnswer: c**(-827\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 32 + -32.5. What is the second biggest value in 2, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(c) = -1023*c**3 - 2*c**2 - 80*c - 444. Is b(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 377*k**2*r**3 - 6*k**2*r**2 - 244262*k**2*r + k*r - 984*r**3 wrt r?\nAnswer: 2262*k**2 - 5904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 8 - 27*y**2 + 27*y**3 + 39*y**2 + 7 - 12*y**2.\nAnswer: 27*y**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 3190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-4)\/30*(-6 - (-8 + -3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 46 and 288213?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 6067719?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is -38e71 - -45e?\nAnswer: -38a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (140\/(-5))\/(4*18\/72).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 60 - 57. Let t(y) be the second derivative of -1\/2*y**2 + 0 - 2*y - 1\/2*y**u. Find the first derivative of t(l) wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: (-17)\/((-13260)\/(-52))*1\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 90141 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -2*f + 13*f - 6*f - 9*f - 10*f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - 1*(sqrt(68)*-2 + sqrt(68))) + sqrt(68) + -3*-1*sqrt(68))\/((2*sqrt(144) - sqrt(144)) + (sqrt(16)\/sqrt(4) - sqrt(4))*-2)*-2.\nAnswer: -7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (14996\/(-489))\/((-12)\/9).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-249888)\/11508 + -1 + 57\/21.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence aat when three letters picked without replacement from {t: 1, n: 4, i: 2, a: 8, s: 4}?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let b be 26\/5 - (-4 - (-147)\/35). Sort b, 8, 3 in increasing order.\nAnswer: 3, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n be (-8)\/(-28) - (-24)\/14. Suppose n*i - 4 = -s, s - i + 2 = 3*i. What are the prime factors of (s + 7 + 3)\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h be 1*76\/(-28) + (-4)\/14. Sort 14, h, 4.\nAnswer: h, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose t = 3*t - 150. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-1 - (4 - -1)) + 22 + -27 + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -123726 + 123852. Let 240*g + 3\/4*g**4 + 69\/4*g**3 + m*g**2 - 384 = 0. Calculate g.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is 43037 - 1a38?\nAnswer: 411bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 594? (a) -3 (b) 6 (c) -14 (d) -17 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let y(d) = 35*d**3 - 7*d**2 - 8. Let o(j) = 18 - 17 - 17*j**3 + 4*j**2 + 4. Let f(a) = 5*o(a) + 3*y(a). What is the third derivative of f(w) wrt w?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*y - y = 0. Suppose y = f - 19 - 8. Suppose 5 = 3*n + c, -5*n + 0*n = -3*c - f. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (7\/(-4))\/(420\/560).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 256166.\nAnswer: 2, 349, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let y(p) = 16*p**5 - 9*p**4 + 4*p**2 + 9*p. Let a(l) = 4*l**5 - 2*l**4 + l**2 + 2*l. Let m(q) = 9*a(q) - 2*y(q). Find the third derivative of m(i) wrt i.\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 416398 and 398157.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4*y**2 + y**2 - 2*y**2)*(3 - 3 + 3*y) + 4*y**3 + 5*y**3 - 6*y**3 + (3*y**2 - 4*y**2 + 3*y**2)*(-2*y + 4 - 4).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.001810979175 to 5 decimal places.\nAnswer: 0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 7 + -5. Suppose 5*z - 4*z = -d, -y*z = 3*d. Suppose z = 4*q - 5*t - 5, q - 2*t - t = 3. Is 3\/4 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many litres are there in 91.4673ml?\nAnswer: 0.0914673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.05 times -106263?\nAnswer: 5313.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in 1\/6, -12, 5.9, 5, -3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -7.6 - 2.4. Let m = u - -7.5. Let g = m + 2. Sort 2\/7, 0, g in descending order.\nAnswer: 2\/7, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 107 is divided by 96.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-10)\/(-5) + (5\/(-4))\/1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is 5 + 2036?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -11*k**3*v + 352149*k*v - 3*v + 4596994 wrt k?\nAnswer: -33*k**2*v + 352149*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let p(a) = 5*a**3 + 559*a**2 + 1109*a + 18. What is p(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 129714 and 19956?\nAnswer: 259428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*s - 111 = 129. Let c = 3 - -2. Suppose -c*r = -r - s. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of -69, -174, -283, -396, -513, -634, -759?\n\"Answer: -2*w**2 - 99*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let o(g) = -14*g**3 + 17*g**2 - 14*g + 8. Let t be 2\/(10 + 384\/(-40)). Let w(q) = -9*q**3 + 11*q**2 - 9*q + 5. Determine t*o(l) - 8*w(l).\nAnswer: 2*l**3 - 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Expand 8*s**3 + 3*s**3 - 12*s**3 + (3*s - 3*s + s)*(-3*s + 2*s**2 + 3*s) + 3*s**2 + 2*s**2 - 5*s**3 + 7*s**3.\nAnswer: 3*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let g(h) = 3*h**2 - 92*h + 943. What is g(13)?\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.0543282 times -6?\nAnswer: 0.3259692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 567934240 and 4109?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let i(v) = 8*v + 8. Let x(c) be the first derivative of c - 5 + 1\/2*c**2. Give -2*i(m) + 18*x(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let z(j) = -j - 5. Let r be z(-4). Let s = 4 + r. Suppose 3*u = -0*u - 3*o + 21, s*u - 29 = -o. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 261 a factor of 175524371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (1480\/37)\/(-80)*(-4)\/(-44).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {e: 9, v: 2}. Give prob of sequence ve.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -4259*v**3 + 3*v**2 + 7025*v + 2.\nAnswer: -25554*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 8\/6 - (-4)\/6. Let u be 81\/6 + x\/(-4). Let h = u - 8. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(i) = 2. Suppose -11*y + 120 = 9*y. Let w(x) = x. Give y*w(u) + q(u).\nAnswer: 6*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let j(p) = 4*p - 12. Let l be j(8). Suppose -3*s - 3*s - 18 = 0. Let v = s + l. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 44.9 in -4\/5, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 115292439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: 0.01 times -8748\nAnswer: -87.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let x(o) = -2*o + 27. What is the remainder when x(0) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*b - 13*c = 111, -281 + 236 = -2*b + 5*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3*d**4 + 18*d**3 + 36*d**2 - 168*d - 288.\nAnswer: -3*(d - 6)*(d - 4)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between 230 and -3328574?\nAnswer: 3328804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (13*g**2 + 11*g**2 - 6*g**2)*(57948*g**2 - 4*g - 57803*g**2 + 3*g) to d*g**3 + u*g**2 + y + a*g + n*g**4 and give n.\nAnswer: 2610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 972027 or 972026?\nAnswer: 972026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 490911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -2 + sqrt(320)*-2 + sqrt(320).\nAnswer: -8*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Does 262 divide 274181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: -148232030606 - -1.3\nAnswer: -148232030604.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1511 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 5 + -3. Suppose 4*s = 4*d - 8, -q*d - 4*s = 6 - 34. Let u be 3\/(-9) + 156002\/d. What is u rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 636 minutes after 6:48 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Factor 4*u**2 + 2556*u - 47304.\nAnswer: 4*(u - 18)*(u + 657)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Add -0.178041 and -0.827262949.\nAnswer: -1.005303949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 1\/2 + 1\/(-1). Let k = -115 - -329\/2. Let a = 48 - k. Sort w, a, 0.\nAnswer: a, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 70387 is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let w(h) = 2*h**3 - 6*h**2 + 4*h - 94. Give w(7).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Sort 4, 75, 6 in ascending order.\nAnswer: 4, 6, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 3290 and 70140.\nAnswer: 3296580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Work out 3 + 0.053133.\nAnswer: 3.053133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 82 = -l - l. Suppose 6*x = 27 - 255. Let s = x - l. What is the lowest common multiple of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 183\/305*2\/(-3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 381 - 380. Suppose 0 = 2*c + c - 9. Suppose -c*p + 7 = b. What is the remainder when 7 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 599 minutes before 5:04 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*c - c + c)*(1 - 2 + 0) + 4*c + c - 2*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let y(a) = -a - 4. Suppose 6*c = 16 + 2. Suppose -12*r = 4*m - 8*r + 12, -c*m - 3 = 5*r. Calculate y(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 841 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 18*n = 13 + 5. Let p(k) = 4*k**2 - 5. Let g be 3\/(-18) - (-26)\/12. Let x(z) = -z**2 + 1. Calculate g*x(r) + n*p(r).\nAnswer: 2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 173, 178, 179, 176, 169, 158?\n\"Answer: -2*v**2 + 11*v + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the eighth root of 500373778 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -c + 6 = -2*c - 2*k, 0 = 4*c - 2*k - 26. Suppose -2*o = -8 + c. Factor -6*n**5 + 16*n**o + 0*n**2 + 12*n**3 + 2*n**5 - 16*n + 0*n**5 - 8*n**4.\nAnswer: -4*n*(n - 1)**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -7*n = 7*n + 5*n + 95 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 97*f - 3*f - 4326 = -1130 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let s(h) = h**2 + 3*h + 2. Calculate s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 262726399.\nAnswer: 13, 29, 696887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*b - 8 + 2 = 0. Suppose 2*i = r - i + b, 0 = 5*r + 3*i + 15. Let s(t) = -t**3 - 4*t**2 - 5*t - 3. Give s(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 245*c**6 - 32*c**5*h**3 - 34277*c**2*h**3 wrt c?\nAnswer: 29400*c**3 - 1920*c**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of 2799, 2805, 2811?\n\"Answer: 6*b + 2793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of -312336, -312348, -312374, -312420, -312492, -312596, -312738, -312924?\n\"Answer: -u**3 - u**2 - 2*u - 312332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 780257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose i - 8 = -2*w + 2*i, 5*w = -4*i + 46. Let h = 1822 - 1820. Solve h*n - w*n - 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: -16958*1\nAnswer: -16958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: -151542 divided by -75771\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is 6438339 to the power of 1\/2, to the nearest integer?\nAnswer: 2537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (2 - 218\/4)*(4 - 1)*-4. Calculate the highest common divisor of m and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(v) = -128*v. Let f be c(-7). Suppose -6*r + f + 394 = 0. Suppose 5*k - r - 40 = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 162382.4 - 162279.85582. Let s = y - -0.45072. Let i = -103 + s. Round i to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:49 AM and 2:47 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let o(v) = -133*v - 652. Calculate o(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: -45579a (base 11) to base 7\nAnswer: -6106522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.00117269 to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Round 183670 to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 u and 3 q when four letters picked without replacement from mhhuq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Put together 103 and 36533.\nAnswer: 36636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Is 21872911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -6960.0000037192 - -6960. Round y to 7 dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(f) = -5*f**2 + 6*f + 1. Let y = -56 - -63. Let s be o(y). Let l = s - -288. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(f) be the third derivative of 0 + 5\/6*f**3 - 4*f**2 + 0*f + 0*f**4 + 1\/20*f**5. Differentiate n(m) wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 39 - 47 = -8*t. Sort 5, 0, t, 4 in descending order.\nAnswer: 5, 4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -732 (base 13) in base 5?\nAnswer: -14344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 200322959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -43 in 56.3, 0, 27\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -79*k + 73*k - 10 + 54*k**3 + 12 + 6*k.\nAnswer: 54*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence sjw when three letters picked without replacement from {e: 1, j: 2, m: 1, w: 7, s: 2, n: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 12 - 45. Let k = w - -50. Calculate the remainder when k is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(l) = l**2 + 38*l + 12. Determine u(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 65 a factor of 2477978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) -4 (b) 48\/109 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 106.3 - 4.3. Let l = 100 - b. What is the closest to 7 in l, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*k + 3*w = 0, 4*w + 2 - 3 = -3*k. Let -2*l**2 + l**2 + 3*l**4 + l**3 + l**5 + l - 2*l**2 - k*l = 0. Calculate l.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be -4*(-1 + 9\/6). Let x = o + 4. Suppose q = x*q - 18. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((2 + -3*sqrt(125)*1)*1)**2 + -5.\nAnswer: -60*sqrt(5) + 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 6 - -3 - (-2 - -515)\/(-9). Calculate the highest common divisor of u and 2156.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0 + 0 + q)*(2 - 138*q**3 + 39003*q**2 - 39003*q**2).\nAnswer: -138*q**4 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let f(k) = 4*k + 25318 + k + 6*k**2 - 25309. Let b(c) = -2*c - 3*c**2 - 4 - c + c. What is 9*b(i) + 4*f(i)?\nAnswer: -3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 40645 is divided by 2093?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: -48.3 times 0.3\nAnswer: -14.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: How many grams are there in 29\/2 of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {k: 2, t: 3, l: 4, e: 1}. Give prob of sequence ek.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let r(i) = -2*i - 16. Let c be r(-13). Suppose 33 = 2*y + y + 2*n, -2*y = -2*n - 32. Let j = 43 - y. What is the highest common factor of j and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1146 divided by 4.\nAnswer: 573\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -0.2? (a) 2 (b) 15 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is -2 + 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 12.2 in 1, 4, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 28352*u + 21450 = 28342*u. Which is greater: -2144 or u?\nAnswer: -2144","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} -{"text":"Question: Total of 0 and 143265.\nAnswer: 143265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Sort -3, -111, 5, 1, -5 in ascending order.\nAnswer: -111, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -179*0.009.\nAnswer: -1.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let h(l) = -l - 3*l**2 + l. Let q(b) be the third derivative of 0*b**3 + 0 + 1\/24*b**4 + 0*b + 3*b**2. Calculate q(h(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8*o + 339 - 3355 = 0. Let m = 549 - o. List the prime factors of m.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -5, 0, 1, -3 in decreasing order.\nAnswer: 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 2368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let j(v) be the second derivative of v**5\/20 + v**4\/6 - v**3\/3 - 2*v**2 + v. Let n be (-328 + 327)\/((-3)\/(-9)). Give j(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: (-400)\/(-57000)*(-760)\/(-160)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Work out -3 - -0.2438.\nAnswer: -2.7562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*t**2 - 8*t**2 + 8*t**2)*(0*t - 2*t + 0*t)*(6 + 0 - 5).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let q(w) = w - 12. Let c(p) = p. Let h(i) = 2*i - 7. Let g(s) = 5*c(s) - h(s). Let o be g(-3). Let u be o\/12 - (1 - 6)\/30. Calculate q(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 17\/7 of a week in minutes?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-29*g - 36*g - 84*g)*(2*g - 3*g + 2*g) + 17 - 17 - 17*g**2.\nAnswer: -166*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {u: 1, g: 3, s: 4, c: 5, x: 1}. Give prob of picking 1 s and 1 g.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((1 + sqrt(1216))*3 + sqrt(1216) + -1 + 3)**2 + -2 + -3.\nAnswer: 320*sqrt(19) + 19476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -113\/40 and (-158)\/100 + 261\/435.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(j) = j. Let p be (392\/70)\/(4\/10). Suppose p*c - 13 = 43. Let z(y) = -8*y - 2. Determine c*r(t) + z(t).\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 7 - 5 - 3 + 11*m**2 + 6.\nAnswer: 11*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 12:53 AM and 8:47 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in -3, 5\/4, 3369.6, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (7 - 4) + (3 - 2) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 604 + -9772?\nAnswer: -916b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let u(b) = b**3 - 21*b**2 + 20*b. Let c be u(20). Let w = 53 + -31. Suppose c = -x - w + 16. Let p(a) = 7*a + 4. Let r(t) = -6*t - 3. Determine x*r(j) - 5*p(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 c and 2 i when three letters picked without replacement from {c: 1, x: 1, l: 2, e: 1, f: 2, i: 7}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve 30 = -9*x + 21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1744 = -88*y - 808 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 117245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let h(y) = -13*y - 4. Let v be h(-3). Solve -2*u - 4 = -2*l, -u + v = 4*l + 4*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in 1559, 0, 4, -55.2, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let h(l) = -l**4 + l**3 - l**2 - 1. Let q(d) = 4*d**3 - 5*d**2 - 16*d - 3. Let g(b) = 3*h(b) - q(b). What is the third derivative of g(n) wrt n?\nAnswer: -72*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0000751312 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -101001110000111010 + -111001010?\nAnswer: -101001111000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -22*p + 57 + 9 = 0. Solve 0 = 6*m - p*m - 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 3 + 14 - 27 + 10 - 5*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let d(z) be the first derivative of -5*z**2\/2 + 12. Let x(g) = 3*g. Calculate d(x(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of 154, 153, 152?\n\"Answer: -r + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -262.012 + 7.604. Let w = -253 - h. Let q = 1.28 - w. What is q rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(q) = q**5 + q**4 + 2*q**3 + q**2 - q. Let t(a) = 3*a**5 + 8*a**4 + 13*a**3 + 6*a**2 - 2*a. Let z(j) = 6*c(j) - 3*t(j). Factor z(h).\nAnswer: -3*h**2*(h + 1)**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 366 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*j + 2*m = -1 - 25, -j = -4*m + 14. Let y(w) = 3*w + 23. What is the units digit of y(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 159673597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -1\/6 + -5\/42. Let d(g) = -g + 11. Suppose 5*i - 50 = -5*o, 5*o - i = i + 36. Let y be d(o). What is the smallest value in k, -0.2, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(i) = 1. Let k(w) be the second derivative of -w**3\/2 + 3*w**2\/2 + 350*w. What is -k(o) + 6*v(o)?\nAnswer: 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of (0 - (-164)\/8)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (n + 0*n + 0*n)*(n**2 + 3*n**2 - 2*n**2) - 20*n**3 - 48*n**3 + 9*n**3.\nAnswer: -57*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: 0 divided by -279\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -20*i - 375 = -15*i. Let c = i - -39. Let s = c - -39. Solve -s*y - 5*h = -21 + 3, -h + 7 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1 + 0 - 2)*(0 - 15 + 2)*(r**2 - 3 + 3).\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (x\/x**5)\/x**7*x*x*x*x*x\/x**(-1\/8)*x\/(x\/x**5*x) assuming x is positive.\nAnswer: x**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 443549*d**3*t**2 + 68832*d**3*t + 1381*d**3 - 16*d*t**2 - t**2 wrt t?\nAnswer: 887098*d**3 - 32*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let n be 118\/((-9)\/(-513)*-6). Round n to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (q\/(q*q**13))**(9\/2) assuming q is positive.\nAnswer: q**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve 577 = -29*n + 751 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let l(r) = -r**3 - 4*r**2 + 6*r + 6. Let k be l(-5). Let z = 5.4 - -0.6. Let o = 5 - z. Which is the closest to 1? (a) o (b) k (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 0 (base 16) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 54\/(-55) - 100\/(-125).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -19 - (4 + -8 + -17) - -38?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 24\/19? (a) -2\/17 (b) -27 (c) 230\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (40\/400)\/((66\/(-5))\/11)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -34887\/4 - -8746. Find the common denominator of l and -17\/2748.\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the lth term of -20733889, -41467775, -62201661?\n\"Answer: -20733886*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 2.4 (c) 3 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1687205823.\nAnswer: 3, 83, 6775927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Work out 0.04 - 9.9.\nAnswer: -9.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let i(w) = -w**2 + 1. Let g(q) = -5*q**2 - 3*q - 2. Let k(j) = -g(j) + 6*i(j). Let l be k(5). Let t be (0 - 0) + -6 + 2. Put t, l, 0 in ascending order.\nAnswer: t, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(a) = -a - 1. Let w(l) = -1. Let n = 27 - 14. Let m = n - 14. Give m*h(x) - w(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Solve -184*q - 4597 - 6011 = 146*q + 78*q for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*l - 2*t - 8, l - 3*t + 0 - 4 = 0. Let j be (2 - 3)*8\/4. Put l, j, 2 in descending order.\nAnswer: l, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(t) be the third derivative of t**5\/30 + 6*t**2. Suppose 3*f = 9 - 3. Let l(s) = 0*s**2 + s**f - 4*s**2. Give m(l(g)).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let j be -1 + (-3)\/(1\/(-1)). Suppose 0*s + j*s = 68. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -1423.8 minus 80528?\nAnswer: -81951.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -74*f**2 + 1 - f**4 - 105*f**3 + 110*f**3 + 10*f**2 + 2*f to u*f**2 + r + z*f**3 + k*f + n*f**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {l: 2, f: 2, i: 3, m: 8, r: 2}. Give prob of picking 1 m and 1 f.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from osoiotxeieeo.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is -1 greater than or equal to -29\/9268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let l(x) = -23*x + 7. Is l(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 1 (base 13) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is (-22284)\/(-10) + 2 + 114\/190 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of 491, -476, -2087, -4342, -7241, -10784, -14971?\n\"Answer: -322*i**2 - i + 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 11933614?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 39368198 and 22524?\nAnswer: 3754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 1698335679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let m(x) = -4*x**2 + 141*x - 852. What is m(24)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: (20\/((-700)\/15))\/((-8)\/(-6)*768\/(-112))\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 15, 78, 191, 354, 567?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let g(f) = -8*f**3 + 8*f**2 + 6*f - 296. Determine g(-4).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let h(v) be the second derivative of v**4\/24 - 2*v**3\/3 - v**2\/2 + 4*v. Let n(q) be the first derivative of h(q). Differentiate n(w) wrt w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 22 - 19. Solve n*b - 7*b - 2*g - 24 = 0, 4*g + 18 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 24111308231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {f: 14, h: 1}. Give prob of sequence hfff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -3749\/3029 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let d(u) be the third derivative of -u**6\/120 + u**5\/60 - 7*u**3\/6 + u**2 - 12. Suppose 0 = 2*h - 7*h - 15. What is the units digit of d(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -105 + 93 + (-7 - 0) - (-5 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (-26)\/1*(-1)\/2. Suppose m + 7 = 2*v. Suppose -r = -2 - 2. What is the remainder when v is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 2*(1 - 2\/4). Let f be (2 - z)\/(3\/(-15)). Let x(l) = 0 - 4 + 2*l - 3*l. What is x(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -545 or 379.1?\nAnswer: 379.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 38146 is divided by 18838?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -8544*s - 3877 - 2147*s + 2202*s wrt s.\nAnswer: -8489","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 10023044 (base 5) in base 12?\nAnswer: 3a1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -16 (c) 1\/5 (d) 67 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let a(p) = p**3 - 8*p**2 + 4*p - 6. Let m be a(4). Let r = m - -90. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 5403*z**3 + z**2 - z**2.\nAnswer: 5403*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 6363 and 400038982.\nAnswer: 3600350838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -13*x**4 + 9*x**2 - 4*x**2 - x**3 - 13*x**4 + 18*x**4 to m*x + j*x**4 + z + k*x**2 + l*x**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Does 13 divide 229381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let t be -13 - 1*12\/4. Let p be 61*4\/t - 2. Let s = p + 17. What is the smallest value in -2\/15, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -271790+1.2\nAnswer: -271788.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Expand 40 - 9*m - 40 + (5*m - 3*m + 0*m)*(3 - 2 - 2).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -112 + 110. Let t = 720\/7 - 103. What is the third biggest value in h, 3, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 48 is divided by 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -2*x**6 - 190*x**3 - 2*x**2 + 173 wrt x.\nAnswer: -240*x**3 - 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -1 + (5 + -3 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -26\/2961 and -31\/987.\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Convert -1312234033 (base 5) to base 15.\nAnswer: -440d63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 28*p = 238*p - 3780 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 122 - 118. Suppose v*s - 602 = -5*p + 462, 2*s - 510 = 3*p. What is the derivative of -244 - 22*o**3 + 477 - s wrt o?\nAnswer: -66*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 0 - (92\/(-496) + (-2)\/(-8)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Product of 0.3 and 19.3162.\nAnswer: 5.79486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 14850 and 5184.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 82.8795 - 83. Round d to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(w) = -5*w**3 - 20*w**2 + 23*w + 15. Let q(a) = 6*a**3 + 21*a**2 - 25*a - 15. Let z(m) = 7*p(m) + 6*q(m). What is z(13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is 3232001653 + 1?\nAnswer: 3232001654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let h(u) = -12*u**3 + 3*u**2 - 5*u + 6. Let m(z) = 2*z**2 + 3206*z**3 - 4*z - 6428*z**3 + 5 + 3211*z**3. Calculate 4*h(a) - 5*m(a).\nAnswer: 7*a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Expand -13*b**2 + 10*b**2 - 14*b**2 + (-8 + 11*b + 8)*(-b - 2*b + 5*b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 4, 35\/76, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 4938 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*l - 2 = 3*r, 5*l = 5 - 30. Solve 8*g - 10*g = -r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in -192, -4\/11, 0.26, -3\/2, 2?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is -6 - (-4 - 0) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 7 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -167.97 - 4.03. Let r = -172 - p. Which is the closest to r? (a) 5 (b) 2\/15 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be -5 - 14\/(126\/117). Let x(r) = -r**2 - 6*r + 207. Determine x(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be ((-1)\/(-1))\/(4\/40). Let s = r + 2. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(f) = -f**2 - 8*f - 4. Suppose -357 = -6*q - 1071. Let t be -2*(-94)\/(-28) + 34\/q. Give p(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(a) = -a**3 + 8*a**2 - 2*a + 20. Let w be y(8). Let n = 46 + w. What is the units digit of 630\/n - 6\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*w + 0*w + 2*w)*(-3 + 4 - 3) - 13 + 173*w - 653*w + 202*w.\nAnswer: -282*w - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -v + 2*v = 8*v - 28. Solve 0 = -5*u - v*b - 32, 0 = -2*u + 5*b + 1 + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of 234, 233, 232, 231?\n\"Answer: -u + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let z(r) = r**3 - 6*r**2 + 7*r - 3. Suppose 4*j - 14 + 2 = 0, 0 = -4*d - 5*j + 35. What is the units digit of z(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 w and 3 c when four letters picked without replacement from {q: 1, c: 2, w: 4, y: 7, f: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 1973675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is -12.05713 rounded to two dps?\nAnswer: -12.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 7475657431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 250 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of 123483, 125573, 127663, 129753?\n\"Answer: 2090*h + 121393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-74*2\/(-10))\/(4\/(-20)). Let g = j + -363. List the prime factors of (-2)\/(-20)*-5*(g - -1).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(r) be the second derivative of -r**6\/10 - 3*r**5\/5 - 5*r**4\/4 - r**3 + 5*r. Let j(c) = 0. What is c?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 97\/((-1 + 0)*-6) and ((-6)\/16)\/((-6)\/292).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (-2)\/(-6) + 5\/(-33). Suppose -8*q = -4*q - 4*v - 320, 5*v = -5*q + 420. Let y = -77 + q. Which is the second biggest value? (a) y (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -5*x**3 - 72*x**2 + 272*x wrt x.\nAnswer: -30*x - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the jth term of -36, -64, -96, -132?\n\"Answer: -2*j**2 - 22*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from iiiieiiiiiiiiiiiiei.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the biggest value in -2\/7, 2\/7, -1\/94?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let v be 1582\/(-113) - (-144)\/10. Let w be (-9)\/2 + 2\/4. Which is the third smallest value? (a) w (b) -0.2 (c) -5 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -5 + sqrt(567) + -3 + sqrt(567) + ((2 + sqrt(7) - sqrt(7))*2 - (-2 + sqrt(343))**2).\nAnswer: -351 + 46*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*i = 0, 4*l = -0*l - 5*i + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -2122\/3 + 691. What is the common denominator of k and -10\/459?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 13845*m - 7*m**2 - 6915*m - 6929*m - 6*m**2.\nAnswer: -13*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 2247 is divided by 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence mdiy when four letters picked without replacement from {m: 1, i: 2, d: 1, r: 1, y: 1, u: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let h(z) = -z**3 + 11*z**2 + 10*z - 9. Let d be h(12). Calculate the remainder when (d - -3)*(-2)\/3 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -3, -385, 198, 5 in ascending order.\nAnswer: -385, -3, 5, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 500 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Work out -13289.9 + 0.330592.\nAnswer: -13289.569408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -28744, -57491, -86238, -114985, -143732, -172479?\nAnswer: -201226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 0.39 - -0.59. Let q = -0.9 + i. Let o = 0.12 + q. Is -4 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (1 + -2 + 2)\/((-14)\/(-8))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*j**5 - 2240*j**4 + 284364*j**3 + 11497592*j**2 + 32468752*j + 21257760 = 0. What is j?\nAnswer: -661, -30, -2, -1, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*w - 40 = -h, -15*h = -11*h - 16. What is the lowest common multiple of 270 and w?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in -6, -1, -4\/5, 67?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 530 minutes after 1:01 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 1168 and 3799212.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: 6232530 divided by 1246506\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Factor n**2 + 8188*n - 57365.\nAnswer: (n - 7)*(n + 8195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Is 600 less than 1424158\/2377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(128) - (sqrt(128)*2*3 + sqrt(128)))*1 + 5)*1.\nAnswer: -48*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 1202\/21 - 170\/3. Suppose 5*h = 1 + 14. Let z be ((-39)\/(-12) - h)\/(18\/8). Which is the closest to -1? (a) 0.4 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(i) = -i**3 - 75*i**2 - 7*i - 513. Determine s(-75).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 199 is divided by 86.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Solve 11*i - 64*i = 23*i - 351 - 181 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 273*g**3 + 68 - 29 - 39.\nAnswer: 273*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 13 + -8. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the biggest value in 1\/15, -1.9, -0.5, -26\/5?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -158 + 13*i**3 + 158.\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is 9702041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -11481, -22780, -34079, -45378, -56677, -67976?\nAnswer: -79275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (3*y + 0*y - 5*y)*(-103*y**2 + 16*y**3 + 103*y**2) to m*y**3 + w*y + n*y**4 + x*y**2 + h and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let u(q) = q**2 - 4*q - 7. Let n be u(6). Suppose 0 = 3*l - n*l - 44. Is l != -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of 0.13773 and -0.2.\nAnswer: -0.027546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*n = -0*n + 40. Let a be ((-128)\/(-6) - -4)*3. Let h = n + a. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 2070 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is -1115 - 23?\nAnswer: -1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*u - 18 + 2 = 0. Suppose 5*b - 2*j + j = 8, -3*b + j + u = 0. Solve 2*i + 4 = -2*m, m = -b*i - 7 - 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 539729426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) -1\/33999 (b) -0.19 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let g(s) = -11*s**2 - 15*s - 6. Let j(p) = -5*p**2 - 8*p - 3. Let w(i) = -6*g(i) + 13*j(i). Determine w(11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be (60\/(-3925))\/(40\/200). Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(d) = -112*d**2 - 1562*d - 1458. Let z(o) = -o**3 + 337*o**2 + 4684*o + 4374. Let x(k) = 14*y(k) + 4*z(k). Solve x(v) = 0 for v.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 42596 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence wz when two letters picked without replacement from {z: 3, s: 5, w: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Round -5385.8093 to the nearest 100.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -11*a + 218 = -112. Calculate the remainder when 599 is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(j) = -2*j**2 - 5 + 2*j - 5*j**2 + 0*j**2 - 1 - 2*j**3. Let g be y(-4). What is the hundreds digit of -408*(0 + (-1)\/g)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 142926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Is 366843772 a multiple of 7718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: -19698 (base 14) to base 15\nAnswer: -1414c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -2*b - 3*l + 18, 9*l - 8 = 7*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 177917 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: -8.288 - -0.03912237\nAnswer: -8.24887763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve -12 = 27*v - 100 + 493 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let h(f) be the second derivative of f**7\/840 - f**6\/360 + 2*f**3\/3 + 3*f. Let x(r) be the second derivative of h(r). Solve x(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 255 a factor of 286110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Put together 105.3947838 and 0.1247.\nAnswer: 105.5194838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (2 - ((-12)\/69 - -2))\/(-2). Let h = 0.0837 + -3.0837. Let p be ((-3)\/12)\/(3\/(-4)). What is the fourth smallest value in p, 0.5, h, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*r + p = 54004, 4131 = 3*r - 2*p - 49861. Round r to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(c) = -2*c**3 + 15*c**2 - 6*c - 3. Let p be x(7). Let n(o) = -o + 7. Let j be n(5). Determine g, given that 3*g**p - 3 + 0*g**4 + 6 - 6*g**j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 4*q - 5*q - 5*q + (q + 5*q - 4*q)*(-3 + 3 + 1) - 5*q + 0*q + q in the form d + i*q and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let x(f) = -4*f + 3. Suppose 3*q = 8 + 22. Let p(i) = -8*i + 6. Let w(o) = q*x(o) - 6*p(o). Is w(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 10\/3 - 3. Which is the closest to -3? (a) -4\/3 (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 85105 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Is 53121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*m - 10 + 14 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Is (16\/3)\/(34\/357) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(z) = -5*z - 28. Let d be p(-12). Let f = 34 - d. Solve -2*q = -5*b + 17, 5*q = 3*q + f*b - 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 11 (base 12) to base 14\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 3170551 > 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 26161207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 664b97 (base 12) in base 4?\nAnswer: 12030332203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -128 + 78. What is the remainder when 0\/(-7) - (m - -1) is divided by (4\/10)\/(10\/250)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*y - 13 = -3*a, -4*y + 2*y - 6 = 4*a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 3 in -63, 4, -2\/14345, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: -60515 divided by -5\nAnswer: 12103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 116 + -206. Let o = u + 80. Calculate the lowest common multiple of (0 - 1*-2)*(-8 - o) and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 1\/403 + 6837\/5642. Find the common denominator of 12\/5 and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(s) = 342*s + 8897. Let n be o(-26). Put n, 162, 2, -4 in ascending order.\nAnswer: -4, 2, n, 162","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -3*u + 4*u**2 + 3*u - u + 2*u to the form n*u**2 + x*u + b and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let s(b) = 22*b + 17. Give s(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 0 > -24\/1169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 2.32 + -6.32. Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {y: 5}. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2070 = -10*s + 4*s. Is -1 + (4 - 9) + s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(f) = -f**3 + 3*f**2 - 1. Let p be q(2). Suppose 2*s + p = -s. Let z = 2.15 - 2.45. Which is the closest to s? (a) z (b) -1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -1, -2, -194, -28 in increasing order.\nAnswer: -194, -28, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Convert 84 (base 11) to base 8.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let f(u) = -7*u**3 - 2*u**2 - 29*u - 46. What is the smallest common multiple of f(-2) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-n + 0*n - 2*n + (5*n - 2*n - 2*n)*(1 - 1 + 1) + 0*n - 10*n + 0*n)*(-13*n + 4*n + 32*n**4 + 7*n).\nAnswer: -384*n**5 + 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 12 + (6 + -18 - -18).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((h\/h**(-11))\/(h\/h**(5\/8)*h))**47 assuming h is positive.\nAnswer: h**(3995\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(33)\/(sqrt(300) + (sqrt(300) - (sqrt(300) + 1*sqrt(300) + sqrt(300))) - sqrt(300)) + 4*(-2*sqrt(110) - sqrt(110))\/sqrt(10).\nAnswer: -241*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let x be -1 + 1*(-2719)\/24. Let q = 739\/6 + x. Calculate the common denominator of q and -31\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-12)\/10*195\/(-78).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 58625281.\nAnswer: 11, 13, 409967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 5\/3? (a) 60 (b) 5 (c) -17 (d) 3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:10 AM and 5:23 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the lth term of -2010868, -4021526, -6032184, -8042842, -10053500, -12064158?\n\"Answer: -2010658*l - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-h - h - h)*(0 + 0 - h) - 3*h**2 + 3*h**2 + h**2 + (-3*h + 0 + 0)*(h - 3*h + 0*h).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is 7 + (10 - 5 - 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 105736926 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve b + 5 = -k, -1274*k + 1274*k - 5 = -5*b for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Does 43 divide 1323263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let m(i) = -i**2 + 1. Let a = -14 + 13. Let w be (1 - (-1 + 4))*a. Suppose w*n = -3*n + 5. What is m(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -67 - -129\/2. Let x = 31 + -33.4. Let s = 2 + x. Which is the third biggest value? (a) 1 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (9 - 9 - 6*j)*(2 - 2*j - 2)*(1 + 7 + 10).\nAnswer: 216*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -3 + 51*p - 4*p**4 - 3*p**2 + 1787*p**3 - 1785*p**3 + 3*p**2 + 1 to the form q*p**2 + a + r*p**3 + w*p + c*p**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 14904.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 573 minutes before 3:52 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 1823.45 rounded to the nearest ten?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let d be ((-5)\/(10\/6))\/((-6)\/8). Let n be d - (1 - (-4 + 4)). Solve -n*r = -5*o - 2*r - 19, 4*r = -4*o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -25 in -0.1, 2\/3, 0.5, -58716, 2\/19, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {c: 3, s: 6, j: 1, r: 1, o: 5, z: 1}. What is prob of picking 1 r and 1 z?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Put -5, -346\/1817, 4, 1.5 in decreasing order.\nAnswer: 4, 1.5, -346\/1817, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let c(v) = 4*v**2 + 4186*v + 137690. Determine c(-34).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Round -418.6642887 to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2*-5*((1*sqrt(2736)*4)**2 - (2 + sqrt(2736)*1)) + 1.\nAnswer: -437739 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let w be (-2 + -2)*15 - -3. Let b = 10 - w. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 333 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -344 - -356. Let c be w\/28 - (0 - 30\/(-24)). Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*v = 5*g - 326, g - 2*v = 93 - 35. Calculate the remainder when 319 is divided by g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 4 + -8. Let v = -28 - -39. Suppose -3*m = -4*l - v, -l = 4*m - 2*m. Sort 3, m, s in descending order.\nAnswer: 3, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(x) = x**2 - 4*x + 1. Let a be k(3). Suppose 14*q + 268 = -222. What are the prime factors of (-21)\/a*(-60)\/q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 12.3 - 12. Let k = 0.017 + -0.417. Which is the nearest to -0.2? (a) k (b) g (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(325) - ((sqrt(325) + 0)*6)**2) + 1.\nAnswer: -11699 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: -0.7339 times -0.4\nAnswer: 0.29356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Put 1, 87, 2, -13, -2, 106, -4 in increasing order.\nAnswer: -13, -4, -2, 1, 2, 87, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let t be 2\/(1\/(-3)*2). Let o be 1*6\/(-63)*t. Let h = -19116 - -19122. Which is the smallest value? (a) h (b) -3 (c) 1 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*x - 3*l = -l + 36, -2*x = -l - 14. Let o(z) = z**3 - 26*z**2 + 49*z - 16. Suppose 89 = 6*j - 55. What is the least common multiple of x and o(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -3555882516680400.9999958 + 3555882046489545. Let z = d - -470190814. Let s = z + 42. Round s to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 637 is divided by 198.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-22 + -11 - -106) + -32 + 23?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*y + 225 = 47*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((40\/28)\/((-56)\/490))\/((-205)\/492)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Factor -4*b**3 + 1960*b**2 + 259216*b - 526240.\nAnswer: -4*(b - 598)*(b - 2)*(b + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the eighth root of 26139673 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 9 - 8.97. Let i = 0.0299967 - x. Round i to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*t + 2*n - 800 = 5*n, 4*n + 648 = 4*t. What are the prime factors of t?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 3746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 2 + 7556\/(-762)*(27 - 33). Let m = w - 123\/2. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 23596, 23561, 23494, 23395, 23264, 23101, 22906?\nAnswer: 22679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -18? (a) -2 (b) -1\/2 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from eaeaheeahaae. Give prob of picking 2 e, 1 a, and 1 h.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence aari when four letters picked without replacement from {a: 6, r: 1, i: 7, g: 4, t: 2}.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Round 524.593 to the nearest integer.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -553 + 550. Let g(r) be the third derivative of r**6\/120 - r**4\/12 - r**3\/6 - 2*r**2. Let c be g(2). Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-368)\/(-828))\/(20\/6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 15\/(-54)*71\/(2130\/(-96)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 2\/3 in -19, 1\/8, 5, 0.4, 3\/20936?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 555 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -184 + 262. What is the closest to 0 in n, 2\/13, -2\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (-2 - -594)*11\/(-11). Suppose 4*v - 116 = -5*y + 101, 2*v - 4*y = 128. What is the remainder when v is divided by (6\/5)\/(3 - b\/(-200))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 242*n**5 + 234*n?\nAnswer: 4840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is 681 minutes before 2:30 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 1717700 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 536280 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve -v**2\/3 - 3435524*v\/3 - 2290348 = 0.\nAnswer: -3435522, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -205595918*t**3*z**2 + 258*t**2*z - 3*t**2 + 23836*z**2 wrt t.\nAnswer: -1233575508*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*u - 20 = 7159*h - 7156*h, -32 = 3*u + 5*h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 0 - -6*(-1)\/(-2). Let s(q) = q**2 - 4. Let w be s(r). Suppose -2*a - 152 = z - 0*a, w*a + 605 = -4*z. Round z to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 3*(sqrt(68) + 4 - sqrt(17)).\nAnswer: 12 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (2 - 1)*-4 + -10. Let t be (k\/147*3)\/(2\/(-14)). Sort 91, -4, 4, t in decreasing order.\nAnswer: 91, 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(z) be the third derivative of z**4\/24 + z**3\/2 - 97*z**2. Calculate o(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose f - 11 = i - 2, 4*f - 41 = 5*i. Suppose -2*l + u = 2*u + 5, 25 = f*l - 5*u. What is the biggest value in -0.4, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 145, 1357, 4695, 11221, 21997, 38085, 60547, 90445?\nAnswer: 128841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 16383 is divided by 1818.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {m: 1, t: 2, n: 1, f: 2}. Give prob of picking 1 n, 1 t, and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let s be 1 - (1 + -1 + 0). Let p be (s\/1476)\/(4\/584). Let d = p + 1\/82. Which is the third smallest value? (a) d (b) 5 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -11211 = 2458*a + 1395*a + 1669*a + 5355 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Factor -6*p**4 + 56*p**3 + 40*p**2.\nAnswer: -2*p**2*(p - 10)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((n**(-3)\/n)\/n**(-7))**(6\/5) assuming n is positive.\nAnswer: n**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = m - k - 63, -3*m - 2*m = 5*k - 285. What is the remainder when 177 is divided by m?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Do 1\/27225117 and -0.04 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: -54 * 0.3\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.00001099624 rounded to seven decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Determine q so that -q**2\/5 + 4371*q\/5 - 647514 = 0.\nAnswer: 945, 3426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 840 is divided by 141?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) 12\/23 (b) -1\/6 (c) 136.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (1260\/(-30))\/(-22*20\/240*-6)?\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:54 PM and 4:25 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 82 + -48. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 22359*s**3*x**2 + 8*s**2*x - 4*s - x**2 - 2*x wrt s.\nAnswer: 134154*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let v(g) = 738453*g**2. Let b(s) = 39*s + 1. Determine b(v(r)).\nAnswer: 28799667*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 355, 353, 349, 343, 335, 325, 313?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 14? (a) 5 (b) 0.05 (c) -4 (d) -26\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*m + 3*q = -5, 7*m = 2*m - 2*q - 16. Let y = 8 + -4. Suppose -c = -3 + y. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(i) = i**3 + 1. Let t(g) = 8*g**3 + 3. Let d = 73 - 68. Let n(z) = -4*z + 19. Let h be n(d). What is h*t(x) + 3*u(x)?\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 0 in 0.2, 10.4, 3553\/6, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is (2 - (-5 - (5 + -12))) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*c - 6 = 3*h, -3*h + 6 + 2 = 4*c. Suppose h = -5*s - 5, -4*b - 4*s - 17 = -3*s. Let n be ((-65)\/(-9) - 1) + 4\/(-18). Sort n, -3, b in descending order.\nAnswer: n, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 0 + 0.2. Let p = 3.16 - 3.247. Let q = -0.413 + p. Which is the third smallest value? (a) -0.01 (b) i (c) q (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Add together 7790169849 and -8607.\nAnswer: 7790161242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is -1 less than 29990?\nAnswer: 29991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2*(3 + -2 + -1*sqrt(2299) + sqrt(684) + 4)**2.\nAnswer: -100*sqrt(19) + 1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -i**5\/7 + 6*i**4 - 283*i**3\/7 - 498*i**2\/7 + 164*i + 1320\/7 = 0.\nAnswer: -2, -1, 2, 10, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Is 71 greater than 1152364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Solve 66*d - 74 = -2*r - 330, -3*d + 3*r = 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 4 + -9. Let j = b - 0. Let z = -1.6 - -1.7. Put j, -3\/2, z in ascending order.\nAnswer: j, -3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -37 = -10*s + 5*s + 4*l, -5*s = 5*l - 10. Let h(j) be the second derivative of 0 + j**2 + 1\/20*j**s + 1\/4*j**4 + 1\/2*j**3 - 5*j. What is h(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (i**2 - 4*i**2 + 5*i**2)*(33*i - 33*i + 3*i**2) + 2*i**4 + 0*i**4 - 4*i**4.\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let j(c) = 8284*c. Let p(t) = 62*t. What is j(p(q))?\nAnswer: 513608*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 t and 2 l when four letters picked without replacement from {q: 2, x: 5, l: 3, t: 3, k: 5}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -446*g**2 - 439*g**2 + 884*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -37 + 36. Which is the closest to -18? (a) -5 (b) 10 (c) 0.1 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve w**5\/5 - 21*w**4 + 206*w**3\/5 + 2*w**2\/5 - 207*w\/5 + 103\/5 = 0.\nAnswer: -1, 1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 10664 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 15*k - 12*k - 3556 = -2*c, 4*c = -2*k + 7112. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 9, 2, -4, 406.\nAnswer: -4, 2, 9, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 667 and 78338?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Convert 22 (base 4) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 2796 is divided by 384?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is -11 (base 11) in base 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 4.49 - 2398183981.\nAnswer: -2398183976.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((q**(4\/5))**42\/((q\/(q\/((q**(-8)*q)\/q)))\/(q\/(q**12\/q))))**(1\/41) assuming q is positive.\nAnswer: q**(158\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence lfff when four letters picked without replacement from {a: 1, f: 7, j: 4, l: 1}?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*i - 6 + 6)*(2*i - 6*i + 2*i) + 6*i + i**2 - 1 - 6*i.\nAnswer: -3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 20509285921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Total of 873.103 and 5.74.\nAnswer: 878.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: 11300 (base 7) to base 9\nAnswer: 3862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let z(u) = 28*u - 1543. Determine z(27).\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let d be ((-20)\/30)\/(1\/(3\/(-2))). Let o be (d + 0)\/((5 - 3) + -3). Let p = 1 + -0.8. Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*g - 149 = z - 142, 0 = 3*z + g - 14. Let q(m) be the third derivative of 5\/4*m**4 + 0 + 1\/12*m**5 + 3*m**2 + 0*m + 15\/2*m**z. Factor q(d).\nAnswer: 5*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {h: 1, v: 1, r: 2, j: 1, z: 1, c: 2}. What is prob of sequence czr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*z - 68 + 71. Which is smaller: -2\/27 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w be ((2 - 4) + 1)*1 - 1. Let m(l) = -3*l + l + l. Calculate m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(b) be the third derivative of b**5\/4 - b**4\/24 + 25*b**2. Let d be x(1). Suppose 26 = 5*r - d. Calculate the highest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 3*o**2 - 4*o**3 + 6*o**3 - 3*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*w + 4*g + 17 = -11, 0 = -2*w - 4*g + 2. Let k(m) = -m**3 + 2. Let l be k(0). Solve 4\/7*h - 10\/7*h**l + 0 - 6\/7*h**w = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 164543\/166088 + -1\/3194. Calculate the common denominator of -163\/468 and d.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of (-840)\/3276*(-14)\/(-4) and -67\/36?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (s*s**(-28))**(6\/11) assuming s is positive.\nAnswer: s**(-162\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: How many months are there in 2134.57 millennia?\nAnswer: 25614840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 4384 + -48222\/11. Let f = -19 - -19.1. Put f, -1\/2, v, -0.2 in decreasing order.\nAnswer: v, f, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ath term of -2, 12, 58, 154, 318, 568, 922?\n\"Answer: 3*a**3 - 2*a**2 - a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let o(t) = 4*t**2 + 170*t - 420. Determine o(-46).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((-3*2*sqrt(132) + sqrt(132) + sqrt(132))*-2)\/(sqrt(108)\/(sqrt(9)*1 + sqrt(9)) + sqrt(108)*-6))**2.\nAnswer: 2816\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 105, 113, 131, 165, 221, 305, 423, 581?\n\"Answer: v**3 - v**2 + 4*v + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -6*t + 3*t + 6, 5*t - 142 = -3*s. Calculate the greatest common factor of s and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -3? (a) -0.2 (b) -1 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -11846.6908 and -1.\nAnswer: 11846.6908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (n**(-2)\/n)**(-1\/29)\/(n*n**(-2\/5)*n*n*n\/(n**(2\/7)\/n)) assuming n is positive.\nAnswer: n**(-4274\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Factor 2*x**5 - 4*x**3 + 2*x**5 - x**2 + 8*x**4 - 3*x**2 - 4*x**2.\nAnswer: 4*x**2*(x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*j = -0*j - 5*u + 24, 5*j + 4*u = 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let w(f) = -f**3 + 15*f**2 + f - 10. Let m be w(15). Suppose -3*h - m*c = -109, h + c - 32 = 1. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 426011 (base 11) in base 14?\nAnswer: 13a4d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 82*l = -100 - 183 + 37 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*v + p + 4 = 0, -2*p = 3*v - 5*p. Let j = 11 - 11. Suppose 8*d - v*d - 368 = j. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -3*h**2 + h**2 - h**2 + 2*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is 22 a factor of (-43)\/(-15) + -3 + (-3748942)\/(-1065)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 5, k: 2, o: 11, c: 1}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let l(x) = x**3 - 5*x**2 - 18*x + 29. Let j be l(7). Sort j, 4, 59.\nAnswer: j, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.005289 rounded to four dps?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 170766 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let k(c) be the first derivative of -2*c**2 + c - 6. Give k(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 22\/843 and -16\/747?\nAnswer: 209907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 0? (a) 13 (b) -0.18 (c) -3 (d) -5 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 3312405178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -5*x**2 + 4*x**2 + 3*x**2 + (2*x**2 + 3*x**2 - 3*x**2)*(4 + 7 + 9) + x**2 + 1 - 1 to n*x**2 + p*x + y and give n.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Solve 835 + 226 + 2989 = -2485*g + 2890*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 16 = -d + 5*d. Let m be (-6 + 2)\/(d\/(-6)). Let n = m + 1. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(q) = q**3 + 5*q**2 - 8*q - 7. Let o be g(-6). Suppose -88 = -5*p - 4*m, 6*p - o*m = p + 70. Let z = p + 4. Solve 4*k + z = -0*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -4, 9, -3, -1 in increasing order.\nAnswer: -4, -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: 24202464 divided by -5676\nAnswer: -4264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from ifuvfru.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {i: 1, w: 2, f: 7}. Give prob of sequence ffw.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Divide -360012 by -6316.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {z: 8, c: 2, h: 6, i: 2}. Give prob of sequence zz.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let o(w) = -91474*w - 74. Let d be o(-1). What is d rounded to the nearest 1000?\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 386 minutes before 8:24 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) -5 (b) -531 (c) -3 (d) -3\/34 (e) 1 (f) 185 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 163\/(-326)*1*(-2)\/((-2)\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*f + 2*k + 10, -2*k + 5*k = -2*f - 15. Let d(j) = f*j**3 - j**2 - j**3 + 2*j**3. Let p(c) = -4*c**3 + 2*c**2 + 3*c**2 - 2*c**3. Give 5*d(w) + p(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {h: 4, q: 6, y: 4}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 1085.42 rounded to the nearest 10?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let c(i) be the third derivative of i**6\/120 - i**4\/24 + i**3\/6 - 3*i**2. Let v be c(2). Suppose -2*f = -5*f + 9. Solve -4*k + v*k = 6, 3*k - 3 = f*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 6910 - 6909.93. Which is the nearest to -0.1? (a) v (b) 0.1 (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -14 - 16. What are the prime factors of v\/(56\/(-12) + 4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is -22443 + -533?\nAnswer: -23420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Simplify m**(4\/7)\/(m**(-29)*m)*(m\/((m*m*m*m\/(m**20*m))\/m))\/(m\/m**(1\/24)*m) assuming m is positive.\nAnswer: m**(7663\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence dtx when three letters picked without replacement from xqqdqtqmt.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 2203980*p**2 - p - 2876729?\nAnswer: 4407960*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 2 - (-2)\/2 - 0. Suppose 3*h + 46 = 5*r + 19, 14 = -2*r - 5*h. Suppose 2*d - w*d + 13 = 3*a, r*d = -15. What is the greatest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d be (-3)\/(1\/28*-6). Let f(o) = d*o + 13*o - 8*o - 4*o. Let l(i) be the third derivative of i**4\/24 + 4*i**2. Determine f(l(b)).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from ddiidiiidi. What is prob of sequence id?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let p(j) = 127*j + 49. Let y(h) = 128*h + 50. Let w(u) = 3*p(u) - 4*y(u). Is w(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ath term of 24, 52, 80, 108?\n\"Answer: 28*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-12)\/48)\/(1\/1) + (-7)\/196.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -3*t - 2*l + 8, -2 = 2*t - 4*t - 3*l. Let r be (-162)\/(-4) - t\/8. Let c = r + -9. Calculate the greatest common factor of c and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(55) - 4*sqrt(440)\/sqrt(8))\/sqrt(11).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Total of 0.07 and 2.4.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is -772191 divided by -11?\nAnswer: 772191\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*j - 3*x - 3, 4*j = -3*x - x - 8. Let p be (4\/3)\/((-2)\/j). Sort -1, -3, p in ascending order.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be (-466)\/(-13) - 2\/(-13). Let y be 25\/z - (-3)\/(-12). Let p = 113\/3 - 38. What is the smallest value in y, p, 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -2172 + 34749\/16. Are 1 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1966?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let n(d) = -19*d**2 + 1413*d - 513. What is n(74)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1016.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1141 + 2433 - 80 - 138 - 146)*(0 + 0 - 2*i).\nAnswer: -6420*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Total of 7543827597404.2 and 0.3.\nAnswer: 7543827597404.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the eighth root of 44171978 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1*-1*((-9)\/(-18))\/((-8)\/(-80)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 12990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 189317887.\nAnswer: 11, 29, 593473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Is 25729880411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*h - j - 653, -h + 128 + 11 = -3*j. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(u) be the first derivative of u**3\/3 - u**2\/2 + u + 721. Let y(x) = -8*x**2 + 3*x - 4. Determine -3*s(t) - y(t).\nAnswer: 5*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 21, 118, 303, 600, 1033, 1626, 2403?\nAnswer: 3388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 3*(1*(sqrt(3) + -1)**2 - (2 + sqrt(243))).\nAnswer: -33*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -11*o**2*y**2 - 36216*o**2 - 11*o*y**2 - 3*o + 35*y**2 + y - 1 wrt y?\nAnswer: -22*o**2*y - 22*o*y + 70*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 35649982.\nAnswer: 2, 443, 40237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Is 11133413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 102.8 + -103. Which is the nearest to -0.04? (a) g (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(g) be the third derivative of g**6\/120 + 5*g**5\/12 + 25*g**4\/24 + 14*g**3\/3 + g**2 + 45. Let x be u(-24). Factor -1\/2*i**x - 1\/2*i**2 + 0 + i**3 + 0*i.\nAnswer: -i**2*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1176294883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 0, -17, -110, -303, -620, -1085?\nAnswer: -1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 120 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from xxxxxx. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 179*x**2 - 177*x**2 - 4 + 0 with respect to x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(l) be the third derivative of 0 + 0*l**6 + 0*l**3 + 1\/336*l**8 + 0*l**5 - 5*l**2 + 0*l - 5\/24*l**4 + 0*l**7. What is the second derivative of q(c) wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (d**(-3\/8)\/d**(2\/15))\/(d\/(d**12\/d*d)*d*d**(4\/9)) assuming d is positive.\nAnswer: d**(3257\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let l(f) = 3*f - 21. Let a be l(11). Suppose 0*m - 1 = -m. Let q be 42\/a - m\/2. Solve g - 2*g - q*r - 1 = 0, 0 = -4*r - 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (-5 - -2) + 6*1\/2. Suppose 2*k + 47 = -2*c - 3*c, i = 2*c - k + 17. Sort c, 2, -5.\nAnswer: c, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -216, -4206, -16814, -42912, -87372, -155066, -250866, -379644?\nAnswer: -546272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 147375 and 7860?\nAnswer: 589500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let q(n) = -13*n**2. Let c(u) = 29*u. Let m(o) = -18*o. Let x(t) = -4*c(t) - 9*m(t). What is q(x(g))?\nAnswer: -27508*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let w(f) be the second derivative of f**6\/10 - 21*f**5\/10 + 2*f**4 + 31*f**3 + 117*f**2\/2 - 2*f + 50. Determine h, given that w(h) = 0.\nAnswer: -1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(o) = -4*o - 56. Let d be i(-15). Solve 4*w - 8 - d = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*l = -l + 8, -4*f - l + 12 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -6 in -0.2, -114, -4, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is -42183.395 times -5?\nAnswer: 210916.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4 + 2 = -2*s. Suppose -42 = 2*q + 4*l, 7*q = 3*q - 4*l - 92. Let z = -26 - q. Which is the second biggest value? (a) z (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -253 + 153 = -10*i. Solve -i = 17*j - 27 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 12 a factor of 2\/(1\/(87\/3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (37*q + 51*q - 57*q)*(4 - 3 + 0 + 82*q - 1).\nAnswer: 2542*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is o in o**4\/2 - 15*o**3\/2 + 19*o**2\/2 + 87*o\/2 + 26 = 0?\nAnswer: -1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let k(p) = p**3 + 5*p**2 + 2*p - 5. Let g be k(-4). Suppose 5*n - 293 - 42 = 0. Suppose -g*u + n = -14. Solve 2*b = -b + 15, -3*b = -4*s - u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 22 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Convert 5.680609 minutes to microseconds.\nAnswer: 340836540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Sort -51, -141, -2 in descending order.\nAnswer: -2, -51, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Divide 23196 by 4.\nAnswer: 5799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let c(d) = -3*d + 64. Let u be c(16). Suppose h - 11 = -3*o, -27*o - u = -29*o - 5*h. Solve m + 17 = 5*q, 3*m - o*q + 7 = q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-4)\/(-14) + 24\/(-35). Let x = 10.08 - 0.08. Let c = 10.3 - x. Put o, -0.03, c in increasing order.\nAnswer: o, -0.03, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -3.08 + 0.08. Let m = 0.01 + -0.51. What is the smallest value in k, 5, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(i) = -2*i**3 - 159*i**2 - 275*i - 3193. Determine f(-78).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*m = -15, 3*y - 545 = -m - 197. Suppose -32 = 5*z - y. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -0.055 + -1.415. Let r = 1.537 + l. What is r rounded to 3 decimal places?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from acccbecsaccccabcc. Give prob of sequence ab.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -151247\/274638 + -2\/3521. What is the common denominator of a and -71\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*l - 18 = -3*f - 3, -3 = -l + 4*f. Calculate the common denominator of (-20)\/(-84)*3*6\/3 and (-167)\/(-10) - 2 - l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 19.48567 rounded to 2 decimal places?\nAnswer: 19.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 b, 1 o, 1 z, and 1 d when four letters picked without replacement from {u: 1, o: 4, d: 2, z: 7, b: 1}?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -114*h - 86*h - 20276 + 20276.\nAnswer: -200*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*m = 2*x - 6*x + 55, -4*x + m + 61 = 0. Let z = x + 389. Suppose -l - 136 = -i - 2*l, 3*i + 4*l = z. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -81*n**2 + 164*n**2 - 86*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 270 is divided by 228?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 14 - 9. Suppose 0*w - r = -w. Suppose w*l = 3*l + 358. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 428 - 428. Let g(o) be the second derivative of -o + n*o**2 + 0*o**3 + 0 + 1\/6*o**4. Let c(q) = -4*q. What is c(g(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of d*p**5 + 282001429*d*p**3 + 35*d*p**2 + 2*d*p - 2*d + 3*p**2 - 3*p - 1508 wrt p.\nAnswer: 60*d*p**2 + 1692008574*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve -200*l + 138 = 660 + 278 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 598.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -1\/4 in 1\/2, 3, -7, -0.071?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 16\/2 - (13 + (-1271)\/248).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) 526 (b) 143 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Expand (142*v - 87*v - 91*v)*(v + v - 4*v)*(0 + 3 - 1).\nAnswer: 144*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 23678\/20179 or 1?\nAnswer: 23678\/20179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is 466 minutes before 2:49 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is 29803 + -144?\nAnswer: 2969d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.017 (c) 0.03 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 5102 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Is 173807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -8 or 4107?\nAnswer: 4107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is -1 less than -104\/6164207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let l(q) = -q**3 + 2*q - 1. Let f be l(-2). Let n = 0.09 - -4.91. Let m = n - 4.7. What is the third biggest value in -2\/11, f, m?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Multiply 9 and -242.\nAnswer: -2178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -4 + 6. Suppose h - 24 = -f*h. Suppose -3*r = r. Solve j + j - h = r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 673438 is divided by 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of (24\/10 - (-13 - -15))*1465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(v) = v**2 + 14*v + 30. Let m be f(-12). Let n = 10 - 6. Sort 5, m, n in increasing order.\nAnswer: n, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -10665, -21310, -31955, -42600, -53245, -63890?\nAnswer: -74535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 0.6 - 31.6. Let o = t - -31.3. Which is the third biggest value? (a) -4 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (q**10*q*(((q\/(q*q**(-1\/7)))\/q)\/q*q)\/q)\/((q*(q**(-6)*q*q)\/q)\/(q\/(q*q*q**(-9)))) assuming q is positive.\nAnswer: q**(148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 3456*w**5 + 37*w**3 + 45751*w?\nAnswer: 69120*w**3 + 222*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 5924 - 5924.4. Let n = -0.1 - -0.2. Which is the nearest to n? (a) j (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 879?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Do 731 and -2837\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let x(h) = -3*h - 56. Let t be x(-18). Let b(f) = 147*f**2 - f - 8. Let c be b(t). Let w = c - 412. Calculate the greatest common factor of 68 and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be (-4)\/((-1 + 0)*2). Suppose -8 = -2*h - p*h. Factor 3\/2*s + 3\/2*s**h + 1\/2 + 1\/2*s**3.\nAnswer: (s + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*b = 3*d - 77, -5*d + 5 = -0. Let t = b - -53. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {t: 2, f: 7, e: 7, d: 1}. Give prob of picking 1 f, 1 e, and 2 t.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 10:02 PM and 7:43 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Work out -683 * 5.\nAnswer: -3415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -3.7 - -3.808. Let s = -0.16 + k. Round s to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 32255983 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Find w such that 4*w**3\/7 + 1472*w**2\/7 - 448*w - 164864 = 0.\nAnswer: -368, -28, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 155418 divided by -51806.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is 3527411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: -11000 divided by -5\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -12 = -d - 5*p, -3*p = 3*d - 0*p - 72. Let g(r) = -3*r - 1 + 0 - 2. Let m be g(-4). What is the highest common divisor of m and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-1 - 1 + 4)*(5*w**2 - 4*w**2 - 2*w**2) + 59*w + 2091999*w**2 - 2092037*w**2 + 104*w.\nAnswer: -40*w**2 + 163*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -h*l + 204*h - l + 87 wrt h.\nAnswer: -l + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 75*i + 25 = 78*i - 2*m, 2*m = 5*i - 47. Let x = 0.036 - 5.036. What is the second biggest value in i, x, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in -68, 0.27, 5, -2.38?\nAnswer: -2.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -3195519, -3195515, -3195507, -3195495, -3195479, -3195459, -3195435?\nAnswer: -3195407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let z be (-300)\/(-155) + ((-58)\/62 - -1). Solve -n + 8 - z = 5*v, -5*v + 4*n = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*i + i + i)*(i**2 - 874*i + 314*i + 572*i + 7).\nAnswer: 2*i**3 + 24*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let k(i) = i**3 - 1257*i**2 - 120*i + 150895. Give k(1257).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Total of 7.7 and -2964.\nAnswer: -2956.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 2166.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (-2 + (-36)\/(-15))*5. Solve -i*g = 4*b + 24, -3*g - 2 + 21 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 1 - 1.1. Let f be 1\/2*(3 + (-105)\/30). Let w = -3 + 6. Which is the nearest to f? (a) y (b) 3\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 5285, 10579, 15859, 21119, 26353, 31555, 36719?\nAnswer: 41839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let i(g) = -2*g**2. Let m(d) = 16444*d**2. Give i(m(r)).\nAnswer: -540810272*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 70*q - 91*q + 651. What is the remainder when 83 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(q) = -q**3 + 15*q**2 + 48*q + 108. Let a be c(18). Let v(s) be the first derivative of -s**3\/3 - s**2\/2 - 6*s + 1. Give v(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 101111111100 (base 2) to base 15.\nAnswer: d98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from ppqaupppp. What is prob of picking 2 p?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) 0.3 (c) -4.4 (d) -2\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Is 101725115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 0.01 + 1.99. Suppose 22 + 17 = 16*q + 23. Which is the nearest to q? (a) 2\/7 (b) v (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 8 and 3614.\nAnswer: 14456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (d**(-20)*d**(1\/11))\/((d\/(d\/d**12*d))\/d*d*d\/(d**(-23)\/d)*d) assuming d is positive.\nAnswer: d**(-626\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 2216329.\nAnswer: 443, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let g(c) = c**3 + 26*c**2 + 98*c + 25. Let l be g(-6). Solve 0 = -4*y + a - 11, -155*y + 9 = -l*y - 3*a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 650 = -20*s + 530 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 35*y**3 + 18*y**2 - 18*y**2.\nAnswer: 35*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 61359 is divided by 20447?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1736599 is divided by 759.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 1808670 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let y(h) = 21*h**2 + 27*h - 164. List the prime factors of y(7).\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: -4 + 2 + 2 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-5 + (0 + -1 + sqrt(176) + sqrt(176))*1 - (sqrt(5500) + sqrt(5500)*1)\/(sqrt(80)\/sqrt(4)))**2.\nAnswer: 24*sqrt(11) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -74 - -112. Suppose 4*m - f = -2*y, 0 = -4*m - 3*y + 64 - 23. Solve 3*a - 5*a = m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(f) = 14*f**2 + 2*f. Let i be z(-1). What is the tens digit of (152\/i)\/(67\/33 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-1992)\/24900*10\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 0 or -741\/8761?\nAnswer: -741\/8761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -2*g**6 + 103*g**3 - g**2 + 1071?\nAnswer: -240*g**3 + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 41898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let i(c) = c + 2. Let o(j) = -j**2 + 3*j + 5. What is 2*i(x) - o(x)?\nAnswer: x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Find d such that -2*d**2\/5 - 192*d\/5 - 4608\/5 = 0.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -97\/74426 and -49\/374?\nAnswer: 74426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 1*((-2)\/10 - (-438)\/15). Round w to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(o) = 63*o - 319. Let q be c(5). Put -28, q, 3, 4 in decreasing order.\nAnswer: 4, 3, q, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(i) = -i + 6. Let o(n) = n**2 + 6*n + 6. Let b be o(-10). Suppose 7*r + 4 = b. Calculate the lowest common multiple of r and y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 4485530949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Sort -208, 2, 3 in decreasing order.\nAnswer: 3, 2, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let d be 24\/672*12*14\/(4\/2). Let a(m) be the first derivative of 23\/3*m**d + 0*m**2 + 4*m + 3. What is the derivative of a(k) wrt k?\nAnswer: 46*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence bbg when three letters picked without replacement from vvfggfgbbkvkfvvv?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*g - 5*m + m - 27 = 0, -2*g = 4*m + 22. Let l be (2 + (-2 - 2))\/g. Which is the nearest to 2\/9? (a) l (b) 2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2326?\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:15 PM and 2:24 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: (-60)\/(-15)*140\/40\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 3 - 5 - 1 - p + 3*p to d + q*p and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Factor 5*w**5\/4 - 15*w**4\/4 + 15*w**3\/4 - 5*w**2\/4.\nAnswer: 5*w**2*(w - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -43*w + 840 = -211*w. Let m(r) be the second derivative of -r**4\/12 - 5*r**3\/6 + r. Give m(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -33018 - 9732 = -19*y. Suppose 26*a - 29*a = -y. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 6588103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 3354.553 decades in years?\nAnswer: 33545.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {x: 3, u: 3, j: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -13 + 12.5. Let l(o) = o**2 + 9*o + 14. Let d be l(-3). Let r be (-147)\/63 - (1 + d)*1. Sort c, -0.24, r.\nAnswer: c, -0.24, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*y + 4 = -2*s, -5*s + 0 = -2*y - 19. Let m be s - (-27)\/(-4 + 7). Let w = 158 + -50. Calculate the greatest common divisor of m and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 255 > 164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Convert -436206 (base 8) to base 10.\nAnswer: -146566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(152)\/(sqrt(288) - (-2*sqrt(288) - sqrt(288) - sqrt(288)) - sqrt(288)).\nAnswer: sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: How many centuries are there in 18069.051 months?\nAnswer: 15.0575425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 8765 is divided by 729?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is 542535 + -2?\nAnswer: 542533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Work out -1790 - -64.\nAnswer: -1726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let l(y) = -2*y**2 - 20*y - 23. Let v be l(-8). Solve -v = 3*o - 5*n, o - 4*n + 6 = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 4*d - d + d - d + 0*d - d + (2*d - d + 0*d)*(-5 + 3 + 3) - d - d + d + (-3 + 0 + 2)*(-4*d + d + 2*d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Express (-4*o + o + 2*o)*(-789 + 1998 - 324 + 99 + 1478 + 2076) in the form u*o + n and give u.\nAnswer: -4538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 5 + (0 - 7 - -1) - (1 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 97\/6846 and 80\/1533?\nAnswer: 499758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 r, 1 s, and 1 z when four letters picked without replacement from zrtjttjrtjjjrjjjjsr.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*m + 2*y = -30, 2*m - 3 = 5*y - 12. Find the common denominator of 68\/3*m\/(-28) and 13\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: 3 + 0 + (-12 - -17)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (w\/(w**(2\/3)*w))**(-37)*w*w**(-1\/7)*w**6*(w**(4\/3)*w**(1\/4))\/(w*w\/w**(-2\/5)*w*w**(-8)*w) assuming w is positive.\nAnswer: w**(5139\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -41\/4 + 11. Suppose 0 = -2*y + 4*i, 2*y - 10 = -y - 4*i. Sort v, 3, y.\nAnswer: v, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-27)\/(-5) - (23\/(-5) + 5). Solve 0 = 5*f - o - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-4)\/(-84)*(-3)\/(-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) -10 (b) 0.2 (c) -201 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in -5, 3, 7\/5, -160?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((y**(-1))**(-11\/3))**(2\/51)\/((y*y\/((y**(1\/2)\/y)\/y)*y*y)\/y*y**1)**(-1) assuming y is positive.\nAnswer: y**(1727\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (i\/(i*i*i**(6\/7))*i)\/((i**11\/i*i)\/i)*((i\/(i*(i*i*i**(8\/5))\/i))\/i)\/((i**(-8)*i)\/i*i) assuming i is positive.\nAnswer: i**(-261\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: How many nanometers are there in 1.59946m?\nAnswer: 1599460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -2.84 + 2.84. Let s = 0.2 - 0.4. Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*r = 4*z - 51, 3*r + 75*z = 80*z - 36. Which is the fifth smallest value? (a) 5 (b) 0.1 (c) -20 (d) r (e) 67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is -6 + -1394078?\nAnswer: -1394084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is 13 + -15 + 5 + 3 + 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of 3, 43, 155, 375, 739?\n\"Answer: 6*m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -1735305, -3470619, -5205935, -6941253, -8676573, -10411895, -12147219?\nAnswer: -13882545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 537 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let j be 4\/12 - 16\/3. Let u = j + 9. Suppose 0 = -u*s + s. Solve -k + 0 - 2 = s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -336 by -168.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of 2501, 5050, 7659, 10358, 13177, 16146, 19295, 22654?\n\"Answer: 5*r**3 + 2514*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve 12 = 2*w - 4*r, -4*w - 3 = -0*w + r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 1937, 1932, 1925, 1916, 1905, 1892, 1877?\nAnswer: 1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let d(k) = -251*k - 21. Let a(r) = 66*r + 5. Determine -9*a(b) - 2*d(b).\nAnswer: -92*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Solve -f**3\/6 + 34992*f**2 + 10783465*f\/2 + 622859237\/3 = 0 for f.\nAnswer: -77, 210106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 3666*i**2 - 1400*i**2 - 1623*i**2 - 1019*i**2.\nAnswer: -376*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 33 and 294?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let z(v) = -3*v. Let a(x) be the third derivative of 0 + 0*x**4 + 8*x**2 + 0*x + 0*x**3 - 1\/30*x**5. Calculate z(a(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 21348543.\nAnswer: 3, 2111, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let l(v) = v**2 + 49. Let x be l(0). Suppose 3*a - x = -4. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -1981 + 1785 = -4*x. Is x < 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*j + 8 - 8 = 0. Suppose 6*s + 418 + 2216 = j. What is the hundreds digit of s*(-2)\/8 - 2\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(n) = n**2 - 32*n - 5. What is u(32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let c(u) = 478*u - 352. Let b(y) = 104*y. Calculate c(b(d)).\nAnswer: 49712*d - 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-6*l**3 - 10*l**3 + l**3)*(-12 + 0 - 9)*((3 - 2 + 0)*(-1 + 1 + 1) + 0 + 2 - 4 + 1 - 2 + 3).\nAnswer: 315*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -1 + 3. Suppose q + 9 = k*q. Let n = -4 + q. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of -297528, -595048, -892568?\n\"Answer: -297520*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 324 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*z = 2*z - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -10157*m = -10171*m + 2212. Solve m = -3*l + 146 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of -23611, -15692, -7773, 146, 8065?\n\"Answer: 7919*q - 31530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let h(y) = y - 15. Let q be h(11). Sort 5, q, 0, -5 in increasing order.\nAnswer: -5, q, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose x - 6*x + 15 = 0. Suppose w + 2 = -b + 13, -x*b = 4*w - 47. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (7\/((-98)\/6))\/(4\/14)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose q + 5 = -0*q. Let t be q\/3*-1*3. Suppose 4*g - 2*r - 76 = -0*r, -t*r = 5*g - 65. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let 40*u**2 - 21*u**3 - 30 - 55*u + 27*u**3 - 11*u**3 - 70 = 0. Calculate u.\nAnswer: -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 35 - 33. Suppose -5*l + 233 = 3*u, p*u - l - 31 = 133. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -8 - -10. Suppose o - b*o = -517. Suppose 2*j - o = -5*g + 193, 3*g - 442 = 2*j. What is the greatest common divisor of g and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 2 + 2. Suppose -4*z + z = -6, -2*h - 5*z + a = 0. Let r = 7 - h. What is the highest common divisor of r and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine y, given that -y**5\/8 - 44*y**4 - 23001*y**3\/8 - 116975*y**2\/4 - 100075*y\/2 - 23625 = 0.\nAnswer: -270, -70, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is -180350.674 rounded to the nearest ten?\nAnswer: -180350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence qyhh when four letters picked without replacement from hyqrrhvhyhvhhrvqv?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 187003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -292*h**2 - 918*h**2 + 484*h**2 - 896*h**2 - 231*h**2 to the form w + l*h**2 + b*h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 2.5 - -0.5. Which is the second smallest value? (a) 5 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 65\/24 and 67\/93208.\nAnswer: 279624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -66.7 - -64. Let o = 1.3 - w. Which is the biggest value? (a) 0.2 (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 13 + 16. Let b = d - 25. What is the third smallest value in 1\/5, -2\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 10:36 AM and 11:53 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 103 a factor of 353142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let q(n) = 8*n - 2. Let g be (-10 + 0)\/(-2) - 1. Let l be q(g). Suppose 18 = 3*x - l. Calculate the remainder when 61 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 13\/1240 and 73\/5208.\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 3032016717, 3032016721, 3032016727, 3032016735?\nAnswer: 3032016745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let g(d) = -4*d**2 - 1092*d + 64597. Give g(50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 5\/((-140)\/(-24)) - (-342)\/(-399).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is -2222102022101 - -2?\nAnswer: -2222102022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 417643?\nAnswer: 417643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Solve -b + 5*s + 15 = 0, 348 = b - 8*s + 324 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*a = 6*a - 22. Calculate the remainder when 42 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -6155395 divided by -29.\nAnswer: 212255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 483 - 418. Let a = -29 - -42. Calculate the highest common divisor of s and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 864502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let h(j) = 4*j**3 + 66*j - 183. Calculate h(6).\nAnswer: 1077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (d**(-2\/29)\/d)**(-37)\/(d\/(d**(1\/15)\/d))**12 assuming d is positive.\nAnswer: d**(2371\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Sort 859757\/64, -0.3, 1 in descending order.\nAnswer: 859757\/64, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:56 AM and 12:30 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 93964*z**2 - 2*z - 691*z**3 - 4*z - 93907*z**2 wrt z?\nAnswer: -4146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*d - 25 = 0, -4*d + 16 = -0*y - 4*y. Let b = -4 + y. Suppose 2*w - w + 3*q + 13 = 0, -5*q = -4*w + 33. Put b, 1, w in increasing order.\nAnswer: b, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -2.1469 + 2.1. Round v to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 6c912e - -11?\nAnswer: 6c913f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is 10 - 1020?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*u - 24 = -b + 4*b, 0 = 2*b - 3*u + 15. Let t be 58\/5 - 2\/(-5). Let q = t + b. Solve -q*g - 5*k = -31, 6 = -2*g + 3*k - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (-24)\/(-10)*600\/36. Let s = -35 + k. Solve 2*m - s*i - 23 + 5 = 0, 0 = -4*i - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 17, 58, 7, -20, 2, -4 in ascending order.\nAnswer: -20, -4, 2, 7, 17, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: -5 - (4 + 332\/(-36))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 364675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let r(t) = 20*t**5 + 2*t**3 + 79*t**2 - t - 4. Let c(p) = -p**5 + p**2 - 1. Let j(d) = -4*c(d) + r(d). What is the third derivative of j(k) wrt k?\nAnswer: 1440*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3*l + 6*l + l)*(-l - 3*l + 0*l) + (l + l - 4*l)*(2*l - 3*l - 4*l) + l - 2*l**2 - l.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:32 PM and 5:07 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let t(c) = 7*c + 2. Let d(p) be the second derivative of p**4\/4 + 14*p + 7. What is d(t(q))?\nAnswer: 147*q**2 + 84*q + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (-5 - -6)\/(1\/15). Suppose m + 2*j + 0*j = i, -3*m = -j - 66. Calculate the remainder when 81 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*v - 5*r - 0*r + 32, -r = -5*v + 53. Let w = v - -15. Suppose -g - 25 = -2*u, -5*g = -2*u + u + w. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 21045001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -8*j**4 + 4370*j**3 + 98721 with respect to j.\nAnswer: -32*j**3 + 13110*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 30 + -37. Which is smaller: -8 or a?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from iiiqqesegesiqisuiqu. What is prob of sequence eu?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((165\/(-20))\/11)\/((-6)\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l(g) = -2*g**3 + 3*g**2 - 516. Let t(y) = -3*y**3 + 5*y**2 - 980. Determine 5*l(v) - 3*t(v).\nAnswer: -v**3 + 360","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let q be ((-3)\/1)\/18*(-4 + 2). Let t(f) be the first derivative of -2*f + q*f**3 - 1 + 0*f**2. What is the derivative of t(i) wrt i?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*h = -2*m + 109 + 123, -3*m = 2*h - 363. Suppose -219 = -40*t + 158 - 97. What is the highest common factor of t and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(b) = -b**2 + 13*b - 33. Give n(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Factor -m**2\/2 + 519*m\/2 - 1030.\nAnswer: -(m - 515)*(m - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Expand -3*u**2 - 2*u**4 + 3*u**2 + (2*u + u + u)*(801 + 64*u**3 - 801).\nAnswer: 254*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 0.042 + 0.708. Let p = l - -0.25. Let i be 1 + 1 - (-1 - -7). Is i >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many hours are there in 7973402.4 microseconds?\nAnswer: 0.002214834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is 33 + -521?\nAnswer: -4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the eighth root of 4772264086 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-120)\/(-55)*175\/2800.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -32*n**4*v**2 + n*v**2 + 159*n wrt n?\nAnswer: -384*n**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is 1390840167 to the power of 1\/2, to the nearest integer?\nAnswer: 37294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*k + 4 = -5. Suppose 3*i - 1 = d, -5*i - 6*d = -2*d - 30. Let p be i\/k + (-10)\/6. Which is smaller: p or -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -11 - 10001111001?\nAnswer: -10001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 9\/(-3)*2655\/1593?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let g(r) = -9*r**3 + 5*r**2 - 3*r - 8. Let l(j) = -j + 8 - 10703*j**2 + 10700*j**2 + 6*j**3 + 3*j - 2 - 1. Determine -5*g(i) - 8*l(i).\nAnswer: -3*i**3 - i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of 9690153, 19380303, 29070453?\n\"Answer: 9690150*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -87 + -31 - -207 - 239?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 71358 + -71357.680545. Let n = 0.316 - l. Round n to 4 decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(l) = l**2 - l - 1. Let z(m) = 3*m. Let f be z(3). Let v = 15 - f. Let r(x) = -3*x**2 + x**2 + v*x + 6 - 2*x**2. What is 6*h(j) + r(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 7*-1 - (-324)\/27. Let k(w) = -5*w + 89. Let s be k(u). What is the greatest common divisor of s and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(17) + sqrt(119)\/sqrt(7)*-1 + -3)*2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is 212 a factor of 7446484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let y(h) = -2192*h**2 - 5*h - 7. Let j(i) = 1096*i**2 + 2*i + 3. Let l(s) = 5*j(s) + 2*y(s). Let m = -16 - -17. Is l(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: 5.43 times 5\nAnswer: 27.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 0.3016543 + -0.29979. Let j = h + -0.00223. Round j to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 8\/(-10)*(10 + (-125)\/10). Let u(i) = 2709*i - 17. Is u(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4 = 2*c + 3*g, 3*c - 3 - 3 = -3*g. Suppose 3*k = 4*l - 1178, -c*l - 3*k = -6*k - 592. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.1751 take away 14?\nAnswer: -13.8249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*j - 123 - 447 = 0. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -115 - -133. Suppose -31*s + 4615 = -u*s. List the prime factors of s.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (170\/70 - 0) + -1*(-24)\/(-56).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let c be 4\/20*(-110)\/(-6). Let u = c - 10\/3. Does 1 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1073582?\nAnswer: 2, 536791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is -157 minus -14?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 0.003 + -0.003. Let x = 0.5 + -1. Which is the second smallest value? (a) -7 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(b) = b**3 + 4*b**2 - 5*b - 2. Let m be t(-5). Let j(n) = -n**2 - n + 1. Let x be j(m). Let y = -130 - -386\/3. Is y greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 490*l + 613*l**3 - 490*l + 29.\nAnswer: 613*l**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} -{"text":"Question: Let t be (-16)\/(-12)*(-33)\/(-2). Suppose -3 = -3*f, -5*f - t = -4*o - 3*f. Let m = -11 + 16. What is the remainder when o is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 12132421*k**3*t**3 + 5829*k**3*t + 2*k*t**3 - 6*k*t**2 + 36*t wrt t.\nAnswer: 72794526*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 0 + -21. Let c be (-6)\/a + (-38)\/(-14). Find the third derivative of -89*g + 10*g**2 + 8*g**c + 89*g wrt g.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence kfhs when four letters picked without replacement from {h: 1, f: 3, s: 2, o: 5, k: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -705 or 41227?\nAnswer: 41227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -22816 - -22816.0026258. What is b rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is (-5 - -9)*(-1310)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 2\/3? (a) 0.2 (b) 294 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Work out 3511307 - -146.\nAnswer: 3511453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*a = -7*a + 228. Let c = a + -400\/7. What is the biggest value in -0.1, -3, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-256)\/56)\/4*((-240)\/60 - 86\/(-18))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} -{"text":"Question: Is 15578 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let z(l) = -3*l - 6. Let g be z(-4). Let i = g - 0. Suppose -i*p + 40 = -5*p. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 0 - 5. Let h = j + 3. Let f(u) = 4*u. Determine f(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the tth term of 101646, 200363, 299080?\n\"Answer: 98717*t + 2929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 3649 and 10413?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 152 - 131. Let j = -0.5 - -0.3. Which is the second smallest value? (a) -2 (b) j (c) 3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -1329 divided by -454?\nAnswer: 1329\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let r(g) be the second derivative of 8*g + 0*g**2 + 0 - 1\/6*g**3. Let o(d) = 4*d**2 + 13. Let x(s) = -s**2 - 3. Let b(c) = 6*o(c) + 26*x(c). What is r(b(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let x(q) = q**3 + 4*q**2 - q + 1. Suppose 4*d = -3*a - 14 + 6, -3*d - 4*a = 6. What are the prime factors of x(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 22, 28, 34, 40, 46, 52?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: 4 - (24 - (13 - (6 - 10 - -9)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 13607\/10 + -1361. What is the common denominator of k and 7\/135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is 211000 + -10?\nAnswer: 210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve -273*j + 42*j + 7007 = -13*j - 5201 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 300225537?\nAnswer: 3, 33358393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let k(n) = -4*n**3 - 27*n**2 + 6*n + 45. Does 6 divide k(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is -187 - -10?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 190, 194, 204, 220, 242?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (3156\/263)\/(((-15)\/(-4))\/(-5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from errrvrcrvwrrnrnn. Give prob of picking 1 w and 2 n.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Put 4, -0.5, 0.4, 3, 20.5 in descending order.\nAnswer: 20.5, 4, 3, 0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1\/5, -18, 0, -3\/8, 3, 5102 in increasing order.\nAnswer: -18, -3\/8, -1\/5, 0, 3, 5102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 9 = -6*w + 9*w + t, 5*w - 2*t = 26. Suppose -w*z + 3*h - 1725 = 0, z + 307 = -2*h - 127. What is z rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 55 = -12*j + 31 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(686) - 2*sqrt(686)*6 - sqrt(686))\/(sqrt(567) - ((sqrt(567) + 2*sqrt(567))*2 - sqrt(567))).\nAnswer: 7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: -18009972 divided by 111\nAnswer: -162252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -267 + 427. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*m = -11*m + 23749. Let c be (1795 + 5)*(-3 - m\/(-3)). Round c to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {q: 1, e: 1, p: 2, o: 2}. What is prob of picking 2 p, 1 o, and 1 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*a - 11 + 3 = 0. Let o be 34\/((-2)\/(-24)*a). Let s = o - 23. List the prime factors of s.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -164369*i**5 + 221844*i?\nAnswer: -3287380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in 4, 0.3, -15, 0, -53, -6\/11?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -13*j**3 + 811*j + 815*j - 1626*j.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -0.1 + 0. Let d be (-10268)\/(-5285) - (2 + 0). Which is the smallest value? (a) o (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 200 - 134. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -1\/4? (a) -4 (b) -0.9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.26991357849 to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence hhmf when four letters picked without replacement from {m: 5, f: 2, h: 2}.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -9 + 12. Suppose -2 - 13 = -m*h. Let j(b) = -5 + 2*b + h + 0. Let r(a) = -2*a**2. Determine j(r(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 3 + (-9)\/12 + 165\/(-84).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(i) = -240*i - 247. Give z(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3\/5*m**5 + 0*m**2 - 6\/5*m**4 + 0 + 0*m - 3\/5*m**3.\nAnswer: -3*m**3*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: -1 (base 8) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*s = 5*u + 61, 1589*u = 1587*u - 6*s + 9*s - 37 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Is 48025 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 591 - 308. Suppose k = 11*c + 184. Solve -7*m + 3*m + g + c = 0, -5*m + g + 11 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 186 = 7*l - 325. Let c = l + -61. Let k = -20 + c. Put -1, 5, k, 4 in increasing order.\nAnswer: k, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*o**2\/11 - 4908*o - 33121638.\nAnswer: -2*(o + 13497)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -2 + 3. Let y = -10 + 11. Suppose y - 1 = 4*x. What is the second smallest value in 3\/5, u, x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of -310, -121, 68, 257, 446, 635?\n\"Answer: 189*u - 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 12902150 at most as big as 12902150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 135232.\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let r(b) = -5*b**3 - 80*b**2 + 31*b + 419. Give r(-16).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -w*z**4 + 2*w*z**2 - 2*w*z + w + 899*z**4 - 2*z - 6639 wrt z?\nAnswer: -12*w*z**2 + 4*w + 10788*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Convert 307.65 micrograms to grams.\nAnswer: 0.00030765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: 1650 + -268368109032\nAnswer: -268368107382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Convert 0.4150291g to tonnes.\nAnswer: 0.0000004150291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: 611.39*-5\nAnswer: -3056.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 45*a - 43*a - 4*c = 4, 4*c + 2 = a. Let y(n) be the third derivative of -1\/12*n**5 + 0 + 0*n + 25\/24*n**4 + 18*n**a - 5*n**3. Factor y(x).\nAnswer: -5*(x - 3)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 2*b*j*q**2 - 3*b*j - b*q**2 + 4*b - 1887*j*q**3 + 10*j - 24 wrt q.\nAnswer: 4*b*j*q - 2*b*q - 5661*j*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0.1 in -1097.9, -5, -0.55, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 63\/(-14)*(-44)\/(-33). Which is the closest to g? (a) -2 (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 w, 1 l, and 1 p when three letters picked without replacement from {l: 1, s: 2, p: 2, c: 1, w: 7, k: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let r(w) be the third derivative of 0*w + 6*w**2 + 0*w**3 - 1\/540*w**5 - 5\/216*w**4 + 0. Factor r(o).\nAnswer: -o*(o + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(f) = -35*f**3 + 13*f**2 + 4*f + 4. Let q(c) = -18*c**3 + 7*c**2 + 2*c + 2. Determine 11*q(s) - 6*x(s).\nAnswer: 12*s**3 - s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let i(s) = 7*s**2 - 48*s + 164. Calculate i(5).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 69*o + 66 = 75*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 3.89525 millilitres in litres?\nAnswer: 0.00389525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.043511045 rounded to 3 decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 1120 and 104080?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3*s**5 - s**5 + 0*s**5)*(1 + 2 - 1)*(0 + 3 - 5)*(-143 + 462 + 19)*(-2 + 0 + 4).\nAnswer: 10816*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is -522 + 3?\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let w(h) = 3*h**3 - h**2 + 2*h - 2. Let a be w(1). Suppose -a*j = -3*l - 10, -2*j + 4*l + 14 = j. Does 4 divide j\/7 + (-442)\/(-119)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -41 - -48. Calculate the remainder when 18 - 1\/(-2)*2 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -23.96455 - -24. Let x = 0.488 + -0.523. Let z = q + x. What is z rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 522\/43 = 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose l = -w - 0*l + 14, 0 = -3*w + l + 30. Calculate the greatest common factor of w and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence kq when two letters picked without replacement from rrtqrltbqktrr?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let q(y) = 4*y + 14. Let c be (14\/(-70))\/(1\/(-410)). Suppose -65*o = -c*o - 102. What is q(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 19*t - 11*t - 32. Solve n = -t*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-838)\/(-3771))\/(4\/(-594))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round -25070 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let d(u) = -2*u. Let y(b) = -b**2 + 75. Give y(d(v)).\nAnswer: -4*v**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let x(w) be the first derivative of -w**4\/4 + w**3 + 3*w**2\/2 - 2*w - 3. Give x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*f**4 - 2908058*f**3 + 10662835*f**2 + 3877396*f = 0. What is f?\nAnswer: -1\/3, 0, 4, 969349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Convert -67177 (base 8) to base 4.\nAnswer: -12321333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(200) + sqrt(200) + sqrt(200) + (sqrt(200) - sqrt(200)*-2)*-3)**2.\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let d(c) = 2*c - 3. Let r be d(3). Suppose 2*x = -2*s + 16, -4*x + 5*x + 4*s - 11 = 0. Suppose -x = 5*j + r*m, 3*m + 8 = -j - 3. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 1 - 92 - (2510 - 2558)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -7\/33588 and 40\/171.\nAnswer: 638172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is 11 - -c5?\nAnswer: d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -2 + (5 + (sqrt(847) + -4 - sqrt(847)) - ((sqrt(847) - ((sqrt(847)*3 + sqrt(847) - sqrt(847)) + sqrt(847)) - sqrt(847)) + -5))**2.\nAnswer: 528*sqrt(7) + 13586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -6787*d**5 - 1001*d**3 + 13393157*d**2.\nAnswer: -407220*d**2 - 6006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is 1 + -11001010?\nAnswer: -11001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is -b52 - -377?\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 58\/27 and 82\/99.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*n + 0*b + 12 = -4*b, b = -n - 3. Solve n = -13*m + 18*m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*q**5\/2 + 23109*q**4 + 89050521*q**3 + 355947924*q**2 + 889673427*q\/2 + 177916203 = 0.\nAnswer: -7701, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let p(n) = -64*n**3 + n + 1. Let r be 5 + 5 + (-15)\/5. Suppose l = -6*l - r. Is 32 a factor of p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-94)\/188)\/(2\/32*1) + (-105 - -39).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (394\/48)\/((-310)\/(-105) + -3). Let g = k - -172. Suppose -4*y + 2 = -2. What is the biggest value in y, g, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} -{"text":"Question: Let z be (0\/19)\/(3*5\/(-5)). Which is smaller: z or -3\/4756?\nAnswer: -3\/4756","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 8*h - 8*h + 24*h + (-2 + 1 - 2)*(h - 4*h + 4*h) + 2*h - h - 3*h + 1.\nAnswer: 19*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -18 + 18. Let a = 21 - 14. Suppose v = -a*s + 2*s. Which is smaller: s or 1\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the cth term of -6, -9, -18, -33?\n\"Answer: -3*c**2 + 6*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -30*v + 8*v**3 - 12602083236 + 30*v + 12602083236.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Express 10*k**2 + 6*k**3 - 3 - 8*k**3 - 10*k**2 in the form s + b*k**2 + f*k + z*k**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -4342 or -3?\nAnswer: -4342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 108065391 a multiple of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Round 5306.7948 to the nearest integer.\nAnswer: 5307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -m + d + 70 = m, -4*m + 134 = d. Suppose 29*n - 31*n = -m. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in 61, 20, -7.2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let n(t) = t**3 - 17*t**2 + 19*t - 38. Calculate n(16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let f(y) = -4*y. Let q(h) = 3*h**2 + 6*h - 9. Determine f(q(t)).\nAnswer: -12*t**2 - 24*t + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 1024 + -693. Let r = 730 - g. Suppose -4 + 94 = u + 3*b, 4*u = b + r. Does 33 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 19\/3 + -6. Let v = 15.74 + -14.74. What is the third biggest value in -1, w, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -13112 divided by 4?\nAnswer: -3278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 23004\/77 or 298?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 442147642579 - 442147621942.4299969. Let r = -20636.68 + h. Let o = 0.11 + r. What is o rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((5 + -3 + sqrt(320))**2 + 4*(sqrt(100)\/sqrt(5))**2*4)*5.\nAnswer: 160*sqrt(5) + 3220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*a - 2*v + 6 = 0, 2*a + 25*v = 30*v - 15. Solve 2*b - d - 10 = a, 9*d = 11*d + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 170, 3429, -1.\nAnswer: -1, 170, 3429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -29 + 29. Suppose -5*z - 2*t + 317 = d, 3*t = -0*z - 3*z + 192. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 7.6 - 3.49. Let f = 0.11 - h. Which is the smallest value? (a) f (b) 3 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -3*j**2*u**3 - 11*j**2*u**2 - 39*j**2*u - 79*j**2 + 2*j*u**3 - j*u + 1396*j + 2*u**3 - 91*u**2 + u wrt j?\nAnswer: -6*u**3 - 22*u**2 - 78*u - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is 57.98037g in nanograms?\nAnswer: 57980370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let v(x) be the second derivative of 2*x + 1\/24*x**4 + 0 - 1\/12*x**3 + 0*x**2. What is m in v(m) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(931) - (1 + (sqrt(931) + 3)**2).\nAnswer: -941 - 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -616.2 + 560. Let b = v + 56. Round b to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(x) = -x**3 - 23*x**2 - 89*x - 3157. What is the remainder when j(-26) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*l + 14 = 4. Let p be 2\/5 - (-24)\/(-35). Which is the smallest value? (a) p (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.224921 plus -63?\nAnswer: -62.775079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 191\/11078*2*-2.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 3691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Determine i, given that i**5 + 384*i**4 + 8132*i**3 + 61306*i**2 + 177723*i + 124166 = 0.\nAnswer: -362, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -5021\/4 or -1256?\nAnswer: -5021\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is -20 + -123?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Add -0.2878055562 and 6.\nAnswer: 5.7121944438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -18640, -18650, -18658, -18664, -18668, -18670?\nAnswer: -18670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is k in 2*k**2\/9 + 76*k + 1360\/9 = 0?\nAnswer: -340, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 4*z - 2*t + 8095 - 8029, -4*z - 59 = 5*t for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Is -154 <= -154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 39410 smaller than 39409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Subtract -3.855 from -3004.233.\nAnswer: -3000.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let w(y) = y**2 + 6*y - 10. Let l be w(2). Let s(m) = -8 + 0 - 1 - 17*m + 25*m - m**2. Give s(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 229460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 p, 1 r, and 1 a when three letters picked without replacement from rapppbavp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is -16\/3 at least as big as -10.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -43 - 29?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let s(p) = 7*p**2 - 3*p - 10. Let w(h) = 13*h**2 - 5*h - 19. Give -11*s(g) + 6*w(g).\nAnswer: g**2 + 3*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (l**(-2\/19)*(l*l**3)\/l*l)**44*l**(-6)*l\/(l*l\/(l\/((l**1*l)\/l))*l*l*l)*(l\/(l\/l**(-1\/4)*l))**12 assuming l is positive.\nAnswer: l**(2781\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: 1 + 3 - (-24 - -28)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand 0 - 1 + 1 + 0 - 128*n - n - 4 + 4 + (6 - 5 - 3)*(3*n + n - 5*n).\nAnswer: -127*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -19538*h + 98737*h + 24497*h.\nAnswer: 103696*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let a(j) = j**3 - 186*j**2 + 753*j - 4537. Suppose 201 + 51 = 4*x. Calculate the remainder when x is divided by a(182).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((i*i**(-3\/2)*i*i**(-6))**22)**(5\/7) assuming i is positive.\nAnswer: i**(-605\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of 3608, 7249, 10890, 14531, 18172, 21813?\n\"Answer: 3641*w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 50515285 to the nearest integer?\nAnswer: 7107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -3011213627\/1219938 + -1\/406646. Let u = w - -2490. Let u*y + 845\/6 + 5\/6*y**2 = 0. What is y?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 1, -5, -3, -42, 8, 4 in increasing order.\nAnswer: -42, -5, -3, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Solve 23*b - 14*b - 27 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is 1226 - -5?\nAnswer: 122b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let v(f) = -3 + 2*f + 0*f + 7 + 4. What is v(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 17621 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -18*x + 2*z + 4210 = -14*x, 4*z = -x + 1066. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {t: 7, m: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 13.8 + 80.2. Let k = g + -93.33. Let h = -0.17 + k. Which is the smallest value? (a) h (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4*((0 + 1*sqrt(931) - ((sqrt(931) + 0 - sqrt(931))*-6)**2) + (sqrt(931) + sqrt(931) + -2)**2*-1 + 3) + -4.\nAnswer: -14904 + 252*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 104 - -5?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:43 AM and 1:12 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (4*(sqrt(152)*2 + sqrt(152) + sqrt(152)))\/(sqrt(160)\/sqrt(5)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 31368532?\nAnswer: 2, 13, 719, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from crmac. Give prob of sequence cccm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*k - 24 = 5*a, -2*a - 41*k - 5 = -38*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let u(h) = h - 15 + 15. Let z(o) = 4*o + 9. Let m(i) = 2*i + 3. Let t(l) = -l - 1. Let d(y) = -m(y) - t(y). Let c(v) = 9*d(v) + 2*z(v). What is u(c(w))?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -0.771*0.02.\nAnswer: -0.01542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 396.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 143\/24 and 53\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -137*t**3 + 1 + 406*t**3 - 1 - 97*t**3 + 349*t**3.\nAnswer: 521*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 5623822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (12\/16 + 1\/4)*3. Let c = 2 - 2. Suppose -2*n + o*n = -5*k + 23, k - 2 = c. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*m + 9 + 31. Let y be (8\/(-318))\/(m\/(-15)). Let x = y + 59\/159. What is the second biggest value in x, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {v: 2, c: 2, i: 1, g: 1, y: 2}. What is prob of sequence gy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth root of 373144 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 14 + -14. Suppose j*u - 2*u = -30. 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: Let n(l) = 2*l**2. Let w(j) be the second derivative of 55*j**4 - 886*j. What is w(n(h))?\nAnswer: 2640*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Round 69184.2795 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.0000227 rounded to 6 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 7*o*x**3 - o*x**2 - 821*o*x + 3*x**3 - 1466*x**2 + 68*x + 5 wrt x?\nAnswer: 42*o*x - 2*o + 18*x - 2932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-5 - -7) + -10 + 13 - (-1 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -53 + 53.3. Let z = 130.56 - 130.96. Which is the closest to -20? (a) 1\/2 (b) u (c) z (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 108 - 31 - (-29 - -65)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 91\/7183668 and -26\/12571419?\nAnswer: 50285676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of -7470, -7468, -7466, -7464?\n\"Answer: 2*q - 7472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence gsg when three letters picked without replacement from sgssgg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*f - 2*c = 72, 3*c - 2*c = 0. What is the tens digit of (1 - 6)*f\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve w + 6 = -4*c + 3*w, 0 = -c - 4*w - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -79 - -79. Which is greater: 7\/8 or l?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -2.5198794 - -23.5198884. Let w = 21 - x. Round w to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (1 + -5 + (sqrt(76) + -4*sqrt(76)*1 - ((sqrt(76) - (sqrt(76) - (sqrt(76) + 0))) + 4)) + 2)**2.\nAnswer: 96*sqrt(19) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 120925 and 525.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the sth term of 14, 34, 66, 110, 166, 234?\n\"Answer: 6*s**2 + 2*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence iwkk when four letters picked without replacement from kkwwkikwwwkkk.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -4573, -17135, -38039, -67285, -104873, -150803, -205075?\nAnswer: -267689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in -0.4, -378, -5, 0.3, 53?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*j + 22 = 2*u, -7*u = 3*j - 2*u - 35. Let z = 271 + -181. Calculate the greatest common divisor of j and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 482*m**3*x**2 + 108072*m**3 - 16*m**2*x**2 - 3*x**2 wrt x.\nAnswer: 964*m**3*x - 32*m**2*x - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 314 and 136?\nAnswer: 21352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let w be (-2)\/((-8)\/(-2))*-2. Let y = w - -17. Let r(d) = 179*d**3 + d. Let n be r(1). Calculate the highest common factor of y and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(n) = -7*n - 5. Let w(g) = g - 1. Let f(j) = q(j) + 4*w(j). Let d be f(-4). Solve 3*b - 5 = 5*l, -3 = -d*l - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) -6\/263 (b) 51 (c) -0.63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let k(c) = -9*c + 4. Let o be (0 + 2)*(-7)\/2. Is k(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1\/4 in -0.06, 4\/5, 142\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 525150.\nAnswer: 2, 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Express -90269*x**3 + 90261*x**3 - 3*x**2 - 3*x - 5*x**2 in the form v*x**2 + t + r*x + o*x**3 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 39\/(-33) - (-4)\/22. Let v be (-6*(-4)\/12*-1)\/q. Solve -4 = -v*t + 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -139*v - 225 - 53 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let b(c) = -c - 8. Let y be b(-11). Suppose -3*g - y*x + 92 = g, 0 = 2*g + x - 44. Calculate the remainder when 59 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 3294.6399 take away -0.1?\nAnswer: 3294.7399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 1136*k**2 - 1141*k**2 - 1102*k**2 + 3148*k**2 + 2154*k**3 wrt k.\nAnswer: 12924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(c) be the first derivative of 2*c**3\/15 - 3*c**2\/5 + 10. Factor p(v).\nAnswer: 2*v*(v - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(x) = -26946*x + 26952. Give v(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let d(u) = u**3 - 42*u**2 - 86*u - 90. Give d(44).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-237 + 70 + 49 - 204)*(0*s + 25*s**3 + 3*s - 24*s**3) to the form q*s + d + z*s**2 + w*s**3 and give q.\nAnswer: -966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let b be ((-53)\/2 - 2)*(-1480)\/111. Calculate the highest common divisor of b and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 32 - 31. Suppose -o = 3 + u. Suppose -23*y - 24 = -19*y + 2*x, -5*y = -2*x + 21. Sort -1, y, -8, o.\nAnswer: -8, y, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*k = 2*l - 33, -l - 6 + 0 = -2*k. Suppose p + 345 = 4*j + 334, -j - 11 = -3*p. Solve p + 3 = -l*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 4 - 6*j**2 + 7*j**2 - 3 wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(k) = -421*k. Suppose 1 - 5 = -2*d. Let v(s) = 9 - 1 + d*s**2 - 8. Calculate v(h(a)).\nAnswer: 354482*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Is 2 less than 42\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 2351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 5\/((5\/(-10))\/((-1)\/2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 428*g + 117*g - 40875. Solve 17*k + g = 211 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (y**0)**(-24)\/(y**(-1)\/y**(2\/9)) assuming y is positive.\nAnswer: y**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -6135, -12259, -18383, -24507, -30631, -36755?\nAnswer: -42879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Factor -j**4\/6 - 61589*j**3\/6 - 1661445*j**2\/2 - 44845893*j\/2 - 201776994.\nAnswer: -(j + 27)**3*(j + 61508)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 5832 is divided by 1441?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is -125785.8 rounded to the nearest 1000?\nAnswer: -126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 0.041 - -0.459. Let h be ((-42)\/(-2))\/((-33)\/(-225)). Let m = 143 - h. What is the third biggest value in m, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) 82.2 (b) -2\/7 (c) 2 (d) 0.09 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 1426566 (base 7) in base 11?\nAnswer: 121303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 0.34 + -37.34. Let z = 59 + s. Let k = z - 21.999908. What is k rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 1 - -2. Suppose -4*j = 5*w - 16, 5*w = d*j + 4*w + 7. Let g = 3 + j. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(p) be the first derivative of -5*p**2\/2 - 11*p + 20. Let s be f(-2). Does 19 divide 3\/(-3)*s\/(-1)*-95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(z) = 2*z**3 + 11*z**2 + 12*z + 2. Determine f(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -1 + (1 + sqrt(832) - sqrt(832))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let h(w) = -3*w - 35. Let m be h(-13). Solve -m*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 5, -2, 929339, -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(272) + 3 + -2 + sqrt(17) + 0 + -3 + -5 + 4 + (sqrt(17) + sqrt(17)*-1*6)*6.\nAnswer: -25*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let b(y) = y**3 - 11*y**2 + 11*y + 12. Suppose 0 = -3*w + 3*d + 36, 0 = -2*w + 3*d - 8*d + 38. Suppose -177 = -w*n - 37. Determine b(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f be 3 + 6\/(-3) + -4. Let k be (-4 + 0)*f\/6. Is -3 - (616\/(-4) + k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-3)\/(-1) - (-19)\/(-4978)*794. What is the third smallest value in -5\/2, o, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) -5\/3 (b) 5\/2 (c) 1794\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-43)\/55 + 196\/1078.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3*o + 4*o - 7*o)*(1 - 2 - 6 + 0 - 2 + 1 - 1 + 2 - 3 + (-5 + 2 + 4)*(-1 + 5 - 2) + 0 + 0 - 1 + 0 - 1 + 0 + (-3 + 3 - 6)*(2 - 3 + 3) + 4 - 3 - 4).\nAnswer: 150*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 4 - 4.5. Sort t, -2, 5 in decreasing order.\nAnswer: 5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of 300274, 300280, 300286, 300292?\n\"Answer: 6*r + 300268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 1317603*u**5 - 2072944*u?\nAnswer: 26352060*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 4830190676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let t(l) be the third derivative of 0 + 1\/270*l**5 + 1\/945*l**7 + 0*l + 3*l**2 - 2\/27*l**3 + 1\/36*l**4 - 1\/180*l**6. Find d, given that t(d) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((-1*sqrt(540))\/sqrt(9) + sqrt(60)*2*5)\/(sqrt(192)\/sqrt(4) - sqrt(108)\/sqrt(36)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is 2100 (base 4) in base 2?\nAnswer: 10010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let a be (-2)\/4*-4 - 2. Let b(y) = y**2 + y + 8. Let g be b(a). Solve -s - t - g = 0, 3*t = -4*s + 2*t - 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let 2*t**5\/11 + 356*t**4\/11 + 10826*t**3\/11 + 10896*t**2 + 41184*t = 0. Calculate t.\nAnswer: -143, -12, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let x(b) be the second derivative of -b**6\/40 - b**3\/2 + b**2\/2 - 3*b. Let n(a) be the first derivative of x(a). What is the first derivative of n(t) wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 69.01243 litres in millilitres?\nAnswer: 69012.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let q(k) be the first derivative of -75*k**4\/8 - 45*k**3\/2 - 18*k**2 - 6*k + 3076. Factor q(h).\nAnswer: -3*(h + 1)*(5*h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 4\/(-20)*0*12\/192?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 0.9? (a) -3 (b) 2\/27 (c) 51 (d) 5 (e) 0.25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let l(z) = 2*z. Let t(p) = p**2 + 7*p + 3. Let k be t(-7). Let x(d) = -d + 14. Let a be x(11). Let c(f) = a*f + 0*f - k*f + 2*f. Calculate l(c(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -4588 + 4631.21. Let j = 0.79 + i. Let q = -33 + j. Which is the biggest value? (a) q (b) 2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -319831227 + -3\nAnswer: -319831230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Convert -24715465 (base 8) to base 11.\nAnswer: -3102690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: -19 (base 11) to base 8\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is -2116 - 3?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let i(q) = q**3 + 10*q**2 - 17*q - 16. Give i(-6).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) -0.06 (b) -1\/6 (c) -64 (d) 0.6 (e) 5 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let b(n) = 6*n + 63. What is the remainder when b(11) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 82 = -50*c + 52*c. Find the second derivative of 162*u**3 - c*u + 64*u + 21*u wrt u.\nAnswer: 972*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -296, -1206, -2724, -4850?\nAnswer: -7584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2012934?\nAnswer: 2, 3, 7, 11, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 3428698929?\nAnswer: 3, 1142899643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 9 = 2*a + 1. Suppose a*b + 209 = -2*g - g, 2*g = -2*b - 104. Let c = 130 + b. Round c to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 76 is divided by 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 7 + (-2 - 6) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 762d (base 15) in base 13?\nAnswer: b506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Does 21 divide 110502441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let q(f) be the third derivative of -f**5\/6 + f**4\/24 + f**3\/6 + 2*f**2. Let i be q(-1). Is i\/2*(-28)\/10 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(a) be the third derivative of -a**6\/120 + a**5\/10 + a**4\/6 - a**3\/2 - 13*a**2 + 3. Determine b(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -384497640 by -4.\nAnswer: 96124410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let m(a) = 7*a**2 + 2*a - 11. Let g be m(2). Let b be ((-18)\/g)\/3 - (-4)\/14. Solve b = y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(m) = -m**3 + 21151*m - 3 - 21151*m. Give y(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-128*a + 203*a + 132*a)*(3*a - 2 + 2)*(-6 + 4 - 2 + 3*a).\nAnswer: 1863*a**3 - 2484*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (58 + -55)\/(-1 - (-14)\/8). Let h = -11 + 20. Let u(s) = s - 7. Let y be u(h). Calculate the greatest common factor of r and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:41 AM and 12:33 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Express (2 + 3 - 1)*((1 - 3*k + 4*k - 2*k)*(-4 - 2 - 4) - 402*k + 204*k + 50*k) as a*k + r and give a.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1343?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (u**(-3\/7)*u**8)**(-1\/4)\/(u*u**(1\/7)*u*u**(-5)*(u\/u**(6\/5)*u)\/u**(-1\/6)) assuming u is positive.\nAnswer: u**(-1\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve -8*v = 38 - 30 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 49 + -32. Suppose 2*a - 16 = -4*u, 3*u + 14 = a + 4*a. Suppose 13*i - 22 = u*i. Solve -10 = i*s - 2*d, 0 = 5*s - d - 0*d + f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 2 - 2 + 2*q**4 + (3*q**2 - q**2 + 0*q**2)*(2*q**2 - 3*q**2 - q**2) + (-3*q + 3*q - 2*q**4)*((2 + 0 - 1)*(-4 + 3 + 2) - 4 + 1 + 2 + 0 - 3 - 2).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let d(z) = 5*z**2 - 173*z + 104. Let i be d(34). Solve -x - 1 = 6*a - 7*a, -4*x - 4 = -i*a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 0 - -0.1. Let u = -5511.6 - -5511.49. What is the nearest to x in u, -2\/5, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(z) = -z - 2. Let t be n(-9). Let l(v) = v**2 - 5*v - 6. Determine l(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 1319*f**2 - 1278*f + 1 wrt f.\nAnswer: 2638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 8*u + 5*u = -65 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Is 273237247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -3 - 26*t + 3 - 1418*t**2 + 1420*t**2 - 29*t**3 + 2.\nAnswer: -29*t**3 + 2*t**2 - 26*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 45 + -41. Suppose -2*a = j - n*j - 5, -3*a - j - 20 = 0. Is ((-4)\/(-8))\/((10\/(-2348))\/a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} -{"text":"Question: What is 549 minutes after 3:07 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let r(n) = 74*n**2 - 23*n + 80. Does 50 divide r(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 0.2*-570.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -1865, -2007, -2141, -2267, -2385, -2495?\nAnswer: -2597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 1431413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -c + 8121 + 9670 = 0. List the prime factors of c.\nAnswer: 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8*k - 560 = -168. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -1847, -3651, -5455?\nAnswer: -7259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Put -22, 4, -38, 2, 83 in increasing order.\nAnswer: -38, -22, 2, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 69*x = 65*x. Suppose -4*a = g - 3*g + 766, x = -5*g + 5. Let p = a + 356. List the prime factors of p.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0? (a) 1 (b) 394 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1927?\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (j**(-3\/2)\/(j\/(j\/(j*j**(-2\/3))))*(j**0)**(-31\/3))\/((j**(-1\/3)\/j*j**(-1\/6))\/(j**(-1))**16) assuming j is positive.\nAnswer: j**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 1.84 - -268.16. Let l = -393 + v. Let h = -123.71 - l. What is h rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 13243*w + 11 - 13246*w - 11.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -4*a + 2*i + 36, 3*i = 2*a - 2*i - 18. Let b = a - 5. Find the second derivative of 7*r - 10*r + r**b + r**4 wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 19 - 211 = 28*w + 172 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the millions digit of 83594845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*t - 113 = z - 6*z, -t = -z + 41. Let j = t - -79. What is the remainder when j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 8 + (-3)\/(90\/228).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Is 151056 != -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (3\/6)\/((-1)\/(-110)). Let g be (-14)\/(-4)*10*8. Suppose s - 6*t + 4*t = 56, 5*s - 4*t = g. Does s = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 142 - 171. Let t = 29.5 + i. Put -13, t, -3 in ascending order.\nAnswer: -13, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 520 minutes before 2:04 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*p + 2*q = -17 + 57, 2*q = -p + 16. Let y(t) = -3*t**2 + 580*t - 1148. Let b be y(2). Solve b = -0*r + 2*r - p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(y) = -10100*y - 361. What are the prime factors of d(-1)?\nAnswer: 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(y) = -3*y + 27. What are the prime factors of m(-14)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {v: 1, x: 1, d: 4, e: 2, m: 1}. Give prob of picking 2 d and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -v - 63 = -3*b, 0 = 2*v - 0*v - b + 131. What is the common denominator of -1*6\/15 + -11 and 12\/v + 482\/110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -22 + 26 - 4 - 576*i to the form v + r*i and give r.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 12 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 315945 and 161840.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is -26 divided by -442?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let a(d) = d + 774. Let k(t) = -6*t**2 - t. Calculate k(a(u)).\nAnswer: -6*u**2 - 9289*u - 3595230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 2106\/(30 - -9) - 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(q) = -4*q**2. Let u(r) = -11*r**2. Determine u(k(v)).\nAnswer: -176*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is (-1)\/2*7*(-136)\/(-238)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 10:51 PM and 6:17 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -38 - -38. Suppose 0*a + 3*a + 84 = q. Let y = a - -34. Solve -b + y = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3 = -2*q + 7. Let j(u) = 43*u + 2. Is j(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (c\/(c**(-42)*c))\/c**32 assuming c is positive.\nAnswer: c**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 3 - 4. Let h = -4 - b. What is the nearest to 0.1 in h, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 203853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 3509 and 6148?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*d + 0 + 0)*(-d**3 - 4*d**3 - 2*d**3) - 2*d**4 + 0*d**4 + 4*d**4 + (2*d - 2*d + 2*d**2)*(250*d - 272*d - 329*d)*(1 + d - 1).\nAnswer: -686*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between 0.2 and -147749?\nAnswer: 147749.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7*y + 30 = -y. Suppose -y*i + 2*i = -12. Suppose -1\/2*t**2 - 3\/2*t**i - 1\/2*t**5 - 3\/2*t**3 + 0 + 0*t = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 92, 3, 0, -72?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*m - 10 = 9*m. Let i = 2 + m. Solve 5*x + 0*x - 20 = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -704650 by -70465.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: 221255 (base 9) to base 14\nAnswer: 36241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 557 minutes before 4:11 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -2*r + 3*j + 47 - 44, -4*j + 3 = -5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (2*sqrt(17)*5 + (sqrt(17) - 2*(sqrt(17) - (sqrt(17)*4 - sqrt(17)))) - (-6*sqrt(1088) + sqrt(1700) + 1))**2.\nAnswer: -106*sqrt(17) + 47754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 27 - 28. Let l = 8 + -5. Suppose -l*q = q - 8. Put f, q, 5 in increasing order.\nAnswer: f, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0*q + 0*q = -7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 35 and 44940?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let h(m) = -m**3 + 5*m**2 + 6*m - 8. Suppose -4*o = -4*b - 76, 4*o + 0*b = -b + 101. Suppose 6*a - a + 10 = 5*x, 0 = 2*x + 3*a - o. What is h(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((r**(3\/13))**(2\/35))**(3\/23))**(-6\/13) assuming r is positive.\nAnswer: r**(-108\/136045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:15 PM and 6:18 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in w**3 + w + 4*w**3 + 7*w.\nAnswer: 5*w**3 + 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let i(p) be the third derivative of -p**5\/120 - p**3\/6 - 4*p**2. Let s(j) be the first derivative of i(j). Calculate s(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -m = 2*m + 6, -4*m + 46 = 2*c. Suppose 0 = -s + 29 - c. Let g = -46 - -50. Solve -2*f = -s - g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -33*g - 17 + 215. Suppose 0 = -2*v - g*s + 5*s + 201, -25 = -5*s. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 39 + -39. Suppose t - 11 + 4 = w. Let h(x) = 32*x + 61. Is h(t) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 652 minutes before 9:28 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -1\/7? (a) -200 (b) -0.204 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 52\/5 of a hour in minutes?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -59*c + 51 = -42*c. Let i(l) be the first derivative of 8\/5*l + 4\/15*l**c + 7\/5*l**2 - 1\/10*l**4 - 15. Factor i(b).\nAnswer: -2*(b - 4)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 144354209323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -51 + 56. Suppose 4*k = -2*x + 8, 21 - 5 = 4*x - n*k. Solve 3*r + 2 = -x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -6*g + 11 + 19 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((y\/(y**(-1\/2)*y))\/y)**(-2\/43))**39\/(((y*y*y*y**(1\/2)*y)\/y)**(1\/3)*(y*y*(y**2\/y)\/y)**(-38)) assuming y is positive.\nAnswer: y**(19541\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: 2327 divided by -15136\nAnswer: -2327\/15136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*l = -15, 0 = -4*k - 25*l + 23*l + 174. What is the remainder when 157 is divided by k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -2 + (1 + -3 + sqrt(567) + 1 - (-1 + sqrt(567) + 3 - sqrt(567)*1*3))**2.\nAnswer: -162*sqrt(7) + 5110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let s(t) = -285*t + 3840. Calculate the remainder when 4589 is divided by s(13).\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(a) = -a**2 + 132*a + 4479. What is f(-28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 0.1 - 0.03. Let u = 36792 - 36777. Put -3, u, j in decreasing order.\nAnswer: u, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (t*t*t**(-12)*t*t*t*t)\/t**8*t**(32\/3)*t\/(t\/(t**(-25)\/t*t*t)) assuming t is positive.\nAnswer: t**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 5364238 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -47\/1088901 and 49\/3024725?\nAnswer: 27222525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Expand 190 + w - 190 + 2*w**2 + (21*w + 5*w - 8*w)*(-3 + 35*w - 25*w + 5).\nAnswer: 182*w**2 + 37*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-35)\/(-126)*12\/15. Which is the fourth smallest value? (a) 0.3 (b) 26 (c) o (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(x) = 64*x - 1. Let b(o) = -65*o + 2. What is -3*b(f) - 4*j(f)?\nAnswer: -61*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 22*g - 7414 = -7370. Let c = 613\/5 - 122. Factor -c*l**g - 3\/5 + 6\/5*l.\nAnswer: -3*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in -2\/11, -5, 2\/19, 3\/4, -3\/7, 9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Sort 32, 1\/2, 4, -30, 1\/4, 2.56 in increasing order.\nAnswer: -30, 1\/4, 1\/2, 2.56, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {s: 10}. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: 45 (base 14) to base 16\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = a - 3. Let t = a - 0. Solve t*q + 0*q = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose p - 2 + 0 = 0, -5*p = 3*x - 34. What is the remainder when (5 - (x + 5)) + 118 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 2\/2699 - -391343\/16194. Find the common denominator of 151\/18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(l) = 242*l**2 - 5. Let d be f(-4). Let w = d - 61853\/16. What is the common denominator of 0\/1 - (-14)\/(-40) and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -1057.1 - -1057. Let q = 1.1 - 0.1. Let h = 0.7 - q. What is the third biggest value in f, h, 1\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 51800507 or 51800511?\nAnswer: 51800511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -0.030158 and 2?\nAnswer: -0.060316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 440 - 449. Is (-3)\/(18\/(-7544)) - (-3)\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 14? (a) -16 (b) -10 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the tenth root of 1724 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is 413786 - -150?\nAnswer: 414046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -85\/12 and 43\/526.\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -41*q**2 + 19*q**2 + 14*q**6 + 14*q**2 wrt q?\nAnswer: 1680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of -15298, -33839, -52382, -70927, -89474, -108023?\n\"Answer: -q**2 - 18538*q + 3241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 10 = 3*l - 5, 2*l + 15 = -5*v. Let j = -0.1 - 0. Which is the closest to j? (a) v (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -0.1636 + 273.7836. Let c = x - 276. What is c rounded to 1 dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(c) = 67*c**2 + 24*c + 55. Let m(l) = 22*l**2 + 9*l + 18. Let x(g) = -3*f(g) + 8*m(g). Let k(h) = -2*h**2. Calculate x(k(v)).\nAnswer: -100*v**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -12, -35, -72, -123, -188?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: How many milligrams are there in 149.2421t?\nAnswer: 149242100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Find i, given that -2*i**3\/15 - 86*i**2\/15 - 388*i\/15 - 304\/15 = 0.\nAnswer: -38, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -32*t + 3 = -31*t. Let h = 0 - 0. Suppose h = d - t. Solve -4*w + d = 23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -w - 19 = -4*i, 4*i - 18*w + 19*w = 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 82620\/3213 + 3\/(84\/8).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 2267, 7, -88 in decreasing order.\nAnswer: 2267, 7, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Solve 7*z = -43 - 6 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 299 - 299 - 5*z + 6*z**3 wrt z.\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 90*k - 93*k - 5*o + 16, 3*o - 24 = -3*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -12 - -5. Let p = 0.61 - 7.64. Let m = q - p. What is the smallest value in m, 2\/7, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -46.29 times 0.3\nAnswer: -13.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 10 + -4. Factor 3*w**2 - 6 - j*w**2 - 3*w + 12*w + 0*w**2.\nAnswer: -3*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 315991.1 decades in centuries?\nAnswer: 31599.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.09465 to three decimal places.\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*s + 4*q = 22, 25*s = 22*s - 13*q + 97. Solve s*p - 8 = -4*b, -32*b - 2*p = -34*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -6776\/16915 - -2\/3383. Suppose -5 = -8*q + 3*q - 4*r, -r = 4*q + 7. Which is the nearest to -0.2? (a) 1 (b) -0.3 (c) q (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3*k**4 - 138*k**3 - 1011*k**2 + 16380*k + 54756.\nAnswer: -3*(k - 9)*(k + 3)*(k + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (-54)\/6*(-21)\/7. Solve 0 = -r*c + 21 + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 17 + (-15 - (-11 + 15))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 628 is divided by 608.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from {j: 3, c: 4, x: 6}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let o be ((-10)\/15)\/((-2)\/(-9)). Let x be -2 + (o - -1) + 5. Sort 0, -3, x in decreasing order.\nAnswer: x, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 5 + ((0 + sqrt(19))*-6)**2 + 1.\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Convert 44100422 (base 5) to base 10.\nAnswer: 378237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let m(b) be the second derivative of 35*b**4\/12 - 13*b**3\/6 + 2*b**2 - 3683*b. Let f(a) = 23*a**2 - 9*a + 3. What is 7*f(i) - 5*m(i)?\nAnswer: -14*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*j + 35 = -5*f, 0 = -33*f + 28*f - 15. Sort j, 4, 2, -2, 58 in ascending order.\nAnswer: -2, 2, 4, j, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-36)\/30 + 1)*-2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -156*h + 128*h + 196 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 10 + 0 + (4 - -1 - 29)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -114*124\/(-2945)*20\/(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -3 + 34. Calculate the remainder when u is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: 10011110100011011001 (base 2) to base 10\nAnswer: 649433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 9388058577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let g(i) be the third derivative of 0*i**5 + 0 + 1\/12*i**4 + 0*i**6 + 0*i - 2\/105*i**7 + 0*i**3 + 2*i**2. What is the second derivative of g(u) wrt u?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:16 AM and 9:38 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let j(y) = y + 10. Let r be j(10). Let b = r - 44. Let u = b + 59. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: 26003 divided by -11\nAnswer: -26003\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((u**(-5)*u)\/(u*u**(-3)))**(-19) assuming u is positive.\nAnswer: u**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 83*l**5 + 278*l**2 - 76*l**5 - 90*l**5 wrt l?\nAnswer: -4980*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 31\/812 and 81\/3550?\nAnswer: 1441300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let w be (457 + -4)\/((-78)\/(-4)). Let j be (-2)\/(-44)*9173*(-10)\/(-195). Let h = j - w. Calculate the common denominator of h and 145\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 2*j - 4*j**2 + 17*j**2 + 16603 - 16614 in the form q + s*j**2 + p*j and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -4 + 0 - 3 + 0 + 10*s + 6.\nAnswer: 10*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -205255389 divided by 2.\nAnswer: -205255389\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: -3 - -1 - (-9)\/4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 14*j = 37794 + 23050. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.07949 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {r: 2, a: 8}. What is prob of sequence ar?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -64845*g**2 + 25314*g.\nAnswer: -129690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (-1)\/((-2)\/(-6)*-1). Suppose -f + 5 = 2*g, -k*f - 4*g + 15 = -3*g. Solve 5*b - 30 = -f*s, 27 = s + 3*s + 5*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Subtract -1.3 from -18.\nAnswer: -16.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the sth term of 12, -180, -380, -594, -828, -1088, -1380, -1710?\n\"Answer: -s**3 + 2*s**2 - 191*s + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 8*p**3 - 54 + 54.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let s(c) = c**2 + 7*c + 1. Let f be s(-6). Let v be (-22)\/f + 6\/(-15). Let g be (1 + -1)\/(-3 + v). Do g and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (((-102)\/12 + 9)*-22)\/(-1 - -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(n) = -n**2 + 8*n + 9. Let f be m(-1). Let r(x) be the first derivative of f*x**2 + 7\/3*x**3 + 4 + 0*x. Let v(u) = -u**2. Give v(r(j)).\nAnswer: -49*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let d(x) = -14*x**2 - 3*x - 66. Let l(b) = -5*b**2 - b - 22. Let z(g) = -4*d(g) + 11*l(g). Let m be z(0). Solve 0 = -4*s - j - m, 3*s - s + 16 = -3*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -0.5 + 0.2. Let j be 1\/(-14) + 2838\/924. What is the smallest value in q, j, 2\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -29 - -23. Let s = 23 - l. Calculate the remainder when 85 is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(g) = 7*g + 4. Let p(x) = -11*x - 6. Let a(q) = -5*p(q) - 8*y(q). Let i be a(-15). Differentiate 32*n - 48*n + 3 - i + 1 with respect to n.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from {u: 1, l: 3, p: 2, r: 4, c: 1, w: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is 6701869193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 35983602 to the power of 1\/2, to the nearest integer?\nAnswer: 5999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let v(w) = -2*w**2. Let z be (-30)\/3*(-1)\/(-2). Let q = 7 + z. Let u(r) = 5*r + 2 - q. Determine v(u(x)).\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let b be 4064\/52 + 118\/(-767). Solve 82*i = b*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert -388 (base 11) to base 3.\nAnswer: -122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*k = -m - 7, -2*m - 8 = -4*k + 7*k. Let h be ((-2)\/k*8)\/((-30)\/(-585)). Calculate the greatest common divisor of 169 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 5\/(-2)*540\/(-150)*(-7)\/63.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from ejel. What is prob of sequence lee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 4 - 3.945. Let v = a + -0.112. What is v rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {e: 3, a: 2, r: 2, m: 3, q: 1, b: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is 22613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let r(f) = -4*f + 2*f - 6*f. Let a be r(1). Let u be 1 + 199998 - a\/8. Round u to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: 144\/(-18) - 57\/(-7)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(n) = 25*n - 18. Let x(z) = -16 + 7*z + 15*z + 5*z - 2 - z. Let c(p) = p + 1. Let o be c(2). Let b(u) = o*g(u) - 2*x(u). Differentiate b(s) wrt s.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -5*v**2*z**3 + 2*v**2*z + 7*v*z**3 - 24*v*z - 13*z**3 + 334*z**2 wrt z?\nAnswer: -30*v**2 + 42*v - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -1853503, -1853498, -1853493?\nAnswer: -1853488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let w(c) = 6*c**3 - 38*c**2 + 18*c - 35. What is w(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 53 - 48. Suppose -9 - 2 = -y - c*k, -3*k + 143 = 5*y. Calculate the smallest common multiple of y and 6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(w) = -w**2 + w. Let m(k) = 5*k - 26. Let d be m(6). What is c(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -16 + 43. Let l be ((-891)\/(-66))\/(3*(-1)\/(-18)). What is the greatest common divisor of d and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 4*y**3 + 28*y**2 + 48*y.\nAnswer: 4*y*(y + 3)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Find q, given that -q**4\/2 - 941*q**3\/2 + 3315381*q**2\/2 - 1540941651*q\/2 + 768813606 = 0.\nAnswer: -2508, 1, 783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Solve -61*p = -126*p - 650 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 4699*p - 4700*p - 2*h + 6, 0 = -5*p - 3*h + 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -590*j - 66 = -1174*j + 595*j. Let p(m) = -9*m**2 - 8*m + 4. Let o(x) = -10*x**2 - 9*x + 5. Calculate j*o(z) + 7*p(z).\nAnswer: -3*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (-89 + -2)\/1 + (-10)\/10. Let w be x\/230 + -6*11\/10. Let h(m) be the third derivative of m**4\/24 + m**3\/6 + 4*m**2. Give h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -9335 by -6924.\nAnswer: 9335\/6924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: 0.4*16.1141084\nAnswer: 6.44564336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-51 + 8*h**2 + 51)*(-6 + 11 + 2*h - 7).\nAnswer: 16*h**3 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -0.1 in -0.24, 1\/8456, 0.033?\nAnswer: 1\/8456","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 551004874.\nAnswer: 2, 7, 89, 163, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (0*w**2 + 0*w**2 + w**3)*(1 - 3 + 1) + (-w**3 + 0*w**2 + 0*w**2)*(2 - 1 + 0) to the form t + y*w**2 + k*w**3 + r*w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let p(w) = -5. Let v(h) = -h + 16. What is -8*p(b) - 3*v(b)?\nAnswer: 3*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 12:35 AM and 2:54 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is -101010120012 (base 3) in base 9?\nAnswer: -333505","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} -{"text":"Question: Multiply -27061 and -5.8.\nAnswer: 156953.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: 0 divided by 33106\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is 526 minutes before 10:34 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 200077953.\nAnswer: 3, 66692651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 705 minutes after 11:20 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from mmbnbjmkm. Give prob of sequence jn.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let f(w) = -299*w. Let o(j) = -215*j. What is f(o(p))?\nAnswer: 64285*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -4*(sqrt(325)*2 + -2).\nAnswer: -40*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 2 - 3. Let c(d) = 4*d - 2. Let y(n) = 11*n**2 - 48*n + 14. Let p be y(4). Let f(g) = -g**2 + 1. Let j(t) = b*c(t) + p*f(t). Suppose j(o) = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the eighth root of 201792 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is -267903.4223 - -8.3075?\nAnswer: -267895.1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*j - 3 = -j. Let t(x) = x**3 - 5*x**2 + 2*x + 4. Let q be t(4). Sort j, -3, q in decreasing order.\nAnswer: j, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 1414, 2718, 3914, 5002?\nAnswer: 5982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is -10530 (base 7) in base 15?\nAnswer: -bcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let t(i) = -i**2 - 8*i - 4. Let v be t(-7). Let y(a) = 4*a - 3*a**2 - 3 + 4 + 2*a**2. What is the units digit of y(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 1570\/(-14) + (-75)\/(-35) + -2. Calculate the remainder when 18 is divided by (-18)\/4*y\/56.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 0.21 - 139.21. Let l = x + 139.61. What is l rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 126*q = 125*q + 3*n - 13, 3*n = -5*q - 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.000028219753 to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -0.9 - -3.4. Let b = -2 + l. Sort 3\/2, 6, b in decreasing order.\nAnswer: 6, 3\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 951 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -1 + 7 = 3*p. Let m(c) = c + p*c + 3 - 4 + 2*c**2. Is m(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -591*f**2 + 307*f**2 + 271*f**2.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is 12 + 101212021100012122?\nAnswer: 101212021100012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-50)\/35)\/(13\/(-1092)*10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(40)\/sqrt(72) + sqrt(5) - (0 + sqrt(5)*1))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaammaxmx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 5*b**5 + 14396*b**3 - 1071*b**2 - 2*b - 24?\nAnswer: 300*b**2 + 86376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-z - z + 3*z)*(1 + 2*z**2 - 1)*(-19 - 8 + 154) to u*z**3 + k*z + t*z**2 + w and give u.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -309782 or -309780?\nAnswer: -309782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Put -0.5, 13, -1\/5 in decreasing order.\nAnswer: 13, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 128 and 147328.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from hfqhfqhcqfq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -2*c**3 + 20764*c**2 - 20764*c**2.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is -344 + -3251051?\nAnswer: -3251435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2652685*k + 2653632*k - 89018 = 0 for k.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 527 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let y be ((-3)\/(6\/(-446)))\/21. Let f = y - 31\/3. Suppose 0*p = 6*p. Which is smaller: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(j) be the first derivative of -38*j**3\/3 - 9. Let q(o) = 604 + 611 + 4*o + 611 - 1826. Give z(q(s)).\nAnswer: -608*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 5144, 20495, 46078, 81893?\nAnswer: 127940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 22564 and 196012.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let t(s) = -20*s**2 + 4*s + 3. Let o be t(-2). Let h = 225 + o. Calculate the highest common divisor of 28 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 136636 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is (-276)\/46*(-14)\/(252\/(-81))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Sort 29, 327, -9, -4 in increasing order.\nAnswer: -9, -4, 29, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 6330132 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 148 is divided by 40?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 265701309 is divided by 3408.\nAnswer: 3405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-24)\/(-10))\/(9 - 2780\/300)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 16 + -50 + 17 + 31 + 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Determine i so that 5*i**2 - 910*i - 957640 = 0.\nAnswer: -356, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of -6033*(-4)\/((-180)\/(-15)).\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -57*f - 171 = -156*f + 80*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-15)\/7*(-441)\/(-42)*4\/24?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} -{"text":"Question: Is 1238152469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 10 (base 6) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the billions digit of 2409195873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*m - 5*f + f = 1, -10 = -5*f. Suppose 12 = -13*n + n. Is 9 a factor of 16 - (n + m - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(z) = -z**3 + 4*z**2 - z - 4. Let s be p(3). Which is greater: s or 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 2504642434 a multiple of 497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: -1b1 (base 12) to base 10\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the zth term of -71860, -574783, -1939810, -4597993, -8980384?\n\"Answer: -71842*z**3 - 29*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 4339, 3329, 2319, 1309?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.5 take away -39.8293888628?\nAnswer: 40.3293888628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Sort 1, -30932, -5, 3 in decreasing order.\nAnswer: 3, 1, -5, -30932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 1.6 and -17292?\nAnswer: -27667.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Express -4*v**3 - v**3 + 2*v**3 + (29*v + 47*v + 66*v)*(27*v**2 - 35*v**2 + 82*v**2) in the form i*v**3 + l*v + g*v**2 + n and give i.\nAnswer: 10505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let f(a) be the second derivative of a**4\/12 - a. Let u be f(-1). Let w(x) = 0 + 0*x - 7*x - 6*x**2 - u. Let g(p) = -p**2 - p. Determine 5*g(n) - w(n).\nAnswer: n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -1 = -3*t + 5. Suppose -2*j + 62 = 5*w, -3*w = -j - t*j + 135. Suppose -3*c + j = -25. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from vcbvsbccffcfdfc. Give prob of sequence fv.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let s(u) = -72*u - 12. Give s(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 428497447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-29*z - 25*z - 6*z)*(2*z - 2*z + 7*z**2).\nAnswer: -420*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 92 divided by 31.\nAnswer: 92\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: -20955 divided by -204\nAnswer: 6985\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 420*s**4 + s**3 + 12*s**2 + 5*s + 69177 wrt s.\nAnswer: 5040*s**2 + 6*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Is 140938937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (10\/(-25))\/((-2)\/10). Suppose -i = -h*v - 1 + 23, -v = -2*i - 14. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (6*2*sqrt(68) - (-6*1*sqrt(68) + sqrt(68)))\/(sqrt(100)*-6 + sqrt(196) + sqrt(196)*-2).\nAnswer: -17*sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Convert 2.1477399 months to centuries.\nAnswer: 0.00178978325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 226 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*b, 16*o - 45780 = 13*o + 5*b. Suppose -22*z = -29*z + o. Round z to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express o + 4 + o - 2*o**3 - 2 - 2*o**4 as b*o**3 + j + v*o**2 + k*o**4 + u*o and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -20 + 28. Let f(c) be the second derivative of c**4\/12 - c**3 + 2*c**2 + 2*c. Let b be f(t). Solve 5*p - 5*u = -b, -4*p - 5*u + 0*u = -29 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 42 minutes before 11:00 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 3 in 5\/2, -0.2, 0?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Divide -489963894 by -322.\nAnswer: 1521627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -15 + 18. Suppose y*w - 36 = 234. Let q be (3 - 0)\/(w\/(-12)). Sort q, 1, 2\/5 in decreasing order.\nAnswer: 1, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 111719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify j**(-2\/31)\/(j*j*j**(-8)*j) assuming j is positive.\nAnswer: j**(153\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (48 - 52) + (0 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of -42, -50, -70, -108, -170, -262, -390, -560?\n\"Answer: -i**3 - i - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from nvhnttvxvtjnvjjjt.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:43 PM and 6:03 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let a be (-252)\/(-16)*(-32)\/(-6). Suppose -12*j + 14*j - a = 0. What are the prime factors of (j\/(-105))\/(2\/(-430))?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does -932 = 7201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is -148.531627 rounded to 1 dp?\nAnswer: -148.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 7 a factor of 4605608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (j\/j**0)**(-3\/5)\/(j**(-17)\/(j\/(j\/(j*j**(-1\/2))))) assuming j is positive.\nAnswer: j**(169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let l(p) = -16*p. Let c(z) = 46*z**2. Calculate c(l(d)).\nAnswer: 11776*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 131*o + 682*o - o**3 + 424*o + 2*o**3.\nAnswer: o**3 + 1237*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 137*y + 18993025 - 18997957 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((a\/(a\/(a\/(a*(a**(-1\/14)*a)\/a*a))))\/a)\/a)\/a**(-33) assuming a is positive.\nAnswer: a**(421\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from wqlwg. What is prob of sequence gqwl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((u**(-8)*u**(2\/9))**(-20))**(-1\/4))**(-23) assuming u is positive.\nAnswer: u**(8050\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 770, 1527, 2282, 3035?\nAnswer: 3786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 66990 and 1230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of 15, -4, -7, 18, 83, 200?\n\"Answer: 2*x**3 - 4*x**2 - 21*x + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 24 - -4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-328)\/(-780) + 2\/(-5))*(-120)\/(-80).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1 + 6 = k. Let c = 15 - k. Differentiate -c + 1 + 2 - 9*g + 2 with respect to g.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find y, given that 2*y**3\/15 - 2558432*y**2\/15 - 2558446*y\/15 + 5116868\/5 = 0.\nAnswer: -3, 2, 1279217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4*c**4 + 0*c**4 - 2*c**4)*(0 + 3 - 4) - 35*c**4 - 7*c**4 + 3*c**4 + 0*c - 2*c**4 + 0*c - 2*c**4 + c**2 - c**2.\nAnswer: -45*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is 129117.73 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in 97\/4, -1\/5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -12*v - 31 + 10 - 13 + 22*v - 11*v.\nAnswer: -v - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -5*o + 40 + 5*o + 8*o**2 + 0*o wrt o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 1 + (sqrt(76)*-1*-5)\/((sqrt(484)*2 - sqrt(484)) + sqrt(484)).\nAnswer: 5*sqrt(19)\/22 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of 169, 1476, 3655, 6706, 10629, 15424?\n\"Answer: 436*u**2 - u - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let u(j) = -7*j + 17. Determine u(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 11662 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -13615*a**2*l + 159*a*l - 13262*l + 2154 wrt a?\nAnswer: -27230*a*l + 159*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 237 - 387. Let y = c - -172. Calculate the highest common factor of y and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 132\/21 + (-2)\/7. Suppose -s - 3*a + 2 = q, -5*s + 18 = -4*a. Differentiate 4*d - d**s + 1 - 4*d wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 3676.\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of (-4636)\/(-19) - 4\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Add together 335123 and -5.\nAnswer: 335118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let k(j) = j**2 + 26*j + 186. Calculate k(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 3371782837 - 4299.7?\nAnswer: 3371778537.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -15 + 37. Let o(h) = -h - 1. Let c be o(-6). Suppose 0 = -7*d + c*d + 40. Calculate the smallest common multiple of d and q.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -377, -1445, -4355, -10031, -19397, -33377, -52895, -78875?\nAnswer: -112241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b(r) = -r - 3. Let l be b(-6). Suppose -306 = -28*s + 142. Suppose z = 2 - 0, l*z - s = -u. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -15 + 7 - (-33 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (56\/140*(-5)\/6)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 351, 115, -279, -831?\nAnswer: -1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let q(w) = 179*w**2 + 3. Let r(p) = -2*p**2. Determine q(r(k)).\nAnswer: 716*k**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let n(r) = -r - 1. Let z be n(-1). Let l = z + 2. Suppose -3*s + l*g = -395, 680 = 5*s + 2*g - g. Calculate the highest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -7 + 73. Suppose -4*t = -r + 63, -r + 0*t + o = -t. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -11*f + 4*s = -15*f, -5*s = 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -50.3 - -50. What is the biggest value in 5, 0.12, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -1 times 99054\nAnswer: -99054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth biggest value? (a) 178 (b) -5 (c) -5\/11 (d) -0.3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*a - 14 = 3*g, -2*a - 2*g = -20 + 30 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 5566997 to the power of 1\/2, to the nearest integer?\nAnswer: 2359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Round -15166.423287 to the nearest one hundred.\nAnswer: -15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from uukukuauiuuuuauauuu. Give prob of picking 1 a and 1 u.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*g - 5*y = 969, 7*g - 10*g = -4*y - 966. Let a(c) = 84*c**2 + 2*c - 1. What is the remainder when a(1) is divided by g\/11 + 10\/110?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-7)\/1 + (375\/21 - 11).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Does 11 divide 30914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-300)\/225*(54\/(-64))\/(-3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -96 divided by -24\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 0 + -0.1. Let p(m) = -m**2 + 8*m - 1. Let x be p(5). Let h be x\/77 - 104\/330. Which is the closest to j? (a) -0.3 (b) -1\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 7*r - 2*r + 17 = -4*i, 2 = -2*i + 4*r. Let j(y) = -y**3 - y**2 + 5*y + 7. Let n be j(i). Solve -7*u - n = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -121*i + 354 = -115*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is -2011301766 + 1?\nAnswer: -2011301765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let b(p) = p**3 + 11*p**2 + p - 2. Let t be 12*(-3)\/18*3. Let s be b(t). What is the highest common divisor of s and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -401, -402, -403?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let t(y) = 17*y + 1. Let w(a) = a**2 - 9*a + 10. Let z be w(8). Let d be t(z). Suppose 0 = -5*v - 0*v + d. Is v > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find x, given that -2*x**2\/3 - 20*x = 0.\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -13044 = -2*r + 4*k, 0 = -6*r - 3*k - 7792 + 47029. What is the highest common divisor of r and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 43*w + 2*w - 17415. Let a = w + 56. What are the prime factors of a?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*q - 701 = -32. Let g = q - 36. Let l = 295 - g. Round l to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -2465 in -1, -0.2, 3, 0.4, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 191 + -267. Let l = w - -89.9. Round l to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -17716000 to the nearest 100000.\nAnswer: -17700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -46 + -247. Which is smaller: -292 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {h: 4, t: 6, u: 1, o: 4, w: 1}. Give prob of picking 1 t, 2 o, and 1 w.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let x(w) = 2*w**2. Let p(o) = -15*o + 27. Let s(c) = -4 + 0*c - 3*c + 5*c. Let g(q) = 220*q + 1293. Let u be g(-6). Let k(t) = u*s(t) - 4*p(t). What is x(k(z))?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Is 7446544 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let p(y) = 2*y**3 + 22*y**2 - 262*y + 537. Calculate p(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 302 minutes before 3:12 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (47\/(1034\/(-341)))\/((-4)\/8).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-22)\/21 - (-6)\/(-21)) + 137314\/(-5802).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 3337.\nAnswer: 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: -3ac0 (base 14) to base 13\nAnswer: -493c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -6 = -3*j + 4*y - 4, -2*j - 2*y = -6. Let x(c) = -22*c**j - 21*c + 33*c - 12*c. Let v(i) be the first derivative of i**2\/2 + 1. Calculate x(v(d)).\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*f = m + 3*f - 1130, 5*f = -10. What are the prime factors of m?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-3*p - 3 + 3)*(3*p - 3*p + p + (-5 + 3 + 0)*(4*p + 0*p - 2*p) + 0*p - 8*p + 0*p)*(-2*p - 2 + 2) to the form j*p + k + s*p**2 + l*p**3 and give l.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Put -0.155, 0.4, 14 in ascending order.\nAnswer: -0.155, 0.4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Is 9 a factor of 399753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((2*sqrt(1152) + sqrt(1152) + sqrt(1152))\/sqrt(6) + -3)*-1.\nAnswer: -32*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let n(a) = 2*a**2. Suppose 4 = -2*w + 4*w. Let f be 12\/5 + 6\/(-15). Let h(r) = -f*r**2 + 2*r - w*r. Give h(n(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let t(p) = 341*p - 17. Let h be t(1). Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from eletettuetw.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: How many nanograms are there in twenty-one fifths of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -15*h**2 - 3*h**2 - 20244*h + 20244*h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: (21 + -59 - -4) + 22\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (-33)\/(-7) - (141\/21 - 7). Sort 4, f, -13 in ascending order.\nAnswer: -13, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((o*(o\/((o**0*o)\/o))\/o)\/((o\/o**(-2\/25))\/o*o))**(1\/58))**(1\/11) assuming o is positive.\nAnswer: o**(-1\/7975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 95*j - 76*j - 11 + 923. Which is the nearest to -1\/3? (a) -5 (b) 2\/9 (c) -0.4 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put together 172 and -1553715862205.\nAnswer: -1553715862033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of 110, 1174, 4158, 10028, 19750, 34290?\n\"Answer: 161*k**3 - 6*k**2 - 45*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 28 + 27. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -30933, -123671, -278045, -493899, -771077, -1109423, -1508781?\nAnswer: -1968995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 3 - -3 - (-13 + 12 + 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 378546488 to the power of 1\/2, to the nearest integer?\nAnswer: 19456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Is 106\/463529 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let s(k) = 534*k**2 + 34*k - 21. Is s(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -10*z = 31*z - 104 - 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let x(f) = f + 1. Let b(h) = 5*h**2 + 2*h + 5. Calculate -b(u) + 2*x(u).\nAnswer: -5*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is 138 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -41 + -30?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Expand -2 + 112*w - 46695*w**2 + 46703*w**2 + 130*w + (-w + 1 - 1)*(2 - 2*w - 2) - 4*w**2 + w**2 + 2*w**2.\nAnswer: 9*w**2 + 242*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is (11\/(154\/24))\/(392\/(-4116))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence lddv when four letters picked without replacement from {v: 7, l: 5, d: 2}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 668 + -647. Is k <= 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of (29*(-37 + -6) + 4)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 3994162 is divided by 1850.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*s - 2*b = 8, -4*s = 3*b + 8 - 30. Solve -6 = -s*d + 3*c, d + d = 4*c - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -7 + 11. Suppose -40 = -3*s + p*j, -3*s + j + 39 = -2*j. What is the greatest common divisor of 72 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(v) = -82*v**3 + 6*v**2 - 28*v + 4. Let r(k) = -163*k**3 + 11*k**2 - 56*k + 7. Let d(a) = -11*m(a) + 6*r(a). What is the second derivative of d(y) wrt y?\nAnswer: -456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -2\/13 (c) 6\/13 (d) 5.3 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Sum 8.2685572986 and 2811.\nAnswer: 2819.2685572986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let p be (-2 - -4)*1 + 0. Suppose -p*h = -y - 1, -1 = -2*h + 3*y + 2. Which is smaller: h or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 3923827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let j(u) = -u**3 + 97*u**2 - 34*u - 316. Give j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (-6)\/(-27)*(-78)\/(-4). Let t = 10687\/99 - 1185\/11. What is the second biggest value in 1\/2, t, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(o) = 6*o + 3. Let h(m) = 7*m + 4. Let u(k) = -4*a(k) + 3*h(k). Let t(g) be the third derivative of -g**4\/12 + 9*g**2. Determine t(u(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Divide 428 by -9551.\nAnswer: -428\/9551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-9283*z**3 - 1113*z + 371*z + 366*z + 376*z)*(0 + 0 - 2).\nAnswer: 18566*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-78)\/(2340\/(-30))*55.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (-5)\/(50\/(-56))*1*10. Suppose 0*g - 5*g - 3*p = -b, 2*g = -3*p + 17. Suppose 0 = 14*n - g*n - 49. Calculate the greatest common factor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify q*q**(-5\/6)*q**(-10)*q*(q\/((q*q**(2\/9)*q*q)\/q))**48 assuming q is positive.\nAnswer: q**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 1637 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is 71548113827 take away 4325?\nAnswer: 71548109502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: 1 (base 15) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 4043 in 0.12, -4, -1, 2, 0.02?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Round 6917000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 25.86*2.\nAnswer: 51.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from jmjjjmjjjmmmjmjjjm. Give prob of picking 2 m and 1 j.\nAnswer: 77\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} -{"text":"Question: Round 0.000000388162811 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*d - 13*x = -11*x - 1628, -1222 = 3*d - x. Let l = d - -972. Does 94 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the oth term of 310, 312, 314?\n\"Answer: 2*o + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -273655 or -273652?\nAnswer: -273652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1 + 7 = 4*k. Let r be 66\/9 + k\/3. Suppose -r = 3*p - 38. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*o + 431 = 5*l, -7*o - 3*l - 407 = -11*o. Suppose 5*t = -n - 2, 4*n - 33 = t + 22. Calculate the greatest common factor of o and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-5 - (-9 - -5)) + (-8 - (-14 - -14))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Determine m, given that 2*m**3 + 732*m**2 + 35698*m - 1306032 = 0.\nAnswer: -299, -91, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is 11101 - 110010001010?\nAnswer: -110001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*u - 2*r + 547 = 0, -5*r = 4*u - 0*r - 441. Let n = u - 94. What is the remainder when n is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 271082356.0000326 + -271082423. Let n = -67 - i. Round n to six dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(l) be the first derivative of 11*l**5 - l**2 - 9*l - 64. Find the second derivative of h(y) wrt y.\nAnswer: 660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(w) be the second derivative of 3224*w**4\/3 + 9609*w**2\/2 - 6832*w. What is the derivative of r(b) wrt b?\nAnswer: 25792*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -9 - -8.58. Let m = 0.47 + -0.07. Let z = m + l. What is z rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(s) = s + 57. Let r be u(4). Suppose -2*w = -0 - 4. Suppose -7 = -w*g + r. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(r) = -9*r**3 - 5*r**2 - 3*r - 5. Let x(t) = -10*t**3 - 6*t**2 - 4*t - 6. Calculate -6*f(h) + 5*x(h).\nAnswer: 4*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let j(f) = f**2 + 17*f - 26. Let h be j(-19). Suppose -15*c - 246 = -h*c. Let z = 71 + c. Is z at most -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 24 = -8224*v + 8218*v. Let i = 56\/5 + -57\/5. Which is the nearest to 2\/11? (a) v (b) -4\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of -0.5 and 2408.486.\nAnswer: -1204.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 599 - 594. Solve -a*c - 2*l - 12 = 0, -8*c = -4*c - 2*l + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-4 - 3 - 3 + 5)*(0 + 0 + 25*y**2) + (2*y - 2*y - 2*y)*(0*y + 5*y - y) - 3*y + 3*y - y**2 to u*y**2 + b*y + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Convert 130 (base 7) to base 14.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -10 + 8. Let w(f) = 2*f**2 + 4*f + 2. Let d be w(b). Suppose -37 = d*o - 113. Calculate the smallest common multiple of o and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 664 minutes after 5:08 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*i = 4*v - 333 + 283, -13*i - 44 = -5*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*k**5 - 20011*k**4 + 1571087*k**3 - 26784918*k**2 - 165076380*k - 210124152 = 0. Calculate k.\nAnswer: -3, -2, 42, 19853\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 18576 and 1676656.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: 33\/(396\/(-120)) + 4 - (0 - -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: 22233 (base 4) to base 2\nAnswer: 1010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from exjpxxjxdjdjpjjjepjx. Give prob of picking 2 e and 1 x.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Find b, given that 4*b**2 + 233384*b - 65189888 = 0.\nAnswer: -58624, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -10111011110000011001100101 - -1?\nAnswer: -10111011110000011001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 5*m - 26*r - 400, 5*m - 25 = -1945*r + 3889*r - 1943*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((u*u**0)**(-7\/9))**20 assuming u is positive.\nAnswer: u**(-140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) 20 (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in -1, 13, 114?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -12*v + 11*v = 0. Suppose -2*g + g + 40025 = v. Suppose 4*z + 5*r = 5*z + g, 5*z - r = -200005. Round z to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*b - 5 = -2*c, 4*b + 1 = -3*c - 2. Put -2, 2, -3, b in ascending order.\nAnswer: -3, -2, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*s - q + 25 = 0, -9*q + 47 = 5*s - 10*q. Let b be 4\/14 - 44\/7. Let m be 6\/s + (-92)\/b. Solve -c - 2*c - 3*p = -6, -2*c - 5*p = -m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(u) = -4*u**3 + 5*u - 7. Suppose 0 = -9*d + 7*d + 2. Let x(v) = -v**3 + v - 1. Determine d*y(i) - 5*x(i).\nAnswer: i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -12 + 17. Let p(i) = -i**3 + 5*i**2 + 3*i - 7. Determine p(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 1.3085 + -2.3085. What is the fourth biggest value in 1, 625, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 70668 by 155.\nAnswer: 70668\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 44 + -43. Which is smaller: -2\/47 or q?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 278.99 micrograms to grams.\nAnswer: 0.00027899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4*b + 2*b - 3*b)*(-441 - 88*b + 32*b + 21 + 55*b).\nAnswer: -3*b**2 - 1260*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*i**2\/7 - 284*i\/7 + 286\/7.\nAnswer: -2*(i - 1)*(i + 143)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 2071326619.\nAnswer: 21529, 96211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Expand -2 + 2 - 3*w + (0 - 1 + 3)*(-w + 1 - 1) + (2 + 2 - 1)*(437 - 437 - 45*w) + 1 - 2*w - 1.\nAnswer: -142*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.9097614 centuries in months?\nAnswer: 1091.71368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 9326465?\nAnswer: 5, 271, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -222 = -2*m + 60. Suppose 3*w + 19 - m = -5*d, -2*d = w - 48. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -3 - (5 - (9 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 21\/(-175)*338\/(-36) - 5\/(-125)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(d) = d**2 + 8*d + 17. What is the units digit of g(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2620913?\nAnswer: 2620913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Sort 10, -3, 2\/9, 1.\nAnswer: -3, 2\/9, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 150 + -785. Let p = 14607\/23 + m. Let u = 464\/335 - -1\/67. Sort -1, u, p in increasing order.\nAnswer: -1, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 60*v**5\/7 + 71632*v**4\/7 - 3035472*v**3\/7 + 15460456*v**2\/7 + 2306700*v - 345800 = 0. Calculate v.\nAnswer: -1235, -1, 2\/15, 7, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2533537?\nAnswer: 31, 81727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 197*y - 76*y + 372*y + 1.\nAnswer: 493*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let v(g) = 71*g. Let w be v(1). Let i = w - 50. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a be (-2)\/8 - (-87)\/12. Let i(q) = -6*q**3 + 6*q**2 - q - 6. Let m(z) = -5*z**3 + 5*z**2 - z - 5. Let l(d) = a*m(d) - 6*i(d). Let l(y) = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -46, -1, -1\/14, 3, -1\/3 in decreasing order.\nAnswer: 3, -1\/14, -1\/3, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is -10 (base 3) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let r(x) be the third derivative of 1\/5*x**5 - 1\/21*x**7 + 4*x**2 + 0*x**3 + 0*x**4 + 0 + 0*x + 0*x**6. What is the third derivative of r(b) wrt b?\nAnswer: -240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 11*o - 24*o + 11*o + 7*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -164 + 5*z + 164.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 12:25 AM and 6:59 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 46535 is divided by 1108?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 165001 (base 8) in base 6?\nAnswer: 1141201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let i(s) = -6*s - 139. Let q(f) = -5*f - 139. Determine -3*i(z) + 4*q(z).\nAnswer: -2*z - 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let b(x) = -4*x + 2. Let w be b(-2). Suppose 2*p - 85 = -3*i, -3*p - 2*i = i - 135. What is the greatest common divisor of w and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*n**4 + 14*n**3 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let n be ((-5)\/(-2))\/(-5) - (-2305)\/2. Suppose 220*u = 214*u + n. What is the greatest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*s + 3*s + 680. Let b(t) = -t**2 + 27*t - 6. Let y be b(12). Let v = s - y. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -15586 - -15585.5. Suppose -27*f + 26*f = -3. Let k = -3 - -3.2. Which is the second biggest value? (a) g (b) k (c) f (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 368 - u - 368.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -8.3 - -8. Let f = m + 0.4. What is the third smallest value in 2\/5, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2475*n - 2473*n = 3*r + 17, -6*r - 2*n = -8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Find b such that -4*b**5 - 1397*b**4 - 346*b**3 + 1047*b**2 = 0.\nAnswer: -349, -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Put -1, 6, 256, -1\/9, 1 in decreasing order.\nAnswer: 256, 6, 1, -1\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is -10302220 + 11?\nAnswer: -10302204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is 539 minutes after 10:22 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: 99*81088\nAnswer: 8027712","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} -{"text":"Question: Let w(p) = p**3 + 3*p**2 + 3*p + 6. Let h be w(-3). Suppose 2*z + 3*x = -14 + 68, 2*z - 4*x = 68. Let r be -1 - (z\/(-3) - 1). Put 4, r, h in increasing order.\nAnswer: h, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(r) = r**3 + 11*r**2 - 15*r - 4. Let g be l(-12). Let w = -48 + g. Is 1\/(-4) - 324\/w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 2994 divided by 998?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 122181013.\nAnswer: 31, 101, 39023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 14756634 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let v(k) = -3*k**2 - 181*k - 9. Let y(l) = 314*l. Determine y(v(z)).\nAnswer: -942*z**2 - 56834*z - 2826","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 0.3, -35, -5, 1, 3.4, 16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 454 minutes before 6:22 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: 1\/((-1071)\/(-1575)*25)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify v**(-14)*v*v*(v*v**(-3\/10))\/v*(v*v**17)\/v**(1\/15) assuming v is positive.\nAnswer: v**(169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -0.04465 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 11\/34 - 9\/238. What is the second smallest value in -5, q, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 3*w + 3*m + 15, 3*w - 13 = -6*m + 10*m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*w = 1 + 2. Suppose 0 = -5*l + x + 2*x + 402, -w = -x. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-238*d**2 - 174*d**2 + 32*d**2 + 126*d**2)*(-3*d**2 + d**2 + 0*d**2).\nAnswer: 508*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 58558094 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Product of -0.3 and -285692.\nAnswer: 85707.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*u - l - 135 = 0, -2*u - 2*u + 3*l + 175 = 0. Let y = -44 + u. Suppose -5*k + 79 = -4*k - y*i, -4*i + 103 = k. Is 29 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose o + 2*o = -3*u + 18, -2*u = -2*o + 4. Let d = 12 + -7. Which is the smallest value? (a) -0.4 (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -12*x - 20*x - 2*x = -578. Which is smaller: x or -0.051?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -v + 2*v - 79*v**2 - v + 77*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 277 is divided by 65.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*y - 8 = -y. Let s(p) be the third derivative of 4*p**y + 0*p + 0*p**4 + 1\/20*p**5 + 0 + 0*p**3. Let b(w) = 2*w**2. What is b(s(i))?\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 62 - ((-12 - 92) + 149).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -b**2 + 23097739892*b + b**2 - 2*b**3 - 23097739892*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Does 16 divide 22219952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*v + 3*f - 66 = v, 20 = -5*f. Let b = -54 - v. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(h) = h. Let d(j) = j**2 - 4*j. Let z(t) = 6*t**2 - 20*t. Let m(b) = -11*d(b) + 2*z(b). Calculate -m(l) + 4*n(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 0 or 181856?\nAnswer: 181856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 224497*n**5 - 605*n wrt n?\nAnswer: 4489940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -261*n**4 + 8*n**2 + n + 263*n**4 + 4*n**2 - 4*n**3 - n**3 wrt n.\nAnswer: 48*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in 3, -1981, -217, 4?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let f(y) be the third derivative of 0*y**3 + 0*y + 19\/60*y**5 + 13*y**2 + 7\/40*y**6 + 0 + 0*y**4. Find the third derivative of f(j) wrt j.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 3370?\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let p be (8\/(-6))\/((-3)\/18). Let o = p + -8. Suppose -5*x = -9*x + 8. Solve n - 5*n = o, 10 = -2*t + x*n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 122 - 125 + 27*n**2 + 13*n**2 in the form s + u*n + j*n**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -9 - (-5 - -1) - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 33837 is divided by 1353?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is -514 equal to -514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*o - 4*z + 60 = -0, 2*o = -z + 35. What is the remainder when o\/15*186\/4 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from upppvdduv. What is prob of picking 2 p and 2 u?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let j(r) = r**2 - 5*r. Let d be j(4). Let q = -2 - d. Suppose 4*x = 0, 0 = 2*p - q*x - 2*x - 18. Calculate the remainder when p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is ((-81804)\/(-45) - 1) + 4\/30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 23 + -16. Let z = i - 3. What are the prime factors of 2 + z\/(-2) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*w = -6*t + 3*t + 152329, 8*w = 4*t - 203180. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -199*d**3 + 546*d**3 - 173*d**3 - 175*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 5370*w**3 - 2673*w**3 - 2701*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*z - 9 = -2*i + 1, 4*z - 40 = -2*i. Calculate the greatest common factor of 15 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 320 + -140. Suppose -4*r = -9*r + l. Does 39 divide (39\/9 + 0)*r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {c: 2, r: 2, z: 2, l: 4, i: 1, p: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Put -5, 4, -11654 in descending order.\nAnswer: 4, -5, -11654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 452.39 - 8.39. Let z = 397.8 - u. What is z rounded to zero dps?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {l: 1, s: 1, c: 1, i: 1, q: 2, w: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in 1, 0.023, -4\/7, -1555?\nAnswer: -1555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 186157494.\nAnswer: 2, 3, 179, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -143\/2 in 0.4, -2, 37.106?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -1\/32633 or -1?\nAnswer: -1\/32633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -0.1948751 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let g(c) = c**2 + 4*c - 7. Let m be g(-5). Let b = 0 - m. Let o(q) = -2*q**2 + 2*q**b - q**2. Let v(y) = -3*y**2. What is o(v(k))?\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 13775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 11676 is divided by 1944?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between -0.08907 and 4?\nAnswer: 4.08907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let o(x) be the first derivative of 3*x**2\/2 + 15*x + 179. Let s(k) = -k - 7. Give 6*o(z) + 13*s(z).\nAnswer: 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: -27326695 divided by -5\nAnswer: 5465339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 0 (b) -1\/5 (c) 80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 120 minutes after 9:58 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Put 16, 5, 0, -1 in descending order.\nAnswer: 16, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -32 + 32 - 12*p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve p - 2*v - 1393 + 1397 = -0*v, 2*v - 12 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 31423778.85 rounded to the nearest one thousand?\nAnswer: 31424000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 0.13 in 0.5, -1\/15, -0.4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 8086 - 4311. What are the prime factors of t?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*x = l + 9, -3*l - 54*x - 17 = -53*x. Let v = 1.19 + -0.19. What is the nearest to 1 in l, v, 4\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}